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AnnyKZ [126]
3 years ago
7

For the functions f(x)=6x2+5x−14 and g(x)=x+2, find (fg)(x) and (fg)(4).

Mathematics
2 answers:
Eduardwww [97]3 years ago
5 0

Answer:

many a number

Step-by-step explanation:

vova2212 [387]3 years ago
5 0

f(g(x)) = f(x+2) = 6(x+2)^2 + 5(x+2) - 14 = 6(x^2 + 4x + 4) + 5x + 10 - 14\\=6x^2 + 24x + 24 + 5x - 4 = 6x^2 + 29x + 20\\f(g(x)) = 6x^2 + 29x + 20\\\\f(g(4)) = 6(4^2) + 29(4) + 20 = 6(16) + 116 + 20 = 96 + 136 = 232\\f(g(4)) = 232

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Determine whether the following statement regarding the hypothesistest for two population proportions is true or false.
murzikaleks [220]

Answer:

False

Step-by-step explanation:

Let p1 be the population proportion for the first population

and p2 be the population proportion for the second population

Then

H_{0} p1  = p2

H_{a} p1 ≠ p2

Test statistic can be found usin the equation:

z=\frac{p1-p2}{\sqrt{{p*(1-p)*(\frac{1}{n1} +\frac{1}{n2}) }}} where

  • p1 is the sample population proportion for the first population
  • p2 is the sample population proportion for the second population
  • p is the pool proportion of p1 and p2
  • n1 is the sample size of the first population
  • n2 is the sample size of the second population.

As |p1-p2| gets smaller, the value of the <em>test statistic</em> gets smaller. Thus the probability of its being extreme gets smaller. This means its p-value gets higher.

As the<em> p-value</em> gets higher, the null hypothesis is less likely be rejected.

7 0
3 years ago
In a group of 33 students, 7 study both Art and Biology. 10 study Biology but not Art. 7 study neither subject. How many study A
netineya [11]

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Step-by-step explanation:

4 0
3 years ago
How do you find the base of a triangle if you know the height and the area?
bogdanovich [222]
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When solving the equation, which is the best first step to begin to simplify the equation?
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Step-by-step explanation:

3 0
3 years ago
Please ΔEFU ~ ΔVWU. Find the length of UF.
koban [17]
<h3>Answer: UF = 11</h3>

=======================================================

Explanation:

In EFU, we see that EU are the first and last letters. In VWU, we see that VU are the first and last letters. This order is important to be able to pair EU with VU

So EU/VU is one ratio

The other ratio is UF and UW, which are the last two letters of EFU and VWU respectively. So the other ratio is UF/UW

Set the ratios equal to each other and solve for x

EU/VU = UF/UW

7/35 = x/55

7*55 = 35*x ... cross multiply

385 = 35x

35x = 385

x = 385/35 .... divide both sides by 35

x = 11

UF = 11

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

Or you could note how UV = 35 is exactly 5 times larger compared to EU = 7

That must mean WU = 55 must also be 5 times larger compared to UF = x

So,

WU = 5*UF

55 = 5x

5x = 55

x = 55/5

x = 11

UF = 11

This is similar to the previous section because UV/EU = 35/7 = 5 is the scale factor.

4 0
4 years ago
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