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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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Find EF in parallelogram CDEF.

Ne4ueva [31]

Answer:

Step-by-step explanation:

EF = CD

FC = DE These equal lines are properties of a parallelogram.

2y = 3y - 17 Add 17 to both sides

2y + 17 = 3y Subtract 2y from both sides.

2y-2y+17 =3y-2y

y = 17

CD = y + 43

CD = 17+43

CD = 60

Since CD = 60 then FE = 60

6 0

2 years ago

What's is 57 divided by 858 using partial quote

Elena L [17]

18r3. Sorry if I got it wrong but hopefully it is right.

5 0

3 years ago

PLEASEEEE HELP I NEED A ANSWER ASAP!!!!!!!

Licemer1 [7]

Answer:

520 - 303.93 - (10.99 * 4) - 25.25 - 73.43x ≥ 0

1) Parentheses

520 - 303.93 - 43.96 - 25.25 - 73.43x ≥ 0

2) Combine like terms

146.86 - 73.43x ≥ 0

3) Get the variable term alone

-73.43x ≥ -146.86

4) Divide to solve

x ≤ 2

** dividing by a negative number, the inequality sign flips **

ANSWER :

x ≤ 2

8 0

2 years ago

Read 2 more answers

Your mom's new car gets 32 miles per gallon and gasoline costs $1.99 per gallon. You are going to see Uncle buck for Christmas,

Mashcka [7]

The gas cost will be $19.53 for this trip.

Step-by-step explanation:

Given,

Distance covered by car per gallon = 32 miles

Cost of one gallon = $1.99

Unit rate in terms of miles;

32 miles = $1.99

1 mile = $\frac{1.99}{32}\ Dollars$

Therefore,

314 miles = Unit rate of mile * 314 miles

314 miles = $\frac{1.99}{32}*314$

$314\ miles = \frac{624.86}{32}\\\\314\ miles=\$19.526$

Rounding off to nearest hundredth;

314 miles = $19.53

The gas cost will be $19.53 for this trip.

Keywords: unit rate, multiplication

Learn more about unit rate at:

#LearnwithBrainly

6 0

3 years ago

Y varies directly with x. If y=25 when x=5, find y when x =-4<br><br>y =

alina1380 [7]

Answer:

y = -20

Step-by-step explanation:

Given that y varies directly with x it means changing x will also cause change in y

Mathematically it can be written as:

y∝x

Removing the proportionality symbol

y = kx

Given y=25 when x=5 Putting the values

$25 = k(5)\\k = \frac{25}{5}\\k = 5$

Now

$y = 5x$

We have to find the value of y when x = -4

Putting x=-4

$y = 5(-4)\\y = -20$

Hence,,

y = -20

7 0

2 years ago