f(x) = x2 + 2x + 1, find f(x + h) and simplify.

Answers

Answer 1

Given:

The function is

[tex]f(x)=x^2+2x+1[/tex]

To find:

The value of [tex]f(x+h)[/tex] in simplified form.

Solution:

We have,

[tex]f(x)=x^2+2x+1[/tex]

Putting [tex]x=x+h[/tex], we get

[tex]f(x+h)=(x+h)^2+2(x+h)+1[/tex]

[tex]f(x+h)=x^2+2xh+h^2+2x+2h+1[/tex]

[tex]f(x+h)=x^2+h^2+2xh+2x+2h+1[/tex]

Therefore, the simplified value of [tex]f(x+h)[/tex] is [tex]x^2+h^2+2xh+2x+2h+1[/tex].


Related Questions

how can tell if a table values is proportional

Answers

Answer:

You can

Step-by-step explanation:

To see if multiple ratios are proportional, you could write them as fractions, reduce them, and compare them.

Answer:

To tell if a table values are proportional, the x and the y value should have a common factor. When the numbers are all divided by their common factor, the points should all be equal to each other.

Need an answer for p and q

Answers

74-p

20-q

I think this is right

help help help





blah blah blah

Answers

Answer:

It is c blah blah blah

Step-by-step explanation:

pls give brainliest blah blah blah

Answer:

?

Step-by-step explanation:

rain fell at the steady rate of 2 inches every 3 hours.

Answers

what is your question then?

Answer:

wow that's a lot of rain

Step-by-step explanation:

(It falls at a rate of 2/3 of an inch per hour if that's what you were having trouble with??)

Solve these algebraic expression and make it them into one simplified expression
(There are two parts)

Answers

Step-by-step explanation:

Equation 1

[tex]\frac{m^2}{6} -\frac{9}{4m}\\\\ by\ taking\ LCM\\\\ \frac{2m^3-27}{12m}[/tex]

Equation 2

[tex]\frac{x^3}{w} -\frac{2}{wx^2}\\\\ by\ taking\ LCM\\\\ \frac{x^5-2}{wx^2}[/tex]

The recipe to make baked pears for every 4 pears, you need 2 cups of yogurt and 6 tablespoons of granola. What is the ratio of cups of yogurt to tablespoons of granola? *

4:2
1:2
6:2
1:3

Answers

Answer:

1:3

Step-by-step explanation:

yogurt to granola

in the original story it is 2 to 6

that can be simplified to 1 to 3 or 1:3

The first pizzeria in America opened in New York in 1905. The pizza recipe Came from Italy. Look at Italy's flag. What fraction of the flag is not red?

Answers

Answer:

2/3

Step-by-step explanation:

PLEASE SHOW WORK PLEASE I REALLY NEED HELP GRADES ARE LOW

Answers

Answer:

64. f(5) = 5(5) - 6 = 19

65.

f(-2) = (-2)^5 + (-2)^3 + 4(-2) = -32 -8 -8 = -48f(0) = 0f(5) = 5^5 + 5^3 + 4(5) = 3,125 + 125 + 20 = 3,270

66.

f(-2) = -10(-2)² = -10(4) = -40f(0) = 0f(5) = -10(5)² = -10(25) = -250

find the height
10cm 8cm
h=

Answers

Answer:

h = [tex]\sqrt{84}[/tex] cm

Step-by-step explanation:

The radius, height h and slant height form a right triangle.

radius r = 8 ÷ 2 = 4, hypotenuse = 10

Using Pythagoras' identity in the right triangle

h² + 4² = 10²

h² + 16 = 100 ( subtract 16 from both sides )

h² = 84 ( take the square root of both sides )

h = [tex]\sqrt{84}[/tex] cm

How would you solve this

Answers

Answer:

I don't know sorry but I think it's multipleucatuon

HELP PLZ!!! i have trouble with this!!!

Answers

Center is (1,0)
And radius is 1

What is the positive solution to the equation 3x^2−12=0?


A.) 3


B.) 2


C) 4

Answers

Answer:

B) 2

Step-by-step explanation:

Solve the equation:

3x² - 12 = 0x² - 4 = 0x² = 4x = √4x = 2 is the positive solution

Correct choice is B

PLZ HELP!!!!!!!
Solve for x​

Answers

Answer:

100

Step-by-step explanation:

hehe

Let y=f(x) be the particular solution to the differential equation dy/dx=(2x−1)/y^2 with the initial condition y(0)=3. Which of the following is an expression for f(x) ?

Answers

Answer:

y=  (3x^2-3x+27)^1/3

Step-by-step explanation:

A grocery store sells a bag of 8 oranges for $4.24. What is the unit cost?

Answers

Answer:

0.53

Step-by-step explanation:

8/8 =         1

4.24/8 = 0.53

1/0.53 = 0.53

Answer: 0.53 :D

Answer:

I think its About 0.53 per orange.     Sorry if my answer is wrong

Step-by-step explanation:

please i really need hel
p!​

Answers

Answer:

x=2-11y/3 hope this helps!

-r/3 = 11
(I know how to do it but I keep on getting the positive and negative signs wrong plsss help)

Answers

Answer:

r = -33

Step-by-step explanation:

-r/3 = 11

Multiply each side by -3 to isolate r

-3 * -r/3 = 11 * -3

r = -33

HELP! QUICKLY!
find x:

Answers

Answer:

x=38

Step-by-step explanation:

Vertically opposite angles are equal, therefore equate the 2 angles opposite each other.

2x+5=3x-33

2x-3x= -33-5

-x= -38

x=38

Answer:

Because they are vertical angles:

(2x +5) = (3x-33)

combine like terms

5= x-33

x= 38

Step-by-step explanation:

hope this helps you

Please answer.
‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎

Answers

Answer:

image isn't loading for me :((( can you try replying to me w the question

an auto shop installed a new automatic system to do paint job for cars. the system can paint 6 cars in 1/4 hour. how long does it take to paint one car? PLEASE ANSWER ASAP I WILL BE MARKING BRAINLY

Answers

Answer:

.4

Step-by-step explanation: have a good day

Given the equation 3x+4y=20, is the point (4,2) a solution to the equation? Explain and
show you work.

Answers

Answer:

(4, 2) is a solution to the equation

Step-by-step explanation:

if y = 2 and x = 4 add fill them into the equation

3(4) + 4(2) = 20

12 + 8 = 20

20 = 20

this makes the equation true

So yes, (4, 2) is a solution to the equation.

What shape does this cross section make?

Answers

Answer: A cross section is the shape we get when cutting straight through an object. The cross section of this object is a triangle. hope this helps. Can u give me brainliest

Step-by-step explanation:

6 cm 8 cm what will be the perimeter and the area of the rectangular below if it is enlarged using factor of 6.5

Answers

Answer:

The dimensions of the enlarged rectangle are 6*6.5 cm by 8*6.5 cm, or 39 by 52 cm. The area of this rect. is therefore (39 cm)(52 cm) = 2028 cm^2. The perimeter of the original rectangle is P = 2(6 cm) + 2(8 cm) = 28 cm. The perimeter of the enlarged rectangle is P = 2(39) + 2(48) = 174 cm.

Step-by-step explanation:

The temperature is 0. If the temperature is dropping 4 degrees an hour, what will the temperature be in 5 hours?

Answers

-4 Degrees times 5 hours equals -20 degrees

please help i am so confused

Answers

9514 1404 393

Answer:

  1. vertex: J, sides: JH and JK

  5. angle 3, angle M, angle LMN, angle NML

  10. angles 1, 3, 6, HVJ, HVK, HVL, JVK, JVL, KVL, JVH, KVH, LVH, KVJ, LVJ, LVK

Step-by-step explanation:

Your question has too many parts for the kind of answers Brainly is intended to provide. So, we hope to alleviate your confusion by providing examples of the way these questions are answered.

__

An angle can be named by any of ...

its vertexan angle designator in an unambiguous place (usually inside, near the vertex)three points, with the vertex listed in the middle

Note that angle ABC consisting of rays BA and BC sharing end point B can also be named angle CBA.

__

1. The rays share end point J. That is the vertex of the angle. The rays are named using the end point first, so the rays in this diagram are JH and JK.

The vertex is J; the sides are JH and JK.

__

5. We note there is an angle designator inside near the vertex, point M. That designator can be used to name the angle: angle 3.

There are only two rays that meet at vertex M, so the angle can also be named by naming the vertex: angle M.

The angle can also be named by naming an point on each ray, with the vertex in the middle: angle LMN or angle NML.

The four ways to name this angle are: angle 3, angle M, angle LMN, angle NML.

__

10. All of the angles with numeric designators have V as a vertex. Those angles are angle 3, angle 1, angle 6.

In this case, we cannot use V to name an angle, because many angles have vertex V. That name would be ambiguous, not referring to a specific angle.

The other angles that have V as a vertex can be named by naming their rays. There are 4 rays that meet at vertex V. Any two will identify an angle. There are 4·3 = 12 permutations of 4 rays taken 2 at a time. For example, if we choose to use rays VJ and VK as the two rays of our angle, we can name it two ways: JVK or KVJ. (This particular angle is also angle 1.)

So, the angles that have V as a vertex are ...

  angles HVJ, HVK, HVL, JVK, JVL, KVL, JVH, KVH, LVH, KVJ, LVJ, LVK

Frank borrowed money from his dad to buy a motorcycle. To repay his loan, Frank paid his dad $200 each month. After 14 months, his
remaining debt was $3,200.
• Rrepresents the remaining debt at a given time.
• L represents the original loan amount.
• T represents the time (in months).
Which THREE statements are correct?
A)
The original loan amount was $6,000.
B)
It will take Frank 16 months to pay back his dad.
C)
It will take Frank 30 months to pay back his dad.
D)
The equation R-L-200T can be used to model this situation.
E)
The equation L=R-200T can be used to model this situation.

Answers

Answer:

it is e

Step-by-step explanation:

Answer:

C, A, D

Step-by-step explanation:

The original loan amount was $6,000,

It will take Frank 30 months to pay back his dad,

The equation R = L − 200T can be used to model this situation.

Help me with this!!!

Answers

Answer:

-7

Step-by-step explanation:

Find the largest perfect square that divides 350584416

Answers

7644 squared by 6 I am not sure if that’s what you were asking for but that’s what you get if you square 350584416

The largest perfect square that divides 350584416 is 58430736

The number is given as: 350584416

Express the number as the product of its factors

350584416 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 7 x 7 x 7 x 7 x 13 x 13

Express the numbers as exponents

350584416 = 2^5 * 3^3 * 7^4 * 13^2

Rewrite the product as:

350584416 = 2^4 *2 * 3^2 * 3 * 7^4 * 13^2

Reorder the factors

350584416 = 2^4 * 3^2 * 7^4 * 13^2  * 2 * 3

Express the product as a product of a perfect square

350584416 = (2^2 * 3 * 7^2 * 13)^2  * 2 * 3

Write out the perfect square (k)

k = (2^2 * 3 * 7^2 * 13)^2

Evaluate the product

k = (7644)^2

Evaluate the exponent

k = 58430736

Hence, the largest perfect square that divides 350584416 is 58430736

Read more about perfect squares at:

https://brainly.com/question/16450266

1. A decorative rug in an office building has
the dimensions shown. What is the area of
the rug?
A. 72 m2
B. 36 m2
C. 18 m2
16 m2

Answers

Answer:

72

Step-by-step explanation:

The answer is 72 my friend

Help please
Marking brainiest

Answers

Answer:

279 ft²

Step-by-step explanation:

A=bh

A=16x16

A=256

Subtract the area of island

A=bh

A=3x7

A=21

256-21=235

Then you have to find the area of the trapezoid at the top, which is a reactangle and then two smaller triangles

A=bh

A=10x4

A=40

A=1/2bh

A=4x1x1/2

A=2

Multiply it by two because there are 2 of them

2x2=4

40+4=44

The area of the main part is 235 and the area of the side section is 44.

Add them together

235+44=279 ft²

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