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alex41 [277]
3 years ago
11

Given that f(x) = 6x + 2 and g(x) = 2x + 4 5 solve for g(f(1)). 1 03 4 8

Mathematics
1 answer:
Schach [20]3 years ago
4 0

Answer:

20

Step-by-step explanation:

So we have:

f(x)=6x+2 \text{ and } g(x)=2x+4

And we want to find:

g(f(1))

So, let's find f(1) first:

f(x)=6x+2\\f(1)=6(1)+2

Multiply:

f(1)=6+2

Add:

f(1)=8

So, f(1) is 8. Substitute this for g(f(1)):

g(f(1))=g(8)

Substitute:

g(x)=2x+4\\g(8)=2(8)+4\\

Multiply:

g(8)=16+4

Add:

g(8)=g(f(1))=20

So our answer is 20

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Slope of -8,4 and 3,-4
nata0808 [166]

For this case we have that by definition, the slope of a line is given by:

m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}}

Where:

(x_ {1}, y_ {1})and(x_ {2}, y_ {2})are two points through which the line passes

According to the statement we have:

(x_ {1}, y_ {1}): (- 8,4)\\(x_ {2}, y_ {2}) :( 3, -4)

Substituting we have:

m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {-4-4} {3 - (- 8)} = \frac {-8} {3 + 8} = \frac {-8} {11} = - \frac {8} {11}

Thus, the slope of the line is:

m = - \frac {8} {11}

Answer:

m = - \frac {8} {11}

3 0
3 years ago
A study of the career paths of hotel general managers sent questionnaires to an SRS of 280 hotels belonging to major U.S. hotel
const2013 [10]

Answer and Step-by-step explanation:

we have the following data:

Point estimate = sample mean = \ bar x = 12.39

Population standard deviation = \ sigma = 3.7

Sample size = n = 177

a) the margin of error with a 90% confidence interval

α = 1 - 90%

alpha = 1 - 0.90 = 0.10

alpha / 2 = 0.05

Z \ alpha / 2 = Z0.05 = 1,645

Margin of error = E = Z \ alpha / 2 * (\ sigma / \ sqrtn)

we replace:

E = 1.645 * (3.7 / \ sqrt177)

Outcome:

E = 0.46

b) margin of error with a 99% confidence interval

α = 1-99%

alpha = 1 - 0.99 = 0.01

alpha / 2 = 0.005

Z \ alpha / 2 = Z0.005 = 2,576

Margin of error = E = Z \ alpha / 2 * (\ sigma / \ sqrtn)

we replace:

E = 2,576 * (3.7 / \ sqrt177)

Outcome:

E = 0.72

c) A larger confidence interval value will increase the margin of error.

6 0
3 years ago
Square root of 80 to the power of 2
Alex Ar [27]
80 would be your answer for this question
3 0
3 years ago
Read 2 more answers
50 points!!! Will mark brainliest
Murrr4er [49]

Answer:

x=20

Step-by-step explanation:

form a ratio

28:7

4:1

x:5

x=20

3 0
2 years ago
Read 2 more answers
Circle O is inscribed in square EFGH.
Citrus2011 [14]

Answer:

D) 25.5 cm

Step-by-step explanation:

Circumference = pi × d

20 = 3.14 × d

d = 6.3694267516

Diameter = length of one side

Perimeter of the square = 4s

4(6.3694267516)

25.4777070064 cm

From the options, closest is 25.5

3 0
3 years ago
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