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Yuliya22 [10]
2 years ago
13

Can you convert the stander linear equation 5x-3y=15 into slope intercept form?

Mathematics
2 answers:
liraira [26]2 years ago
5 0

Answer: y = (5/3)x - 5

Step-by-step explanation:

5x-3y=15

-3y = -5x + 15

y = (5/3)x - 5

DerKrebs [107]2 years ago
5 0

Answer:

In slope intercept form, I think it would be y=5/3x-5

Step-by-step explanation:

5x-3y=15

-subtract 5x on both sides-

-3y=-5x+15

-divide by -3 on both sides-

y=-5/-3x+15/-3

(the negatives on -5/-3 cancel each other out leaving you with a positive 5/3)

y=5/3x-5

Im not sure if all calculations are correct, but i hope this helps! :)

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Use the remainder theorem to find which of the following is NOT a factor of x^3 – 4x^2 – 4x + 16.
nataly862011 [7]

Answer: x - 12 is not a factor.

Step-by-step explanation:

The equation

x³ - 4x² - 4x + 16

To know which of the following is a factor , we continue to find the value of x and substitute into the equation and see the one that gives zero. The one that gives zero is the factor.

(a) x + 2

If x + 2 = 0

x = -2, now substitute for x in the equation and find out if it will be zero.

x³ - 4x² - 4x + 16 = (-2)³ - 4(-2)² - 4(-2) + 16.

= -8 - 16 + 8 + 16

= 0.

Therefore, x + 2 is a factor.

(b) x - 12

If x - 12 = 0, then x = 12

x³ - 4x² - 4x + 16

(12)³ - 4(12)² - 4(12) + 16

1728 - 576 - 48 + 16

= 1,120 , not a factor.

(c) x - 2

If x - 2 = 0, then x = 2

x³ - 4x² - 4x + 16

(2)³ - 4(2)² - 4(2) + 16

8 - 16 - 8 + 16

= 0, Therefore, x - 2 is a factor.

(d) x - 4

If x - 4 = 0, x = 4

x³ - 4x² - 4x + 16

(4)³ - 4(4)² - 4(4) + 16

48 - 48 - 16 + 16

= 0,therefore, x - 4 is also a factor.

3 0
4 years ago
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