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Evgen [1.6K]
3 years ago
13

Consider the combined function. f(X) + g(X) = 9x + 4 . If f(x) = 4x - 3, find g(x)

Mathematics
1 answer:
Amanda [17]3 years ago
6 0

Answer:

g(x)=5x+7

Step-by-step explanation:

f(x)+g(x)=9x+4

We are given f(x)=4x-3.

So we insert 4x-3 for f:

4x-3+g(x)=9x+4

Subtract 4x on both sides:

  -3+g(x)=5x+4

Add 3 on both sides:

       g(x)=5x+7

Check:

  f(x)+g(x)

=(4x-3)+(5x+7)

=(4x+5x)+(-3+7)

=(9x)     +(4)

=9x+4

Bingo. We did it! :)

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A square with sides of length 5 is positioned inside a square with sides of length 7. What is
kow [346]

Answer: 24cm²

Step-by-step explanation:

Let square with length 5cm be represented with A, and square with 7cm be represented with B.

Area of a square is L²

Square A will have an area of 5² = 25cm²

Square B will have an area of 7² = 49cm²

Total area between the two squares will be = Area of Square (B - A)

i.e.

Total Area = 49cm² - 25cm² = 24cm²

3 0
3 years ago
The number of bacteria in petri dish A doubles every 10 minutes. The number of bacteria in oetri dish B doubles every 6 minites.
marissa [1.9K]
Givens
Petri Dish A sees a double ever 10 minutes
Petri Dish B sees a double ever 6 minutes

Consequences
A doubles 60 / 10 = 6 times.
B doubles 60 / 6 = 10 times.

Solution
If you work best with numbers then suppose there are 100 bacteria in both dishes at the beginning
A = 100 * 2^6
B = 100 * 2^10

A will have 100 * 64 = 6400 bacteria growing inside A
B will have 100 * 1024 = 102400 bacteria growing inside B

B/A = 102400 / 6400 = 16

There are 16 times as many in B than in A. <<<< Answer

7 0
3 years ago
Help plz!
julia-pushkina [17]
She uses four pounds because 4/5 of five pounds is four.
4 0
3 years ago
Clint invested $6000 in a savings account for 12.5 years. At the end of 12.5 years, his savings account had $8250 in it. If $600
Vika [28.1K]
The balance B at the end of time t is given by
  B = P +Prt
  8250 = 6000 +6000*r*12.5 . . . . substitute the given information
  2250 = 6000*r*12.5 . . . . . . . . . . .subtract 6000
  2250/(6000*12.5) = r . . . . . . . . . .divide by the coefficient of r
  r = .03 = 3%

Clint earned 3% annual simple interest on his savings.
7 0
3 years ago
Read 2 more answers
Mary is an years old. What expression represents her age 7 years from now? Two years ago?
Rudiy27

Answer

What expression represents her age 7 years from now?

y =x+7x

Two years ago?

z=y-2x

Step-by-step explanation:

7 0
3 years ago
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