1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
anzhelika [568]
3 years ago
15

If the function h is defined by h(x)=

lign="absmiddle" class="latex-formula">-3x+5,then h(2x+1)=
Mathematics
1 answer:
harkovskaia [24]3 years ago
3 0

Given:

The function is:

h(x)=x^2-3x+5

To find:

The value of h(2x+1).

Solution:

We have,

h(x)=x^2-3x+5

Putting x=2x+1, we get

h(2x+1)=(2x+1)^2-3(2x+1)+5

h(2x+1)=(2x)^2+2(2x)(1)+(1)^2-3(2x)-3(1)+5

h(2x+1)=4x^2+4x+1-6x-3+5

On combining like terms, we get

h(2x+1)=4x^2+(4x-6x)+(1-3+5)

h(2x+1)=4x^2-2x+3

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

You might be interested in
Rae deposit 6,000 into a savings account with an interest rate of 4% compounded monthly. how long will it take for the account t
Dovator [93]

Answer: it will take 13.3 years

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1+r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

P = 6000

A = 10000

r = 4% = 4/100 = 0.04

n = 12 because it was compounded 12 times in a year.

Therefore,.

10000 = 6000(1 + 0.04/12)^12 × t

10000/6000(1 + 0.0033)^12t

1.67 = 1.0033^12t

Taking log to base 10 of both sides, it becomes

Log 1.67 = 12tLog 1.0033

0.223 = 12t × 0.0014

0.223 = 0.0168t

t = 0.223/0.0168

t = 13.3 years

7 0
3 years ago
What is breaking probation?
masha68 [24]

Answer:

a probation violation occurs when someone who has already been sentenced for a crime breaks the terms or conditions of that probation

7 0
2 years ago
Using the ratio of perfect squares method, what is square root of 22 rounded to the nearest hundredth?
Alja [10]
4+ \frac{22-16}{25-16} = \\\\ 4 + \frac{6}{9} =\\\\4 + \frac{2}{3} 
=\\\\ \boxed{\bf{4.67}}
 Using the ratio of perfect squares method, the square root of 22 rounded to the nearest hundredth is 4.67

Hope this helps!! If you have any other questions or would like further explanation just let me know!! :)
5 0
3 years ago
In the figure below AC And bd are diameters of circle P what is the arc measure a Bc in degrees
UNO [17]

Answer:

321

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
1. Point B is located at (-4, -6). Where is the location of B’ after a reflection over the y-axis? *
Tcecarenko [31]

Answer:

4,-6

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • Can someone help me graph this?
    15·1 answer
  • 4 Which of the following is a composite number between 80 ard 100?​
    9·1 answer
  • a sand timer has 5 5/16 ounces of sand. of sand falls at a rate of 2.5 ounces per minute, how many minutes will the timer last?
    14·1 answer
  • Could 1 2 . 2 cm , 6 . 0 cm , 12.2 cm,6.0 cm, and 4 . 2 cm 4.2 cm be the side lengths of a triangle?
    13·1 answer
  • An office supply store carriers a all-in-one printer with a regular price of $240. The printer is on sale at 15% off. In additio
    12·1 answer
  • mr.wallace surveyed 75 students at poole middle school to find out the students favorite place to eat lunch.
    7·1 answer
  • Anita incorrectly wrote the equation z = w – 18 to describe the pattern in the table.
    13·2 answers
  • Big money butts how to do.​
    10·1 answer
  • Guys please help me whit this , I got a lot of time doing this please give me the answer
    10·2 answers
  • Please answer<br>Solve for the missing angles <br><br>1=<br><br>2=<br><br>3=<br><br>4=
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!