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2 years ago

Find (fog)(x) when f(x)=x^2-7x+12 and g(x)=3/x^2-16

Mathematics

1 answer:

Kazeer [188]2 years ago

4 0

Answer:

$f( \frac{3}{ {x}^{2} - 16 } ) = ({\frac{3}{ {x}^{2} - 16 }})^{2} - 7(\frac{3}{ {x}^{2} - 16 }) + 12 \\ = \frac{9}{ {x}^{4} - 32 {x}^{2} + 256 } - \frac{21}{ {x}^{2} - 16} + 12$

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What is the percent of change from 35 to 62? round to the nearest percent.

Leona [35]

In order to change from 35 to 62, we have to add 27. So, the question becomes: which percentage of 35 is 27?

To answer this question, we set this simple equation

$27 = 35\cdot\dfrac{x}{100}$

And solving for x we have

$x = \dfrac{2700}{35} \approx 77.14$

So, if you change from 35 to 62, you have an increase of about 77%

7 0

3 years ago

2) Two full revolutions = how many degrees? I

VARVARA [1.3K]

Answer:

720 degrees

Step-by-step explanation:

one full rotation is 360 degrees

360 + 360 = 720

5 0

3 years ago

Read 2 more answers

According to police sources, a car with a certain protection system will be recovered 87% of the time. Find the probability that

WITCHER [35]

Answer: 0.01145

Step-by-step explanation:

We use Binomial distribution , where the probability of getting x successes in n trial is given by :-

$P(x)=^nC_xp^x(1-p)^{n-x}$ , p = probability of getting each success in each trial.

As per given

The proportion that a car with a certain protection system will be recovered= p=0.87

n= 8

Let x be the number of cars will be recovered.

Then, the probability that 4 of 8 stolen cars will be recovered:

$P(X=4)=^8C_4(0.87)^4(1-0.87)^{8-4}$

$=\dfrac{8!}{4!(8-4)!}(0.87)^4(0.13)^4\\\\= 70(0.57289761)(0.00028561)\\\\=0.0114537700474\approx0.01145$

Hence, the required probability is 0.01145.

5 0

3 years ago

What is the equation of the line that goes through the point (6,-1) and is parallel to the line represented by the equation belo

stepladder [879]

$\huge{\boxed{y=-\frac{5}{6} x+4}}$

Parallel lines share the same slope, so the slope of the parallel line in this case must be $-\frac{5}{6}$ .

Point-slope form is $y-y_1=m(x-x_1)$ , where $m$ is the slope and $(x_1, y_1)$ is any known point on the line.

Plug in the values. $y-(-1)=-\frac{5}{6} (x-6)$

Simplify and distribute. $y+1=-\frac{5}{6} x+5$

Subtract 1 from both sides. $\boxed{y=-\frac{5}{6} x+4}$

6 0

3 years ago

Read 2 more answers

Find the nearest place value. Use #13 to do #14

kondaur [170]

When rounding here are the rules
If the next number to the right is 1-4, you will round down or keep the # the same.
If the next number to the right is 5-9, you will round up to the next number.

So with your # 281,421,906
a. hundred million. This is the first 2...the number to the right of it is 8, so we will round the 2 up. And the answer is 300,000,000
b. ten million. This is the 8...the number to the right of it is 1, so we will round it down and 8 will remain an 8. And the answer is 280,000,000
c. million. This is the first 1 (281)...the number to the right is 4, so we will round down and 1 will remain a 1. And the answer is 281,000,000
d. hundred thousand. This is the 4...the number to the right of it is 2, so we will round down and the 4 will remain a 4. And the answer is 281,400,000
e. thousand. This is the second 1 (281,421)...the number to the right is the 9, so we will round up and the 1 will become a 2. And the answer is 281,422,000

Now for #14, think about the rules.
1. If you round it to the nearest one, you get 7.
2. If you round it to the nearest tenth, you get 7.0.
3. If you round it o the nearest hundredth, you get 7.00
4. It is the least number that fits the clues.

Ok basically it is saying, it rounds up to 7. So what would be the number that would round UP to 7? That would be 6. I'm rounding UP because it says it is the LEAST number that fits the clues.

3 0

3 years ago