Answers
Math
- \( (-x – 10) (x^2 – 2x + 1) \).
- \( (2x – 3)(3x^2 – x + 6) \).
- \( \frac{2}{3} \times \frac{1}{2} \) as a fraction.
- \( \frac{2}{3} \times \frac{1}{2} \) as a fraction.
- \( \text{Positive} + \text{positive} = \text{positive} \)
- \(-10x + 6(-x + 3) = -(6x – 6) – 7x\)
- \(-2x + 5(x – 4) – 3(2x – 3) = 10\).
- \(-2x^3 y^5 (x^3)\).
- \((-3x-4)(x^2+3x-5)\).
- \((-x+2)(x^2+9x-2)\).
- \((4x+5)(x^2-2x+5)\).
- \((x-1)(x^2+3x-5)\).
- \((x-4)(2x^2+5x-3)\)
- \((x+3)(x^2+3x+5)\).
- \(\frac{1}{3} \times \frac{1}{3} \times \frac{1}{3} \times \frac{1}{3}\) in fraction form.
- \(\frac{2 x^4 y^{-4} z^{-3}}{3 x^2 y^{-3} z^4}\).
- \(\frac{2}{3} \times \frac{1}{16}\).
- \(\frac{2}{3} \times \frac{4}{5}\) as a fraction.
- \(\frac{2}{5} \times 4\) as a fraction.
- \(\frac{3 x^{3} y^{-1} z^{-1}}{x^{-4} y^{0} z^{0}}\).
- \(\frac{4}{5} \times 3\) as a fraction.
- \(\frac{4}{5} \times 3\) as a fraction.
- \(\frac{x^3 + x^2 + x + 2}{x^2 – 1}\) long division.
- \(1:x = x:64\). What one number can replace \(x\)?
- \(12 \times \frac{1}{6}\).
- \(2 \times \frac{2}{3}\) as a fraction.
- \(2(2x-4)=5(x-4)\).
- \(2(x^2 – 6) – 8 = 2\)
- \(2(x^2-7)+3=-3\).
- \(7 – 3 + 6 + x\)
- \(8\frac{3}{4} \times 5\frac{5}{8}\) double window envelopes.
- \(a^{2} + b^{2} =\).
- \(a^2 + b^2 = c^2\).
- \(a^2 + b^2 = c\).
- \(f(1+x)+f(1-x)=0\), \(f(-x)=f(x)\), \(2^{x}-1\).
- \(x^2 – 6x = -6x + 4\).
- \(x^2 + 2y^3 – 3x^2 + 1 + 5 – 4 + 3y^3\)
- \(x^2 + y^2 – z^2 = 1\) 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.
- \(y^2 = x^6 + 2x^3 + 4x^2 + 4x + 1\).
- 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 number divided by a negative number equals a negative number: \( (+) \div (-) = (-) \).
- A positive plus a negative equals.
- Curve \(y^2 = x^6 + 2x^3 + 4x^2 + 4x + 1\).
- 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 \(x + 2\).
- Elliptic curve \(y^2 + y = x^3 – x^2 – 10x – 20\).
- 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 \(y = a b^{x}\).
- Factor \(x(x+1)(x-4)+4(x+1)\) meaning / means.
- Find the inverse of the function \(f(x) = 2x – 4\). Replace \(f(x)\) by \(y\): \(y = 2x – 4\). Swap \(x\) and \(y\): \(x = 2y – 4\). Solve for \(y\). Add 4 to both sides: \(x + 4 = 2y\). Divide both sides by 2: \(y = \frac{x + 4}{2}\). Therefore the inverse function is \(f^{-1}(x) = \frac{x + 4}{2}\).
- Find the quotient: \( (5x^4 – 3x^2 + 4) \div (x + 1) \).
- 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 \(y=12x+6\).
- Find the volume of a rectangular prism measuring \( \frac{5}{2} \times \frac{5}{2} \times \frac{5}{2} \).
- Find the x-intercept of the line \(10x + 14y = -18\).
- Find the x-intercept of the line \(12x + 11y = 8\). Set \(y = 0\). Then \(12x = 8\), so \(x = \frac{8}{12} = \frac{2}{3}\). Thus the x-intercept is \(\left(\frac{2}{3}, 0\right)\).
- 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 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 \(y=-\frac{15}{4}x-18\).
- For what values of \(x\) is \(x^2 – 36 = 5x\) true?
- For what values of \(x\) is \(x^2 + 2x = 24\) true?
- How to find the y-intercept in \(y = mx + c\).
- How to find the y-intercept with two points.
- How to reflect over the line \(y = x\).
- Identify the graph of \(y = \ln(x) + 1\).
- 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 \(xy = -6\) 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?
- Minimum value of \( (x+1)(x+2)(x+3)(x+4) \).
- Multiply and simplify: \( (2x – 3)(3x^2 + x – 4) \).
- Negative plus a positive equals.
- 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 \( \frac{1}{3} + \frac{1}{3} = \frac{2}{3} \).
- Set \(y = 0\). Then \(4x + 11(0) = 20\), so \(4x = 20\) and \(x = 5\). Therefore, the x-intercept is \( (5, 0) \).
- 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 \(y^2 = x^6 + 2x^3 + 4x^2 + 4x + 1\).
- Solve equation: \( \frac{6.9}{x} = \frac{3}{2} \).
- 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 \(x^2 + 5 = -5x – 1\). Bring all terms to one side to obtain \(x^2 + 5x + 6 = 0\). Factor the quadratic as \((x + 2)(x + 3) = 0\). Hence \(x = -2\) or \(x = -3\).
- Solve the equation: \( -3(x – 14) + 9x = 6x + 42 \).
- Solve the equation: \( -3x + 1 + 10x = x + 4 \).
- Solve this system of equations: \(y = x – 4\) and \(y = 6x – 10\). Since both expressions equal \(y\), set them equal: \(x – 4 = 6x – 10\). Solve for \(x\): subtract \(x\) from both sides to get \(-4 = 5x – 10\). Add \(10\) to both sides to get \(6 = 5x\). Thus \(x = \frac{6}{5}\). Then substitute back to find \(y\): \(y = x – 4 = \frac{6}{5} – 4 = \frac{6}{5} – \frac{20}{5} = -\frac{14}{5}\). The solution is \( (x,y) = \left(\frac{6}{5}, -\frac{14}{5}\right)\).
- 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 pair of linear equations \(y=0\) and \(y=-7\) has.
- The parabola \(y=3(x-5)^2\) has ____ x-intercept(s).
- The solution to \(4\log_4(x+8)=4^2\) is as follows. Divide both sides by 4 to get \(\log_4(x+8)=4\). Exponentiating base 4 gives \(x+8=4^4\). Since \(4^4=256\), we have \(x=256-8=248\). The domain condition \(x>-8\) is satisfied, so the solution is \(x=248\).
- 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 \(y = 0\). Then \(5x = 4\), so \(x = \frac{4}{5}\). Thus the x-intercept is \(\left(\frac{4}{5}, 0\right)\).
- Use the distributive property to expand \(3(x + 8)\).
- Vertex of \(g(x) = 8x^2 – 48x + 65\) is at \(x = -\dfrac{b}{2a} = -\dfrac{-48}{2\cdot 8} = \dfrac{48}{16} = 3\). Evaluating gives \(g(3) = 8(3)^2 – 48(3) + 65 = 72 – 144 + 65 = -7\). Therefore the vertex is \((3, -7)\).
- 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 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 \(3x^3 – 11x^2 – 26x + 30\) 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 \(x^2 + 7x + 12\) 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 solution of the equation \(x^2 = 64\)?
- What is the solution to \(2\log_5(x)=\log_5(4)\)?
- What is the sum of \( \frac{7x}{x^2 – 4} \) and \( \frac{2}{x + 2} \)?
- What is the vertex of \(f(x) = |x + 8| – 3\)?
- What is the x-intercept in \(y = mx + b\)?
- 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 \(y – 1 = 2(x – 2)\)?
- 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 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 \(y \geq -x – 3\)?