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Vikentia [17]
2 years ago
5

For the functions f(x) = 2x − 6 and g(x) = 5x + 1, which composition produces the greatest output?

Mathematics
1 answer:
kotegsom [21]2 years ago
4 0

Answer:

g(x) = 5x + 1

Step-by-step explanation:

Given data

We have the following expressions to work with

f(x) = 2x − 6 and

g(x) = 5x + 1

say the value of x = 3

let us put x into the two expressions above and compare the output

f(x) = 2*3 − 6= 6-6= 0

g(x) = 5*3 + 1= 15+1= 16

Hence the second function has the greatest output

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A circle has a radius of 11 in. Find the length s of the arc intercepted by a central angle of 11°.
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Answer:

Step-by-step explanation:

11 degrees to radians: 1 degree =57.296 radians

L = (11 degrees)/(57.296) x (11 in) = 2.111848 in

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3 years ago
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inessss [21]
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The area of a rectangular fountain is x2 + 9x + 20 square feet. A 3-foot walkway is built around the fountain. Find the dimensio
Leto [7]

Answer:

(x+11) by (x+10)

Step-by-step explanation:

We know that Area = Length x width

Given: Area = x²+9x+20

Lets sort this out first

Area = x²+5x + 4x + 20

Area = x(x+5) + 4(x+5)

Area = (x+5) (x+4)

Therefore, it is concluded that:

Length 'l' = (x+5) feet

Width 'w' = (x+4) feet

if a 3-foot walkway is built around the fountain, we'll add 3 feet on both sides

Therefore,

Outer Length = (x+5+3+3) = (x+11) feet

Outer Width = (x+4+3+3) = (x+10) feet

Answer:

The fountain is (x+5) by (x+4).  

dimensions of the outside border of the walkway are (x+11) by (x+10)

8 0
3 years ago
What is the length of the hypotenuse, c? Round your answer to the nearest hundredth.
Afina-wow [57]

Answer:

Step-by-step explanation:

By using the Pythagorean theorem:

b^2+3^2=5^2
b^2+9=25

b=sqrt (25-9)

b=sqrt(16)

b=4

=> 4^2+7^2=c^2
16+49=c^2
65=c^2
=>c=sqrt(65)

c = (approximately) 8

5 0
2 years ago
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