If f(x + 2) = 2x + 3 then find f-'(4).​

Answers

Answer 1

Given:

The function is

[tex]f(x+2)=2x+3[/tex]

To find:

The value f'(4).

Solution:

We have,

[tex]f(x+2)=2x+3[/tex]

Putting [tex]x+2=t[/tex] and [tex]x=t-2[/tex] we get

[tex]f(t)=2(t-2)+3[/tex]

[tex]f(t)=2t-4+3[/tex]

[tex]f(t)=2t-1[/tex]

Differentiate with respect to t.

[tex]f'(t)=2(1)-0[/tex]

[tex]f'(t)=2[/tex]

At [tex]t=4[/tex], we get

[tex]f'(4)=2[/tex]

Therefore, the value of f'(4) is 2.


Related Questions

please help i’m not tryna fail algebra i can’t figure this out(solve by substitution and show steps please)

Answers

Answer:

y=8-6x

Step-by-step explanation:

Answer:

y=0

x=4/3

Step-by-step explanation:

6x+y=8

x =8-y/6

substitute 8-y/6 in second equation

42*8-y/6 +7y=56

7(8-y) +7y=56

56-y+ 7y=56

-y+ 7y=0

6y=0

y=0

6x+y=8

6x+0=8

x=8/6

x=4/3

Give three Consecutive iintegers in descending order such that (-4) is the smallest​

Answers

Answer:

-2, -3, -4

Step-by-step explanation:

Three consecutive integers in descending order are:

-2 > -3 > -4

55 employees increased by 20 percent
please help!​

Answers

Answer:

I believe its 66

Step-by-step explanation:

55×20%=11

55+11=66

Yes, I do believe also that it is 66 the guy up top is right in my opinion

Multiply.

Answer as a fraction. Do not include spaces in your answer.

Answers

What is the equation? By mistake you must have not added it

Answer:

Multiply what?

Step-by-step explanation:

Somebody please help me

Answers

Answer:

169 [tex]cm^2[/tex]

Step-by-step explanation:

The surface area is the two-dimensional distance around a figure. In essence, if one was going to wrap the figure in paper, the surface area would be the amount of paper one would need. To find the surface area, one would have to find the area of each individual face, and add up the values.

(7) * (5) = (35)

(9) * (5) = (45)

(7) * (5) = (35)

([tex]\frac{1}{2}[/tex]) * (6) * (9) = (27)

([tex]\frac{1}{2}[/tex]) * (6) * (9) = (27)

Add up all of the values:

(35) + (45) + (35) + (27) + (27) = 169

Jason bought a total of 20 medium and large pumpkins. If he bought 6 more large pumpkins as medium pumpkins, how many large pumpkins did he buy?

Answers

Answer:

26 large pumpkins

Step-by-step explanation:

HELPP ME PLEASE ITS DUE TODAYY!!!!!

Answers

Answer:

add a point 4 units to the left

Step-by-step explanation:

Answer:

Add a point 5.5 units right of 1

Step-by-step explanation:

I used a ruler, and found out that the distance between 0 and 1 is 1cm.  The distance between 0 and x is 2.5cm.  Since x is to the left of 0, x = 2.5.

4 - -2.5 = 4 + 2.5 = 6.5, or 6.5 units right of 0, which is the same as 5.5 units right of 1.

£760 is divided between Stephen, Bridget & Caroline so that Stephen gets twice as much as Bridget, and Bridget gets three times as much as Caroline. How much does Bridget get? £

Answers

Answer:  Out of £750 and 3 bums

Caroline = 225

Bridget = 225 * 3 = 675

Step-by-step explanation:

Answer:

£228

Step-by-step explanation:

Given:

Total = £760Stephen = s, Bridget = b, Caroline = c

We have equations:

s + b + c = 760b = 3cs = 2b

Substitute s with b and b with c as above into first equation:

2(3c) + 3c + c = 7606c + 4c = 76010c = 760c = 76

Find b:

b = 3*76 = 228

Bridget gets £228

6. Find the values of x and y.
Drawing not to scale

Answers

Answer:

y=31°

x=90

step

y=180-59-90

=31

x=90

y = 31 °
x = 90 °




∠B = ∠C = 59 °

∠A = 180 ° - 59 ° - 59 ° = 62 °

∠A is divided into 2 parts (y° and another point):
= 62 ° ÷ 2

= 31 °


y = 31 °


x = 180 ° - 31 ° - 59 °

x = 90°


The area of a triangle is 2x^2 - 11x + 15 square meters. The length of the base of the triangle is 2x-5
meters. What is the height of the triangle?

Answers

Answer:

of triangle =12base×height

Area of triangle =2x2−11x+15

base =2x−5

Plugging in the given;

2x2−11x+15=12(2x−5)×height

2x2−11x+15=2x−52×height

2x2−11x+151=2x−52×height

2(2x2−11x+15)=(2x−5)×height

4x2−22x+30=(2x−5)×height

4x2−22x+302x−5=height

Resolving the quadratic equation;

(4x2−22x+30)

Simplifying;

4x

Answer:

2x-6

Step-by-step explanation:

height : 2(2x^2-11x+15)/(2x-5)

(4x^2-22x+30)/(2x-5)

Δ/4 = 121 - 120 = 1

x1 = (11+1)/4 = 3

x2 = (11-1)/ 4 = 5/2

4(x-5/2)(x-3)

(4x-10)(x-3)/(2x-5)

2(2x-5)(x-3)/(2x-5)

2x-6

Proof

(2x-6)(2x-5)/2

2(x-3)(2x-5)/2

2x^2-5x-6x+15

2x^2-11x + 15

Status
eview
А
D
C
ZABC is bisected by BD. If m2DBC = 65°,
then m ABC = [ ? °
Enter
I’ll mark whoever helps brainliest

Answers

I think this is 115 please don’t mark my word on this

James has dimes and quarters saved up in his change jar. He has a total of 162 coins totaling $31.20. James has dimes

Answers

The question is incomplete:

James has dimes and quarters saved up in his change jar. He has a total of 162 coins totaling $31.20 what is the total amount james has in quarters?

a. $10.00

b. $6.20

c.$15.50

d.$25.00

Answer:

d.$25.00

Step-by-step explanation:

With the information provided, you can write the following equations given that dimes are equal to 0.10 and quarters to 0.25 to determine the number of dimes and quarters that James has:

x+y=162 (1)

0.10x+0.25y=31.20 (2), where:

x is the number of dimes

y is the number of quarters

First, you can solve for x in (1):

x=162-y (3)

Then, you have to replace (3) in (2) and solve for y:

0.10(162-y)+0.25y=31.20

16.2-0.10y+0.25y=31.20

0.15y=31.20-16.2

0.15y=15

y=15/0.15

y=100

Finally, you have to replace the value of y in (3) to find x:

x=162-100

x=62

Now, you know that James has 100 quarters and you can multiply this number for the value of a quarter to find the amount James has in quarters:

100*0.25=25

According to this, the answer is that James has $25 in quarters.

4. A car traveled 110 miles in 2 hours.
What unit rate describes the speed of
the car?
Answer The question PLZZ no WEBSITE ANSWER

Answers

Answer:

The car is traveling 55 miles per hour

Step-by-step explanation:

Total miles divided by hours

110/2

55

Answer:

55 miles per hour

Step-by-step explanation:

110/2=55

sarah and janie both have lollipops. Janie has 36 lollipops. This is 9 times as many as sarah. How many lollipops does Sarah have

Answers

okay so, Janie has 9 times as many as Sarah does do what’s 36/9?
4! Sarah has four lollipops:)

Answer:

4

Step-by-step explanation:

Hello,

36 / 9 = 4

This cylinder has a volume of 12cubic inches and a diameter of 4 inches.
Find the cylinder's radius and height.
h

Answers

Answer:

0.9554

Step-by-step explanation:

d = 4

r = d/2

r = 4/2

r = 2

V = 12

V = pi r^2 h

V = 3.14 * 2^2 * h

12 = 3.14 * 4 * h

12 = 12.56 * h

h = 12 / 12.56

h = 0.9554

Why is the number that satisfies this equation not a real number?
x^2=--1

Answers

Answer:

I assume that says [tex]x^2=-1[/tex], but that is the case because when we square a number, we can NEVER get a negative number. The smallest square we can get is 0. 1^2 is 1, and no real number squared gives us a negative number.

Step-by-step explanation:

can someone please help me with this question? (no links!)

Answers

Answer:

75 degrees

Step-by-step explanation:

angles 6 and angle 2 are congruent/corresponding, so they have the same angle measure

Hope this helped! Have a nice day, and feel free to follow me on insta (leo_g_rios)

-

Answer:

75

Step-by-step explanation:

they the same

please help me i dont have a lot of time left

Answers

Answer:

its 20 degrees

Step-by-step explanation:

vertical angles makes it 20degrees

please help :) i will give brainlyest

Answers

Answer:

7

Step-by-step explanation:

Drag one of the arrows from -6 to 7  

Which choice represents the equation
a? + b2 = c2 after it has been solved for b?

Answers

it’s a2+b2=c2 so next to a put 2

a+7=a-...
a-18=a+...

Answers

Search it upwciwbcnxkxwkbbkwx

What is the value of x ??

Answers

Answer:

b. 8

Step-by-step explanation:

8................................

Solve for Y. Pls and thank you.

Answers

Answer:

y = 3

Step-by-step explanation:

Answer:

y= 3

Step-by-step explanation:

Find the slope of the line passing through the points D(10,8) and E(-4, 4)

Answers

Answer: 2/7

Step-by-step explanation:

Slope form: y2-y1/x2-x1

4-8/-4-10 ==> -4/-14 ==> 2/7

A child released a balloon into the air 45 minutes ago, and the air forced the balloon to travel 5 miles before another child found it. At what speed did the balloon travel?

Answers

The balloon was at a 25 miles

I can’t figure it out
5 = 5 ( x + 6 )

Answers

Answer:

x = -5

Explanation:

5 = 5 (x + 6)
5 = 5x + 30
-25 = 5x
-5 = x

Hopefully this helped!

Answer:

Step-by-step explanation:

Solution:

= − 5

please help me im struggling ​

Answers

Answer:

it's. -7 -2

7 0

Step-by-step explanation:

because to find X we have to add B with A

X-A=B

or,X=B+A

30 points!!! Find the area of each. Round to the nearest tenth. Do not include units in
your answer (ie. ft, in, km, etc)(triangle-FR) *

Answers

Answer:

Area of triangle = 8.9

Area of parallelogram = 53.4 yd² (option A)

Step-by-step explanation:

✔️Area of the triangle = ½*base*height

base = 3 m

height = 5.9 m

Area of triangle = ½*3*5.9

Area of triangle = 8.85 ≈ 8.9 (nearest tenth)

✔️Area of parallelogram = base*height

base = 8.9 yd

height = 6 yd

Area of parallelogram = 8.9*6 = 53.4 yd²

the length of a rectangle is 1/4 ft. it's width is 1 1/2 ft. what is the perimeter?

Answers

Answer

11.5 ft

Step-by-step explanation:

Perimeter of rectangle:2(l+w)

l :1/4 ft w:11/2 ft

2(1/4+11/2)=11.5

Step-by-step explanation:

11/8 is the answer.

( I am not sure about my answer so I am extremely sorry:/ )

1. Jake makes $11.00 per hour. He is getting a raise of 20% to his hourly pay. How much
will he make per hour after his raise? Show your calculation.

Answers

Answer:

$11,00 x ( 100% + 20%) = $13.2 /h

Step-by-step explanation:

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