4 years ago

Find an equivalent expression for each expression by simplifying

Mathematics

1 answer:

taurus [48]4 years ago

5 0

5. 7m+4

6. 18x+4y+9

8. 24f+3

9. x+22

11. 14c-2b+7

12. 2h+3k+14

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Simplify -3/4 ÷ 2/-8. (1 point)

Katarina [22]

Answer:

=3/1 or 3

Step-by-step explanation:

-3/4÷2/-8

=-3 × -8/4 × 2

=24/8

=24 ÷ 8/8 ÷ 8

=3/1

5 0

4 years ago

Find the average rate of change of f ( x ) = 3 x 2 − 9 on the interval [ 2 , b ] . Your answer will be an expression involving b

iVinArrow [24]

Answer:

$m = 3b+6$

Step-by-step explanation:

Given

$f(x)=3x^2 - 9$

Required

The average rate over $[2,b]$

Average rate (m) is calculated using:

$m = \frac{f(b) - f(a)}{b - a}$

Where

$[a,b] = [2,b]$

So, we have:

$m = \frac{f(b) - f(2)}{b - 2}$

Calculate f(b) and f(2)

$f(x)=3x^2 - 9$

$f(b)=3b^2 - 9$

$f(2)=3*2^2 - 9 = 12 - 9 = 3$

So, we have:

$m = \frac{f(b) - f(2)}{b - 2}$

$m = \frac{3b^2 - 9 - 3}{b - 2}$

$m = \frac{3b^2 - 12}{b - 2}$

Expand the numerator

$m = \frac{3b^2 + 6b-6b-12}{b - 2}$

Factorize

$m = \frac{b(3b + 6)-2(3b+6)}{b - 2}$

Factor out 3b + 6

$m = \frac{(b -2)(3b+6)}{b - 2}$

Cancel out b - 2

$m = 3b+6$

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3 years ago

Tom and Jack spend a certain amount of money from their accounts each week at a pet shelter.

miv72 [106K]

D) Function 2, because Jack spends $8 each week and Tom spends $7 each week

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4 years ago

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The ratio of people who walk home from school to people who ride the bus home is 2 : 7. The number of bus riders is how many tim

Strike441 [17]

The number of bus riders is 3.5 times the number of walkers.

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3 years ago

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suppose you drop a tennis ball from a height of 14 feet. After the ball hits the floor, it rebounds to 80% of its previous heigh

NemiM [27]

This is a geometric sequence of the form:

a(n)=ar^n, a=initial value, r=common ration, n=term number, if we relabel it for h(b) we have

h(b)=14(0.8^b)

h(3)=14(0.8^3)

h(3)≈7.2 ft (to nearest tenth of a foot)

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3 years ago