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ad-work [718]
3 years ago
6

In the Department of Natural Sciences, 14 faculty members have a PhD, and 30 faculty

Mathematics
1 answer:
Pie3 years ago
8 0

Answer:

14

Step-by-step explanation:

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Let f(x)=2x-1, and g (x)=x^2-3
Minchanka [31]

f(4)= 4^2 - 1 = 15

g(f(4)) = g(15) = 2(15) = 30

Hope this helps!


3 0
3 years ago
How to solve 9x 4 2/5 in words
Natalija [7]

Answer:

39.6

Thirty nine point six

Step-by-step explanation:

9 x 4 2/5

9 x 22/5

198/5 = 39.6

Thirty nine point six

3 0
3 years ago
Two numbers differ by 3. Their product<br> is 28. Find the numbers.
Paraphin [41]

Answer:

Two solutions (-4,-7) and (4,7)

Step-by-step explanation:

x = y + 3

x*y = 28

(y+3)*y=28

y^2+3y-28=0

(y+7)(y-4)=0

y=-7, y=4

x=-4, x=7

3 0
2 years ago
Alexa pays 7/20 of a dollar for each minute she uses her pay-as-you-go phone for a call, and 2/5 of a dollar for each minute of
9966 [12]

Answer:

  • The system of equations is x + y = 85 and 7/20x+2/5y=31
  • To eliminate the x-variable from the equations, you can multiply the equation with the fractions by 20 and multiply the other equation by -7.
  • B-She used 60 minutes for calling and 25 minutes for data.

Step-by-step explanation:

It is always a good idea to start by defining variables in such a problem. Here, we can let x represent the number of calling minutes, and y represent the number of data minutes. The the total number of minutes used is ...

  x + y = 85

The total of charges is the sum of the products of charge per minute and minutes used:

  7/20x + 2/5y = 31.00

We can eliminate the x-variable in these equations by multiplying the first by -7 and the second by 20, then adding the result.

  -7(x +y) +20(7/20x +2/5y) = -7(85) +20(31)

  -7x -7y +7x +8y = -595 +620 . . . . eliminate parentheses

  y = 25 . . . . . . . . simplify

Then the value of x is

  x = 85 -y = 85 -25

  x = 60

7 0
3 years ago
Read 2 more answers
A sphere has a radius of 5.3 ft. What is the volume of the sphere to the nearest tenth? use 3.14 for pi. Question 3 options:
Alenkinab [10]
Your answer would be c
623.3 ft^3
5 0
3 years ago
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