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

find the value of x in each triangle. show your work on a separate piece of paper

Answers

Answer:

125

Step-by-step explanation:

all angles in a triangle add up to 180. you add 100+25=125 180-125=55 to check... 125+55=180 to angles next to each other on a straight line equals 180-55=125 angle x= 125

im pretty sure thats correct i hope this helps!

I need help -6x > 30

Answers

Answer:

×< -5

Step-by-step explanation:

-6x>30 reverse the sign

x< -5

PLEasE HELPPP WITH THISSSSS IF U KNOW THE ANSWER PLS TELL ME LIKE THIS :
RADIUS =
DIAMETER=
CIRCUMFERENCE=
AREA=

Answers

Radius= 3

Diameter= 6

Circumference= 18.85

Area= 28.27

Give me brainlest plis :(

-36 is greater than -35
True or false

Answers

Answer:

That is false. -36 is less than -35

False, this is because the more negative a number is, the lesser is becomes.

Which of these expressions is equivalent to log (92)? O A. log (2) • log (9) O B. log (2) – log (9) OC. log (2) + log (9) OD. 2 • log (9)​

Answers

Correct question is;

Which of these expressions is equivalent to log (9^2)?

Answer:

D: 2•log 9

Step-by-step explanation:

From log rules, we know that;

log(a^n) = n•log(a)

Applying that rule to this question, we can simplify log (9^2) as;

log (9^2) = 2•log 9

Looking at the options, the correct one is Option D

Factor the trinomial
3x^2+12x+9

Answers

Answer:

x^2 + 4x + 3

Step-by-step explanation:

divide everything by 3

pls help me!!!!!!!!!!!

Solve for the variable "x" in this example

Answers

Answer:

x=9

Step-by-step explanation:

these are vertical angles, so they equal eachother!

12x-3=105

move three to the other side of the equals sign

12x=108

divide both sides by 108

x=9

Answer: x=9

Step-by-step explanation:

These angles are equal, so you can set 105 equal to 12x-3. Add 3 and divide by 12 to get x=9.

PLS HELP FOR BRAINLIST!
Look at picture below and please solve. If possible, it would be great if you could show your work! TYSM!

Answers

Answer:

-2,-2,-2

Step-by-step explanation:

When you add -2 to itself, it equals -4. When you add -2 to -4, you get -6.

Answer: -2

Step-by-step explanation: -2 + -2 +-2 = -6

The point slope form of the equaton of the line that passes through (-9, -2) and (1, 3) is y-3=1/2(x-1). What is the slope-intercept form of the equation for this line?

Answers

Answer: y=1/2x+5/2

Step-by-step explanation:

y-3=1/2 (x-1)

y-3(-3)=1/2x-1/2(+3)

y=1/2x-1/2+6/2

y=1/2x+5/2

hope this helped!!

Simplified the expression write your answer as a power

Answers

Answer:

2^8/3^8

Step-by-step explanation:

When multiplying powers with the same base, add the number in the exponent. For example, if you were multiplying 2^4 and 2^3, you would add 3 and 4 (3+4=7), and write your answer as 2^7. In this case, the bases being multiplied are both 2/3, so you can add 2 and 6 for a sum of 8 and put 8 as the exponent: (2/3)^8. The fully simplified expression is 2^8/3^8 because the exponent applies to both the numerator and the denominator.

its a lot but i hope this will help!! please lmk if i made a mistake

Answer:

256/6561

Step-by-step explanation:

Jawan made a table to figure out how much he earns at his job

Answers

Step-by-step explanation:

is that the question..can u explain it

where is the table?

Step-by-step explanation:

Which of the answer choices describes Monica's budget?

Monica's Budget
Income $655 Fixed Expenses
Living Expenses Rent $200
Electric $45 Contingency $20
Transportation $78 Annual Expenses
Food $190 Car Insurance $945
Entertainment $30 Books $280

It is in deficit.

It is balanced.

It is in surplus.

HELP ASAP!!!!!!!!!!!!THIS IS QUESTION 43

Answers

Answer:

It is in deficit

Step-by-step explanation:

If you take her income (655) and subtract all of the expenses, including adding the annual expenses together and dividing them by 12 months, the result would be negative.

It is in deficit describes the Monica's budget.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

We can calculate Monica's total fixed expenses as:

Rent + Electric + Transportation + Food + Entertainment = $200 + $45 + $78 + $190 + $30 = $543

Her annual expenses are:

Car Insurance + Books = $945 + $280 = $1225

Adding her fixed and annual expenses gives:

$543 + $1225 = $1768

Since her income is only $655, her expenses exceed her income and she is operating at a deficit. Therefore, the answer is: It is in deficit.

Hence, It is in deficit describes the Monica's budget.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

helllllllllllllllllllppppppppp!!!!!!!!!!!!!!!!!!!!!!!!
pleeeeeeeeeeeease

Answers

Answer:

1:5 is the ratio so 1 cow for every 5 sheep, 2 cows for 10 sheep and 3 cows for 15 sheep.

Step-by-step explanation:

Mackayla withdrew a total of $100 from her bank
account over 4 days. She withdrew the same amount
each day. By how much did the amount in her bank
account change each day? What operation can you
use to solve this problem?

Answers

Answer:

Step-by-step explanation:

Use division. It was the same amount each day.

100 dollars over 4 days.

100  / 4 = 25

Each day her bank account decreased by 25 dollars.

4ax + 2bx =??
Es urgente

Answers

Answer:

2x(2a + b)

Step-by-step explanation:

4ax+ 2bx

= 2x (2a + b)

Help please I’m confused

Answers

3y= 21

I think 3y would be 21 because in the equation, 5y+13=48, y= 7. So if we know that y is 7 that’ll mean we’ll use 7 to interpret y for 3y.

Domain and range math question. Help if you can

Answers

D: (-∞, ∞)
R:(-∞, ∞)
Let me know if you don’t want it in interval notation form

15 m X B A 18 m 30 m 50 m у,
What's the scale factor?​

Answers

Answer: The scale factor is approximately 1.67

Step-by-step explanation:

30 × 1.67 = 50.1

50.1 ≈ 50

Incase you needed to know; y = 30 and x = 9

Help help i give brainlist

Answers

Answer:

your answer option 1 and 4

Step-by-step explanation:

have a nice day ^_^

Please help me this is my final!!!

Answers

Answer:

A

Step-by-step explanation:

I fricked up last time, it's a

if you need me to explain then ask

Answer: hello

your answer is A.) 2700

Step-by-step explanation:

I hope it helps

have a nice day

On a middle school basketball court, there is a large circle painted on the
floor. The diameter of the circle is 12 feet. What is the area of the circle?
Jse 3.14 for a

Answers

Answer:

113.04 feet²

Step-by-step explanation:

Use the circle area formula, A = [tex]\pi[/tex]

Sine the diameter is 12 feet, the radius is 6 feet

Plug in 6 as r into the formula, and 3.14 as pi, then solve:

A = [tex]\pi[/tex]r²

A = (3.14)(6²)

A = (3.14)(36)

A = 113.04

So, the area of the circle is approximately 113.04 feet²

Answer:

113.04 feet²

Step-by-step explanation:

Hope this helps

I want to give away some points so whoever can answer 1+1 your a big brain and deserve the points!

Answers

Answer:

2

Step-by-step explanation:

Answer: 2

Step-by-step explanation: 1 2 3 so 1 + 1 is 2

What is the sum of the degrees from a diagram with 5 vertices?

It is not 540

Answers

Answer:

The number of edges connected to a single vertex v is the degree of v. Thus, the sum of all the degrees of vertices in the graph equals the total number of incident pairs (v, e) we wanted to count.

HOPE THIS HELPS

Find the value of x so that the function has the given value.
9(x) = x-9; g(x) = 3

Answers

Answer:

-15

Step-by-step explanation:

SHOPPING Ramos went to a pizza shop and spent half of
his money on lunch. If Ramos had $4.50 left after lunch,
how much money did he have originally?
EE
THE
HELSE
TELEP






Help i need it quick

Answers

$ 8.50 because if you said half and if your do 8.50-4.50 =4.50 so just reverse it 4.50 + 4.50 = 8.50

HELP PLS i really need help

Answers

X = 29

You add the two together and set them equal to 180, then solve

factor the trinomial
2x^2+10x+8

Answers

Answer:

x^2 + 5x + 4

Step-by-step explanation:

divide everything by 2

Answer:

2(x+4)(x+1)

Step-by-step explanation:

2x^2+10x+8

1. Take out the greatest common factor. Divide by 2

2(x^2+5x+4)

3. Replace 5x with 1x+4x

2(x^2+1x+4x+4)

4. Spilt the equation in half and factor.

2(x^2+1x) = 2(x(x+1) and 4x+4 = 4(x+1)

5. Combine the new terms

2(x+4)(x+1)

Table -
rate of change is_____Between any two rows

Answers

Answer slope

Step-by-step explanation:

what is the answer to this question?​

Answers

Answer:

your answer will be option B

you are right

Step-by-step explanation:

have a nice day!!

A rental car company charges $55.98 per day to rent a car and $0.14 for every
mile driven. Joseph wants to rent a car, knowing that:
• He plans to drive 375 miles.
• He has at most $300 to spend.
What is the maximum number of days that Joseph can rent the car while
staying within his budget?

Answers

Answer:

4 days

Step-by-step explanation:

0.14 × 375= $52.50

$300-52.50=247.50

247.50 ÷55.98= 4.42122186495

round 4.42122186495 to the nearest whole that won't go over 300 and its 4 at $223.92 and the if you add your 52.50 thats $276.42

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