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harkovskaia [24]
3 years ago
10

The graph of a quadratic function has a vertex located at (7,-3) and passes through points (5,5) and (9,5). Which equation best

represents this function?
A) f(x)=(x-7)^2-3
B) f(x)=2(x-7)^2-3
C) f(x)= -(x-5)^2+5
D) f(x)= -2(x-5)^2+5
Mathematics
1 answer:
Serga [27]3 years ago
4 0

Answer:

B) f(x)=2(x-7)^2-3.

Step-by-step explanation:

The vertex form of the equation is given by f(x)=a(x-h)^2+k.

We plug in the vertex to obtain:

f(x)=a(x-7)^2-3.

Since the graph passes through (5,5) and (9,5), they must satisfy its equation.

5=a(9-7)^2-3.

5+3=4a.

8=4a

Divide both sides by 4.

a=2

Therefore the equation is:

f(x)=2(x-7)^2-3.

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16 x $9.70  = $155.20
answer: her gross pay in a week: $155.20

2.  7 hours on Wednesday, 6 hours on Thursday, and 9 hours on Friday. His gross pay for all three days was $196.90
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196.90 / 22 = $8.95
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3.hourly rate of $11.28 per hour worked 46 hours last week. She works overtime for hours exceeding 40 hours in a week. She is paid overtime at a rate of time and a half. What was her gross pay last week?

$11.28 x 40 = $451.20 ---normal 40 hours paid

46 - 40 = 6 (6 hours over time)

11.28 + 11.28/ 2 = $16.92 (overtime pays a rate of time and a half)

6 * $16.92 = $101.52

$451.20(40hours) +  $101.52(6hours overtime) = $552.72

answer: her gross pay last week was $552.72

4. Paul received a $15 tip on a meal that cost $120. What percent of the meal cost was the tip?

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answer: percent of the meal cost was the tip was 12.5%

5. Carly earns a weekly salary of $720 plus 4% commission. Last week, she sold $3250 worth of products. What was her gross pay?

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5 0
3 years ago
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Help help failing help needed
Karo-lina-s [1.5K]
The difference would be 37

4 0
3 years ago
Francis gets 6 paychecks in 12 weeks how many paychecks does she get in 52 weeks
Verdich [7]
26 paychecks. Because 12 divided by 6 is 2 so you would divide 52 by 2 and get 26.
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3 years ago
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umka21 [38]
What do you need help with?
8 0
3 years ago
Please help me I don’t remember how to do it
icang [17]
In this problem, you must change the signs of everything in the parenthesis, which will come to 3x^2 + x - 5x^2 - x + 4. Add like terms, and you will end up with -2x^2 + 4, which is answer choice A. Hope this helped
6 0
3 years ago
Read 2 more answers
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