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
Lena [83]
3 years ago
15

Which statements are true for the function y = |x| - 2? Select all that apply.

Mathematics
2 answers:
kakasveta [241]3 years ago
6 0
Two last answers are correct
klemol [59]3 years ago
4 0

Answer: The correct options are,

Its graph has a V-shape.

There are two inputs for which the output is 5.

The vertex of its graph is at (0, -2).

Step-by-step explanation:

Here, the given function is,

y=|x|-2 ------(1)

Which is an absolute function,

Since, the graph of an absolute function is always V shaped,

⇒ The graph of the given function is V-shaped,

Also, the range of the function is  [-2, \infty)

So, the value of the function can be negative,

Now, for y = 0,

\implies 0 = |x|-2

\implies |x|=2\implies x =\pm 2

Thus, there are two inputs for which the output is 0,

Also, for y = 5,

\implies 5=|x|-2

\implies |x|=7\implies x = \pm 7

Thus, there are two inputs for which the output is 5,

Since, if an absolute function is,

y=a|x-h|+k ------(2)

Then, the vertex of the function is (h,k),

By comparing equation (1) and (2),

The vertex of the given function is, (0, -2 )

You might be interested in
Tell what whole number you can substitute for xx in the following list so the numbers are ordered from least to greatest. 1/x,x/
olasank [31]
X/3 has to be smaller tha 80%
so x can be 2 since 2/3=66% about
1/2 is less thn 2/3

answer is x is 2
4 0
3 years ago
Read 2 more answers
NewPop produces their brand of soda drinks in a factory where they claim that the
Citrus2011 [14]

Answer:

a) 14960 bottles

b) 502 bottles

Step-by-step explanation:

Given that:

Mean (μ) = 24 ounces, standard deviation (σ) = 0.14 ounces

a) From empirical rule (68−95−99.7%) , 68% of the population fall within 1 standard deviation of the mean (μ ± 1σ).

Therefore 68% fall within 0.14 ounces of the mean

the number of bottle =  22,000*68% = 14960 bottles

b) To solve this we are going to use the z score equation given as:

z=\frac{x-\mu}{\sigma} where x is the raw score = 23.72

z=\frac{x-\mu}{\sigma}=\frac{23.72-24}{0.14} =-2

From the normal probability distribution table: P(X < 23.72) = P (Z < -2) = 0.0228

The number of rejected bottles = 22000 × 0.0228 = 502 bottles

8 0
3 years ago
A piece of string 25 1/2 inch long will be cut into 3/4 inches pieces how many pieces will there be
weqwewe [10]
25.5/0.75 = 34 Pieces.

Hope this has helped.
6 0
3 years ago
Read 2 more answers
Rewraite 3/7 whit a denominator of 28
deff fn [24]

Answer:

12/28

Step-by-step explanation:

3 x 4 = 12

7 x 4 = 28

4 0
3 years ago
Read 2 more answers
Richard estimates that he can apply fertilizer to 4,486 square feet of grass in 3/4 hour. How many square feet of grass can Rich
Scrat [10]
( PLEASE GIVE BRAINLIEST) 4,486/1 and 3/4 I would do division and use the butterfly method which gets you 1121.5/3 simplified to 373.83 feet per hour
3 0
3 years ago
Other questions:
  • Please tell me the vertex, axis is symmetry, and the x and y intercepts. ANSWER FAST PLEASE!!
    14·1 answer
  • A hiker is lost in the woods. A search team has created a coordinate grid to represent the woods. Each unit on the grid is one s
    6·2 answers
  • ❤Please answer❤Yesterday a parking lot had 10 cars parked in the parking lot, 40% were silver, 3 were red, and the rest were blu
    11·2 answers
  • Periodically, Merrill Lynch customers are asked to evaluate Merrill Lynch financial consultants and services. Higher ratings on
    8·1 answer
  • What is 3 /8 times 4/7 in simplest form
    12·1 answer
  • In slope-intercept form, write the equation of the line passing through the points (-4,1) and (-3,2).
    15·1 answer
  • No links/downloads. Please help me with my math homework
    15·1 answer
  • Find 11 expressions using only fives, that equal either 0,1,2,3,4,5,6,7,8,9,10
    11·1 answer
  • This year, Shelley paid $2,363 for season tickets to her favorite baseball team, which is 15%
    13·2 answers
  • 6/8 of a gallon of orange juice is left. Six thirsty people want an equal amount of orange juice. How much does each person get?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!