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den301095 [7]
3 years ago
5

Find the derivative of f(x) = -2x2 + 11x at x = 9.

Mathematics
1 answer:
Marianna [84]3 years ago
8 0

Answer:

The value of the derivative at x = 9 is -25

Step-by-step explanation:

Here in this question, we are told to find the derivative of the given equation at the point where x = 9

What we need to do here is simply, differentiate f(x), then substitute that value x = 9 into the differentiated equation

In notation form, what we are to find is f’(9)

So;

f(x) = -2x^2 + 11x

f’(x) = -4x + 11

So therefore;

f’(9) = -4(9) + 11

f’(9) = -36 + 11

f’(9) = 11-36

f’(9) = -25

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15 players two coaches and 21 parents attend this year sports banquet the cost of each meal was $12 +5% sales tax what was the t
Artist 52 [7]

Answer:

$478.80

Step-by-step explanation:

We have been given that 15 players two coaches and 21 parents attend this year sports banquet the cost of each meal was $12 plus 5% sales tax.

First of all, we will find cost of each meal with tax as:

\text{Cost of each meal with tax}=\$12+\$12\times \frac{5}{100}

\text{Cost of each meal with tax}=\$12+\$12\times 0.05

\text{Cost of each meal with tax}=\$12+\$0.6

\text{Cost of each meal with tax}=\$12.6

Now, we will find total persons at the sport banquet as:

\text{Total persons at banquet}=15+2+21

\text{Total persons at banquet}=38

To find the total cost of food for the banquet, we will multiply cost of food for each person by 38.

\text{Total cost of food for the banquet}=\$12.6\times 38

\text{Total cost of food for the banquet}=\$478.8

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5 0
3 years ago
If
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Q(x)=4x2-3x3+8x is it a cubic trinomial​
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Answer:

Yes

Answer:    x = 0

Step-by-step explanation:

Yes it is.

Down is the answer how to solve this equation and the steps.

Step  1  :

Equation at the end of step  1  :

 qx -  (((4 • (x2)) -  3x3) +  8x)  = 0  

Step  2  :

Equation at the end of step  2  :

 qx -  ((22x2 -  3x3) +  8x)  = 0  

Step  3  :

Step  4  :

Pulling out like terms :

4.1     Pull out like factors :

  qx + 3x3 - 4x2 - 8x  =  

 x • (q + 3x2 - 4x - 8)  

Equation at the end of step  4  :

 x • (q + 3x2 - 4x - 8)  = 0  

Step  5  :

Theory - Roots of a product :

5.1    A product of several terms equals zero.  

When a product of two or more terms equals zero, then at least one of the terms must be zero.  

We shall now solve each term = 0 separately  

In other words, we are going to solve as many equations as there are terms in the product  

Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation :

5.2      Solve  :    x = 0  

 Solution is  x = 0

Solving a Single Variable Equation :

5.3     Solve   q+3x2-4x-8  = 0

In this type of equations, having more than one variable (unknown), you have to specify for which variable you want the equation solved.

Answer:  x = 0

Hope this helps.

7 0
3 years ago
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