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3 years ago

2. Given f(x)=4^2+6x and g(x)=2x^2+15, fine (f/g)(x)

Mathematics

2 answers:

Pie3 years ago

5 0

Its 3.475 or 27.86557

Pani-rosa [81]3 years ago

5 0

(2x^2) / x + 5

[(4x^2 + 6x) / (2x^2 + 13x + 15)] (x)

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Solve for x.<br> Sqrt8 (Sqrt2 - x) = 11

Alexus [3.1K]

Answer: $\frac{-7\sqrt{2} }{4}$

Step-by-step explanation:

So first, let's get rid of the parentheses. We can multiply it out to get $\sqrt{16}-x\sqrt{8} =11$ . We know that the square root of 16 is ±4, so now our equation is ±4 - $x\sqrt{8}$ =11. I'm guessing since the problem only has one solution it's most likely only positive 4, so let's revise our equation to 4 - $x\sqrt{8}$ =11. We can use inverse operations to make the a little easier to solve: -7= $x\sqrt{8}$ . We divide both sides by $\sqrt{8}$ to get $\frac{-7}{\sqrt{8} } =x$ , which we can rationalize (remove the square root from the denominator so that it's a proper answer) by multiplying by $\frac{\sqrt{8} }{\sqrt{8} }$ (which is equal to one so we can use it) which is equal to $\frac{-7\sqrt{8} }{8}$ . Let's finish this by simplifying it. $\sqrt{8} =2\sqrt{2}$ (2x $2^{2}$ ). We can simplify it further by simplifying the 2, making it $\frac{-7\sqrt{2} }{4}$ .

Hope this wasn't too confusing! I'll answer any questions.

8 0

3 years ago

Read 2 more answers

A recording studio charges musicians an initial fee of $50 to record an album. Studio time costs an additional $75 per hour. Wri

elena-s [515]

Answer:

C=$50+$75×T

Step-by-step explanation:

$50 is the amount charged to record an album + 75 amount charged per hour ×T which is how much hours you are going to record an audio.

3 0

3 years ago

The test statistic of z= -2.39 is obtained when testing the claim that p<0.52.

krek1111 [17]

Considering the situation described, we have that:

a) The critical value is of z = -1.645.

b) Since the test statistic is less than the critical value, we should reject the null hypothesis H0.

<h3>What is the critical value?</h3>

We have a left-tailed test, as we are testing if the proportion is less than a value. Hence the critical value is z with a p-value equals to the significance level, hence z with a p-value of 0.05, hence z = -1.645.

<h3>What is the decision?</h3>

Considering the test statistic, for a left-tailed test, we have that:

Less than the critical value: Reject H0.

Equal or greater: Do not reject.

In this problem, z = -2.39 is less than -1.645, hence we should reject the null hypothesis H0.

More can be learned about the test of an hypothesis at brainly.com/question/13873630

#SPJ1

6 0

2 years ago

Please help me. I will give brainliest.

Ber [7]

Hey!

------------------------------------------------

Points:

(-2, 3) and (3, 0)

------------------------------------------------

Find the slope:

$= \frac{y2 - y1}{x2 - x1} \\=\frac{0 - 3}{3 - (-2)}\\= \frac{-3}{5} or -0.8$

------------------------------------------------

Slope Intercept Form:

y = mx + b

m = slope

b = y-intercept

Slope = -3/5

Y-intercept = 9/5

Answer: y = -3/5 + 9/5

------------------------------------------------

Point Slope Form:

y - y1 = m(x - x1)

You can use either of the points.

Answer:

y - 3 = -3/5(x - 2)

y - 0 = -3/5(x - 3)

------------------------------------------------

Hope This Helped! Good Luck!

3 0

3 years ago

Read 2 more answers

Paul cuts apples into cubes with a height of 1 1 fraction bar 3 in. He then coats the apples in caramel. Hiw much area is covere

Gemiola [76]

Ok so since we don't know how many cubes are covered, I will solve for how much area was covered on 1 cube
cube has 6 faces, all squares
area of square=side^2
therefor surface area (area covered by carmael)=6 times side^2
side=1 and 1/3
convert 1 and 1/3 to imporoper
1 and 1/3=1+1/3=3/3+1/3=4/3

Surface Area=6 times side^2
SA=6(4/3)^2
SA=6(16/9)
SA=96/9
SA=10 and 6/9
SA=10 and 2/3

answer is 10 and 2/3 in^2 is covered per cube
(if you are given a number of cubes, multiply 10 and 2/3 in^2 by number of cubes)

6 0

3 years ago