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Deffense [45]
2 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]2 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]2 years ago
6 0

Answer:

c

Step-by-step explanation:

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There are 125 people in a sport centre. 59 people use the gym. 70 people use the swimming pool. 55 people use the track. 25 peop
klemol [59]

Answer:97/125

Step-by-step explanation:

“As illustrated in the Venn diagram,

We let

U=[The total number of people at the sport center]

This implies that,

n(U)=125

G=[Those who use the gym]

This implies that,

n(G)=59

P=[Those who use the pool]

This implies that,

n(P)=70

T=[Those who use the track]

This implies that,

n(T)=55

a=[Those who use the gym only]

This implies that,

n(a)=59-(6+11+19)=59-36=23

b=[Those who use the pool only]

This implies that,

n(b)=70-(6+19+24)=70-49=21

c=[Those who use the track only]

This implies that,

n(c)=55-(6+24+11)=55-31=14

Also, number of people who use gym and track=11+23+19+6+14+24=97”

8 0
2 years ago
Read 2 more answers
PLEASE HELP! What is the slope of the line that passes through the points below? (Enter your answer as a decimal if necessary.)
lozanna [386]

1

is the right answer.

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2 years ago
BIG POINTS Please solve. Thanks!
Nitella [24]

9^1/3 * 3^x = 27^4/5

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Use power rule to combine exponents:

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Rewrite the 2nd term:

3^(2/3 +x) = (3^3)^4/5

Set the exponents only to equal:

2/3 + x = 3(4/5)

Solve for x:

simplify the right side:

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slavikrds [6]
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