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
MariettaO [177]
3 years ago
7

The range of the function f(k) = k2 + 2k + 1 is {25, 64}. What is the function’s domain?

Mathematics
2 answers:
zavuch27 [327]3 years ago
7 0
Answer is D {4,7}

if u put those values in the equation then u will get that output {25,64}
Fudgin [204]3 years ago
5 0

Answer:

Correct option is:

{4,7}

Step-by-step explanation:

The range of the function f(k) = k² + 2k + 1 is {25, 64}.

i.e. k²+2k+1 can take only two values either 25 or 64

When k=5 ,k²+2k+1=36

when k= -5 ,k²+2k+1=16

when k=8 ,k²+2k+1=81

Hence, domain set cannot contain the points 5,8 and -5

The only option that do not contain any of these numbers is:

{4,7}

Also when k=4 , k²+2k+1=25

and when k=7 , k²+2k+1=64

Hence, Correct option is:

{4,7}

You might be interested in
The ratio of the interior angles of a triangle is 2:3:5. What are the angle measures
Talja [164]
2:3:5
2x+3x+5x=180
10x=180
x=18
2x=36
3x=54
5x=90
6 0
3 years ago
Read 2 more answers
If 3a + b + c = -3, a+3b+c = 9, a+b+3c = 19 find a*b*c
VashaNatasha [74]

Answer:

a=-4

b=2

c=7

so therefore a*b*c=-4*2*7

5 0
3 years ago
(10-4)+20 divided by 10?
Luba_88 [7]

Answer:

8

Step-by-step explanation:

(10-4)+20/20

6+20/10

6+2

8

6 0
3 years ago
A group of high school athletes has an average GPA of 2.7 with a standard deviation of 0.9. a)Find the percentage of athletes wh
mart [117]

Answer:

a) The percentage of athletes whose GPA more than 1.665 is 87.49%.

b) John's GPA is 3.645.

Step-by-step explanation:

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 2.7, \sigma = 0.9

a)Find the percentage of athletes whose GPA more than 1.665.

This is 1 subtracted by the pvalue of Z when X = 1.665. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{1.665 - 2.7}{0.9}

Z = -1.15

Z = -1.15 has a pvalue of 0.1251

1 - 0.1251 = 0.8749

The percentage of athletes whose GPA more than 1.665 is 87.49%.

b) John's GPA is more than 85.31 percent of the athletes in the study. Compute his GPA.

His GPA is X when Z has a pvalue of 0.8531. So it is X when Z = 1.05.

Z = \frac{X - \mu}{\sigma}

1.05 = \frac{X - 2.7}{0.9}

X - 2.7 = 1.05*0.9

X = 3.645

John's GPA is 3.645.

8 0
3 years ago
What is the unit rate price to the nearest cent of a 33-ounce bottle of juice that sells for $2.99?
marissa [1.9K]

Answer:

$0.09.

Step-by-step explanation:

2.99/33

= $0.0906

7 0
3 years ago
Other questions:
  • True or False? A circle could be circumscribed about the quadrilateral below.
    15·1 answer
  • Suppose you receive $100 for a graduation present, and you deposit it in a savings account. then each week thereafter, you add $
    5·1 answer
  • 15 POINTS to solve this CONSTRUCTION.
    12·1 answer
  • Slope of parallel and perpendicular line
    9·1 answer
  • PLEASE HELP!!
    11·1 answer
  • 9( 10a +<br>12c) + 11(6a + 50 + 11)​
    13·2 answers
  • Jody decides to ride her bike from her house to the park. The distance she travels on her bike, In
    12·1 answer
  • What exactly is a root of a logarithmic function again?
    15·1 answer
  • In 2018 the population of the world was approximately 7500 000 000
    7·2 answers
  • HELP
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!