What is going f(x) = 2x2+28x-5 written is vertex form?
1 answer:
f(x) = 2(x^2 + 14x + ) - 5 2 is taken out of first 2 terms.
f(x) = 2(x^2 + 14x + (14/2)^2 ) - 5 - 2(14/2)^2
<em><u>2 steps </u></em>
- Inside the brackets: Linear term's coefficient (14) divided by 2 and squared
- Outside the brackets: (14/2)^2 multiplied by 2 and subtract so that there is no change in the value of the quadratic.
f(x) = 2*(x + 7)^2 - 103
The graph is of the original quadratic.
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Answer:
B
Step-by-step explanation:
For 11 1/2 gallons, he paid $36.80.
We need to find the cost per gallon.
First, converting 11 1/2 gallons to decimal, it is:
1/2 = 0.5
So, 11 1/2 is 11.5 gallons
So, Cost Per Gallon (last week) =
There is 5% increase on this $3.20 per gallon. We find 5% of 3.2 and add it to 3.2 to find this week's cost per gallon.
<em>5% = 5/100 = 0.05</em>
<em>0.05 * 3.20 = 0.16</em>
<em>So,</em>
<em>3.20 + 0.16 = $3.36 per gallon</em>
<em />
Cost Per Gallon (this week) = $3.36
To buy 9 1/4 gallons it would take:
<u>Note:</u> 1/4 = 0.25, so 9 1/4 = 9.25
It would cost $31.08 to buy 9.25 gallons this week
Correct answer is B