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earnstyle [38]
2 years ago
5

Suppose you know that the volume of the following prism is represent by V(x) = -2x^3 + 14x^2 + 120x.

Mathematics
1 answer:
erastova [34]2 years ago
8 0

Step-by-step explanation:

-2x³ + 14x² + 120x

= -2x(x² - 7x - 60)

= -2x(x - 12)(x + 5).

The other 2 dimensions are -2x and (x + 5).

When using a graphing calculator to maximise the volume of the prism, we get x = 7.378. However this value is not reasonable as it makes -2x and (x - 12) negative, which are the sides of the prism.

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Car leases generally allow only a certain number of miles to be driven. Myung’s lease included a charge of 25 cents per mile for
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Answer:

36,000

Step-by-step explanation:

if you multiply 12,000 and 3 you get 36,000.

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3 years ago
Use complete sentences to describe the domain of the cosine function.
Hatshy [7]
The domain of a function is the set of the possible input values of the function. For example: consider the function f(x) = cos x, the domain of the function is the set of possible values of x.

The cosine function takes x values from all real numbers.

Therefore, the domain of the cosine function is a real numbers.
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3 years ago
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7 0
3 years ago
Answer a, b and c. See image below
dlinn [17]

Answer:

a) 3/5 < 4/5

b) In general if two fractions have the same denominator, then whichever fraction has the numerator closer to its denominator will be the largest fraction.

c)  \frac{7}{10} > \frac{9}{15}  <em>or</em>  \frac{7}{10}

Step-by-step explanation:

a) 3/5 < 4/5

Flip the sign and the placement of the fraction so 3/5 is less then 4/5.

b) In general if two fractions have the same denominator, then whichever fraction has the numerator closer to its denominator will be the largest fraction.

c) We need to change the denominators to a common denominator to compare the size of the two fractions:

\frac{7}{10} × \frac{3}{3} = \frac{21}{30}

\frac{9}{15} ×  \frac{2}{2} = \frac{18}{30}

The common denominators of the two fractions is 30. Comparing the two fractions:

\frac{21}{30} >\frac{18}{30}  <em>or</em>  \frac{18}{30}

so we get:  \frac{7}{10} > \frac{9}{15}  <em>or</em>  \frac{7}{10}

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2 years ago
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