Answer:
a) y=5ˣ-3
b) y=5ˣ⁻²
c) y=5^(x+1/2)
d) y=5^(x+2.5)+1
Step-by-step explanation:
b: vertical stretch or compression and reflection across x-axis
a: horizontal stretch or compression and reflection across y-axis
h: horizontal shift (left and right)
k: vertical shift (up and down)
a) y=5ˣ-3
b) y=5ˣ⁻²
c) y=5^(x+1/2)
d) y=5^(x+2.5)+1
$72
<h3>Further explanation</h3><u>Given:</u>
Abbie spent ⁵/₈ of her money and saved the rest.
She spent $45.
<u>Question:</u>
How much money did she have at first?
<u>The Process:</u>
The meaning of "Abbie spent ⁵/₈ of her money" is that she has spent 5 of the 8 parts of the money she had at first.
Let us make a pattern of 8 units for the amount of money that Abbie had at first.
Since Abbie spent ⁵/₈ of her money, then we create a pattern of 5 units containing $9 each. Recall that
From the pattern above, we can see that
Let us calculate how much money Abbie had at first.
Thus, the money Abbie had at first is $72.
The complete pattern of Abbie's initial money is as follows:
- - - - - - - - - -
<u>Quick Steps:</u>
Let M as Abbie's initial money.
Both sides are multiplied by ⁸/₅ so that M is the subject alone on the left side.
We crossed out 5 and 45.
Thus, the money Abbie had at first is $72.
<h3>Learn more</h3>Keywords: Abbie, spent 5/8 of her money, saved the rest, $45, $72, how much money, she have at first, the pattern
Answer:
b. 28.1
Step-by-step explanation:
By the property of intersecting secant and tangent out side of the circle.