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zvonat [6]
3 years ago
13

If f(x) = -x + 4 and g(x) = x2 - 5, then f(g(-2)) = ?

Mathematics
1 answer:
schepotkina [342]3 years ago
6 0

Answer:

f(g(- 2)) = 5

Step-by-step explanation:

Evaluate g(- 2) then use this result to evaluate f(x)

g(- 2) = (- 2)² - 5 = 4 - 5 = - 1, then

f(- 1) = - (- 1) + 4 = 1 + 4 = 5

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2 years ago
The seats at a local baseball stadium are arranged so that each row has 5 more seat than the row in front of it. If there are fo
ohaa [14]
You would do an arithmetic sequence
use A1 +(n-1)d to calculate number of seats in the last row

An = 4+(24-1)5
An = 4 + (23)(5)
An = 4 + 115
An = 119 seats in the last row

now use a sum sequence to find total number of seats

Sn = n(a1 + an)/2 
Sn = 24(4+119)/2 
Sn = 24(123) /2 
Sn = 1476 total seats

4 0
3 years ago
If a person ran 1/2 of a mile in 1/10 of an hour. How far will the person run in one (1) hour?
makvit [3.9K]

Step-by-step explanation:

In 1/10 of 1hr = 1/2 mile

10*(1/10) of 1hr = 10(1/2) mile

(10/10) of 1hr = (10/2) mile

1 of 1hr = 5mile

It says, he can run 5 miles in 1 hour

5 0
3 years ago
Jonathan’s class has 30 boys. Of the students in his class, 60% are girls. How many girls are in Jonathan’s class?
raketka [301]

Answer:

45 girls

Step-by-step explanation:

  • Remark
  • There are only 2 choices for gender. So if the class is 60% girls, the there must be 100 - 60 = 40% for the boys.
  • But we are told that the boys are 30 in number.
  • Let x = the total number of students.

Solution

  • 40/100 * x = 30              Change the % to a decimal
  • 0.4 x = 30                       Divide both sides by 0.4
  • 0.4 x / 0.4 = 30 / 0.4      Do the division
  • x = 30/0.4
  • x = 75 students in total

Formula

Total of Boys and Girls = Number of boys + number of girls.

Givens

  • Total = 75
  • Number of boys = 30

Solution II

  • 75 = x + 30                 Subtract 30 from each side
  • 75 - 30 = x +30 - 30
  • 45 = x
  • There are 45 girls in the class.
5 0
4 years ago
Please help! It's due soon.
Sedbober [7]

Answer:

Because f(g(x)) = g(f(x)) = x, f and g <u>are </u> inverse functions.

Step-by-step explanation:

f(g(x)) = f(\frac{1}{4}\sqrt{x}) = 16(\frac{1}{4}\sqrt{x} ) ^{2} = 16(\frac{1}{16}x)=x

g(f(x)) = g (16x^{2}) = \frac{1}{4}\sqrt{16x^{2} } = \frac{1}{4}(4x) = x

6 0
3 years ago
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