MATHEMATICS HIGH SCHOOL

The range of the function f(k) = k2 + 2k + 1 is {25, 64}. What is the function’s domain?{5, 8}
{-5, -8}
{3, 8}
{4, 7}
{4, 8}

Answers

Answer 1
Answer:

Answer:

Hence, the domain of the function is:

{4,7}

Step-by-step explanation:

We are given the range of the function:

f(k)=k^2+2k+1 as {25,16}

The function f(k) could also be written as:

f(k)=k^2+2k+1=k^2+k+k+1\n\nf(k)=k(k+1)+1(k+1)\n\nf(k)=(k+1)(k+1)\n\nf(k)=(k+1)^2

The range is the value of the function at some k.

1)

if f(k)=25 then we have to find the value of k.

f(k)=25=5^2=(k+1)^2

on taking square root on both side we have:

k+1=5\n\nk=5-1\n\nk=4

2)

if f(k)=64 then we have to find the value of k.

f(k)=64=8^2=(k+1)^2

on taking square root on both side we have:

k+1=8\n\nk=8-1\n\nk=7

Hence, the domain of the function is:

{4,7}
Answer 2
Answer: The domain of a function contains the x-values of the function while the range of the function contains the y-values of the function. In this case, we substitute 25 and 64 to y. Then, 
25 = k2 + 2 k + 1 (k-4) * (k+6) = 0 
64 =  k2 + 2 k + 1 (k-7) * (k+9) = 0 
hence the domain is {-9,-6, 4,7}

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2. What is the product of 713 and 82? A. 795 B. 58,466 C. 631 D. 8 r57

Answers

Product of 713 and 82

= 713 * 82          Use your calculator.

= 58 466.   

Option B.
The correct answer is B. 58,466.

The product is the answer of a multiplication problem so 713 * 82= 58,466

Hope this helped!

Make a conjecture about the next item in the sequence.
1, 4, 16, 64, 256

Answers

1024 , multiply the last number by 4
1024 is the next in sequence

Simplify 5 + 2{x - 4[3x + 7(2 - x)]}.

-34x - 107
34x - 107
34x + 107

Answers

5 + 2(x - 4(3x + 7(2 - x)))
5 + 2(x - 4(3x + 14 - 7x))
5 +2(x - 4((3x - 7x) + 14))
5 + 2(x - 4(-4x + 14))
5 + 2(x + 16x - 56)
5 + 2(17x - 56)
5 + 34x - 112
34x - 107

The answer is: 34x - 107.

Answer:

The answer is: 34x - 107.

Step-by-step explanation:

Complete the recursive formula of the arithmetic sequence -1, -13, -25, -37,...−1,−13,−25,−37,...minus, 1, comma, minus, 13, comma, minus, 25, comma, minus, 37, comma, point, point, point. a(1)=a(1)=a, left parenthesis, 1, right parenthesis, equals a(n)=a(n-1)+a(n)=a(n−1)+a, left parenthesis, n, right parenthesis, equals, a, left parenthesis, n, minus, 1, right parenthesis, plus

Answers