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3 years ago

Y=− 2 x + 7 ; y = 5 x − 7

1 answer:

5 0

Do you need to solve for x?
As the both equal y, they must both equal each other so
-2x+7=5x-7
Add 2x to both sides
7=7x-7
Add 7 to both sides
14=7x
Divide both sides by 7
2=x
X=2

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Maria throws a softball straight up into the air with an initial velocity of 50 ft/sec. The ball leaves her hand when it is exac

Nataly_w [17]

Answer:

The equation that models the situation is $s_{f} = 4+\frac{v_{f}^{2}-2500}{64.348}$ .

Step-by-step explanation:

Let suppose that effects from air friction and Earth's rotation can be neglected, so that the softball can be modelled experiment a free fall, that is, an uniform accelerated motion due to gravity. From we know the initial velocity and position of the position and we can determine the final position of the ball as a function of the final velocity:

$v_{f}^{2} = v_{o}^{2}+2\cdot a \cdot (s_{f}-s_{o})$ (1)

Where:

$s_{o}$ , $s_{f}$ - Initial and final position of the softball, measured in feet.

$a$ - Acceleration, measured in meters per square second.

$v_{o}$ , $v_{f}$ - Initial and final velocities of the softball, measured in feet per second.

If we know that $v_{o} = 50\,\frac{ft}{s}$ , $a = -32.174\,\frac{m}{s^{2}}$ and $s_{o} = 4\,ft$ , then the equation that models the situation is:

$v_{f}^{2} = 2500-64.348\cdot (s_{f}-4)$

Then, we clear the final position of the softball:

$-\frac{v_{f}^{2}-2500}{-64.348} = s_{f}-4$

$s_{f} = 4+\frac{v_{f}^{2}-2500}{64.348}$

The equation that models the situation is $s_{f} = 4+\frac{v_{f}^{2}-2500}{64.348}$ .

8 0

2 years ago

The difference between city hall and the post office is 6 1/2 miles ( six and one half)city hall is 1 1/3 (one and one fourth NO

Norma-Jean [14]

City hall to post office = 6 1/2 miles = represented by f
city hall to library site = 1 1/4 miles = represented by d
library site to post office = unknown. = represented by e

City hall to library site PLUS library site to post office IS EQUAL to city hall to post office

d + e = f

1 1/4 + e = 6 1/2

find e.
e = 6 1/2 - 1 1/4
e = 13/2 - 5/4
e = (13*2)/(2*2) - 5/4
e= 26/4 - 5/4
e = (26-5)/4
e = 21/4
e = 5 1/4 distance from library site to post office.

To check:
d + e = f

1 1/4 + e = 6 1/2
1 1/4 + 5 1/4 = 6 1/2
6 2/4 = 6 1/2
6 1/2 = 6 1/2

6 0

3 years ago

1/3 of the viewers opening rated the movie as goo and very good. 35 people rated it good and 20 people rated it very good. what

mylen [45]

Since a total of 55 people rated it good/very good, we know that 1/3 of the viewers are 55 people. So we can set the equation: 1/3x=55

Now, just multiply both sides by 3 (or divide by 1/3, same thing) and get your answer!

4 0

3 years ago

Can someone please help me with this question

Nataliya [291]

Your answer will be choice A.
a = 15.1, b = 23.5, perimeter = 56.6

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2 years ago

How to put 1+0.9+0.08+0.001 in word form

Svet_ta [14]

1.981: One and nine hundred eighty-one thousandths

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2 years ago