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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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A line passes through the point (2 comma negative 2 comma 10 )​, and is parallel to the vector 9 Bold i plus 7 Bold j plus 10 Bo
lyudmila [28]

Title:

<h2>The standard parametric equation for the line is \frac{x - 2}{9} = \frac{y + 2}{7} = \frac{z - 10}{10}.</h2>

Step-by-step explanation:

The standard parametric equation for a line generally represented as \frac{x - a}{l} = \frac{y - b}{m} = \frac{z - c}{n}; where (a, b, c) is the point that the line passes through and (l, m, n) is the direction vector of the line.

It is given that the line passes through the point (2, -2, 10).

Hence, here (a, b, c) ≡ (2, -2, 10).

Similarly, the direction vector of the line is given by (l, m, n) ≡ (9, 7, 10).

Putting all the values in the equation of the line, the equation becomes

\frac{x - 2}{9} = \frac{y + 2}{7} = \frac{z - 10}{10}.

3 0
3 years ago
PLZZZZ HELP GIVE ALL POINTS I HAVE
Amanda [17]

Answer:

1/4

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
I need help I’m in math class! Help please
AVprozaik [17]

Answer:

1350π cm^3 should be your answer

Step-by-step explanation:

15 x 15 x π = 225π

225π x 6 = 1350π

7 0
3 years ago
How to answer <br> 100x^2+60x+9
iVinArrow [24]

Answer:

Step-by-step explanation:

Rewrite

100

x

2

100

x

2

as

(

10

x

)

2

(

10

x

)

2

.

(

10

x

)

2

+

60

x

+

9

(

10

x

)

2

+

60

x

+

9

Rewrite

9

9

as

3

2

3

2

.

(

10

x

)

2

+

60

x

+

3

2

(

10

x

)

2

+

60

x

+

3

2

Check the middle term by multiplying

2

a

b

2

a

b

and compare this result with the middle term in the original expression.

2

a

b

=

2

⋅

(

10

x

)

⋅

3

2

a

b

=

2

⋅

(

10

x

)

⋅

3

Simplify.

2

a

b

=

60

x

2

a

b

=

60

x

Factor using the perfect square trinomial rule

a

2

+

2

a

b

+

b

2

=

(

a

+

b

)

2

a

2

+

2

a

b

+

b

2

=

(

a

+

b

)

2

, where

a

=

10

x

a

=

10

x

and

b

=

3

b

=

3

.

(

10

x

+

3

)

2

3 0
2 years ago
Describe the relationship between n and 4 that will make the value of the expression 7xn4greater than7
valina [46]

Answer:

As per the statement: the value of the expression 7 x n/4 greater than 7.

To describe the relationship between n and 4.

"greater than" symbol is represented by '>'

The value of expression 7 \times \frac{n}{4} grater than 7 is;

7(\frac{n}{4}) > 7

Divide by 7 both sides we get;

\frac{n}{4} > 1

Multiply both sides of an equation by 4 we get;

n > 4

Therefore, the relationship between n and 4 is, n > 4



8 0
3 years ago
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