
This is an equation of a parabola that opens upwards.

2(m - 5) + 6PEMDASu multiply 2 into (m-5)2*m and 2*-5that would be 2m-10 + 6now subtract common variables-10 + 6 = -42m - 4
The value k needed for the transformation of f(x) to g(x) = f(k · x) is equal to 3.056.
<h3>How to find the find the dilation factor</h3>
In this problem we have the following relationship bewteen the two <em>quadratic</em> equations: g(x) = f(k · x), which means that for all y the following relationship between f(x) and g(x):

Let suppose that y = 3, then
and
, then the value k is:
k = (- 5.5)/(- 1.8)
k = 3.056
The value k needed for the transformation of f(x) to g(x) = f(k · x) is equal to 3.056.
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Answer:
$ 8.72
Step-by-step explanation:
- How much does Joe make per hour now?
$8.15 + 7%·$8.15 =
= $8.15 + 7×8.15/100
= $8.15 + $57.05/100
= $8.15 + $0.57
= $ 8.72
Answer:
15 + 2.05 x = 2.35 x
Step-by-step explanation:
Let x be the number of gallons you would have to buy for the two places to be the same.
At the club, there is a monthly fee of $15 that is charged once in a month. They also charge $2.05 per gallon, which is charged every gallon of gas you buy.
We can write an expression: 15 + 2.05 x
At the gas station, they charge $2.35 per gallon with no other fees.
We can also write an expression: 2.35 x
For the prices to be the same, we have 15 + 2.05 x = 2.35 x
If we were to solve, then we have:
(2.35 - 2.05) x = 15
x = 15 / 0.3 = 50 gallons