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3 years ago

Given f(x) = 3x + 10 and g(x) = x - 2, find f (g(5)) -10 23 None of these.

2 answers:

azamat3 years ago

4 0

Answer: None of these

Explanation:

f(g(5)) first let’s find g(5)

We know:
g(x) = x - 2
g(5) = 5 - 2
g(5) = 3

Thus, f(g(5)) = f(3) because g(5) = 3

=> f(3) = 3(3) + 10
=> f(3) = 9 + 10
=> f(3) = 19

Therefore, f(g(5)) = 19

Marta_Voda [28]3 years ago

3 0

Solution :-

Provided :-

• f(x) = 3x + 10

• g(x) = x - 2

We have to find out

• f(g(5))

Replace g(x) = x - 2 , here x = 5

= f( (5) - 2)

= f(3)

Replace f(x) = 3x + 10 , here x = g(x) = 3

= 3(3) + 10

= 9 + 10

= 19

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7. Ben's earnings for work he did from Monday through Saturday were: $78,

Agata [3.3K]

Answer:Average daily pay =$90

Step-by-step explanation:

Step 1

Formulae

Average daily earnings = Total amount of earning from Monday through Saturday/ number of days

Step 2

Monday $78,

Tuesday $94

Wednesday $115

Thursday $108

Friday $67

Saturday $78

Total earnings for Ben = $540

Average daily pay= $540/6 ==$90

8 0

3 years ago

What is 5/3 converted into a decimal?

stepan [7]

It would be, 1.66666667

6 0

3 years ago

The numbers of regular season wins for 10 football teams in a given season are given below. Determine the range, mean, variance,

galina1969 [7]

Answer:

Range = 13

Mean = 8.3

Variance = 17.61

Step-by-step explanation:

Given the population dataset :

2, 9, 15, 4, 12, 9, 13, 6, 3, 10

1.) Range : (maximum - minimum)

Maximum = 15 ; minimum = 2

Range = (15 - 2) = 13

2.) population mean (μ) :

μ = ΣX / n

n = sample size

μ = (2 + 9 + 15 + 4 + 12 + 9 + 13 + 6 + 3 + 10) / 10

μ = 83 / 10

μ = 8.3

3.) Population variance (s²)

Σ(x - μ)² / n

=[(2 - 8.3)^2 + (9 - 8.3)^2 + (15 - 8.3)^2 + (4 - 8.3)^2 + (12 - 8.3)^2 + (9 - 8.3)^2 + (13 - 8.3)^2 + (6 - 8.3)^2 + (3 - 8.3)^2 + (10 - 8.3)^2] / 10

s² = 176.1 / 10

s² = 17.61

8 0

3 years ago

A tissue sample is three cells thick. Each cell has a thickness of 0.000004m. What is the thickness of the tissue sample in mm.

Sindrei [870]

Answer:

4000 nm

Step-by-step explanation:

Conversion from meters to nanometers: 1 meter is 1(10⁹) nm

Step 1: Convert 0.000004 to scientific notation

0.000004 = 4(10⁻⁶)

Step 2: Convert by multiplication

4(10⁻⁶) x 1(10⁹) = 4000 nm

8 0

2 years ago

1. Identify your variables using let statements.

Advocard [28]

The number of chicken dish is 131 dishes while the number of lobster dishes is 119 dishes

<h3>How to find the number of each type of dish.</h3>

Let

x = number of chicken dish and
y = number of lobster dish

<h3>How to determine the equations for the linear system</h3>

Since it cost $40 per dish for chicken dish, the total cost of chicken dish is 40x.

Also, since it cost $70 per dish for lobster dish, the total cost of lobster dish is 70y

So, the total cost of dish is T = 40x + 70y

Also, we know that the total cost of dish is $13,570.

So, 40x + 70y = 13570 (1)

Also, there are going to be 250 guest at the dinner and thus 250 dishes.

So, the total number of dishes is x + y = 250

So, x + y = 250 (2)

So, the equations of the linear system are

40x + 70y = 13570 (1)

x + y = 250 (2)

<h3>How to determine the solution for the linear system</h3>

Since

40x + 70y = 13570 (1)

x + y = 250 (2)

From (2), x = 250 - y

Substituting x into (1), we have

40x + 70y = 13570 (1)

40(250 - y) + 70y = 13570 (1)

10000 - 40y + 70y = 13570

30y = 13570 - 10000

30y = 3570

y = 3570/30

y = 119

Substituting y = 119 into x, we have

x = 250 - y

x = 250 - 119

x = 131

Therefore, the number of chicken dish is 131 dishes while the number of lobster dishes is 119 dishes

Learn more about equation of linear system here:

brainly.com/question/13729904

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7 0

2 years ago