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Artyom0805 [142]
4 years ago
14

each song cost 2 dollars plus 5 dollars she has no more then 40 dollars to spend which inequality shows how many songs she can b

uy
Mathematics
1 answer:
alexgriva [62]4 years ago
6 0
What are the answer choices so i can see which one is right?
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(1 point) Consider the function f(x)=2x3−6x2−48x+5 on the interval [−4,10]. Find the average or mean slope of the function on th
andreyandreev [35.5K]

Answer:

The mean slope on the interval is 68

Step-by-step explanation:

The formula to find the mean slope on an interval [a, b] is given by:

\frac{f(b)-f(a)}{b-a}

So now, we are going to find f(10) and f(-4) and will substitute these values in the formula.

f(10)=2(10)^{3} -6(10)^{2} -48(10)+5\\f(10) =2(1000)-6(100)-480+5\\f(10)=2000-600-480+5\\f(10)=925\\\\f(-4)=2(-4)^{3} -6(-4)^{2} -48(-4)+5\\f(-4)=2(-64)-6(16)+192+5\\f(-4)=-128-96+192+5\\f(-4)=-27

So the mean slope of the function on the interval [-4,10] is:

\frac{f(10)-f(-4)}{10-(-4)} =\frac{925-(-27)}{14} =\frac{925+27}{14} =\frac{952}{14} =68

8 0
3 years ago
Simplify -12x^4/x^4+8x^5
alexgriva [62]

Answer:

OPTION A: $ \frac{12}{1 + 8x} $, where $ x \ne - \frac{1}{8} $.

Step-by-step explanation:

Given: $ \frac{- 12x^4}{x^4 + 8x^5} $

Taking $ x^4 $ common outside in the denominator, we get:

$ = \frac{-12x^4}{(x^4)(1 + 8x)} $

$ x^4 $ will get cancelled on the numerator and denominator, we get:

$ = \frac{-12}{1 + 8x} $

we know that the denominator can not be zero.

That means, 1 + 8x $ \ne $ 0.

$ \implies 8x \ne -1 $

$ \implies x \ne \frac{-1}{8} $

So, the answer is: $ \frac{-12}{1 + 8x} $, where $ x \ne \frac{-1}{8} $.

6 0
3 years ago
Write the phrase as an expression. Then evaluate when x=5. The sum of a number x and 4, all divided by 3
frozen [14]
Sum of a number, x and 4 all divided by 3

sum of x and 4 means x+4
all divided by 3
\frac{x+4}{3}
evaluate for x=5

\frac{5+4}{3}=
\frac{9}{3}=
3

it's 3
3 0
4 years ago
Read 2 more answers
How do you find the solution of this proportion?<br> 4/9 = m2-1/54 <br> m2 is m to the power of 2
elena-14-01-66 [18.8K]

Answer:

±5sqrt(6)/6 = m

Step-by-step explanation:

4/9 = m^2-1/54

Add 1/54 to both sides

4/9+ 1/54 = m^2-1/54 +1/54

4/9+ 1/54 = m^2

Get a common denominator of 54

4/9 *6/6 + 1/54 = m^2

24/54 + 1/54 = m^2

25/54 = m^2

Take the square root of each side

±sqrt(25/54) = sqrt(m^2)

±sqrt(25/54) = m

±sqrt(25)/sqrt(54) = m

±sqrt(25)/sqrt(9)sqrt(6) = m

±5/3sqrt(6) = m

±5/3sqrt(6) *sqrt(6)/sqrt(6) = m

±5sqrt(6)/3*6 = m

±5sqrt(6)/6 = m

8 0
3 years ago
SOMEONE, PLEASE ANSWER ALL OF THESE PLEASE WHOEVER ANSWERS THEM ALL FIRST WILL GET BRAINLIEST
marissa [1.9K]
The answer to 10 is 17x^2y^3
3 0
3 years ago
Read 2 more answers
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