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densk [106]
2 years ago
5

Evaluate the function g(x) = 8x+16 when x=-3,0, and 8

Mathematics
1 answer:
andriy [413]2 years ago
8 0

Answer:

g(x)=8x+16 for x= -3, 0, and 8.

g(-3) = -8

g(0)= 16

g(8)= 80

Step-by-step explanation:

Step 1. Plugin the given numbers.

g(-3)= 8(-3) + 16

g(0)= 8(0) + 16

g(8)= 8(8) + 16

Step 2. Solve the equations.

g(-3)= -24 + 16   Multiplied -3 and 8.

g(-3)= -8             Added -24 and 16

g(0)= 0+16         Multiplied 0 and 8.

g(0)= 16             Added 16 and 0.

g(8)= 64+16      Multiplied 8 and 8.

g(8)= 80            Added 64 and 16.

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Mr. Jones jogs the same route each day. The amount of time he jogs is inversely proportional to his jogging rate.
german

Answer is option C

Mr. Jones jogs the same route each day. The amount of time he jogs is inversely proportional to his jogging rate.

time= \frac{k}{rate}

k is the constant of proportionality

We check with each option and identify which option gives us same K value

(a) 4 mph for 2.5 hours and 6 mph for 3.75 hours

2.5= \frac{k}{4} so k = 10

3.75= \frac{k}{6} so k = 22.5

K values are not same

(b) 3 mph for 2 hours and 4.5 mph for 3 hours

2= \frac{k}{3} so k = 6

3= \frac{k}{4.5} so k = 13.5

K values are not same

(c) 4 mph for 2.5 hours and 5 mph for 2 hours

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K values are  same .

Answer is option C


3 0
3 years ago
Elena bikes 20 minutes each day for exercise. Write an equation to describe the relationship between her distance in miles, D, a
nika2105 [10]

Answer:

<h2>D= 3.9 miles</h2>

Step-by-step explanation:

Given data

speed v= 13 miles per hour

time taken t= 20min to hour 0.3 hours

the distance D

We know that the relationship between speed, time, and distance

speed=distance/time

13=D/0.3

(the expression above describes the relationship between  distance, speed, and time)

making D subject of formula we have

D= 0.3*13

D= 3.9 miles

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6 0
4 years ago
Given f(x)=4x^2-3x+1 and g(x)=2x-5 , find f(x)+g(x) .
Rudiy27
f(x)=4x^2-3x+1\\\\g(x)=2x-5\\\\f(x)+g(x)=(4x^2-3x+1)+(2x-5)=4x^2+(-3x+2x)+(1-5)=4x^2-x-4

Answer: D.

6 0
4 years ago
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