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
DochEvi [55]
3 years ago
12

Identify the transformation of the function f(x)=|x| by observing the equation of the function g(x)=|x+3|

Mathematics
1 answer:
Alla [95]3 years ago
6 0

Answer:

a horizontal translation by 3 units left

Step-by-step explanation:

f(x)= |x|

we are given with absolute function f(x)

g(x)  = |x+3|

To get g(x) from f(x) , 3 is added with x

If any number is added with x  then the graph of the function move to the left

Here 3 is added with x, so the graph of f(x) moves 3 units left to get g(x)

So there will be a horizontal translation by 3 units



You might be interested in
he XO Group Inc. conducted a survey of brides and grooms married in the United States and found that the average cost of a weddi
ahrayia [7]

Answer:

A. P(X<20,000) = 0.0392

B. P(20,000 < x < 30,000) = 0.488

C. Amount = $39,070

Step-by-step explanation:

From XO group website

Cost of a wedding = $29,858

Mean, μ = $29,858

Standard Deviation, σ =$5,600

a. Calculating the probability that a wedding costs less than $20,000

P(X<20,000)?

First, the z value needs to be calculated.

z = (x - μ)/σ

x = 20,000

z = (20,000 - 29,858)/5600

z = -1.76

So, P(X<20,000) = P(Z<-1.76)

From the z table,

P(Z<-1.76) = 0.0392

P(X<20,000) = 0.0392

b. Calculating the probability that a wedding costs between $20,000 and $30,000

P(20,000 < x < 30,000)

First, the z value needs to be calculated.

z = (x - μ)/σ

When x = 20,000

z = (20,000 - 29,858)/5600

z = -1.76

When x = 30,000

z = (30,000 - 29,858)/5600

z = 0.02

P(20,000 < x < 30,000) = P(-1.76 < z <0.02) --- using the z table

P(-1.76 < z <0.02) = 0.508 - 0.0392

P(-1.76 < z <0.02) = 0.4688

P(20,000 < x < 30,000) = 0.488

c. Using the following formula, we'll get the amount it'll a wedding to be among the 5% most expensive

z = (x - μ)/σ where x = amount

Make x the subject of formula

x = σz + μ

Fist we need to get the z value of 5%

z0.05 = 1.645

x = σz + μ becomes

x = 5600 * 1.645 + 29,858

x = $39,070

Amount = $39,070

5 0
3 years ago
A factory produces pop-its at a constant rate. After 4 hours, 3,120 pop-its have been produced. What is the unit rate? (must sho
Viktor [21]

A

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
PLEASE HELP ASAP 100 POINTS AND BRAINIEST<br> please solve 7y + 13 -4z when =5 and z =9.
Molodets [167]

Answer:

35+13-36

Step-by-step explanation:

35+13=48

48-36=12

8 0
3 years ago
Read 2 more answers
A baby was born 3/4 of a month early. At birth its weight was 7/8 kilograms, which is 9/10 kilograms less than the average weigh
BlackZzzverrR [31]

Answer:

The average weight of a newborn otter is 1.775 kg.      

Step-by-step explanation:

We are given the following in the question:

Weight of newborn otter =

\dfrac{7}{8}\text{ kg}

Let x lg be the average weight of a newborn otter.

Thus, we are given the relation:

\dfrac{7}{8} = x - \dfrac{9}{10}\\\\x = \dfrac{7}{8} + \dfrac{9}{10}\\\\x = \dfrac{35+36}{40} = \dfrac{71}{40}\\\\x = 1.775\text{ kg}

Thus, the average weight of a newborn otter is 1.775 kg.

7 0
3 years ago
2.02 x 4.2 = (put the answer in decimal form)
kifflom [539]

Answer:

8.484

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Other questions:
  • |2x−3y| if x=0.5; y=−0.7 help me out please
    10·2 answers
  • Square P and Sqare Q are similar squares. The ratio of the side length of square P to the side length of square Q is 2:7. If the
    12·1 answer
  • Given that x = 5 and y = 9, evaluate the expression using -4xy - 6x2 + 2x2y - 6y
    11·1 answer
  • I NEED HELP ASAP :(
    10·1 answer
  • 30 -60 -90 <br> Please help.
    14·2 answers
  • Quadrilateral ABCD is graphed on a coordinate plane. Three of its vertices are at A (2.6), Point B(6,8), and Point C(8,4). Which
    5·1 answer
  • Consider the statement sqrt 300c9 = 10cx sqrt 3c. For what value of x is the statement true? x =
    11·2 answers
  • Please help me fast!!!
    9·2 answers
  • Work out angle bxc. give a reason for each angle you work out
    11·1 answer
  • Show whether or not y=x+3 is tangential to the curve y^2=x​
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!