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2 years ago

I need help someone help me please <3

Mathematics

1 answer:

ElenaW [278]2 years ago

4 0

Answer:

$y=-\frac{3}{2}x-2$

Step-by-step explanation:

using the y=mx+b equation, where m=slope and b=y-intercept, we can place our known slope and y-intercept to form our answer, $y=-\frac{3}{2}x-2$ :-) hope this helped!

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irina [24]

Option D:

$\left(y^{2}+3 y+7\right)\left(8 y^{2}+y+1\right)=8 y^{4}+25 y^{3}+60 y^{2}+10y+7$

Solution:

Given expression is $\left(y^{2}+3 y+7\right)\left(8 y^{2}+y+1\right)$ .

<u>To find the product of the expression:</u>

$\left(y^{2}+3 y+7\right)\left(8 y^{2}+y+1\right)$

Multiply each term of the first term with each term of the 2nd term.

$=y^{2}\left(8 y^{2}+y+1\right) +3 y\left(8 y^{2}+y+1\right) +7\left(8 y^{2}+y+1\right)$

Using the exponent rule: $a^m \cdot a^n = a^{m+n}$

$=\left(8 y^{4}+y^3+y^2\right) +\left(24 y^{3}+3y^2+3y\right) +\left(56 y^{2}+7y+7\right)$

$=8 y^{4}+y^3+y^2+24 y^{3}+3y^2+3y+56 y^{2}+7y+7$

Arrange the terms with same power.

$=8 y^{4}+y^3+24 y^{3}+y^2+3y^2+56 y^{2}+7y+3y+7$

$=8 y^{4}+25 y^{3}+60 y^{2}+10y+7$

Hence option D is the correct answer.

$\left(y^{2}+3 y+7\right)\left(8 y^{2}+y+1\right)=8 y^{4}+25 y^{3}+60 y^{2}+10y+7$

6 0

3 years ago

The sum of three consecutive natural numbers is 540, find the numbers.

vladimir1956 [14]

Answer:

179, 180, 181

Step-by-step explanation:

a +a +1 +a +2 =540

3a +3 =540

3a =540 - 3

3a=537

a=537 :3

a=179 (the first number

b=179 +1 =180 (the second number

c=179 +2 =181 (the third number

5 0

3 years ago

How do I solve all this

Cerrena [4.2K]

Number five is .45 repeating

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2 years ago

Which is a simplified form of the following expression? 6c^2+2.5d - d + 2c^2-3d

melisa1 [442]

By collecting like terms we have:

$6 {c}^{2} + 2 {c}^{2} + 2.5d - d - 3d \\ \\ 8 {c}^{2} - 1.5d$

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2 years ago

tony buy 3 packages of gum. each package has 5 packs of gum.each pack of gumhas 10 pieces in it how many pieces of gum are in al

marin [14]

1 pack has 5 seperate packs, each with 10 pieces
=>50 pieces
50*3=150 pieces of gum

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3 years ago