Solve the system

$4x+2y=46$

$20x-3y=9$

Noe Wade
2022-04-27
Answered

Solve the system

$4x+2y=46$

$20x-3y=9$

You can still ask an expert for help

Litzy Fuentes

Answered 2022-04-28
Author has **22** answers

Multiply equation (1) by 5

Subtract equation (3) and (2)

Then,

The answer is

asked 2021-12-30

a) What are the x intercepts?

b) What is the standart form of the equation?

asked 2022-05-17

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

asked 2022-07-15

Convex polyhedron $P$ is a subset of ${\mathbb{R}}^{n}$ that satisfies system of linear inequalities

$\begin{array}{rl}{a}_{11}{x}_{1}+\cdots +{a}_{1n}{x}_{n}& {\sim}_{1}\phantom{\rule{thinmathspace}{0ex}}{c}_{1}\\ & \vdots \\ {a}_{p1}{x}_{1}+\cdots +{a}_{pn}{x}_{n}& {\sim}_{p}\phantom{\rule{thinmathspace}{0ex}}{c}_{p},\end{array}$

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?

$\begin{array}{rl}{a}_{11}{x}_{1}+\cdots +{a}_{1n}{x}_{n}& {\sim}_{1}\phantom{\rule{thinmathspace}{0ex}}{c}_{1}\\ & \vdots \\ {a}_{p1}{x}_{1}+\cdots +{a}_{pn}{x}_{n}& {\sim}_{p}\phantom{\rule{thinmathspace}{0ex}}{c}_{p},\end{array}$

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?

asked 2020-11-07

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?

asked 2022-01-29

Exponential Growth and Decay

Exponential growth and decay problems follow the model given by the equation$A\left(t\right)=P{e}^{rt}$

-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$A\left(0\right)=P{e}^{0\times t}=P{e}^{0}=P$

-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

$A\left(t\right)=900{e}^{0.0534}$

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.)

Exponential growth and decay problems follow the model given by the equation

-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

-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

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.)

asked 2022-03-23

Solve this inequality

$\frac{1}{{x}^{2}-14x+40}\le 0$

asked 2021-09-14

Find the distance between the points (6, −1) and (-18, 6). Enter the exact value of the answer.

In case of radicals, use$\sqrt{()}$ . For example, enter $3\sqrt{5}$ for $3\sqrt{5}$ .

In case of radicals, use