Solve the system 4x+2y=46 20x-3y=9

${\displaystyle y=2(x-6)(x+1)}$
a) What are the x intercepts?
b) What is the standart form of the equation?

Calculate all the values of x such that $$6x^2+12x-288=0$$.

Convex polyhedron $P$ is a subset of ${\mathbb{R}}^n$ that satisfies system of linear inequalities
$\begin{array}{rl}{a}_{11}{x}_1+\cdots +a_{1n}{x}_n& {\sim }_1{c}_1\\ & ⋮\\ a_{p1}{x}_1+\cdots +a_{pn}{x}_n& {\sim }_p{c}_p,\end{array}$
where ${\sim }_i\in \{\le ,\ge \}$. It can be alternatively represented by two finite sets of generators $V,W\subseteq {\mathbb{R}}^n$:
$P=\text{conv}(V)+\text{cone}(W),$
where conv(V) denotes all convex combinations of points in V and cone(W) all nonnegative linear combinations of points in W.
Now, what if we allow ${\sim }_i$ to be from $\{\ge ,>,\le ,<\}$. Is there some similar representation in terms of generating points for such sets?

The Washington Monument is 555 ft tall. If you were to draw the monument on paper with a scale 1 in.: 100 ft, how tall would the structure be in your drawing?

Exponential Growth and Decay
Exponential growth and decay problems follow the model given by the equation ${\displaystyle A\left(t\right)=P{e}^{rt}}$
-The model is a function of time t
-A(t) is the amount we have ater time t
-PIs the initial amount, because for t=0, notice how ${\displaystyle A\left(0\right)=P{e}^{0\times t}=P{e}^0=P}$
-Tis the growth or decay rate. It is positive for growth and negative for decay
Growth and decay problems can deal with money (interest compounded continuously), bacteria growth, radioactive decay. population growth etc.
So A(t) can represent any of these depending on the problem.
Practice
The growth of a certain bactenia population can be modeled by the function
${\displaystyle A\left(t\right)=900e^{0.0534}}$
where A(t) is the number of bacteria and t represents the time in minutes.
What is the initial number of bacteria? (round to the nearest whole number of bacteria.)

Solve this inequality
${\displaystyle \frac{1}{x^2-14x+40}\le 0}$

Find the distance between the points (6, −1) and (-18, 6). Enter the exact value of the answer.
In case of radicals, use ${\displaystyle \sqrt{()}}$. For example, enter ${\displaystyle 3\sqrt{5}}$ for ${\displaystyle 3\sqrt{5}}$.