Answer:
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Step-by-step explanation:
Answer:
x = 7, x = 
Step-by-step explanation:
A restriction can only be found in the denominators and this is when x is a certain number that when plugged in, makes the expression 0 (this makes it undefined, which you cannot have).
<em><u>Since we are only looking at the denominator, you can just ignore the numerator:</u></em>
(x - 7) (5x + 1)
<em><u>To find the restrictions, you must set them equal to 0:</u></em>
x - 7 = 0
5x + 1 = 0
<em><u>Then, solve:</u></em>
x - 7 = 0 5x + 1 = 0
+ 7 + 7 - 1 - 1
________ ________
x = 7 5x = -1
x = 
If you plug these numbers in, the total outcome would come out to be 0, making the expression undefined, proving that these are the restrictions of the expression.
Answer:
slope = - 1
Step-by-step explanation:
Calculate the slope m using the slope formula
m = 
with (x₁, y₁ ) = (- 1, 4) and (x₂, y₂ ) = (2, 1)
m =
=
= - 1
Answer:
3
Step-by-step explanation:
Answer:
y=0.75x+3.75
Step-by-step explanation:
The slope is

Substituting into point-slope form,
y - 6 = 0.75(x - 3)
y - 6 = 0.75x - 2.25
y = 0.75x + 3.75