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postnew [5]
3 years ago
7

What value of g makes the equation true? (x+7)(x-4)=x²+gx-28

Mathematics
1 answer:
defon3 years ago
6 0

Answer:

g=3

Step-by-step explanation:

multiply x with x-4 and +7 with x-4 to open the brackets

x^2 - 4x + 7x - 28 = x^2 +gx - 28

x^2 + 3x - 28 = x^2 + gx -28

x^2 - x^2 + 3x -28 + 28 = gx

gx is kept alone on the other side because we have to find value of g

cancel out +x^2 -x^2 and +28 -28

we ll be left with

3x = gx

divide both sides by x

3x/x = gx/x

cancel out x in the numerators with the x in the denominators

3 = g

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2 years ago
What is the equation of the graphed line in point-slope form?
SSSSS [86.1K]
First, we find the slope
(4,0)(0,-3)
slope = (-3 - 0) / (0 - 4) = -3/-4 = 3/4

there can be 3 possible answers for this..
y - y1 = m(x - x1)
slope(m) = 3/4
using points (4,0)...x1 = 4 and y1 = 0
now we sub
y - 0 = 3/4(x - 4) <== this is one answer

y - y1 = m(x - x1)
slope(m) = 3/4
using points (0,-3)...x1 = 0 and y1 = -3
now we sub
y - (-3) = 3/4(x - 0) =
y + 3 = 3/4(x - 0) <== here is another answer

y - y1 = m(x - x1)
slope(m) = 3/4
using points (-4,-6)...x1 = -4 and y1 = -6
now we sub
y - (-6) = 3/4(x - (-4) =
y + 6 = 3/4(x + 4) <=== and here is another answer

5 0
2 years ago
Which could be the first step in solving this system of equations by substitution?
Ainat [17]

Answer:

The first step is to replace the y in y-x=15 with 7x (we can do this because the first equation tells us that they're equal)

solve and get

(2.5,17.5)

or x= 2.5 y=17.5

Step-by-step explanation:

The first step is to recognize that y=7x which means that we can just replace the y in the second equation with 7x

7x-x=15

6x=15

x=2.5

Then we can solve for y

y=7(2.5)

y=17.5

3 0
2 years ago
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