Answer:
Step-by-step explanation:
y=x²+6x+5
=(x²+6x+(6/2)²)-(6/2)²+5
=(x+3)²-9+5
=(x+3)²-4
The axis of symmetry is x+3=0
or x=-3
when x=-3,f(x)=-4
vertex is (-3,-4)
Domain :-∞<x<∞
or (-∞,∞)
Range:[-4,∞)
Help picture attached !!
1 answer:
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$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.
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Keywords: Abbie, spent 5/8 of her money, saved the rest, $45, $72, how much money, she have at first, the pattern