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Brrunno [24]
3 years ago
7

Simplify (5p-3p^3) - (p^3-3p+5)

Mathematics
2 answers:
nalin [4]3 years ago
8 0
I hope this helps you 5p-3p^3-p^3+3p-5 8p-4p^3-5
blagie [28]3 years ago
3 0
-4p^3+8p-5
the negative in front of the parenthesis, changes the signs inside the parenthesis, therefore changing it to (5p-3p^3-3^3+3p-5) then you combine like terms which is how you come up with -4p^3+8p-5
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Brian is riding his bike. He biked a distance of 14 miles at a rate of 14 miles per hour. Rearrange the distance formula, d = rt
galina1969 [7]

Answer:

60 minutes

Step-by-step explanation:

The distance formula is:

D = RT

Where

D is distance (in miles)

R is rate (in miles per hour)

T is time (in minutes)

Given,

D = 14 miles

R = 14 miles per hour

We want to find T, so we have:

D=RT\\T=\frac{D}{R}\\T=\frac{14}{14}\\T=1

So the time is 1 hour

We want in minutes, and we know 60 minutes is 1 hour, so the time (in minutes) is 60 minutes

5 0
3 years ago
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What are the value of x, y, and z, respectively?
EleoNora [17]

Answer:

y = 107 x = 73 and z = 73 degrees

Step-by-step explanation:

All of the angles have to equal 360 when added together and y has to correspond to 107 then those add to 214 then you subtract that from 360 to get 146 then you split that in half to get the x and z

8 0
3 years ago
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Trevor bought a large container of 36 pretzel snack bags for $14.04. What is the cost of each snack bag?
dezoksy [38]

Answer:

$0.39 per bag

Step-by-step explanation:

$14.04 ÷36 = $0.39 per bag

5 0
3 years ago
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Evaluate the function f(x) = –2x2 – 3x + 5 for the input value –3.
Elza [17]

Answer:

10

Step-by-step explanation:

-2*2-3x+5=f(x)

-2*2-3(-3)+5=f(x)

-4+9+5=f(x)

5+5=f(x)

10=f(x)

3 0
3 years ago
Suppose that we don't have a formula for g(x) but we know that g(3) = −5 and g'(x) = x2 + 7 for all x. (
True [87]
So it tells us that g(3) = -5 and g'(x) = x^2 + 7.

So g(3) = -5 is the point (3, -5)
Using linear approximation
g(2.99) is the point (2.99, g(3) + g'(3)*(2.99-3))

now we just need to simplify that
(2.99, -5 + (16)*(-.01)) which is (2.99, -5 + -.16) which is (2.99, -5.16)
So g(2.99) = -5.16 

Doing the same thing for the other g(3.01)
(3.01, g(3) + g'(3)*(3.01-3))
(3.01, -5 + 16*.01) which is (3.01, -4.84)
So g(3.01) = -4.84

So we have our linear approximation for the two. 

If you wanted to, you could check your answer by finding g(x).  Since you know g'(x), take the antiderivative and we will get 
g(x) = 1/3x^3 + 7x + C
Since we know g(3) = -5, we can use that to solve for C
1/3(3)^3 + 7(3) + C = -5 and we find that C = -35
so that means g(x) = (x^3)/3 + 7x - 35

So just to check our linear approximations use that to find g(2.99) and g(3.01)

g(2.99) = -5.1597
g(3.01) = -4.8397

So as you can see, using the linear approximation we got our answers as
g(2.99) = -5.16
g(3.01) = -4.84
which are both really close to the actual answer.  Not a bad method if you ever need to use it. 
5 0
4 years ago
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