| Topic | Problem | Solution |
|---|---|---|
| None | The inequality $x^{4}-5 x^{2}+4 \geq 0$ can be so… | Rewrite the inequality as \((x^{2}-4)(x^{2}-1) \geq 0\). |
| None | You have 200 feet of fencing to enclose a rectang… | Let the length of the plot be \(l\) and the width be \(w\). We have the equation \(l+2w=200\) becau… |
| None | Writing an Equation in Vertex The parent function… | The parent function of the function $g(x)=(x-h)^{2}+k$ is $f(x)=x^{2}$. The vertex of the function … |
| None | What is the axis of symmetry and vertex for the f… | The function given is $f(x)=3(x-2)^{2}+4$ |
| None | Which best describes the transformation from the … | The transformation of a function can be understood by looking at the changes in the function's equa… |
| None | The supply and demand equations for a clothing pr… | First, we set the supply equation equal to the demand equation to find the equilibrium quantity. Th… |
| None | Question 1 Find the values of the trigonometric f… | Given that \(\cos t = -\frac{3}{5}\) and the terminal point of \(t\) is in quadrant III. |
| None | 4) Jorge takes his friends out for smoothies. He … | 5x + 3 = 23 |
| None | Graph $h(x)=0.5(x+2)^{2}-4$ by following these st… | Identify the values of a, h, and k in the given function $h(x)=0.5(x+2)^{2}-4$. The function is in … |
| None | Quèstion 3 Use an addition or subtraction formula… | Convert the angle from degrees to radians. The Python math library works with radians, so we need t… |
| None | Use an addition or subtraction formula to find th… | Given the angle is 255 degrees, we can express this angle as a difference of two angles whose tange… |
| None | A bottle of liquid laundry detergent priced at $\… | First, we need to calculate the price per load for both the old and new bottle. For the old bottle,… |
| None | Which of the following statements is true? $P: 17… | The problem is asking us to determine the truth value of two statements: P, which states that 17 is… |
| None | 34. Fernand borrowed $\$ 180.00$ for 8 months at … | Given that Fernand borrowed $180.00 for 8 months at an interest rate of 18% per annum, we are to fi… |
| None | Find the sum of the first $\mathrm{n}$ terms of t… | Given the geometric sequence \(\frac{1}{6}, \frac{1}{2}, \frac{3}{2}, \ldots, \frac{81}{2}\), we ca… |
| None | 33. Calculate simple interest paid on each loan. … | Given the principal amount (P), rate of interest (R) and time period (T) for two loans, we are to c… |
| None | Find $a_{1}$ and $r$ for a geometric sequence wit… | Given that the fourth term of the geometric sequence is 24 and the sum of the first four terms is 4… |
| None | 32. Calculate the simple interest earned on each … | The formula for simple interest is \(I = PRT\), where \(I\) is the interest, \(P\) is the principal… |
| None | Let \( x \) equal the price of one smoothie. Comp… | \(5x + \text{tip} = 23\) |
| None | To gauge their fear of going to a dentist, a larg… | Given that the distribution of scores is normal with mean \(\mu=15\) and standard deviation \(\sigm… |
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