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Musya8 [376]
3 years ago
11

What is the product of (2p + 7)(3p2 + 4p – 3)?

Mathematics
2 answers:
sveticcg [70]3 years ago
8 0

Answer:

6p^{3} +29p^{2} +22p-21

Step-by-step explanation:

This is a polynomial product where we have to apply distributive property and exponent properties (image is attached).

So, applying distributive property:

(2p + 7)(3p^{2}  + 4p-3)\\6p^{3}+8p^{2}-6p+21p^{2}+28p-21

Then, we reduce like terms:

6p^{3} +29p^{2} +22p-21

<h3><em>Therefore, the product is </em></h3>

6p^{3} +29p^{2} +22p-21

liraira [26]3 years ago
5 0
(2p + 7)(3p^2 + 4p - 3) = 2p(3p^2 + 4p - 3) + 7(3p^2 + 4p - 3) =
6p^3 + 8p^2 - 6p + 21p^2 + 28p - 21 =
6p^3 + 29p^2 + 22p - 21 <===
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The image of the point (3, -4) under a translation is (0, –5). Find the coordinatesof the image of the point (8,7) under the sam
Sav [38]

We will have the following:

*First: We determine the translation rule:

We have that the point went from (3, -4) to (0, -5), thus the translation rule would be:

(x,y)\to(x-3,x-1)

Second: We apply the translation rule to the other point to determine it's image, that is:

(8,7)\to(8-3,7-1)\to(5,6)

So, the image of the second point is (5, 6).

6 0
1 year ago
when the intreast earned is $27, the intreast rate is 1.5%, and the time is 2 years, what is the principal
Nikolay [14]

Answer:

27

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
35 points<br> What is an approximate average rate of change of the graph from x = 8 to x = 13
Ghella [55]
Rate of change is -2 because you can do rise over run to find the constant rate of change, and since you are going down you have a negative slope. 
4 0
3 years ago
Is this right ? Im honestly confused
fgiga [73]

Answer:

In step by step

Step-by-step explanation:

For #1, everything is perfect.

For #2, you wrote your functions out incorrectly, but your x input and y output are correct

#3 is a little messed up.

Your function is f(x)=-3x+1. Your given x's are -3, -1, 0, 1, 2, and 3. Plug all of these in.

1. f(-3)=-3(-3)+1

  • f(-3)=9+1
  • f(-3)=1

2. f(-1)=-3(-1)+1

  • f(-1)=3+1
  • f(-1)=4

3. f(0)=-3(0)+1

  • f(0)=0+1
  • f(0)=1

4. f(1)=-3(1)+1

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5. f(2)=-3(2)+1

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3 0
3 years ago
3x^3 - 2y^-6x^2y^2+xy for x=2/3 and y=1/2
Dominik [7]

Answer:

-13

Step-by-step explanation:

3x^3 - 2y^-6x^2y^2+xy

x=2/3 and y=1/2

Solve :

3x^3 - 2y^-6x^2y^2+xy

Put value of x and y in this equation

= 3(2/3)^3 - 2(1/2)^-6(2/3)^2(1/2)^2+(2/3)(1/2)

= -13

4 0
3 years ago
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