| Topic | Problem | Solution |
|---|---|---|
| None | Find the slope of the line passing through the pa… | Given two points (-5,1) and (3,4), we can find the slope of the line passing through these points u… |
| None | Solve. $\frac{4 r+4}{8}=\frac{2 r-6}{2}$ The solu… | Simplify the equation $ rac{4 r+4}{8}= rac{2 r-6}{2}$ to $r/2 + 1/2 = r - 3$ |
| None | State the name of the property illustrated. \[ \s… | State the name of the property illustrated: \(\sqrt{4}+(-8)=(-8)+\sqrt{4}\). |
| None | $\frac{4 x}{x^{2}+2 x-8}-\frac{x}{x^{2}}=\frac{1}… | Simplify the given equation by factoring the denominators of the fractions on the left side. The de… |
| None | Sout $(a, b, c) \in \mathbb{R}^{3}$ tel que $(a-b… | Factorize the numerator and denominator of each term in the given expression A = a**3/((a - b)*(a -… |
| None | g $\frac{1}{2} \log _{2} x=\frac{1}{3} \log _{2} … | Given the logarithmic equation \(g \frac{1}{2} \log _{2} x=\frac{1}{3} \log _{2} y-1\). |
| None | Soit $P=a+b+c+d$, et $S=a-b-c+d$. \[ Q=a+b-c-d, \… | Let's denote $P=a+b+c+d$, $Q=a+b-c-d$, $R=a-b+c-d$, and $S=a-b-c+d$. |
| None | Yochanan walked from home to the bus stop at an a… | Substitute the second equation into the first: 5(1.5-y)+60y=35 |
| None | It is commonly believed that the mean body temper… | The null hypothesis is a statement of no effect or no difference. In this case, the null hypothesis… |
| None | If your null and alternative hypothesis are: \[ \… | The null hypothesis (H0) is that the mean (μ) is equal to 81. The alternative hypothesis (H1) is th… |
| None | Robert needs to cut four shelves from a board tha… | Let first shelf length be x cm. |
| None | A construction crew is lengthening a road. The ro… | Let $L$ represent the total length of the road (in miles), and let $D$ represent the number of days… |
| None | The equation of a circle is given below. Identify… | The given equation is not in the standard form of a circle equation. The standard form of a circle … |
| None | The function $f$ is defined as follows. \[ f(x)=\… | The function $f$ is defined as follows: \[f(x)=\frac{x^{2}+11 x+10}{x^{2}-64}\] |
| None | $\int\left(\sqrt{x}-\frac{1}{\sqrt{x}}\right) d x$ | Given the integral function \(\int\left(\sqrt{x}-\frac{1}{\sqrt{x}}\right) dx\) |
| None | $3 x^{3}-7 x^{2}+27 x-63=0$ | We are given the cubic equation \(3 x^{3}-7 x^{2}+27 x-63=0\). |
| None | If $h(x)=\sqrt{3+2 f(x)}$, where $f(4)=3$ and $f^… | We are given the function $h(x)=\sqrt{3+2 f(x)}$, where $f(4)=3$ and $f^{\prime}(4)=2$. We are aske… |
| None | Use implicit differentiation to find an equation … | First, we need to find the derivative of the given equation. The derivative of \(\frac{x^{2}}{2}+\f… |
| None | Find $D_{x} y$. \[ y=(\sec x+\tan x)^{-3} \] $-3(… | Given the function \(y=(\sec x+\tan x)^{-3}\), we are asked to find its derivative \(D_{x} y\). |
| None | A student government organization is selling Chri… | \(5x+3y=420\) |
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