Ask question

Ask question

All categories

3 years ago

10

HELPP!!! PLS ANSWER WITH FULL EXPLANATION AND PLS DO NOT SEND ANY LINKS!If Sara earns $2,400 per month and Jack earns $2,000 per

month, how much more does Jack pay for utilities than Sara?
A $20
B. $80
C. $100
D. $480

2 answers:

viktelen [127]3 years ago

4 0

Here it is! Hope it helps

Kay [80]3 years ago

3 0

I think the answer is C

You might be interested in

Who can help me with this algebra thanks for your help guys.

hjlf

31. +
34. -
To figure out more, just solve the known problem, and then go over what the answer would be to the unknown one until you find the answer that makes it true.

6 0

3 years ago

A toy airplane climbs 30 vertical feet while traveling 50 feet horizontally. A toy helicopter climbs 20 feet while traveling 40

nataly862011 [7]

Answer:

Slope is the change in y over the change in x. The toy airplane would then have a slope of 3/5 and the toy helicopter would have a slope of 1/2. As 3/5 is greater than 1/2, the toy airplane would have a greater slope.

Step-by-step expla\

5 0

3 years ago

Read 2 more answers

In which of the following situations is a sample mean of 55 most likely to be closest to the actual population mean? Please expl

WARRIOR [948]

<span>(2) 100 students sampled and 500 in population

This amount is the closest to the actual population and had more surveyed, this one will be most likely to be the closest to the actual population.</span><span>
</span>

5 0

3 years ago

What is the sum of the geometric sequence -4,24,-144, ... if there are 7 terms?

const2013 [10]

$S_7=-4+24-144+864-5184+31104-186624$
$S_7=-4(1-6+36-216+1296-7776+46656)$
$(-6)S_7=-4(-6+36-216+1296-7776+46656-279936)$
$S_7-(-6)S_7=-4(1+279936)$
$S_7=-\dfrac47\times279937=-159964$

4 0

3 years ago

The x- intercepts of a parabola are (0,-6) and (0,4). The parabola crosses the y- axis at -120. Lucas said that an equation for

astraxan [27]

Given:

The x- intercepts of a parabola are (0,-6) and (0,4).

The parabola crosses the y- axis at -120.

Lucas said that an equation for the parabola is $y=5x^2+10x-120$ and that the coordinates of the vertex are (-1, -125).

To find:

Whether Lucas is correct or not.

Solution:

The x- intercepts of a parabola are (0,-6) and (0,4). It means (x+6) and (x-4) are the factors of the equation of the parabola.

$y=a(x+6)(x-4)$ ...(i)

The parabola crosses the y- axis at -120. It means the equation of the parabola must be true for (0,-120).

$-120=a(0+6)(0-4)$

$-120=a(6)(-4)$

$-120=-24a$

Divide both sides by -24.

$\dfrac{-120}{-24}=a$

$5=a$

Substituting $a=5$ in (i), we get

$y=5(x+6)(x-4)$

$y=5(x^2+6x-4x-24)$

$y=5(x^2+2x-24)$

$y=5x^2+10x-120$

So, the equation of the parabola is $y=5x^2+10x-120$ .

The vertex of a parabola $f(x)=ax^2+bx+c$ is:

$Vertex=\left(-\dfrac{b}{2a},f(-\dfrac{b}{2a})\right)$

In the equation of the parabola, $a=5,b=10,c=-120$ .

$-\dfrac{b}{2a}=-\dfrac{10}{2(5)}$

$-\dfrac{b}{2a}=-\dfrac{10}{10}$

$-\dfrac{b}{2a}=-1$

Putting $x=-1$ in the equation of the parabola, we get

$y=5(-1)^2+10(-1)-120$

$y=5-10-120$

$y=-125$

So, the vertex of the parabola is at point (-1,-125).

Therefore, Lucas is correct.

5 0

3 years ago