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umka21 [38]
4 years ago
5

Given that f(x) =5x-10 qnd g(x) = 1/5 x+2 find (f×g)(x)​

Mathematics
2 answers:
Nata [24]4 years ago
6 0

Answer:

x^2 +8x-20

Step-by-step explanation:

f(x) =5x-10 qnd g(x) = 1/5 x+2

f*g = ( 5x-10)( 1/5 x+2)

FOIL

first: 5x*1/5x = x^2

outer: 5x*2 = 10x

inner: -10*1/5x = -2x

last: -10*2 = -20

Add them together = x^2 +10x -2x -20

x^2 +8x-20

Anika [276]4 years ago
6 0

Answer:

x² + 8x - 20

Step-by-step explanation:

Note that you are multiplying f(x) & g(x) together. Plug in 5x - 10 for f, and (1/5)x + 2 for g.

(5x - 10)(1/5x + 2)

Do FOIL. FOIL stands for First, Outside, Inside, Last

(5x)(1/5x) = 1x² = x²

(5x)(2) = 10x

(-10)(1/5x) = (-10/5)x = -2x

(-10)(2) = -20

Simplify. Combine like terms.

x² + 10x - 2x - 20 = x² + (10x - 2x) - 20 = x² + 8x - 20

x² + 8x - 20 is your answer.

~

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A 24ft flagpole has a shadow of 9ft. A soldier standing next to the flagpole has a shadow of 2.25 feet. How tall is the soldier?
natima [27]

Answer:

6 feet

Step-by-step explanation:

Let's form a proportion;

24                    x

____    =      _____ ,

 9                   2.25

24(2.25) = 9x,

54 = 9x,

x = height of soldier = 6 feet

4 0
4 years ago
Read 2 more answers
Sarah evaluated the expression [(23 x 4) + 2]+2. What was her answer?
n200080 [17]

Answer:

Step-by-step explanation:

((23 x 4) + 2)+2

(92 + 2) +2

94 + 2 = 96

7 0
3 years ago
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The perimeter of this figure is 42.5 cm. Find the area of this figure.
11111nata11111 [884]
The picture in the attached figure

let
AB=x

we know that
perimeter of the figure=10*x
perimeter=42.5 cm
so
42.5=10*x
x=42.5/10
x=4.25 cm

area of the figure=area of rectangle +area of square
area of rectangle=4.25*(4.25*3)----> 54.1875 cm²
area of square=4.25²----> 18.0625 cm²

area of the figure=54.1875+18.0625-----> 72.25 cm²

the answer is
72.25 cm²

3 0
4 years ago
(K-10) divided by 2 = -7<br><br> What’s the answer for the variable k?
stira [4]

Answer:

k = -4

Step-by-step explanation:

(k - 10)/2 = -7

First: multiply by 2 to get rid of the denominator

2(k - 10)/2 = 2(-7)

k - 10 = -14

Next: add 10 to both sides to isolate k

k - 10 + 10 = -14 + 10

k = -4

7 0
4 years ago
Ordered pair of 5x-6y=30
mixer [17]
(6,-5)

5x-6(0)=30
5x=30
5x/5= 30/5
x=6

5(0)-6y=30
-6y=30
-6y/-6=30/-6
y= -5
3 0
3 years ago
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