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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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Marshall left home biking at a constant rate of 20 mph. One hour later, it looked like it may rain, so his friend, Brett, set ou
xxTIMURxx [149]

Answer:

First, we need to find how far ahead Marshall was.  Since he had been biking at 20 mph for one hour, he had gone 20 miles.

Next, we need to find how long it will take Brett to catch up to Marshall.  In order to do this, we need to find how much faster Brett is going than Marshall.  We do this by subtracting Marshall's speed from Brett's speed.

60 - 20 = 40.  So, Brett is catching up to Marshall at 40 mph.  Now, we figure out how long it will take for someone going 40 miles per hour to go 20 miles.  We find this by dividing 40 miles per hour by 20.  This is equal to 1/2 hour.  So, it will take Brett 0.5 hours to catch up to Marshall.  This is the same as A, so A is the correct answer.

We can check our answer by seeing how far Marshall and Brett will have gone.  Marshall will have been biking for 1.5 hours, so we multiply 20 * 1.5 = 30.  Marshall went 30 miles.

Brett drove for .5 hours at 60 mph, so he went 30 miles.  Since Brett and Marshall went the same distance, our answer is correct.

4 0
3 years ago
Help please word problem...show work please
Alona [7]
A) you must plug in 50 for variable F and solve for C

C=\frac{5}{9}(50-32)
C=\frac{5}{9}(18)
C= 10
50 degrees fahrenheit is equal to 10 degrees celsius 

B) you must solve the equation for F

C= \frac{5}{9}(F-32)
C/\frac{5}{9}=F-32
C/\frac{5}{9}+32=F
F= C/\frac{5}{9}+32

dividing by a fraction is the same as multiplying buy its reciprocal so it can also be written as

F=\frac{9}{5}C +32

now you just plug in 50 for the variable C in the new equation

F= \frac{9}{5}(50) +32
F= 90 + 32
F= 122

50 degrees celsius is equal to 122 degrees fahrenheit

hope this helped!

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3 years ago
Find the quotient 54÷3=
dangina [55]
60/3=20 57/3=19 54/3=18
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3 years ago
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Plug in what you know. The equation is y=3x=11.
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3 years ago
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Which equation represents a line that passes through a (-2,4) and has a slope of 2/5
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It is the first option "y - 4 = 2/5 (x+2)".

Ordered pair (-2,4) is on the line.

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