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netineya [11]
3 years ago
5

What is the value of h when the function is converted to vertex form?

Mathematics
2 answers:
Umnica [9.8K]3 years ago
7 0

Answer:

The value of h is 7.

Step-by-step explanation:

The given function is

p(x)=x^2-14x+29

where a=1,b=-14,c=29

The h-value of the vertex can be calculated with the formula;

h=-\frac{b}{2a}

We substitute the necessary values to obtain;

h=-\frac{-14}{2(1)}

Simplify to get;

h=7

elena-s [515]3 years ago
4 0

Answer: h=7

Step-by-step explanation:

By definition the function in vertex form is:

 f(x)=a(x-h)^{2}+k

Where (h,k) is the vertex of the parabola.

You must group the terms that contain the same variable in the function:

f(x)=(x^{2}-14x)+29

Complete the square as following:

f(x)=(x^{2}-14x+49)+29-49

Now you must rewrite it as following:

 f(x)=(x-7)^{2}-20

Then:

h=7

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Set up a ratio:

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Cross multiply:

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Divide both sides by 180:

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7 0
3 years ago
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There are 130 people in a sport centre. 73 people use the gym. 62 people use the swimming pool. 58 people use the track. 22 peop
Delvig [45]

Answer:

\frac{11}{87}

Step-by-step explanation:

Total number of people = 130

Number of people who use the gym = 73

Number of people who use the pool = 62

Number of people who use the track = 58

Number of people who use the gym and the pool = 22

Number of people who use the pool and the track = 29

Number of people who use the gym and the track = 25

Number of people who use all three facilities = 11

Total number of people who use at least two facilities = 22 + 29 + 25 + 11 = 87

The probability that the randomly selected person uses all three facilities = number of those who use all three facilities ÷ total number of people who use at least two facilities.

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3 years ago
Use distributive property to simplify. 10(-8s-k) just need to check if -80s-10k is correct.
Nitella [24]
10(-8s-k)
(10) (-8s + -k)
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A barista averages making 16 coffees per hour. At this rate, how many hours will it take until she’s made 1,200 coffees?
nignag [31]

Answer:

75 hours

Step-by-step explanation:

16 times x=1200 or

16x=1200

divide both sides by 16

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5 0
3 years ago
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