$14mi-5\frac{7}{10}mi=[(14-5)-\frac{7}{10}]mi=(9-\frac{7}{10})mi=(8+1-\frac{7}{10})mi\\\\=(8+\frac{10}{10}-\frac{7}{10})mi=(8+\frac{10-7}{10})mi=(8+\frac{3}{10})mi=\boxed{8\frac{3}{10}mi}\\\\other\ method\\\\14mi-5\frac{7}{10}mi=14mi-5.7mi=(14-5-0.7)mi\\\\=(9-0.7)mi=\boxed{8.3mi}$

6 0

3 years ago

The function y=f(x) is graphed below. What is the average rate of change of the function f(x) on the interval -3 ≤ x ≤ 6

victus00 [196]

Answer:

Average ROC = 0

Step-by-step explanation:

Average ROC : (f(b) - f(a)) / (b - a) ... slope = (y'-y) / (x'-x)

a = -3 f(a) = 10 ... x=-3, y=10

b = 6 f(b) = 10 ... x'=6, y'=10

Average ROC = (10 - 10) / (6 - -3) = 0 / 9 = 0

4 0

2 years ago

How many solutions exist for the given equation?

Tpy6a [65]

Answer:

infinitely many

Step-by-step explanation:

12x + 1 = 3(4x + 1) - 2

Distribute

12x + 1 = 12x + 3 - 2

Combine like terms

12x+1 = 12x +1

Subtract 12x from each side

1 =1

Since this is always true, we have infinite solutions

4 0

2 years ago

Read 2 more answers

When the same whole number is added to both the numerator and denominator of $\frac{2}{5}$, the value of the new fraction is $\f

AVprozaik [17]

Answer:

Correct answer: x = 4

Step-by-step explanation:

If I saw your fractions right it's like this:

(2 + x) / (5 + x) = 2 / 3 => 3 (2 + x) = 2 (5 + x) => 6 + 3 x = 10 + 2 x

3 x - 2 x = 10 - 6 => x = 4

We will check

2 + 4 / 5+ 4 = 6 / 9

When we divide both numerator and denominator

with 3 we get 2/3

God is with you!!!

3 0

3 years ago