Answer:

Step-by-step explanation:
Using the rule of exponents
=
, then
= 
Answer:
x=0
Step-by-step explanation:
We are given:
g(x) =10x +2
and
g(x)=2
g(x) is equal to both 10x+2 and 2. Therefore, by substitution, we can set them equal to each other
10x+2=2
Now, we need to solve for x. First, move all the numbers to the same side. Subtract 2 from both sides
10x+2-2=2-2
10x=0
To solve for x, we have to get x by itself. x and 10 are being multiplied. To get x alone, divide both sides by 10.
10x/10=0/10
x=0
The slope is 7/5 and the equation of the line is 5y - 7x = 0 if the points (10,14) and (35,49) form a proportional relationship.
<h3>What is the slope?</h3>
The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

From the above formula, we can find the slope of the line:
m = (49-14)/(35-10)
m = 35/25
m = 7/5
The equation will be:
y = 7x/5 + c
here c is the y-intercept
Plug (10, 14) in the equation to find the value of c
14 = 7(10)/5 + c
c = 0
y = 7x/5 or
5y - 7x = 0
Thus, the slope is 7/5 and the equation of the line is 5y - 7x = 0 if the points (10,14) and (35,49) form a proportional relationship.
Learn more about the slope here:
brainly.com/question/3605446
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Answer:
$90
Step-by-step explanation:
The principal amount in the loan taken by Sharon is $750 . Note hat the $20 processing fee is a one time cost and is not included in the interest calculation.
Annual Rate of interest offered to Sharon is 12%
Time interval for the loan transaction is 1 year.
So the interest for 1 year is given by \[Principal * Rate * Year /100\]
\[750 * 12 * 1 /100\] = $90
So, Sharon will have to pay $90 as interest for the loan amount $750 borrowed for one year at the rate 12%.
Answer: f(-4) = 17
Step-by-step explanation: Substitute (-4) for x.
- f(-4) = -5(-4) - 3
- f(-4) = 20 - 3
- f(-4) = 17