Answers
Algebra
- ( -frac{2}{3} x_{1}^{1} – frac{2}{sqrt{3}} x_{1}^{2} ).
- ( -frac{p}{24} x^4 + frac{f}{6} x^3 + a x + b ).
- ( dfrac{3x^2-18x}{x^2-2x-24} )
- ( dfrac{x^2-16}{x-2} div dfrac{x^2+3x-4}{x-8} )
- ( g(x) = dfrac{x^{2} + 5x – 14}{x^{2} + 4x – 21} ).
- ( t = frac{(2 – x)(3 – x)}{3x^2 – 7x + 6} ).
- ( x^{5} y^{3} (-2 x^{3} y) ).
- ( x^4 + y^4 – 2a^2left(x^2 + y^2right) + a^4 = 0 ).
- ( y^{2} + x^{4} y + x + 1, f_{2}[x,y] ).
- ( y^2 = 8x + x^2 + 4x^3 + 4x^4 + 8x^5 ).
- ( z^2 = 2 cdot x^5 + 2 cdot x^3 + 1 ).
- ( z^2 = 4 x + x^2 + 4 x^3 + 4 x^5 ).
- ((x-1)(x^2+3x-5)).
- (1 + frac{(a)_{1} (a-b+1)_{1}}{(-x)^{1}}).
- (13 – x^{2} = -10).
- (25x^{2}-16).
- (2x – 4y = -12).
- (3x + 2y geq 24).
- (7x + 2 = 9).
- (frac{1}{5}left(20y – 13right)).
- (x^{7} – 21x^{4} + 35x^{2} – 6x + 18).
- (x^2 – 6x = -6x + 4).
- (x^7 + 28x^4 – 42x^3 + 6x + 11).
- (y^2 – x^3) (4x) (square)
- (y^2 = x^3 – 47).
- (y^2 = x^6 + 4x^5 + 6x^4 + 2x^3 + x^2 + 2x + 1.)
- [ dfrac{9}{4}y – 12 = dfrac{1}{4}y – 4 ]
- \( (-x – 10) (x^2 – 2x + 1) \).
- \( (2x – 3)(3x^2 – x + 6) \).
- \(-10x + 6(-x + 3) = -(6x – 6) – 7x\)
- \(-2x + 5(x – 4) – 3(2x – 3) = 10\).
- \(-2x^3 y^5 (x^3)\).
- \((-3x-4)(x^2+3x-5)\).
- \((-x+2)(x^2+9x-2)\).
- \((4x+5)(x^2-2x+5)\).
- \((x-4)(2x^2+5x-3)\)
- \((x+3)(x^2+3x+5)\).
- \(1:x = x:64\). What one number can replace \(x\)?
- \(2:x = x:50\). What one number can replace \(x\)?
- \(2(2x-4)=5(x-4)\).
- \(2(x^2 – 6) – 8 = 2\)
- \(2(x^2-7)+3=-3\).
- \(7 – 3 + 6 + x\)
- \(f(1+x)+f(1-x)=0\), \(f(-x)=f(x)\), \(2^{x}-1\).
- \(x + y + x y = 1\) expression \(x y + \frac{1}{x} – \frac{y}{x} – \frac{x}{y}\).
- \(x^2 + 2y^3 – 3x^2 + 1 + 5 – 4 + 3y^3\)
- \(x^2-3x-4=-3x\).
- \(x^2+7x+3=3\).
- \(x^4 – 10x^3 + 35x^2 – 50x + 25\) factorization.
- \(x^4 – 8x^3 + 13x^2 – 24x + 9\) factorization.
- \(x^4 + x + 2\) irreducible over \(\text{GF}(3)\).
- \[ \frac{2 x^4 y^{-4} z^{-3}}{3 x^2 y^{-3} z^4} \]
- \[ \frac{3 x^3 y^{-1} z^{-1}}{x^{-4} y^0 z^0} \]
- \[ \frac{32x^3y^2z^5}{-8xyz^2} \]
- \[ \frac{x^3 + x^2 + x + 2}{x^2 – 1} \] long division.
- 1 foot plus 12 inches equals how many feet?
- A negative divided by a positive equals.
- A negative minus a negative equals a positive: \(-(-x)=x\).
- A negative plus a negative equals.
- A positive minus a negative equals.
- A positive number divided by a negative number equals a negative number: \( (+) \div (-) = (-) \).
- A positive plus a negative equals.
- A positive plus a positive equals.
- Ali graphs the function ( f(x) = -(x + 2)^2 – 1 ) as shown. Which best describes the error in the graph?
- Anything \( \div 0 = \).
- Determine the y-intercept of the following equation: ( (-4x-4)(3x-15) = y ).
- Divide \(f(x) = 3x^3 + 8x^2 + 5x – 4\) by \(x + 2\).
- Drag the red and blue dots along the (x)-axis and (y)-axis to graph (-3x + 6y = 21).
- Evaluate \(5\lvert x^3 – 2\rvert + 7\) when \(x = -2\).
- Expand \( (-x + 4)(3x^2 – 2x – 7) \).
- Expand and simplify \( (2x+1)(-3x^2 – x + 9) \).
- Expand and simplify \( (x-9)(x^2+x+2) \).
- Exponential function formula \(y = a b^{x}\).
- Express as a trinomial: ( (2x – 8)(2x – 6) = 4x^2 – 28x + 48 ).
- Express as a trinomial: ( (2x + 6)(x + 9) = 2x^2 + 18x + 6x + 54 = 2x^2 + 24x + 54).
- Factor \(x^3 + x^2 + 2x + 2\) by grouping.
- Factor \(x(x+1)(x-4)+4(x+1)\) meaning / means.
- Factor completely: (9 – x^{2} = (3 – x)(3 + x)).
- Find the inverse of the function \(f(x) = 2x – 4\).
- Find the quotient: \( (5x^4 – 3x^2 + 4) \div (x + 1) \).
- Find the slope of the line (y = 12x + tfrac{1}{6}). The slope is (12).
- Find the x- and y-intercepts of the graph of (-2x+4y=12). State each answer as an integer or an improper fraction in simplest form.
- Find the x-intercept by setting (y=0). Then [x+3cdot 0 = 24] so (x=24).
- Find the x-intercept of the line (12x + 19y = 11)
- Find the x-intercept of the line (3x + 20y = -12).
- Find the x-intercept of the line (5x + 11y = -2).
- Find the x-intercept of the line (7x+12y=-14).
- Find the y-intercept of the line (15x + 18y = -20).
- Find the y-intercept of the line (18x – y = 5).
- Find the y-intercept of the line (y = -frac{9}{13}x – frac{11}{8}).
- Find the y-intercept of the line (y=frac{2}{5}x-frac{14}{11}).
- Find the y-intercept of the line represented by the equation: [ -12 = -2x – 4y ]
- For the following quadratic equation, determine the nature of the roots. The equation is (x^2 + 10x + 25 = 0).
- For what values of \(x\) is \(x^2 – 36 = 5x\) true?
- For what values of \(x\) is \(x^2 + 2x = 24\) true?
- Fully simplify: ( (-2 x^{3} y^{3})^{5} = -32 x^{15} y^{15} ).
- Fully simplify. [ (2x^3 y^5)^5 = 2^5 x^{15} y^{25} = 32 x^{15} y^{25} ]
- graph of ( f(x) = x^{2} – 7 lvert x – 2 rvert cdot lvert x – 3 rvert + 5. )
- Graph the inequality on the axes below. (y ;gt; -x – 3).
- Graph the inequality. (y < x – 3)
- Graph this function: ( y = x + 2 ). Click to select points on the graph.
- Graph this inequality: (x – 3y > 6).
- Identify the graph of \(y = \ln(x) + 1\).
- Identify the solution set of \(3 \ln(4) = 2 \ln(x)\).
- If \(3x – y = 12\), what is the value of \(\frac{8^x}{2^y}\)?
- If \(f(x) = 3x + 2\) and \(g(x) = x^2 – x\), find the value.
- If \(f(x)=2x^2+1\), what is \(f(x)\) when \(x=3\)? Choices: 1, 7, 13, 19.
- If \(x – 12y = -210\) and \(x – 6y = 90\), then \(x = 390\).
- If \(x + y + xy = 1\) with nonzero real numbers, find \(xy + \frac{1}{x} – \frac{y}{x} – \frac{x}{y}\).
- If \(xy = -6\) and \(x^3 – x = y^3 – y\), find \(x^2 + y^2\).
- Multiply and simplify: \( (2x – 3)(3x^2 + x – 4) \).
- Negative plus a negative equals what? \( (-a) + (-b) = -(a+b) \).
- Negative plus a positive equals.
- Negative plus negative equals positive.
- One root of \(f(x)=2x^3+9x^2+7x-6\) is \(-3\). How to find the factors of the polynomial.
- Plot the given parabola on the axes. Plot the roots, the vertex, and two other points. Equation: y=x^2+2x-3
- Quadratic function y-intercept formula.
- Rewrite the following polynomial in standard form: (x – 9 + frac{x^{2}}{2}).
- Select all the solutions of the equation (2log x = log(5x – 4)).
- Simplify \( \frac{x^3 + x^2 + x + 2}{x^2 – 1} \).
- Simplify the expression \( (2x – 9)(x + 6) \).
- Simplify the expression \(2(10) + 2(x – 4)\).
- Simplify the expression: \(7x^2 + 3 – 5(x^2 – 4)\).
- Solve \(x^2 – 6x = 16\) by completing the square.
- Solve equation: \( \frac{6.9}{x} = \frac{3}{2} \).
- Solve for (x). [x^2 + 10x + 25 = 0]
- Solve for all values of (x) by factoring. [ x^{2} + 5x + 1 = 5x + 2. ]
- Solve for all values of (x) by factoring. Start with the equation (x^2 – 5x – 1 = -1).
- Solve for y: \(3.4 + 5.1(y + 8) = 85\).
- Solve the equation \(1.25x – 0.35x = 585\) for \(x\).
- Solve the equation \(25x^2 = 16\) for \(x\).
- Solve the equation \(3x^2 + 4x + 2 = -x\).
- Solve the equation \(x^2 – x + 5 = 5\).
- Solve the equation \(x^2 + 5 = -5x – 1\).
- Solve the equation: \( -3(x – 14) + 9x = 6x + 42 \).
- Solve the equation: \( -3x + 1 + 10x = x + 4 \).
- Solve the quadratic equation. (x^2 + 9 = 7x.)
- Solve this system of equations: \(y = x – 4\) and \(y = 6x – 10\).
- Solve: \(62x – 3 = 6 – 2x + 1\). Choices: \(x = -1, x = 0, x = 1, x = 4\).
- Solve. (2(2x-4)=4)
- The function g is defined by \(g(x)=x(x-2)(x+6)^2\).
- The graph of \(y = 5x^2\) is the graph of \(y = x^2\).
- The graph of which function has an axis of symmetry at (x = frac{1}{4})?
- The graph shows the equation \(y = x^2 + 4x + 3\).
- The inverse of the function (f(x)=2x+4) is (f^{-1}(x)=frac{x-4}{2}).
- The pair of linear equations \(y=0\) and \(y=-7\) has.
- The parabola \(y=3(x-5)^2\) has ____ x-intercept(s).
- The vertex of the graph of \(y = (x – 1)^2 – 5\) is.
- Use synthetic division to divide (3x^3 – 11x^2 + 16x – 30) by (x – 3).
[
begin{array}{r|rrrr}
3 & 3 & -11 & 16 & -30 \
& & 9 & -2 & 10 \
hline
& 3 & -2 & 10 & 0 \
end{array}
]
The quotient is (3x^2 – 2x + 10), and the remainder is (0).
- Use the distributive property to expand ( -3(8x-4)).
- Use the distributive property to expand \(3(x + 8)\).
- Use the graph of the function (f(x)) to complete the following: identify the (x)- and (y)-intercepts.
- Vertex of \(g(x) = 8x^2 – 48x + 65\)
- What are the domain and range of \(f(x) = 2\left(3^{x}\right)\)?
- What are the domain and range of \(f(x)=2|x-4|\)?
- What are the roots of \(f(x) = x^2 – 48\)?
- What is \(3x^3 – 11x^2 – 26x + 30\) divided by \(x – 5\)?
- What is a solution to \( (x + 6)(x + 2) = 60 \)?
- What is the factored form of \(2x^3 + 4x^2 – x\)?
- What is the factored form of \(3x + 24y\)?
- What is the factored form of \(8x^2+12x\)?
- What is the inverse of the function \(f(x)=2x+1\)?
- What is the quotient of (,x^{3} + 3 x^{2} – 4 x – 12,) divided by (,x^{2} + 5 x + 6,)?
- What is the quotient of \(x^2 + 7x + 12\) and \(x + 4\)?
- What is the slope of the function (y = -2x – 3)?
- What is the solution of the equation \(x^2 = 64\)?
- What is the solution to \(2\log_5(x)=\log_5(4)\)?
- What is the solution to \(4\log_4(x+8)=4^2\)?
- What is the sum of \( \frac{7x}{x^2 – 4} \) and \( \frac{2}{x + 2} \)?
- What is the true solution to \(2 \ln(4x) = 2 \ln(8)\)?
- What is the value of \(x\) if \(\frac{2}{5}x – 17 = 15\)?
- What is the vertex of \(f(x) = |x + 8| – 3\)?
- What is the x-intercept of the line (6x – 3y = 24)? The x-intercept is (4).
- What is true of the function \(g(x) = -2x^2 + 5\)?
- What number minus negative one equals four? \(x – (-1) = 4\)
- Which are the roots of \(x^2 + 10x + 25 = 0\)?
- Which equation is the inverse of \(y = 16x^2 + 1\)?
- Which equation shows the quadratic formula used correctly to solve \(7x^2 = 9 + x\) for \(x\)?
- Which expression is a factor of \(x^2+7x-30\)?
- Which expression is equivalent to \(\log_3(x + 4)\)?
- Which expression is equivalent to \(10x^2y + 25x^2\)? Choices: \(5x^2(2y + 5)\), \(5x^2y(5 + 20y)\), \(10xy(x + 15y)\), \(10x^2(y + 25)\).
- Which expression is equivalent to \(6(x + 2y) + 3 + 4y + 5\)?
- Which function has real zeros at \(x = 3\) and \(x = 7\)?
- Which function has zeros at \(x = -2\) and \(x = 5\)?
- which graph represents the function ( f(x) = 2|x| )?
- Which graph represents the function (f(x) = -lvert x + 3 rvert)?
- Which graph represents the function (f(x) = |x + 3|)?
- Which graph represents the function (h(x) = 5.5lvert xrvert)?
- Which graph represents the function (p(x) = |x – 1|)?
- Which graph represents the function \(f(x) = (x – 5)^2 + 3\)?
- Which graph represents the function \(f(x) = |x|\)?
- Which graph represents the function f(x) = 4|x|?
- Which graph shows the axis of symmetry for the function \(f(x) = (x-2)^2 + 1\)?
- Which graph shows the solution to the system of linear inequalities \(x + 3y > 6\) and \(y \geq 2x + 4\)?
- Which is a solution to \( (x – 2)(x + 10) = 13 \)?
- Which is the graph of \(f(x) = 2(3^x)\)?
- Which is the graph of \(f(x) = x^2 – 2x + 3\)?
- Which is the graph of \(f(x)=-(x+3)(x+1)\)?
- Which is the graph of \(f(x)=100(0.7)^x\)?
- Which is the graph of \(g(x)=\left(\frac{1}{2}\right)^{x+3}-4\)?
- Which is the graph of the linear inequality \(y \geq -x – 3\)?
- Write the quadratic equation in standard form: (5x^2 + 5x = 1).
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- ( -frac{2}{3} x_{1}^{1} – frac{2}{sqrt{3}} x_{1}^{2} ).
- ( -frac{p}{24} x^4 + frac{f}{6} x^3 + a x + b ).
- ( = dfrac{4}{5} times 2dfrac{2}{3}.)
- ( dfrac{3x^2-18x}{x^2-2x-24} )
- ( dfrac{x^2-16}{x-2} div dfrac{x^2+3x-4}{x-8} )
- ( frac{1}{2} times 6 ).
- ( frac{1}{3} + left(-frac{2}{3}right) = -frac{1}{3} ).
- ( frac{1}{3} times frac{1}{3} ).
- ( g(x) = dfrac{x^{2} + 5x – 14}{x^{2} + 4x – 21} ).
- ( t = frac{(2 – x)(3 – x)}{3x^2 – 7x + 6} ).
- ( x^{5} y^{3} (-2 x^{3} y) ).
- ( x^4 + y^4 – 2a^2left(x^2 + y^2right) + a^4 = 0 ).
- ( y^{2} + x^{4} y + x + 1, f_{2}[x,y] ).
- ( y^2 = 8x + x^2 + 4x^3 + 4x^4 + 8x^5 ).
- ( z^2 = 2 cdot x^5 + 2 cdot x^3 + 1 ).
- ( z^2 = 4 x + x^2 + 4 x^3 + 4 x^5 ).
- ((x-1)(x^2+3x-5)).
- (1 + frac{(a)_{1} (a-b+1)_{1}}{(-x)^{1}}).
- (13 – x^{2} = -10).
- (25x^{2}-16).
- (2x – 4y = -12).
- (3x + 2y geq 24).
- (7x + 2 = 9).
- (frac{1}{2}timesfrac{1}{2}timesfrac{1}{2}).
- (frac{1}{5}left(20y – 13right)).
- (x^{7} – 21x^{4} + 35x^{2} – 6x + 18).
- (x^2 – 6x = -6x + 4).
- (x^7 + 28x^4 – 42x^3 + 6x + 11).
- (y^2 – x^3) (4x) (square)
- (y^2 = x^3 – 47).
- (y^2 = x^6 + 4x^5 + 6x^4 + 2x^3 + x^2 + 2x + 1.)
- [ dfrac{9}{4}y – 12 = dfrac{1}{4}y – 4 ]
- \( (-x – 10) (x^2 – 2x + 1) \).
- \( (2x – 3)(3x^2 – x + 6) \).
- \( \text{Positive} + \text{positive} = \text{positive} \)
- \(-10x + 6(-x + 3) = -(6x – 6) – 7x\)
- \(-2x + 5(x – 4) – 3(2x – 3) = 10\).
- \(-2x^3 y^5 (x^3)\).
- \((-3x-4)(x^2+3x-5)\).
- \((-x+2)(x^2+9x-2)\).
- \((4x+5)(x^2-2x+5)\).
- \((x-4)(2x^2+5x-3)\)
- \((x+3)(x^2+3x+5)\).
- \(\frac{2}{3} + \frac{2}{3} =\).
- \(1:x = x:64\). What one number can replace \(x\)?
- \(2:x = x:50\). What one number can replace \(x\)?
- \(2(2x-4)=5(x-4)\).
- \(2(x^2 – 6) – 8 = 2\)
- \(2(x^2-7)+3=-3\).
- \(7 – 3 + 6 + x\)
- \(8\frac{3}{4} \times 5\frac{5}{8}\) double window envelopes.
- \(a^{2} + b^{2} =\).
- \(a^2 + b^2 = c^2\).
- \(a^2 + b^2 = c\).
- \(f(1+x)+f(1-x)=0\), \(f(-x)=f(x)\), \(2^{x}-1\).
- \(x + y + x y = 1\) expression \(x y + \frac{1}{x} – \frac{y}{x} – \frac{x}{y}\).
- \(x^2 + 2y^3 – 3x^2 + 1 + 5 – 4 + 3y^3\)
- \(x^2 + y^2 – z^2 = 1\) hyperboloid of one sheet.
- \(x^2-3x-4=-3x\).
- \(x^2+7x+3=3\).
- \(x^4 – 10x^3 + 35x^2 – 50x + 25\) factorization.
- \(x^4 – 8x^3 + 13x^2 – 24x + 9\) factorization.
- \(x^4 + x + 2\) irreducible over \(\text{GF}(3)\).
- \(y^2 + y = x^3 – x^2 – 10x – 20\) elliptic curve.
- \(y^2 = x^6 + 2x^3 + 4x^2 + 4x + 1\) discriminant.
- \[ \frac{1}{3} \times \frac{1}{3} \times \frac{1}{3} \times \frac{1}{3} \] in fraction form.
- \[ \frac{2 x^4 y^{-4} z^{-3}}{3 x^2 y^{-3} z^4} \]
- \[ \frac{2}{3} \times \frac{1}{16} \]
- \[ \frac{2}{3} \times \frac{1}{2} \] as a fraction.
- \[ \frac{2}{3} \times \frac{4}{5} \] as a fraction.
- \[ \frac{2}{5} \times 4 \] as a fraction.
- \[ \frac{3 x^3 y^{-1} z^{-1}}{x^{-4} y^0 z^0} \]
- \[ \frac{32x^3y^2z^5}{-8xyz^2} \]
- \[ \frac{4}{5} \times 3 \] as a fraction.
- \[ \frac{x^3 + x^2 + x + 2}{x^2 – 1} \] long division.
- \[ 12 \times \frac{1}{6} \]
- \[ 2 \times \frac{2}{3} \] as a fraction.
- 1 foot plus 12 inches equals how many feet?
- A negative divided by a positive equals.
- A negative minus a negative equals a positive: \(-(-x)=x\).
- A negative plus a negative equals.
- A positive minus a negative equals.
- A positive number divided by a negative number equals a negative number: \( (+) \div (-) = (-) \).
- A positive plus a negative equals.
- A positive plus a positive equals.
- Ali graphs the function ( f(x) = -(x + 2)^2 – 1 ) as shown. Which best describes the error in the graph?
- Anything \( \div 0 = \).
- Curve \(y^2 = x^6 + 2x^3 + 4x^2 + 4x + 1\).
- Determine the y-intercept of the following equation: ( (-4x-4)(3x-15) = y ).
- Directrix of parabola \(y = ax^2 + bx + c\) formula.
- Discriminant of hyperelliptic curve \(y^2 = f(x)\).
- Divide \(f(x) = 3x^3 + 8x^2 + 5x – 4\) by \(x + 2\).
- Drag the red and blue dots along the (x)-axis and (y)-axis to graph (-3x + 6y = 21).
- Elliptic curve \(y^2 + y = x^3 – x^2 – 10x – 20\).
- Euler’s formula \(e^{ix} = \cos(x) + i \sin(x)\).
- Evaluate \(5\lvert x^3 – 2\rvert + 7\) when \(x = -2\).
- Expand \( (-x + 4)(3x^2 – 2x – 7) \).
- Expand and simplify \( (2x+1)(-3x^2 – x + 9) \).
- Expand and simplify \( (x-9)(x^2+x+2) \).
- Exponential function formula \(y = a b^{x}\).
- Express as a trinomial: ( (2x – 8)(2x – 6) = 4x^2 – 28x + 48 ).
- Express as a trinomial: ( (2x + 6)(x + 9) = 2x^2 + 18x + 6x + 54 = 2x^2 + 24x + 54).
- Factor \(x^3 + x^2 + 2x + 2\) by grouping.
- Factor \(x(x+1)(x-4)+4(x+1)\) meaning / means.
- Factor completely: (9 – x^{2} = (3 – x)(3 + x)).
- Fibonacci generating function \( \frac{x}{1 – x – x^2} \).
- Find the inverse of the function \(f(x) = 2x – 4\).
- Find the quotient: \( (5x^4 – 3x^2 + 4) \div (x + 1) \).
- Find the slope of the line (y = 12x + tfrac{1}{6}). The slope is (12).
- Find the slope of the line \(y = \frac{2}{3}x + \frac{3}{2}\).
- Find the slope of the line \(y = \frac{2}{9}x + \frac{6}{13}\).
- Find the slope of the line \(y = \frac{3}{11}x + \frac{3}{16}\).
- Find the slope of the line \(y = \frac{3}{4}x + 14\).
- Find the slope of the line \(y = x + 18\).
- Find the slope of the line \(y=12x+6\).
- Find the volume of a rectangular prism measuring \( \frac{5}{2} \times \frac{5}{2} \times \frac{5}{2} \).
- Find the x- and y-intercepts of the graph of (-2x+4y=12). State each answer as an integer or an improper fraction in simplest form.
- Find the x-intercept by setting (y=0). Then [x+3cdot 0 = 24] so (x=24).
- Find the x-intercept of the line (12x + 19y = 11)
- Find the x-intercept of the line (3x + 20y = -12).
- Find the x-intercept of the line (5x + 11y = -2).
- Find the x-intercept of the line (7x+12y=-14).
- Find the x-intercept of the line \(10x + 14y = -18\).
- Find the x-intercept of the line \(12x + 11y = 8\).
- Find the x-intercept of the line \(12x + 11y = 8\).
- Find the x-intercept of the line \(18x – 5y = 12\).
- Find the x-intercept of the line \(20x – 17y = 15\).
- Find the x-intercept of the line \(2x – 4y = -12\).
- Find the x-intercept of the line \(3x + 20y = -24\).
- Find the x-intercept of the line \(3x + 6y = 21\).
- Find the x-intercept of the line \(3x + 6y = 21\).
- Find the x-intercept of the line \(6x – 4y = 14\).
- Find the x-intercept of the line \(7x – 17y = -28\).
- Find the x-intercept of the line \(8x + 6y = 16\).
- Find the x-intercept of the line \(8x+14y=15\).
- Find the x-intercept of the line \(9x – 3y = 24\).
- Find the x-intercept of the line 4x+11y=20
- Find the y-intercept of the line (15x + 18y = -20).
- Find the y-intercept of the line (18x – y = 5).
- Find the y-intercept of the line (y = -frac{9}{13}x – frac{11}{8}).
- Find the y-intercept of the line (y=frac{2}{5}x-frac{14}{11}).
- Find the y-intercept of the line \(y = \frac{5}{6}x + 5\).
- Find the y-intercept of the line \(y = \frac{7}{9}x + \frac{2}{3}\).
- Find the y-intercept of the line \(y = \frac{8}{9}x + 2\).
- Find the y-intercept of the line \(y = \frac{9}{20}x + \frac{8}{3}\).
- Find the y-intercept of the line \(y = 2x + \frac{2}{13}\).
- Find the y-intercept of the line \(y=-\frac{15}{4}x-18\).
- Find the y-intercept of the line represented by the equation: [ -12 = -2x – 4y ]
- For the following quadratic equation, determine the nature of the roots. The equation is (x^2 + 10x + 25 = 0).
- For what values of \(x\) is \(x^2 – 36 = 5x\) true?
- For what values of \(x\) is \(x^2 + 2x = 24\) true?
- Fully simplify: ( (-2 x^{3} y^{3})^{5} = -32 x^{15} y^{15} ).
- Fully simplify. [ (2x^3 y^5)^5 = 2^5 x^{15} y^{25} = 32 x^{15} y^{25} ]
- graph of ( f(x) = x^{2} – 7 lvert x – 2 rvert cdot lvert x – 3 rvert + 5. )
- Graph the inequality on the axes below. (y ;gt; -x – 3).
- Graph the inequality. (y < x – 3)
- Graph this function: ( y = x + 2 ). Click to select points on the graph.
- Graph this inequality: (x – 3y > 6).
- How to find the y-intercept in \(y = mx + c\).
- How to find the y-intercept with slope and a point.
- How to find the y-intercept with two points.
- How to reflect a point over \(y = x\).
- How to reflect over the line \(y = x\).
- Identify the graph of \(y = \ln(x) + 1\).
- Identify the solution set of \(3 \ln(4) = 2 \ln(x)\).
- If \(3x – y = 12\), what is the value of \(\frac{8^x}{2^y}\)?
- If \(f(x) = 3x + 2\) and \(g(x) = x^2 – x\), find the value.
- If \(f(x)=2x^2+1\), what is \(f(x)\) when \(x=3\)? Choices: 1, 7, 13, 19.
- If \(x – 12y = -210\) and \(x – 6y = 90\), then \(x = 390\).
- If \(x + y + xy = 1\) with nonzero real numbers, find \(xy + \frac{1}{x} – \frac{y}{x} – \frac{x}{y}\).
- If \(xy = -6\) and \(x^3 – x = y^3 – y\), find \(x^2 + y^2\).
- In the xy-plane, the slope of the line \(y = m x – 4\).
- Is \(f(x)=e\) convergent or divergent?
- LMFDB elliptic curve \(y^2 + y = x^3 – x^2 – 10x – 20\).
- Maximum of \(13 \sqrt{x^2 – x^4} + 9 \sqrt{x^2 + x^4}\).
- Minimum of \(8^{x} + 8^{-x} – 4\left(4^{x} + 4^{-x}\right)\).
- Minimum value of \( (x+1)(x+2)(x+3)(x+4) \).
- Multiply and simplify: \( (2x – 3)(3x^2 + x – 4) \).
- Negative plus a negative equals what? \( (-a) + (-b) = -(a+b) \).
- Negative plus a positive equals.
- Negative plus negative equals positive.
- One half to the power of 6 is ( left(tfrac{1}{2}right)^6 = tfrac{1}{64} ).
- One root of \(f(x)=2x^3+9x^2+7x-6\) is \(-3\). How to find the factors of the polynomial.
- One third plus one third equals \( \frac{1}{3} + \frac{1}{3} = \frac{2}{3} \).
- Plot the given parabola on the axes. Plot the roots, the vertex, and two other points. Equation: y=x^2+2x-3
- Quadratic function y-intercept formula.
- Rewrite the following polynomial in standard form: (x – 9 + frac{x^{2}}{2}).
- Select all the solutions of the equation (2log x = log(5x – 4)).
- Simplify \( \frac{x^3 + x^2 + x + 2}{x^2 – 1} \).
- Simplify the expression \( (2x – 9)(x + 6) \).
- Simplify the expression \(2(10) + 2(x – 4)\).
- Simplify the expression: \(7x^2 + 3 – 5(x^2 – 4)\).
- Solve \( \arcsin\left(\frac{x}{3} + 5\right) = \arcsin\left(2x + 30\right) \).
- Solve \(x^2 – 6x = 16\) by completing the square.
- Solve \(y^2 = x^6 + 2x^3 + 4x^2 + 4x + 1\).
- Solve equation: \( \frac{6.9}{x} = \frac{3}{2} \).
- Solve for (x). [x^2 + 10x + 25 = 0]
- Solve for all values of (x) by factoring. [ x^{2} + 5x + 1 = 5x + 2. ]
- Solve for all values of (x) by factoring. Start with the equation (x^2 – 5x – 1 = -1).
- Solve for y: \(3.4 + 5.1(y + 8) = 85\).
- Solve the equation \(1.25x – 0.35x = 585\) for \(x\).
- Solve the equation \(25x^2 = 16\) for \(x\).
- Solve the equation \(3x^2 + 4x + 2 = -x\).
- Solve the equation \(x^2 – x + 5 = 5\).
- Solve the equation \(x^2 + 5 = -5x – 1\).
- Solve the equation: \( -3(x – 14) + 9x = 6x + 42 \).
- Solve the equation: \( -3x + 1 + 10x = x + 4 \).
- Solve the quadratic equation. (x^2 + 9 = 7x.)
- Solve this system of equations: \(y = x – 4\) and \(y = 6x – 10\).
- Solve: \(62x – 3 = 6 – 2x + 1\). Choices: \(x = -1, x = 0, x = 1, x = 4\).
- Solve. (2(2x-4)=4)
- The function g is defined by \(g(x)=x(x-2)(x+6)^2\).
- The graph of \(y = 5x^2\) is the graph of \(y = x^2\).
- The graph of which function has an axis of symmetry at (x = frac{1}{4})?
- The graph shows the equation \(y = x^2 + 4x + 3\).
- The initial value problem is (x'(t) = (t-1) x^2(t)), (x(0) = -8). Find (x(1)).
- The inverse of the function (f(x)=2x+4) is (f^{-1}(x)=frac{x-4}{2}).
- The pair of linear equations \(y=0\) and \(y=-7\) has.
- The parabola \(y=3(x-5)^2\) has ____ x-intercept(s).
- The value of ( -6 times frac{2}{3} ) is ( -4 ).
- The vertex of the graph of \(y = (x – 1)^2 – 5\) is.
- Three-quarters plus three-quarters equals how many cups? \( \frac{3}{4} + \frac{3}{4} = \frac{6}{4} = \frac{3}{2} = 1\tfrac{1}{2} \) cups.
- To find the x-intercept of the line \(5x + 18y = 4\), set \(y = 0\)
- Use synthetic division to divide (3x^3 – 11x^2 + 16x – 30) by (x – 3).
[
begin{array}{r|rrrr}
3 & 3 & -11 & 16 & -30 \
& & 9 & -2 & 10 \
hline
& 3 & -2 & 10 & 0 \
end{array}
]
The quotient is (3x^2 – 2x + 10), and the remainder is (0).
- Use the distributive property to expand ( -3(8x-4)).
- Use the distributive property to expand \(3(x + 8)\).
- Use the graph of the function (f(x)) to complete the following: identify the (x)- and (y)-intercepts.
- Vertex of \(g(x) = 8x^2 – 48x + 65\)
- What are the domain and range of \(f(x) = 2\left(3^{x}\right)\)?
- What are the domain and range of \(f(x)=2|x-4|\)?
- What are the roots of \(f(x) = x^2 – 48\)?
- What does \(y = -x\) mean in reflections?
- What does \(y = x\) mean in reflections?
- What does it mean to reflect over \(y = x\)?
- What does the \(b\) represent in \(y = m x + b\)?
- What does the y-intercept represent?
- What is \( \frac{1}{2} \times \frac{1}{2} \times \frac{1}{2} \times \frac{1}{2} \times \frac{1}{2} \times \frac{1}{2} \)?
- What is \( \frac{3}{4} \times \frac{1}{2} \) as a fraction?
- What is \( \frac{3}{8} \times \frac{2}{5} \) as a fraction?
- What is \(3x^3 – 11x^2 – 26x + 30\) divided by \(x – 5\)?
- What is a solution to \( (x + 6)(x + 2) = 60 \)?
- What is the factored form of \(2x^3 + 4x^2 – x\)?
- What is the factored form of \(3x + 24y\)?
- What is the factored form of \(8x^2+12x\)?
- What is the inverse of the function \(f(x)=2x+1\)?
- What is the quotient of (,x^{3} + 3 x^{2} – 4 x – 12,) divided by (,x^{2} + 5 x + 6,)?
- What is the quotient of \(x^2 + 7x + 12\) and \(x + 4\)?
- What is the slope in the equation \(y = 2x + 3\)?
- What is the slope of a line that is parallel to the line \(y = x + 2\)?
- What is the slope of the function (y = -2x – 3)?
- What is the solution of the equation \(x^2 = 64\)?
- What is the solution to \(2\log_5(x)=\log_5(4)\)?
- What is the solution to \(4\log_4(x+8)=4^2\)?
- What is the sum of \( \frac{7x}{x^2 – 4} \) and \( \frac{2}{x + 2} \)?
- What is the true solution to \(2 \ln(4x) = 2 \ln(8)\)?
- What is the value of \(x\) if \(\frac{2}{5}x – 17 = 15\)?
- What is the vertex of \(f(x) = |x + 8| – 3\)?
- What is the x-intercept in \(y = mx + b\)?
- What is the x-intercept of the line (6x – 3y = 24)? The x-intercept is (4).
- What is the y-intercept of \(3x + y = 12\)?
- What is the y-intercept of \(f(x) = 3x + 2\)?
- What is the y-intercept of \(f(x) = 3x + 2\)?
- What is true of the function \(g(x) = -2x^2 + 5\)?
- What number minus negative one equals four? \(x – (-1) = 4\)
- Which are the roots of \(x^2 + 10x + 25 = 0\)?
- Which equation is the inverse of \(y = 16x^2 + 1\)?
- Which equation shows the quadratic formula used correctly to solve \(7x^2 = 9 + x\) for \(x\)?
- Which expression is a factor of \(x^2+7x-30\)?
- Which expression is equivalent to \(\log_3(x + 4)\)?
- Which expression is equivalent to \(10x^2y + 25x^2\)? Choices: \(5x^2(2y + 5)\), \(5x^2y(5 + 20y)\), \(10xy(x + 15y)\), \(10x^2(y + 25)\).
- Which expression is equivalent to \(6(x + 2y) + 3 + 4y + 5\)?
- Which function has real zeros at \(x = 3\) and \(x = 7\)?
- Which function has zeros at \(x = -2\) and \(x = 5\)?
- Which graph represents \(y – 1 = 2(x – 2)\)?
- Which graph represents \(y – 1 = 2(x – 4)\)?
- which graph represents the function ( f(x) = 2|x| )?
- Which graph represents the function (f(x) = -lvert x + 3 rvert)?
- Which graph represents the function (f(x) = |x + 3|)?
- Which graph represents the function (h(x) = 5.5lvert xrvert)?
- Which graph represents the function (p(x) = |x – 1|)?
- Which graph represents the function \(f(x) = (x – 5)^2 + 3\)?
- Which graph represents the function \(f(x) = (x-5)^2 + 3\)?
- Which graph represents the function \(f(x) = |x|\)?
- Which graph represents the function \(y = x – 2\)?
- Which graph represents the function f(x) = 4|x|?
- Which graph shows the axis of symmetry for the function \(f(x) = (x-2)^2 + 1\)?
- Which graph shows the solution to the system of linear inequalities \(x + 3y > 6\) and \(y \geq 2x + 4\)?
- Which is a solution to \( (x – 2)(x + 10) = 13 \)?
- Which is the graph of \(f(x) = 2(3^x)\)?
- Which is the graph of \(f(x) = x^2 – 2x + 3\)?
- Which is the graph of \(f(x)=-(x+3)(x+1)\)?
- Which is the graph of \(f(x)=100(0.7)^x\)?
- Which is the graph of \(g(x)=\left(\frac{1}{2}\right)^{x+3}-4\)?
- Which is the graph of \(y – 3 = x + 6\)?
- Which is the graph of \(y = \cos(x) + 3\)?
- Which is the graph of the linear inequality \(y \geq -x – 3\)?
- Write the quadratic equation in standard form: (5x^2 + 5x = 1).
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