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Fantom [35]
3 years ago
10

Given the system of equations, what is the y-coordinate of the solution?

Mathematics
2 answers:
dolphi86 [110]3 years ago
7 0
5(5-3/2y) - 4y = 7

Simplify:

25 - 15/2y - 4y = 7
-15/2 y - 8/2 y = 7-25 
23/2 y = 18
y = 18 * 2/23 = 36/23

bulgar [2K]3 years ago
6 0
If you plug in the second equation (x=5-3/2y) into the first, you get:

5(5-3/2y) - 4y = 7

Simplify:

25 - 15/2y - 4y = 7
-15/2 y - 8/2 y = 7-25 
23/2 y = 18
y = 18 * 2/23 = 36/23

answer B!
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3 years ago
This table represents the number of inches, n, a plant grows after m, months in a new pot.
Yuki888 [10]

Answer: Slope = 5/4

y-intercept = 2

Step-by-step explanation:

We have the table:

Months, m            Plant height in inches, n

0                           2

2                           4.5

4                            7

6                            9.5

We want a linear relationship to represent this table.

A linear relationship can be written as:

y = a*x + b

where a is the slope and b is the y-axis intercept.

For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:

a = (y2 - y1)/(x2 - x1).

In this case we can select any pair of points, for example, i will choose the first two:

(0, 2) and (2, 4.5)

Then the slope is:

a = (4.5 - 2)/(2 - 0) = (2.5/2) = 1.25 = 5/4

Then our line can be written as:

y = (5/4)*x + b

To find the value of b, we can replace the values of any of the points in the equation, for example, i will use the point (0, 2) or x = 0, y = 2.

2 = (5/4)*0 + b

2 = b

Then our equation is:

y = (5/4)*x + 2.

Slope = 5/4

y-intercept = 2

8 0
3 years ago
Gary used candle molds, as shown, to make candles that were perfect cylinders and spheres:What is the approximate difference in
Nikolay [14]
The correct answer is 16.7

Hope this helped :)
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