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Mademuasel [1]
3 years ago
5

Simplify the product. 8p(-3p^2+6p-2) Please show Step-by-Step

Mathematics
1 answer:
poizon [28]3 years ago
4 0

Answer:

<u>-24p^3 + 48p^2 -16p</u>

Step-by-step explanation:

Okay this isn't to hard for problems like this, you just have to multiply 8p to the numbers in the presentation so let's do it

8p*-3p^2= -24p^3

8*-3=-24

p*p^2=p^3

combine them both and get:

ans: -24p^3

8p*6p=48p^2

8*6=48

p*p=p^2

combine them both and get:

ans: 48p^2

8p*-2=-16p

8*2=-16

-16*p=-16p

ans:-16p

Then combine everything and get:<u>-24p^3 + 48p^2 -16p</u>

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Read 2 more answers
Please help Need help
Anettt [7]
This problem can be readily solved if we are familiar with the point-slope form of straight lines:
y-y0=m(x-x0) ...................................(1)
where 
m=slope of line
(x0,y0) is a point through which the line passes.

We know that the line passes through A(3,-6), B(1,2)

All options have a slope of -4, so that should not be a problem.  In fact, if we check the slope=(yb-ya)/(xb-xa), we do find that the slope m=-4.

So we can check which line passes through which point:

a. y+6=-4(x-3)
Rearrange to the form of equation (1) above,
y-(-6)=-4(x-3)  means that line passes through A(3,-6) => ok

b. y-1=-4(x-2) means line passes through (2,1), which is neither A nor B
   ****** this equation is not the line passing through A & B *****

c. y=-4x+6  subtract 2 from both sides (to make the y-coordinate 2)
   y-2 = -4x+4, rearrange
   y-2 = -4(x-1)  
   which means that it passes through B(1,2), so ok

d. y-2=-4(x-1)
   this is the same as the previous equation, so it passes through B(1,2), 
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Answer: the equation y-1=-4(x-2) does NOT pass through both A and B.
   
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3 years ago
Rewrite the expressions in each pair so that they have the same base. c) (1 /2)^2x and (1/ 4)^x - 1
just olya [345]
I'm not completely sure but this is what I would do.
evaluate <span>(1/ 4)^x - 1 </span>as is. But change the (1 /2)^2x to (2/4)^2x. This way both fractions have the same denominator and in this sense, the same base. The 2/4 base still evaluates into 1/2 so nothing, mathematically, is being broken here.
7 0
3 years ago
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