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
Mila [183]
3 years ago
8

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

Mathematics
1 answer:
riadik2000 [5.3K]3 years ago
3 0
Solve for k for each value of the range, and you will obtain each value of k that may belong to the domain

1) k^2 +2k +1 = 25

k^2 + 2k -24 = 0

(k + 6)(k- 4) = 0
k + 6 = 0 ⇒ k = - 6

k - 4 = 0 ⇒ k = 4

2) k^2 + 2k + 1 = 64

k^2 + 2k - 63 = 0

(k +  9)(k -  7) = 0

k + 9 = 0 ⇒ k = -9
k - 7 = 0 ⇒ k = 7

Then the largest possible domain is {-9, -6, 4, 7}

You might exclude one from -6 and 4 but not both.

You might also exclude one from -9 and 7 but not both

Because with those sets you will obtain all the images that are in the range.

You might be interested in
Please help it is due at 4:30
jolli1 [7]

Answer:

36-12= 24%

Step-by-step explanation:

um i think this is correct if so pls give brainliest :)

4 0
2 years ago
Read 2 more answers
Ten times the sum of half a number and 6 is 8
nexus9112 [7]
Let the required number is 2x ,





According to the condition,



➡ 10 times the sum of half of 2x and 6 = 8

= > 10 \times ( \frac{2x}{2} + 6) = 8 \\ \\ \\ = > 10 \times (x + 6) = 8 \\ \\ \\ = > 10x + 60 = 8 \\ \\ \\ = > 10x = 8 - 60 \\ \\ \\ = > 10x = - 52 \\ \\ \\ = > x = - \frac{ 52}{10} \\ \\ \\ = > x = - 5.2



Therefore the value of x is -5.2


And, required number is -5.2
3 0
3 years ago
____ is necessary because researchers in the social sciences almost never have enough resources — time or money — to collect inf
Tanya [424]

Answer:

Sampling is necessary because researchers in the social sciences almost never have enough resources — time or money — to collect information about the entire set of subjects of interest to them.

Step-by-step explanation:

Sampling is done because you usually cannot gather data from the entire population. Even in relatively small populations, the data may be needed urgently, and including everyone in the population in your data collection may take too long.

4 0
2 years ago
[(12-5). 12] ÷16=?<br>can I please get some help on this? It would be greatly appreciated
lina2011 [118]

i believe it would be 5.25

12-5=7

7*12=84

84/ 16 = 5.25

i hope this helps

8 0
3 years ago
Read 2 more answers
What is the value of y in the solution to the system of equations 5x-y=25 and x+4y=-10
Amiraneli [1.4K]

Answer:

y=-3.571

Step-by-step explanation:

To get rid of the x's make the other x cancel out the other.

5x-y=25+(-5(x+4y=-10)=-21y=75= -3.571

3 0
3 years ago
Read 2 more answers
Other questions:
  • I need help ok this worksheet
    12·1 answer
  • Jayce goes out for a walk. He walks 5/4 miles from home. He walks back 1/2 mile before meeting up with his friend Macy. Write an
    7·1 answer
  • Greyson's mom used 4 out of 12 eggs to make pancakes. Then she used 3 out of 12 eggs to make cupcakes. What fraction of a dozen
    10·1 answer
  • Which equation represents a proportional relationship?
    15·2 answers
  • Systems of Equations - Elimination method <br> 2x-y=17 x-y=10
    12·2 answers
  • Please help out would really appreciate it
    6·1 answer
  • Y - 8 = -10<br> How do I verify the solution ?
    7·1 answer
  • -6x-27=6<br> give me the answer please .
    15·2 answers
  • If the ratio of raisins to bran flakes in a box of raisin bran flakes cereal is 3:27, how many raisins are there in a box that c
    8·1 answer
  • Please please please help I’ll give you brainliest
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!