| Topic | Problem | Solution |
|---|---|---|
| None | What is the image of $(-12,8)$ after a dilation b… | Given the point (-12, 8) and a scale factor of 0.25, we can find the image of the point after a dil… |
| None | 1. Find the degree of the polynomial $4 x^{3} y-4… | Find the degree of the polynomial \(4 x^{3} y-4 x y+2\). |
| None | Assignment Score: $42.9 \%$ Resources Check Answe… | Let's denote the series as \(S\), so \(S = \sum_{n=2}^{\infty} \frac{x^{3n+2}}{\ln(n)}\). |
| None | Solve for $x$. \[ \ln (x-2)-\ln 5=1 \] Do not rou… | Given the equation \(\ln (x-2)-\ln 5=1\) |
| None | (a) Find the rational zeros and then the other ze… | First, we need to find the rational roots of the polynomial function $f(x)=3 x^{3}+5 x^{2}+75 x+125… |
| None | \[ f(z)=4-3 z^{2} ; \quad z=-2, z=0 \] (a) Determ… | Given the function \(f(z) = 4 - 3z^2\) and the values \(z = -2\) and \(z = 0\). |
| None | Solve the equation for $M$. \[ f=-\frac{G M n}{r^… | Given the equation \(f=-\frac{G M n}{r^{2}}\) |
| None | Lines, Functions, Systems Graphing a function of … | To graph the function \(g(x)=2x^{2}\), we need to plot the points on the graph. We can choose five … |
| None | Write the equation in exponential form. \[ \log \… | Write the equation in exponential form. The equation given is \(\log \left(\frac{1}{100,000}\right)… |
| None | Word problem with decimal subtraction and divisio… | Subtract the down payment from the total cost of the refrigerator to find out how much Tom still ne… |
| None | Subtract. \[ \frac{3}{x^{2}-3 x+2}-\frac{2}{x^{2}… | The problem is asking to subtract two fractions. To subtract fractions, we need to have a common de… |
| None | In $\triangle \mathrm{MNO}, \mathrm{m} \angle M=(… | Given that in triangle MNO, m∠M = (5x - 14)°, m∠N = (4x + 16)°, and m∠O = (4x - 17)°. |
| None | Graph the parabola and give its vertex, axis of s… | The given equation is in the form \(y=ax^2+bx+c\), where \(a=1\), \(b=-7\), and \(c=10\). |
| None | Assume a population of 3,5 , and 10 . Assume that… | The population in this case is \([3, 5, 10]\). |
| None | Consider the functions $f(x)=2 x-8$ and $g(x)=\sq… | \(f \circ g(x) = f(g(x)) = 2g(x) - 8\) |
| None | If $(-3,1)$ is a point on the graph of $y=f(x)$, … | The function \(y=f(x)\) is being scaled by a factor of 8 to get \(y=8f(x)\). This means that the y-… |
| None | \[ 5 x^{2}-6 x-8 \] First, choose a form with ap… | The given expression is a quadratic equation. To factorize it, we need to find two numbers such tha… |
| None | A self-catalytic chemical reaction results in the… | Rewrite the function in standard form: \(V=16.8x - 1.2x^2\) |
| None | The mean is the "most sensitive" average because … | First, we need to calculate the mean, median, mode, and midrange for the given set of numbers $2,4,… |
| None | Express the equation in logarithmic form: (a) $e^… | \(e^{x}=4\) can be rewritten in logarithmic form as \(\ln 4 = x\). So, \(A=4\) and \(B=x\). |
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