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leonid [27]
3 years ago
7

Factor the expression. 4d + 12

Mathematics
1 answer:
krek1111 [17]3 years ago
8 0
4d + 12 = 4(d + 3)Basically, you just need to determine what 4d and 12 have in common.  In this case, they both divide evenly by 4. Therefore 4 (d + 3) = 4d + 12 according to the distributive property.

hope it helps!

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If 3^-x=2 what does 3^2x equal?
marissa [1.9K]

Answer:

nice question...

so here we go

3^ -x = 1 / 3^x

so 1/ 3^x = 2 so 3^x = 1/2

we can write 3^2x as 3^x multiplied by 3^x right?..(law of exponents)

recall that 3^x =1/2

so now according to question we have to find the value of 3^2x =  1/2 * 1/2 = 1/4

Step-by-step explanation:

7 0
3 years ago
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A fleet of nine taxis is to be dispatched to three airports in such a way that three go to airport a, five go to airport b, and
krok68 [10]

A fleet of nine taxis is to be dispatched to three airports in such a way that three go to airport A, five go to airport B, and one goes to airport C. In how many distinct ways can this be accomplished?

2.44) Refer to Exercise 2.43. Assume that taxis are allocated to airports at random.

a) If exactly one of the taxis is in need of repair, what is the probability that it is dispatched to airport C?

b) If exactly three of the taxis are in need of repair, what is the probability that every airport receives one of the taxis requiring repairs?

So, my answer to 2.44a is 1/9. Hopefully this is correct at least :)

For 2.44b, my guess was

(3C1)(1/3)(2/3)2 * (5C1)(1/3)(2/3)4 * 1/3

The solutions manual on chegg (which seems to be riddled with errors) says something completely different. Is my calculation correct?

8 0
3 years ago
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What is the mode of this data set? (41,43,3,11,23,24,27,29,45,12,19,22,25)
kodGreya [7K]

Answer:

no mode

Step-by-step explanation:

there is no mode in this data set

this is because there is no number that repeats itself making no number have more quantities than another number

7 0
2 years ago
Given the function f(x) = 4x - 2, explain and show how to find the average rate of change between x = 2 and x = 4.
zalisa [80]

Answer:

The average rate of change between x = 2 and x = 4 is of 4.

Step-by-step explanation:

Average rate of change:

The average rate of change of a function f(x) in an interval [a,b] is given by:

A = \frac{f(b)-f(a)}{b-a}

In this question:

f(x) = 4x - 2, b = 4, a = 2

Thus:

f(b) = f(4) = 4(4) - 2 = 16 - 2 = 14

f(a) = f(2) = 4(2) - 2 = 8 - 2 = 6

Average rate of change:

A = \frac{f(b)-f(a)}{b-a}

A = \frac{14-6}{4-2}

A = \frac{8}{2}

A = 4

The average rate of change between x = 2 and x = 4 is of 4.

7 0
3 years ago
50:33
zysi [14]
<h3>♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫</h3>

➷  In triangles, the longest length would be the hypotenuse.

The rule for Pythagoras states that a^2 + b^2 = c^2

[where c is the hypotenuse]

Therefore, the correct option would be

"No, Ariel should have added 9^2 and 12^2 and compared that to 15^2.

<h3><u>✽</u></h3>

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

4 0
3 years ago
Read 2 more answers
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