| Topic | Problem | Solution |
|---|---|---|
| None | 44. The price of milk is increasing by 9 cents pe… | Step 1: Calculate the total increase in price: 9 cents * 6 weeks = \(54\) cents |
| None | f. $\left(\frac{1}{4^{x}}\right)^{3}=4$ | The given equation is \(\left(\frac{1}{4^{x}}\right)^{3}=4\). To solve for x, we first need to simp… |
| None | Jing borrowed $\$ 22000$ for a second-hand vehicl… | Given that Jing borrowed $22000 for a second-hand vehicle and she pays $450 per month for 6 years o… |
| None | Use the method of long division and synthetic div… | We are given two polynomials: \(x^{3}-3 x^{2}-4 x+12\) and \(8 x^{4}-64 x=0\). |
| None | List three mathematical characteristics of a quad… | One characteristic of a quadratic function is its vertex, which is the highest or lowest point on t… |
| None | 8. Using your knowledge of transformations and in… | Swap x and y in the function g(x) = 13*sqrt(-x - 20) - 41 to find the inverse function. This gives … |
| None | 10. The cost, in thousand of dollars, of making $… | The cost function is given by \(C(x)=-12x-75\) and the revenue function is given by \(R(x)=-6x^{2}+… |
| None | Twenty-eight months ago, Rajeesh purchased a used… | Given that Rajeesh purchased a used vehicle and maxed out his credit card at $25000 twenty-eight mo… |
| None | Drag each label to the correct location on the im… | Analyze the coefficients of the variables in each equation and compare them. |
| None | $(5 x-17)=(-x+7)$ Then $x=$ | Add x to both sides: \(5x - 17 + x = -x + 7 + x\) which simplifies to \(6x - 17 = 7\) |
| None | Select the correct answer from the drop-down menu… | Simplify each equation: |
| None | Thomas measured the height, $x$, of each of the s… | First, we need to find the midpoint of each interval. The midpoints are 125 cm, 135 cm, and 145 cm … |
| None | What is the midpoint of this interval? \[ 50<x \l… | The midpoint of an interval is calculated by adding the two endpoints and dividing by 2. In this ca… |
| None | Divide. 1) $\left(m^{2}-7 m-11\right) \div(m-8)$ | Perform polynomial division: \(\frac{m^2 - 7m - 11}{m - 8}\) |
| None | B Please calculate the base selling price and sho… | The standard food cost of a steak dinner is \$4.50. |
| None | 19. Find the equation of a circle whose center is… | Given center (0,0) and radius 4, the equation of the circle is $(x-0)^{2}+(y-0)^{2}=4^{2}$ |
| None | Sets $A$ and $B$ are subsets of the universal set… | Find the union of sets A and B, denoted as \(A \cup B\). This is the set of elements that are in A … |
| None | 18. Find the radius of the circle whose equation … | Given the equation of a circle: \((x+3)^2 + (y-7)^2 = 289\) |
| None | $-y+9 z-16 y-25 z$ | Combine like terms: \(-y + 9z - 16y - 25z = -1y - 16y + 9z - 25z\) |
| None | $\sin ^{-1} x=\tan ^{-1}\left(\frac{x}{\sqrt{1-x^… | Given the trigonometric equation \(\sin ^{-1} x=\tan ^{-1}\left(\frac{x}{\sqrt{1-x^{3}}}\right)\). |
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