What is the best estimate of the sum of the fractions?
31/4 +17/3 + 8/18
a) 12 1/2
b) 13
c) 14 1/2
d) 15

B) 13

Step-by-step explanation:

C) 14 1/2

Step-by-step explanation:

To find the best estimate of the sum you need to round each fraction to the nearest whole number and then add them together.

So first you need to convert 31/4 to a mixed number by dividing 31 by 4, which is 7 3/4.

Then you need to round 7 3/4 to the nearest whole number which is 8.

Then you need to convert 17/3 to a mixed number by dividing 17 by 3, which is  5 2/3.

Now you round 5 2/3 to the nearest whole number which is 6.

Then we have 8/18 so first we reduce it to its simplest form which is 4/9. 4/9 can be rounded up to 1/2.

Finally add the numbers you rounded

So, 8 + 6 + 1/2 = 14 1/2

So the best estimate of the sum is 14 1/2.

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

the factor is 2

step-by-step explanation:

let f(x)=8(3^(x−2)+2)

to stretch a graph by 3, it would be 3f(x)

g(x) =3f(x)

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

x     −2     0     2     4     6

f(x) 1/64 1/16   1/4     1     4

1/64 * z * z = 1/16

i multiplies by z twice because it its 2 steps from -2 to 0

1/64 z^2 = 1/16

multiply by 64 to clear the fraction on the left side

1/4 * 64 z^2 =1/16 *64

z^2 = 4

take the square root of each side

sqrt(z^2) = ±sqrt(4)

z = ±2  

we are multiplying by 2 each time.