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Romashka [77]
3 years ago
12

Rewrite each expression by factoring out the greatest common factor 9b+12

Mathematics
1 answer:
kompoz [17]3 years ago
8 0

Answer:

  3(3b +4)

Step-by-step explanation:

The greatest common factor (GCF) of 9 and 12 is 3, so you're being asked to factor that out.

  9b +12 = 3(3b +4)

_____

The GCF can be found a couple of ways. One of them is to list the prime factors and identify those that are common.

  9b = 3 × 3 × b

  12 = 2 × 2 × 3

For these two terms, the only common factor is 3.

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For each formula,rearrange so a is by itself:
vichka [17]

Step-by-step explanation:

a) 6-9b=3a

First:Subtract

3b=3a

Second: Devide

3b/3a

=(3÷3)(b÷a)

=1b/a

= b/a

B) 6b+2a=3a

First:Transpose (Group the like terms. signs will change.)

-3a+2a=-6b

=-1a=-6b

Second:Divide

=-1a/-6b:(-1÷-6)(a÷b)

=1a/6b

=a/6b

C)a/3=b+2

First: Transpose

a=3+2+b

=a/6+b

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3 years ago
If a hospital patient is given 50 milligrams of medicine which leaves the bloodstream at 10% per hour, how many milligrams of me
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A(t) = 50 e^-(0.1 x 6) = 50 e^-0.6 = 50 x 0.5488 = 27.44 mg
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ratelena [41]

Answer:

Numer 1

A) (-5, -4), (-4, -3), (-3, -2), (-2, -1) Is a function

Number 2

C) (-5, -1), (-2, -1), (1, -1), (4, -1) is a function

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In ΔLMN, the measure of ∠N=90°, the measure of ∠M=70°, and NL = 74 feet. Find the length of MN to the nearest tenth of a foot.
Zina [86]

Answer:26.9 feet

Step-by-step explanation:

SOH-CAH-TOA

\tan M = \frac{\text{opposite}}{\text{adjacent}}=\frac{74}{x}

tanM=

adjacent

opposite

​

=

x

74

​

\tan 70=\frac{74}{x}

tan70=

x

74

​

x\tan 70=74

xtan70=74

Cross multiply.

\frac{x\tan 70}{\tan 70}=\frac{74}{\tan 70}

tan70

xtan70

​

=

tan70

74

​

Divide each side by tan 70.

x=\frac{74}{\tan 70}=26.9338\approx 26.9\text{ feet}

x=

tan70

74

​

=26.9338≈26.9 feet

Type into calculator and roundto the nearest tenth of a foot.

L

M

N

74

26.9

(opposite of ∠M)

(adj. to ∠M)

(hypotenuse)

70°

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