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gtnhenbr [62]
3 years ago
10

what is f(x) = 2x2 28x – 5 written in vertex form? f(x) = 2(x 7)2 – 19 f(x) = 2(x 7)2 – 103 f(x) = 2(x 14)2 – 14 f(x) = 2(x 14)2

– 98
Mathematics
2 answers:
Katarina [22]3 years ago
4 0
Hello,
++++++++++++++++++++++
Answer B
++++++++++++++++++++++

2x²+28x-5=2(x²+2*7x+49)-5-2*48
=2(x+7)²-103

++++++++++++++++++++++++++++++
lana66690 [7]3 years ago
4 0

Answer:

f(x)=2(x+7)^2-103

Step-by-step explanation:

f(x) = 2x^2+28x - 5

To find out vertex apply the formula x=-b/2a

The value of a=2 and b=28

x=\frac{-b}{2a} =\frac{-28}{4} =-7

Now plug in x=-7 in f(x) equation and find out f(-7)

f(-7) = 2(-7)^2+28(-7)- 5=-103

Vertex is (-7,-103)

Now use vertex formula

f(x)=a(x-h)^2+k

a=2, h=-7, k=-103

Plug in all the values in the vertex form equation

f(x)=2(x+7)^2-103

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mezya [45]

Answer:

The probability of Javier volunteers for less than three a month is 25%

Step-by-step explanation:

According to the questions,

The probability of Javier to attend exactly 5 events :-

P ( x = 5 ) = 25% = \frac{1}{4}

The probability of Javier to attend exactly 4 events :-

P ( x = 4 ) = \frac{1}{4}

The probability of Javier to attend exactly 3 events :-

P ( x = 3 ) = \frac{1}{4}

The probability of Javier to attend exactly 2 events :-

P ( x = 2 ) = \frac{3}{20}

The probability of Javier to attend exactly 1 events :-

P ( x = 1 ) = \frac{1}{20}

The probability of Javier to attend no events :-

P ( x = 0 ) = \frac{1}{20}

Now we have to calculate the probability of Javier volunteers for less than three P ( x < 3 ).

P ( x < 3 ) = P ( x = 0 ) + P ( x = 1 ) + P ( x = 2 )

P ( x < 3 ) = \frac{1}{20} + \frac{1}{20} + \frac{3}{20}   = \frac{1 + 1 + 3}{20}  = \frac{5}{20}  = \frac{1}{4}   = 0.25 = 25 %.

8 0
3 years ago
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Agata [3.3K]
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3 years ago
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alisha [4.7K]

Answer:

There is no short answer.

Step-by-step explanation:

To find to intervals which f(x) increases or decreases, we first need to find it's derivative.

f(x) = sinx - cosx\\f'(x) = cosx - (-sinx) = cosx + sinx

The function is increasing when it's value is  > 0 and decreasing when it's value is < 0.

If we take a look at this graph, cosx+sinx is positive when they are both positive or when cosx is greater then sinx on the negative part.

I hope this answer helps.

3 0
3 years ago
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Alja [10]
<h2>63.6 cm</h2><h2 />

Cut diameter in half to find radius

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radius = 4.5

This is the formula for area of a circle:

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3 0
3 years ago
Read 2 more answers
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inn [45]

Answer:

(c) Pi/4

Step-by-step explanation:

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