12>x
X = the number of golf balls, inequality states that the number of golf balls is over 12
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➷ Substitute -3 into g(x)
g(-3) = 2(-3) + 4
Solve:
g(x) = -2
Substitute this value into f(x)
f(-2) = 3(-2)^2
Solve:
f(-2) = 12
The answer is B. 12
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The
<u>correct answer</u> is:
9.2 ft.
Explanation:
The distance from a point (m,n) to a line Ax+By+C=0 is given by the formula:

We first need to write our equation in the form Ax+By+C=0.
y=(-6/7)x+7
First we will add 6/7x to each side:
y+6/7x=(-6/7x)+7+(6/7x)
y+6/7x=7
Now we will subtract 7 from each side:
y+6/7x-7=7-7
y+6/7x-7=0
It will be easier to work with this equation if we do not have fractions. We can accomplish this by multiplying everything by the denominator of the fraction, 7:
y(7)+(6/7x)(7)-7(7)=0
7y+(42/7)x-49=0
7y+6x-49=0
Now we rearrange the terms to the x term is in front:
6x+7y-49=0
This is in the form Ax+By+C=0, where A=6, B=7 and C=-49.
Substituting these into our formula above along with our coordinates from our point (m,n)=(6, 14) we have:
solution:
Now, the total displacement of her trip is given as,
d¬̅ = (0.7mi)(- jˆ)+ (0.8mi) iˆ + (1.2mi)cos30˚I + (1.2mi)sin30˚ jˆ
d¬̅ = (0.7mi)(- jˆ)+ (0.8mi) iˆ + (1.04mi) iˆ + (0.6mi) jˆ
d¬̅ = (1.84mi) iˆ + (0.1mi)( - jˆ)
the displacement lies in the fourth quadrant
so, the direction of the total displacement will ne in east-south direction.
Answer:
The expression that represents Capri’s age is a + 4.
The expression that represents Portia’s age is a – 5.
Step-by-step explanation:
The expression that represents Capri's age is a + 4.
The expression that represents Portia's age is a -5.
To write an equation for this scenario, Capri's age needs to be equal to Portia’s age
The equation used to represent this scenario is a + a + 5 + 2 - 4 = 38.
Solving this equation will give Aziza's age.
Aziza'a age = a
Portia age = a - 5
Capri's age = 4 + a
a + a - 5 + 4 + a = 38