If the function h is defined by h(x)=[tex]x^{2}[/tex]-3x+5,then h(2x+1)=

Answers

Answer 1

Given:

The function is:

[tex]h(x)=x^2-3x+5[/tex]

To find:

The value of [tex]h(2x+1)[/tex].

Solution:

We have,

[tex]h(x)=x^2-3x+5[/tex]

Putting [tex]x=2x+1[/tex], we get

[tex]h(2x+1)=(2x+1)^2-3(2x+1)+5[/tex]

[tex]h(2x+1)=(2x)^2+2(2x)(1)+(1)^2-3(2x)-3(1)+5[/tex]

[tex]h(2x+1)=4x^2+4x+1-6x-3+5[/tex]

On combining like terms, we get

[tex]h(2x+1)=4x^2+(4x-6x)+(1-3+5)[/tex]

[tex]h(2x+1)=4x^2-2x+3[/tex]

Therefore, the required function is [tex]h(2x+1)=4x^2-2x+3[/tex].


Related Questions

help me solve this problem please and explain if u can

Answers

is this flvs

Step-by-step explanation:

PLEASE HELP ME!! please explain your answer so I know how to do it next time! The question is number 7

Answers

Answer:

Step-by-step explanation:

How to find speed-

Use formula s= d/t

dist.= 50 m

t=2.25 hrs

S=22.2

(I used calculator u can too)

Plz help due tomorrow ill give Brainlyest if correct

Answers

Answer:

a = 3.6

Step-by-step explanation:

[tex] \frac{2}{3} (6a + 9) = 20.4 \\ \\ \bigg( \frac{2}{3} . \boxed{6a} \bigg) + \bigg(\boxed{ \frac{2}{3}} . {9} \bigg) = \boxed{ 20.4} \\ \\ (2.2a) + (2.3) = 20.4 \\ \\ 4a + 6 = 20.4 \\ \\ 4a = 20.4 - 6 \\ \\ 4a = 14.4 \\ \\ a = \frac{14.4}{4} \\ \\ a = \boxed{3.6}[/tex]

2/3*6a+2/3*9=20.4
= 4a+6=20.4
= a=14.4/4
= a=3.6

if p q by the consecutive interior angles theorem which angles must be supplementary​

Answers

Answer:

Angles 3 and 8 are consecutive interior angles

Step-by-step explanation:

Here, we want to use the consecutive interior angles theorem to find the supplementary angles

We start by looking at the transversal line

two angles that are directly above each other on the two lines are consecutive interior angles that are supplementary

We have this two as;

Since it is P and Q that are parallel, it is angles 3 and 8 that are consecutive interior angles

Help me with this please! Will mark Brainliest!!

Answers

Answer:

1

Step-by-step explanation:

5+1=6

Answer is 1 because in a line that goes up from 5 to 6 is just one jump.

The length of a picture frame is inches more than the width. For what values of x is the perimeter of the picture frame greater than ​inches?

Answers

9514 1404 393

Answer:

  x > 35

Step-by-step explanation:

The perimeter is twice the sum of length and width. You want x such that ...

  P > 156

  2(x +(x+8)) > 156

  4x +16 > 156 . . . . . simplify

  x +4 > 39 . . . . . . . . divide by 4

  x > 35 . . . . . . . . . . . subtract 4

The perimeter of the frame will be greater than 156 inches for x > 35.

A recipe for cookies calls for
cups of chocolate chips for every 3 dozen cookies made. How many cups of chocolate chips would be needed for 7 dozen cookies?

A.

B.

C.

D.

Answers

The answer is B.) you will need 3 cups of chocolate chips

For 7 dozens cookies 3 1/2 cups needed.

What is unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

For 3 dozen cookies = 1 1/2 cups = 3/2 cups

For 1 dozen cookies = 3/2 * 1/3 = 1/2 cups needed

So, for 7 dozen cookies = 1/2 * 7

                                       = 3 1/2 cups needed

Hence, for 7 dozens cookies 3 1/2 cups needed.

Learn more about unitary method here:

https://brainly.com/question/22056199

#SPJ2

the_______ coordinate located at the highest or lowest point on a parobla​

Answers

Answer:

Vertex

Step-by-step explanation:

Fifteen pencils are sold for $750. what is the cost for 1 pencil ?​

Answers

One pencils cost $50
Because you to do 750/15 to get you X

Answer:

50$

Step-by-step explanation:

750/15=50

(do u mean 7.50 cuz if u did its 0.50 cents)

When you multiply 2 decimals, how do you know where to place the comma in the product?

Answers

Answer:

you mean the decimal point?

Step-by-step explanation:

You will know when you cross the decimal point when multiplying.

Answer: it would just be like putting a comma normally, just all you have to do is get your new number but then just add both the comma and decimal it shouldn’t effect on where its put! If that’s what your asking!

Step-by-step explanation:

For problem 5, use the ordered pairs to answer the following
question. SHOW YOUR WORK FOR FINDING SLOPE.

Answers

Answer:

no

Step-by-step explanation:

Because the lines are parallel

solve this equation -3/4x + 6 > -3=

Answers

Answer:

[tex]x\leq 0 or x \geq \frac{1}{12}[/tex]

it’d be cool if you could answer at least one of these with work please.

Answers

Answer:

11: 416

Step-by-step explanation:

so the area of the rectangle is 20*16 and you add the triangle's area which is 96. 320+96=416. I am pretty sure that is the answer. ( Sorry if my drawing is bad) :D

A cube has a side length of 4 feet. What is the volume of the cube?
48 ft3
64 ft3
96 ft3
12 ft3

Answers

Answer:

64 square ft^3

Step-by-step explanation:

If the side lengh is 3 then you would have 4^3 which is 64.

Answer:

64

Step-by-step explanation:


Help I will be marking brainliest!!!

A. 22
B. 44√2
C. 22√2
D. 44

Show work, if possible. Thanks❤️

Answers

Answer:

I'm doing some of these questions now in my math class. I think it's D) 44 sorry if I'm wrong tho

Answer:

Step-by-step explanation:

Since the hypotenuse is 44 and the two sides are equal to FT we can say

2(FT)^2=44^2

FT^2=968

FT=22(2^(1/2))

So C is the correct answer.

A company makes 140 bags. 28 of the bags have buttons but no zips. 47 of the bags have zips but no buttons. 27 of the bags have neither zips nor buttons. How many bags have zips on them?

Answers

Answer:

95 bags have zips.

Step-by-step explanation:

140 - total bags

28 - buttons + no zips

47 - no buttons + zips

27 - no buttons + no zips

----

140 - 28 = 112

112 - 27 = 85

find the measure of all of the angles on the diagram​

Answers

Answer:

Angle 1: 135*

Angle 2: 45*

Angle 3: 45*

Angle 4: 135*

Angle 5: 135*

Angle 6: 45*

Angle 7: 45*

Angle 8: 135*

Step-by-step explanation:

So we have angle 2, 45*, we can subtract 45 from 180 to get the angle for 1. Since everything is the same size as either 1 or 2 we can just plug in the bigger angle number we have for it, ex 4= 135 and so is 7.

If you don't understand something please don't hesitate to ask.

Answer:

Step-by-step explanation:

∠2 = 45

∠3 = ∠2    {Vertically opposite angles}

∠3 = 45

∠7 = ∠3    {Corresponding angles}

7 = 45

∠6 = ∠7        {Vertically opposite angles}

∠6 = 45

∠1 + ∠2 = 180   {Linear pair}

∠1 + 45 = 180

∠1  = 180 -45

∠1 = 135

∠4 =∠1  {Vertically opposite angles}

∠4 = 135

∠8 = ∠4  {Corresponding angles}

∠8 = 145

∠5 = ∠4         {Alternate interior angles}

∠5 = 145

Lewis checked the balance of his savings
account every month for 4 months. The
balances were $300, $410, $520, and
$630. Would a linear or exponential
function better represent the data?
Explain.

Answers

Answer:

Linear

Step-by-step explanation:

The balances each go up by $110

300 + 110 = 410

410 + 110 = 520

520 + 110 = 630

What is the measure of angle D?
A. 75°
B. 80°
C. 95°
D. 110°

Answers

Answer:

110%

Explanation:

Determine if the triangles are similar. If yes, write a similarity statement and give the scale factor. if NO explain why the triangles are not similar.​

Answers

These triangles are similar because
they both have right triangles with a 90 degree angle

Please help ill give brainliest to THE RIGHT ANSWER

Answers

B. Because the colored in dot stands for " equal to " and you would have to spend $10+

Answer:

It is B

Step-by-step explanation:

Hope I helped

If we give the cashier a $20 bill for a shirt that costs $22.95, how much more do we owe the cashier?

Answers

Answer:

$2.95

Step-by-step explanation:

$22.95-$20

we owe the cashier $2.95

explanation:
20 - 22.95 = -2.95

can yall pls help wit this pls asap
i will mark you brainliest if u are correct first

Answers

Answer:  4955.30

Step-by-step explanation:

F = P (1+i)^n

F = $4000 (1+.055)^4

F = $4955.2986

Which will be 4955.30

Answer:

A. $4955.30

Step-by-step explanation:

Look at the equation

A(t)= P(1+r)^t

In this equation,

A(t) is your amount after a period of time,

P is the initial balance stated in the question (4000)

r is the rate (must be converted to a decimal) as stated in the question (0.055)

t represents the amount of time that has passed (4 years)

Whenever you plug this into the equation, you get

A(t) = 4000(1.055)^4 and this can be plugged into a calculator to get your answer which will be

4955.29 (round up to .3) and your final answer is A. 4995.30

In order to convert from percent to decimal you just need to move the decimal to the left two places

5.5 becomes 0.055 after the decimal is shifted

How does the denominator of the sum, 1 5/12, compare to the denominators of the addends, 2/3 and 3/4?

Answers

Answer:

There denominators are same, ie = 12

Step-by-step explanation:

Sum , 1 + 5/12 = (12 + 5) / 12

= 17 / 12  

Sum , 2/3 + 3/4 = (8 + 9) / 12

= 17 / 12

I need help due in a Hour

Answers

Answer:

2.6

Step-by-step explanation:

The distance a person can travel varies directly with the time they have been traveling if going at a constant speed. If Phoenix traveled 78 miles in 1.5 hours while going at a constant speed, how far will he travel in 2 hours at the same speed?

Answers

Answer:

answer is 175 miles, have a good day <3

Quick help please!!!

Answers

Answer:

D

Step-by-step explanation:

this isnt highschool, u are dum

Find the volume: 7cm 16 cm 8 cm​

Answers

Answer: Greetings my dude. The volume of the triangular prism is around 1,138 Centimeters Cubed.

Hope this helps!

Answer:

volume = length * breadth * height

= 16*7*8

=896

Simplify the expression 7h +(-5.9d) – 17+4d -3.4h

Please help me need it done ASAP

Answers

Answer:

−1.9d+3.6h-17

Step-by-step explanation:

You just need to combine like terms ;)

Hope it helps, let me know

How many minutes would it take a drone to travel 100 km at a speed of 40 km/min?

Answers

Answer:

Divide

Step-by-step explanation:

If you divide them then you get 2.5

Answer:

Kilometers per hour is often used for car speeds. One hour at this speed moves you 100 km

Step-by-step explanation:

i have a headache sorry if wrong

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