The process of evaluating an expression using specified values involves replacing the variables in the expression with the given values. To illustrate, consider you've been given the expression 2x + 3y and the values for x and y are 1 and 2 respectively. What you would do is substitute these values into the expression, resulting in 2*1 + 3*2. This further simplifies to give us 8.
| Topic | Problem | Solution |
|---|---|---|
| None | $A=p\left(1+\frac{r}{n}\right)^{n t}$ when $p=200… | We are given a compound interest formula: \(A=p\left(1+\frac{r}{n}\right)^{n t}\), where: |
| None | Given the following functions: \[ \begin{array}{l… | Given the function g(x) = 4^(x+3) |
| None | Use the formula for ${ }_{n} P_{r}$ to evaluate t… | We are given the expression ${ }_{6} P_{3}$ and we are asked to evaluate it. |
| None | Evaluate the following function for the given val… | The function is given as \(f(x)=-\sqrt{-9x-7}\). We are asked to find the value of the function at … |
| None | Given $f(x)=\sqrt[3]{-3 x+6}$ Round your answers … | Given the function \(f(x)=\sqrt[3]{-3 x+6}\). |
| None | One measure of living standards in country $A$ is… | The problem provides us with a formula for living standards in country A: \(L(t)=8+4 e^{0.19 t}\), … |
| None | Suppose that the function $g$ is defined, for all… | Let's find the values of the function g at -3, -1, and 1. |
| None | Cities and companies find that the cost of pollut… | Given the cost function \(C(p)=\frac{40,000}{100-p}\), we are asked to find the cost of removing ce… |
| None | Given $f(x, y)=80 x+50 y-5 x^{2}-4 y^{2}-x y$ Eva… | Given the function \(f(x, y)=80 x+50 y-5 x^{2}-4 y^{2}-x y\) |
| None | Let $f(x)=4 x-1$ and $g(x)=x^{2}+5$ Find $(f \cir… | Let's first find the value of \(g(-3)\). We substitute \(x = -3\) into the function \(g(x) = x^{2} … |
| None | Given that $f(x)=|x|$ and $g(x)=9 x+6$, calculate… | First, we calculate $f(g(x))$ which is $f(9x+6)$. Since $f(x)$ is the absolute value function, we h… |
| None | Given the functions: \[ f(x)=x^{3}-5 x \quad g(x)… | Given the function \(f(x)=x^{3}-5x\), we need to evaluate the function \(f \circ f(x)\) at \(x=2\).… |
| None | $\begin{array}{l}f(x)=\left\{\begin{array}{lc}-x-… | A função f(x) é definida por partes, com diferentes expressões para diferentes intervalos de x. Par… |
| None | Use the piecewise-defined function to find the fo… | Given the piecewise-defined function \(f(x)\) as follows: |
| None | Use common logarithms or natural logarithms and a… | Given the expression \(\log _{18} 16\) |
| None | Use the following approximation \[ \left(1+x^{2}\… | Rewrite \(\left(\frac{16}{17}\right)^{3}\) as \(\left(1-\frac{1}{17}\right)^{3}\), which is in the … |
| None | is and Expressions Question 8, GR.2.8 3 correct P… | Translate the English phrase '20 divided by the number' into a mathematical expression. This can be… |
| None | 3. a) Graph the function $f(x)=-2(x+1)^{2}+3$ b) … | First, we evaluate $f(-3)$ by substituting $-3$ into the function $f(x)=-2(x+1)^{2}+3$. This gives … |
| None | Given that $f(x)=2 x+3$ and $g(x)=x^{2}-3 x-4$, f… | Given that \(f(x)=2 x+3\) and \(g(x)=x^{2}-3 x-4\), we need to find \((g \circ f)(7)\). |