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Cerrena [4.2K]
2 years ago
9

What is the axis of symmetry of h(x) = 6x2 − 60x + 147?

Mathematics
2 answers:
Tema [17]2 years ago
8 0
Thank you for posting your math question here at brainly. I think the choices for the above problem is the below, it can be found elsewhere. 

a. x = −5
b. x = −3
c. x = 3
<span>d. x = 5

The answer is d. I hope it helps. </span>
ruslelena [56]2 years ago
8 0

<u>Answer-</u>

<em>The axis of symmetry is  x=5</em>

Solution-


The parabolic equation given is,

h(x) = 6x^2-60x+147

Here,  

a = 6, b = -60, c = 147

The equation of the axis of symmetry is,

x=-\dfrac{b}{2a}

Putting the values,

\Rightarrow x=-\dfrac{-60}{2\times 6}\\\\\Rightarrow x=\dfrac{60}{12}\\\\\Rightarrow x=5

Therefore, the axis of symmetry is x=5

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Lin counts 5 bacteria under a microscope. She counts them again each day for four days, and finds
svetlana [45]

Answer:

Yes, but it is not linear. It is exponential :  f(x) = 5\cdot 2^{x-1}

Step-by-step explanation:

On the first day we have 5 bacteria.

On the second day we will have 5*2 = 10 bacteria.

On the third day we will have 10*2 = 5*2*2 = 5*2^2 = 20 bacteria.

On the fourth day we will have 20*2 = 5*2*2*2 = 5*2^3 = 40 bacteria.

We can see that

                                                f(x) = 5\cdot 2^{x-1},

where x is a number of days and f(x) gives us the number of bacteria.

4 0
2 years ago
Colleen compared the ratios 3:8 and One-half. Her work is shown below. Write the ratios as fractions: Three-eighths and One-half
labwork [276]

This question is Incomplete

Complete Question

Colleen compared the ratios 3:8 and 1/2.

Her work is shown below.

Write the ratios as fractions: 3/8 and 1/8 Compare the numerators: 3 > 1 Write the correct statement: 3/8 > 1/2

Where did Colleen make her first mistake?

A. The common denominator should be 4 rather than 8

B. The numerators are compared incorrectly.

C. The fraction 1/2 should have been rewritten as 6/8

D. The fraction 1/2 should have been rewritten as 4/8.

Answer:

D. The fraction 1/2 should have been rewritten as 4/8.

Step-by-step explanation:

Colleen compared the ratios 3:8 and 1/2.

Step 1

Write the ratios as fractions: 3/8 and 1/2

Step 2

Compare the numerators: 3 > 1

Step 3

Compare the denominators 8 >2

Write the correct statement:

3/8 > 4/8

Therefore, D. The fraction 1/2 should have been rewritten as 4/8.

5 0
2 years ago
HELP PLEASE HELP!!!!! 20 POINTS!!!
ivann1987 [24]
The answer should be C. By combining like terms you can find the answer. 1.75a+2.75a = 4.5a
2.25b + 1.75b = 4b
2.25c + 1.25c = 3.5c
3 0
2 years ago
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A geometry teacher asked Charlene to define “acute triangle.” Charlene said that an acute triangle is a triangle whose three int
Slav-nsk [51]
By definition we have to:
 Acute triangle - It is a triangle that has all acute angles. An acute angle is one whose degree of measurement is less than 90.
 Therefore, Charlene's definition is correct.
 Charlene said:
 triangle is a triangle whose three interior angles have measures less than 90 °
 Answer:
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Write an equation of the graph:
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Hope this helps!
5 0
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