Answer:
g(x) = 12x + 27
Step-by-step explanation:
Take a point in the f(x).
f(0) = 12(0) + 3
f(0) = 3
A point on f(x) is (0,3).
Move the point 2 units left. It will make the x-coordinate decrease by 2.
0 - 2 = -2
A point on g(x) is (-2,3).
Substitute the point and the same slope into the equation of a line. The slope did not change.
y = mx + b
3 = 12(-2) + b
3 = -24 + b
b = 3 + 24
b = 27
Rewrite g(x) using b = 27 and the same slope, m = 12.
g(x) = 12x + 27
Answer:
$8.40
Step-by-step explanation:
We can write a proportion to find the total amount last year using the information given. A proportion is two equivalent ratios set equal to each other.
We will cross multiply the numerator of one ratio with denominator of the other. And then solve for y.
125(y)=100(10.50)
125y=1050
y=8.40
The place with the best buy between village market and Sam's club is Sam's club at $0.59 per can.
<h3>Unit rate</h3>
Village market:
- Green beans = 5 cans
- Total cost = $3.70
Unit rate = Total cost / green beans
= 3.70 / 5
= $0.74 per can
Sam's club:
- Green beans = 10 cans
- Total cost = $5.90
Unit rate = Total cost / green beans
= 5.90/10
= $0.59 per can
Therefore, the place with the best buy between village market and Sam's club is Sam's club at $0.59 per can.
Learn more about unit rate:
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Answer:
Mala had 14 sweets at the start.
Step-by-step explanation:
7 x 2 = 14
To check, 14/2 = 7. (Dividing by 2 is the same as multiplying by 1/2)
The answer should be (6,6), you can plug 6 in for both x and y in order to solve the function.
y=12-x
(6)= 12 - (6)
6=6
