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
Nikolay [14]
1 year ago
9

Use set of notation to write the domain and range of the function y=-3x(x+1)^2+3 shown in graph

Mathematics
1 answer:
anygoal [31]1 year ago
7 0

The domain of a function is the set of values of x in which the function can be calculated.

The range of a function is the associated values of the function respect to the domain.

You have the following function:

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

In order to determine the domain and range of the previous function, you consider that the given function is available for any value of x. Then, you have:

dom y: -∞ ≤ x ≤ ∞ : (-∞,∞)

The range of the function can be determine by noticing, on the graph, that the maximum value of the function is y=3 and also you can notice that there is no a limit for negatives values of the function. Then, you have:

ran y: -∞ ≤ y ≤ 3 : (-∞,3]

You might be interested in
Suppose that $6500 is placed in an account that pays 17% interest compounded each year. Assume that no withdrawals are made from
MatroZZZ [7]

Answer: $7,605

Step-by-step explanation:

At the end of 1 years, the amount in the account will be:

= Principal * (1 + rate)^ no. of periods

= 6,500 * (1 + 17%)

= $7,605

4 0
3 years ago
Solve each equation by completing the square NEED THIS IN 10 MINS WILL GIVE BRAINLIEST
yulyashka [42]

Answer:

Step-by-step explanation:

7(b² - 2b - 8) = 0

7(b² - 2b +   ) = 8

7(b² - 2b + 1) = 8 + 1

7(b - 1)² = 9

(b - 1)² = 9/7

b - 1 = ±√(9/7)

b = 1 ±3√(1/7)

b ≈ -0.134, 2.134

m² + 10m + 14  = -7

m² + 10m +      = -7 - 14

m² + 10m + 25 = -7 - 14 + 25

(m + 5)² = 4

m + 5 = 2

m = -3

p² - 8p + 21 = 6

p² - 8p +     = 6 -21

p² - 8p + 16 = 6 -21 + 16

(p - 4)² = 1

p - 4 = 1

p = 5

4 0
3 years ago
a bike race is 6 miles long by noon tammy had ridden 3/4 of the distance. at this rate how long will it take her to finish the r
Tasya [4]
The racer take 4 hours (between 8:00 to 12:00) to race 3/4 of 6 miles

3/4 of 6 miles = 18/4 = 4.5 miles

4 hours ⇒ 4.5 miles
1 hour ⇒ 4.5 ÷ 4 = 1.125 miles

The time taken to complete 6 miles = 6 ÷ 1.125 = 16/3 hours = 5.3 hours


4 0
3 years ago
Mark incorrectly evaluated the expression 4x+12-x to the power of 2 where is x-2. Identify and correct mark’s mistake.
nirvana33 [79]

Answer:

The value of 4x+12-x^2 is 16.

Step-by-step explanation:

The given expression is 4x+12-x^2\ at\ x=2.

Put x = 2 in the above expression as follows :

4x+12-x^2=4(2)+12-(2)^2\\\\=8+12-4\\\\=16

Hence, the final answer is 16.

5 0
3 years ago
I really need help please help if u could 9-11
Nuetrik [128]
9) 35% of the 12,000 are 50-64 years old. 
12,000 x 0.35 = 4,200 

4,200 people were 50-64 years old

10) 25% of 596 people are over 64 years old
596 x 0.25 = 194

194 people were older than 64

11) yes, he is correct because 450 x 10%=45 and 450 x 30%=135 
8 0
3 years ago
Read 2 more answers
Other questions:
  • Mr. Sullivan places tiles numbered 1 through 18 in a bag and assigns a number to represent each of the 18 students in his class.
    6·1 answer
  • If two lines intersect, then there is(are) _____ that contain(s) them. one point many points one plane many planes
    9·2 answers
  • About how many meters is a 40-yard race
    13·1 answer
  • The graph shows the motion of two cars starting at different places on a highway. Their speeds can be compared by comparing the
    12·1 answer
  • The scale of a drawing is 1 unit : 6 feet. If the length of the model is 4 units and the width is 2.5, what is the length and wi
    15·2 answers
  • 75%
    7·2 answers
  • Six numbers have a mean of 4.5 and five of the numbers are 4,3,4,6,1.
    9·1 answer
  • Given that csc(O) =<br> V5<br> 2<br> and O is in Quadrant IV, what is tan(O)?
    14·1 answer
  • A yogurt shop offers five different flavors of frozen yogurt and twenty different
    9·1 answer
  • 1. Find the synonym in this sentence that hints at the meaning of the underlined word:
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!