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artcher [175]
3 years ago
11

Let f be the function given by f(x)=5x^3 - 3x - 7. What is the value of f’(-2)?

Mathematics
2 answers:
Ainat [17]3 years ago
8 0

Answer:

D. 57

Step-by-step explanation

f(x)=5x^3 - 3x - 7 \\  \\ f'(x) = 5 \times 3 {x}^{2}  - 3 \times 1 - 0 \\  \\ f'(x) = 15 {x}^{2}  - 3  \\  \\ plug \: x =  - 2 \\ f'( - 2) = 15 {( - 2)}^{2}  - 3  \\  \\ f'( - 2) = 15  \times 4  - 3  \\  \\f'( - 2) = 60  - 3  \\  \\f'( - 2) = 57  \\  \\

lesantik [10]3 years ago
4 0

letter c is the correct answer

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Suppose y varies inversely with X, and y = 48 when x = 3. What is the value of x when y = 24?
olganol [36]

Answer:

C. 6

Step-by-step explanation:

Recall that inverse variation is given by:

\displaystyle y=\frac{k}{x}

Where <em>k</em> is the constant of variation.

We know that <em>y</em> = 48 when <em>x</em> = 3. Substitute:

\displaystyle (48)=\frac{k}{(3)}

Solve for <em>k: </em>

<em />k=3(48)=144<em />

<em />

Hence, our equation is:

\displaystyle y=\frac{144}{x}

We want to find <em>x</em> when <em>y</em> = 24. Substitute:

\displaystyle \frac{24}{1}=\frac{144}{x}

Cross-multiply:

24x=144

Divide both sides by 24. Hence:

x=6

Our answer is C.

3 0
3 years ago
A ramp was constructed to load a truck. If the ramp is 10 feet long and the horizontal distance from the bottom of the ramp to t
NeX [460]

Pythagoras theorem is a basic relationship in geometry between the three sides of a right triangle. The height from the ground to the top of the ramp 6. 0 ft. Option D is correct.

<h3>What is the  Pythagoras theorem?</h3>

Pythagoras theorem is a basic relationship in geometry between the three sides of a right triangle.

It indicates that the area of the hypotenuse square is equal to the sum of the areas of the squares on the other two sides.

The given data in the problem will be;

L is the length of ramp=  10 feet

x is the horizontal distance from the bottom of the ramp = 8 feet

h is the height from the ground to the top of the ramp=?

According to Pythagoras theorem,

\rm H^2=P^2+B^2 \\\\  \rm l^2=h^2+X^2 \\\\ \rm 10^2=h^2+8^2 \\\\ \rm h=\sqrt{100-64 }  \\\\ \rm h=36 \\\\  \rm h=6 ft

Hence the height from the ground to the top of the ramp 6. 0 ft. Option D is correct.

To learn more about the  Pythagoras theorem refer to the link;

brainly.com/question/343682

8 0
2 years ago
The foot of a ladder is placed 5 feet from a building. The top of the ladder rests
bonufazy [111]
13ft you would do 5^2+12^2 with a answer of 169 then you do the square root of that to get 13
7 0
3 years ago
Find the area of the trapezoid <br>5,4,9<br> please help
nikdorinn [45]
The answer to your question is 40.5 units.
6 0
3 years ago
4 packs of sugar cost at 796 centre calculate how much 7 packet of sugar will cost ​
Law Incorporation [45]

7 packs will cost 1393

Step-by-step explanation:

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7 0
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