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Deffense [45]
3 years ago
14

Consider a function of the form f(x) = 7x^2 + ax, where a is a real number. What is the difference quotient of f(x) for all nonz

ero values of h?
A. 7h + a

B. 14x + 7h

C. 7x + 7h + a

D. 14x + 7h + a
Mathematics
2 answers:
Tasya [4]3 years ago
8 0

Answer:

We select option D: 14 x + 7 h + a

Step-by-step explanation:

To find the difference quotient for h we do:

[f(x+h) - f(x) ] / h

that is:

[7 (x+h)^2 + a (x+h) - 7x^2 - a x] / h

[ 7 (x^2+ 2xh + h^2) - 7x^2 - a x] / h

[ 7 x^2 + 14 x h + 7 h^2 + ax + ah - 7 x^2 - a x] / h

cancel out terms:

[ 14 x h + 7 h^2 + ah] / h

14 x + 7 h + a

mihalych1998 [28]3 years ago
6 0

Answer:

c

Step-by-step explanation:

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Find the product : 2p (4p² + 5p + 7)
Ber [7]
<h3>Answer: 8p^3 + 10p^2 + 14p</h3>

Explanation:

The outer term 2p is distributed among the three terms inside the parenthesis. We will multiply 2p by each term inside

2p times 4p^2 = 2*4*p*p^2 = 8p^3

2p times 5p = 2*5*p*p = 10p^2

2p times 7 = 2*7p = 14p

The results 8p^3, 10p^2 and 14p are added up to get the final answer shown above. We do not have any like terms to combine, so we leave it as is.

6 0
3 years ago
Uni made a model of a 1970 Ford Mustang using a scale of .5 inches = 9 in. If the actual car is 15 ft long, how long is the mode
kykrilka [37]

Answer:

The model car is 10 inches long

Step-by-step explanation:

To solve this question, we use conversion of units

Feet to inches.

Each feet has 12 inches.

The car is 15ft long.

So the car has 15*12 = 180 inches.

.5 inches = 9 in.

Rule of three

.5 inches - 9 inches

x inches - 180 inches

9x = 180*0.5

9x = 90

x = \frac{90}{9}

x = 10

The model car is 10 inches long

7 0
3 years ago
How to rewrite√-49 -4 in complex number notation
stira [4]
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The ratio of the number of Sam's CDs to the number of Alice's CD's is 7 to 8. Sam has 84 CDS.
Alex

Answer:

180 CDs

Step-by-step explanation:

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3 years ago
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Answer:

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