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salantis [7]
2 years ago
15

Using the functions f(x) = 2x + 7, g(x) = x2 - 4, and h(x) = 5x. Find all of the following. Make sure your answer is in simplest

form. a. 4h(x) b. f(x) - g(x) c. f(g(x)) d. g(x)h(x) e. g(x) / f(x)
Mathematics
1 answer:
Stolb23 [73]2 years ago
7 0

Answer:

Given

f(x) = 2x+7

g(x) = x^2-4

h(x) = 5x

a. 4h(x)

= 4 * 5x

= 20x

b. f(x) - g(x)

f(x) - g(x) = 2x + 7 - (x^2 - 4)

= 2x+7-x^2+4

=-x^2+2x+7+4

=-x^2+2x+11

c. f(g(x)) = 2(g(x))+7

=2(x^2-4) +7

=2x^2-8+7

=2x^2-1

d. g(x)h(x) = (x^2-4)(5x)

= 5x^3 - 20x

e. g(x) / f(x) = x2 - 4/ 2x + 7

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the answer is
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2 years ago
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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
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timofeeve [1]

Answer:

l =10 units, 9.7 units, 5.5 units

Step-by-step explanation:

Area = length x breadth

Area of a square = l^2

100= l^2

√100 =√l^2

l=10 units

95=l^2

√95 = √l^2

l= 9.7 units

30=l^2

√30=√l^2

l= 5.5 units

6 0
2 years ago
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posledela

Answer:

Step-by-step explanation:

From the figure attached,

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          → B'[(2 × 3), (2 × 1)]

Since rule for the dilation of a point (x, y) by a factor of k is,

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Sliva [168]

Answer:

1  3/50

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now add the whole number to it to get 1 3/50

4 0
3 years ago
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