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2 years ago

Given f"(x) = 2, f'(1)=4, and f(2)=-2, find f(x).

Mathematics

1 answer:

Anna [14]2 years ago

6 0

Answer:

Step-by-step explanation:

f"(x)=2

integrating

f'(x)=2x+c

f'(1)=2+c=4

c=4-2=2

f'(x)=2x+2

integrating

f(x)=2x^2/2+2x+a

f(x)=x^2+2x+a

f(2)=-2

(2)^2+2(2)+a=-2

4+4+a=-2

a=-2-8=-10

f(x)=x^2+2x-10

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9. The expression x(x-7)+4(x-7) is equivalent to each of the following except which choice?

Rus_ich [418]

Answer:

I the answer is number 3

x(x-7)+4(x-7)

x²-7x + 4x-28

=x²-3x-28

(x+4)(x-7)

x²-7x+4x-28

=x²-3x-28

(x-7)(x+4)

x²+4x-7x-28

=x²-3x-28

x2 – 3x – 28

the factored form is

=(x+4)(x-7)

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3 years ago

At a theme park, the admission price for children is $7 and the admission price for adults is $21. The total amount the theme pa

Gemiola [76]

Answer:

7x+21y=5439

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Step-by-step explanation:

it's pretty self explanatory, right?

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3 years ago

A pH of _____ is considered neutral. 2 14 7 0

irina [24]

Answer:

Ph of 7 is considered neutral.

Step-by-step explanation:

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4 years ago

Darryl left the White House and traveled toward the ferry office at an average speed of 25 mph. Some time later Jacob left trave

DanielleElmas [232]

Answer:

2 hours

Step-by-step explanation:

Given the following :

Darryl :

Speed = 25mph

Jacob:

Traveled in opposite direction

Speed = 35mph

After Darryl had traveled for 4 hours, Distance between them was 170 miles

Distance traveled by Darryl :

Speed * time = (25 * 4) = 100 miles

Total distance = distance traveled by Darryl + distance traveled by Jacob

170 miles = 100 miles + distance traveled by jacob

Distance traveled by Jacob = 170 - 100

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3 0

3 years ago

The drama club is printing t-shirts for its members. The printing company charges a certain amount for each shirt plus a setup f

Setler [38]

Answer: $7.

Step-by-step explanation:

It is given that the printing company charges a certain amount for each shirt plus a setup fee of $40.

Let x be the cost of each t-shirt.

There are 21 students in the drama club. So, total cost of 21 t-shirts is

$\text{Total cos}=40+21x$

It is given that the t-shirt order costs a total of $187.

$40+21x=187$

$21x=187-40$

$21x=147$

Divide both sides by 21.

$x=\dfrac{147}{21}$

$x=7$

Therefore, the cost of each t-shirt is $7.

4 0

3 years ago