Complete the two column proof

John’s checking account had a balance of $126.79. He wrote a check for $75.10. Which expression represents one way to calculate

Svetlanka [38]

Answer:

D. $126.79 + (-$75.10)

Step-by-step explanation:

6 0

3 years ago

The boundary lines for the system of inequalities is given in the graph.

diamong [38]

Answer:

C)

region C

Step-by-step explanation:

We have to use what is called the zero-interval test [test point] in order to figure out which portion of the graph these inequalities share:

$\displaystyle y ≤ -x + 2$

0 ≤ 2 ☑ [We shade the portion of the graph that CONTAIN THE ORIGIN, which is the bottom portion.]

$\displaystyle y ≥ 2x - 3$

0 ≥ −3 ☑ [We shade the portion of the graph that CONTAINS THE ORIGIN, which is the left side.]

So, now that we got that all cleared up, we can tell that both graphs share a region where the ORIGIN IS VISIBLE. Therefore region C matches the above inequalities.

I am joyous to assist you anytime.

4 0

4 years ago

Read 2 more answers

What is the vertex form of the quadratic equation represented on the table?

sergeinik [125]

Check the picture below, so the parabola looks more or less like so, hmmm with a vertex at (-1 , -4), so, using those values from the table

$~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{"a"~is~negative}{op ens~\cap}\qquad \stackrel{"a"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}$

$\stackrel{vertex}{\stackrel{h}{-1}~~,~~\stackrel{k}{-4}}\qquad \implies y=a[x-(-1)]^2-4\implies y=a(x+1)^2-4 \\\\\\ \textit{we also know that} \begin{cases} x=2\\ y=14 \end{cases}\implies 14=a(2+1)^2-4\implies 18=9a \\\\\\ \cfrac{18}{9}=a\implies 2=a~\hspace{10em}\boxed{y=2(x+1)^2-4}$

7 0

2 years ago

Drag the expressions into the boxes to correctly complete the table.

Maslowich

Answer:

Polynomial

$x^4 +3x^3 -5x^2 -7x +20\\\\x^3 -2x^2 +x -12\\\\x^2 + 3x^5 -6x +12x^3$

not a polynomial

$4\sqrt[3]{x} -\sqrt{x} -20\\\\x^{-3}-x}^{-2}-6x^{-1}+8\\\\\frac{5}{x^3} -\frac{1}{x^2} +\frac{8}{x} -40\\\\$

3 0

3 years ago

What is the surface area of a cylinder with a diameter of 8 centimeters and a height of 12 centimeters?

Lostsunrise [7]

The formula for this is $A=2 \pi rh+2 \pi r^{2}$ . If the diameter is 8 the radius is 4, so filling in accordingly we have $A=2 \pi (4)(12)+2 \pi (16)$ and $A=96 \pi +32 \pi$ which is $A=128 \pi$ and when you multiply in 3.14 you get that A = 401.92 or B above.

8 0

4 years ago