Missy Lee

2022-03-25

Graph the solution set of each given system of linear inequalities.

x < 1

2x + y ≤ 4

Vasquez

Expert2022-04-28Added 597 answers

$x<1$

$2x+y\le 4$

Graph $x<1$.

$x<1$

Graph $2x+y\le 4$.

Write in $y=mx+b$ form.

Subtract $2x$ from both sides of the inequality.

$y\le 4-2x$

Rearrange terms.

$y\le -2x+4$

Use the slope-intercept form to find the slope and $y$-intercept.

The slope-intercept form is $y=mx+b$, where $m$ is the slope and $b$ is the $y$-intercept.

$y=mx+b$

Find the values of $m$ and $b$ using the form $y=mx+b$.

$m=-2$

$b=4$

The slope of the line is the value of $m$, and the $y$-intercept is the value of $b$.

Slope: $-2$

$y$-intercept: $(0,4)$

Graph a solid line, then shade the area below the boundary line since $y$ is less than $-2x+4$.

$y\le -2x+4$

Plot each graph on the same coordinate system.

$x<1$

$2x+y\le 4$

Find the volume V of the described solid S

A cap of a sphere with radius r and height h.

V=??

Whether each of these functions is a bijection from R to R.

a) $f(x)=-3x+4$

b) $f\left(x\right)=-3{x}^{2}+7$

c) $f(x)=\frac{x+1}{x+2}$

?

$d)f\left(x\right)={x}^{5}+1$In how many different orders can five runners finish a race if no ties are allowed???

State which of the following are linear functions?

a.$f(x)=3$

b.$g(x)=5-2x$

c.$h\left(x\right)=\frac{2}{x}+3$

d.$t(x)=5(x-2)$ Three ounces of cinnamon costs $2.40. If there are 16 ounces in 1 pound, how much does cinnamon cost per pound?

A square is also a

A)Rhombus;

B)Parallelogram;

C)Kite;

D)none of theseWhat is the order of the numbers from least to greatest.

$A=1.5\times {10}^{3}$,

$B=1.4\times {10}^{-1}$,

$C=2\times {10}^{3}$,

$D=1.4\times {10}^{-2}$Write the numerical value of $1.75\times {10}^{-3}$

Solve for y. 2y - 3 = 9

A)5;

B)4;

C)6;

D)3How to graph $y=\frac{1}{2}x-1$?

How to graph $y=2x+1$ using a table?

simplify $\sqrt{257}$

How to find the vertex of the parabola by completing the square ${x}^{2}-6x+8=y$?

There are 60 minutes in an hour. How many minutes are there in a day (24 hours)?

Write 18 thousand in scientific notation.