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Cerrena [4.2K]
3 years ago
9

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

Mathematics
2 answers:
Tema [17]3 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]3 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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A. 1/5 fish

We know that 2/5 of Mike's fish are clownfish. Therefore, 3/5 are not clownish as 5/5 – 2/5 = 3/5. Also, if you look at the model, there are five pieces. If we assume that model represents the whole of Mike's fish and you take away two pieces, you are left with 3/5. So we know that the remaining fish is 3/5

Next, we know that of these 3/5 fish, 1/3 is damselfish, so we need to find 1/3 of 3/5. To do this, we must multiply 1/3 by 3/5 as "of" means multiply in Math.

So: 1/3 • 3/5 = 1 • 3/3 • 5 = 3/15       3 ÷ 3 = 1 and 15 ÷ 3 = 5    3/15 = 1/5

1/5 of Mike's fish are damsel fish


B. 2/5 fish

Now we know that 1/5 of Mike's fish is damselfish, and 2/5 is clownfish. To find the fraction of his fish that are neither, therefore, we must subtract their sum from the whole.

First, we add 1/5 and 2/5 together. Adding the numerators, 1 and 2, we get 1/5 + 2/5 = 3/5

Next, we subtract: 5/5 – 3/5 = 2/5, so 2/5 of his fish are neither clownfish or damselfish

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3 years ago
30 random samples of high school students were asked if they played a sport for their high school. Each sample was 20 students.
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<em>a. This option is correct</em>

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<em>d. This is not a correct choice</em>

Step-by-step explanation:

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We are given a dot plot representing 30 random sample proportions of high school students about their sports activities. Based on the data extracted from the plot, we can make some basic conclusions and, less accurately, some predictions.

From the data plot we can see that the following proportions were obtained, along with their absolute frequencies:

0.05 -> 3

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<em>This is a correct choice</em>

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