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Mazyrski [523]
3 years ago
10

Which of the following expressions is equivalent to 18m - 12?

Mathematics
2 answers:
Colt1911 [192]3 years ago
6 0

Answer: D. 6(3m-2)

Step-by-step explanation: Factor 6 out of 18m-12.

Hope this helps you out.

Bas_tet [7]3 years ago
5 0

Answer:

6(3m-2)

Step-by-step explanation:

we have the expression:

18m - 12

and we can express the number 18 by its factors like this:

18=6*3

and also the number 12:

12=6*2

so in both numbers we have a common factor of 6:

6*3m-6*2

So we can factor the given expression by taking out the 6 of each coefficient, and we get the following:

6(3m-2)

which is the fourth option.

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3 years ago
1) f(x) = 2x + 4, g(x) = 4x2 + 1; Find (g ∘ f)(0).
Sholpan [36]

Answer:

<h2>(g \: \circ \: f)(0) = 17</h2>

Step-by-step explanation:

f(x) = 2x + 4

g(x) = 4x² + 1

In order to find (g ∘ f)(0) we must first find

(g ° f )(x)

To find (g ° f )(x) substitute f(x) into g(x) that's for every x in g(x) replace it with f(x)

That's

<h3>(g \: \circ \: f)(x) = 4( ({2x + 4})^{2} ) + 1 \\  = 4(4 {x}^{2}  + 16x + 16) + 1 \\  =  {16x}^{2}  + 64x + 16 + 1</h3>

We have

<h3>(g \: \circ \: f)(x) =  {16x}^{2}  + 64x + 17 \\</h3>

Now to find (g ∘ f)(0) substitute the value of x that's 0 into (g ∘ f)(0)

We have

<h3>(g \: \circ \: f)(0) = 16( {0})^{2}  + 64(0) + 17 \\</h3>

We have the final answer as

<h3>(g \: \circ \: f)(0) = 17</h3>

Hope this helps you

8 0
3 years ago
What is the rate of heat transfer required to melt 1-ton of ice at 32 F in 24 hours?
LiRa [457]

Answer:

3865.74 J/s

Step-by-step explanation:

mass of ice, m = 1 ton = 1000 kg

time , t = 24 hours

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Heat required to melt, H = m x L

where, m is the mass of ice and L be the latent heat of fusion

So, H = 1000 x 334000 = 334 xx 10^6 J

Rate of heat transfer = heat / time = \frac{334\times 10^{6}}{86400}

Rate of heat transfer = 3865.74 J/s

thus, the rate of heat transfer is 3865.74 J/s.

8 0
3 years ago
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Answer:

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sergiy2304 [10]
To solve for S, you would want to get rid of the denominator so multiply 360 onto both sides. then the equation is 360A=pi times r squared times S. Divide both sides by pi and r squared and you get S=360A/pi times r squared
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