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3 years ago

Use the distributive property to simplify the expression 3(y + 9).

Mathematics

1 answer:

Nataliya [291]3 years ago

6 0

Answer:

The answer would be 3y + 27

Step-by-step explanation:

Distributing the 3 to y would multiply it together making it 3y. Distributing the 3 to the 9 would be 3x9 and be 27.

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2 2/3 multiplied by 5 4/5

grin007 [14]

$2 \frac{2}{3} = \frac{8}{3} 
$
$5 \frac{4}{5} = \frac{29}{5}$
$\frac{8}{3} * \frac{29}{5} =X$
Solve for X. What do you think the answer is based on that?

8 0

3 years ago

Graph the data below and then answer the questions that follow. year 1=$20,000, year 2=$21,750, year 3=$23,500, year 4=$25,250,

Mariana [72]

Answer:

Since the difference between the value for each year is constant, this is an arithmetic sequence.

Step-by-step explanation:

Year 2 - Year 1 = 21,750 - 20,000 = 1,750

Year 3 - Year 2 = 23,500 - 21,750 = 1,750

Year 4 - Year 3 = Year 5 - Year 4 = 1,750

3 0

2 years ago

Select the equivalent expression<br><br> y^-2 =

kumpel [21]

Answer:

=x^-2

Step-by-step explanation:

7 0

2 years ago

Inverse laplace of [(1/s^2)-(48/s^5)]

Katen [24]

**Refresh page if you see [ tex ]**

I am not familiar with Laplace transforms, so my explanation probably won't help, but given that for two Laplace transform $F(s)$ and $G(s)$ , then $\mathcal{L}^{-1}\{aF(s)+bG(s)\} = a\mathcal{L}^{-1}\{F(s)\}+b\mathcal{L}^{-1}\{G(s)\}$

Given that $\dfrac{1}{s^2} = \dfrac{1!}{s^2}$ and $-\dfrac{48}{s^5} = -2\cdot\dfrac{4!}{s^5}$

So you have $\mathcal{L}^{-1}\left\{\dfrac{1}{s^2} - 2\cdot\dfrac{4!}{s^5}\right\} = \mathcal{L}^{-1}\left\{\dfrac{1}{s^2}\right\} - 2\mathcal{L}^{-1}\left\{\dfrac{4!}{s^5}\right\}$

From Table of Laplace Transform, you have $\mathcal{L}\{t^n\} = \dfrac{n!}{s^{n+1}}$ and hence $\mathcal{L}^{-1}\left\{\dfrac{n!}{s^{n+1}}\right\} = t^n$

So you have $\mathcal{L}^{-1}\left\{\dfrac{1}{s^2}\right\} - 2\mathcal{L}^{-1}\left\{\dfrac{4!}{s^5}\right\} = \boxed{t-2t^4}$ .

Hope this helps...

7 0

3 years ago

Compare 7⁄8 with 14⁄16 using ( <, >, =). A. none of the above B. 7⁄8 > 14⁄16 C. 7⁄8 = 14⁄16 D. 7⁄8 < 14⁄16

Kryger [21]

7/8 = 0.875
14/16 = 0.875

Therefore, 7/8 = 14/16

7 0

2 years ago