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KatRina [158]
3 years ago
12

Ramon kept track of the number of hours that he spent playing the tuba each week for several weeks. He spent 1, 3,5, 4, and 7 ho

urs. What is the range of the data set? A. 4 hours O B. 7 hours Q C. 5 hours D. 6 hours ​
Mathematics
2 answers:
goldfiish [28.3K]3 years ago
8 0

Answer:b

Step-by-step explanation:

Tell me if I’m wrong or right!

ehidna [41]3 years ago
3 0

The answer is D 6 hours

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Find k if (x+1) 2x^3+kx^2+1
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<h2>Question:</h2>

Find k if (x+1) is a factor of 2x³ + kx² + 1

<h2>Answer:</h2>

k = 1

<h2>Step-by-step explanation:</h2>

The factor of a polynomial F(x) is another polynomial that divides evenly into F(x). For example, x + 3 is a factor of the polynomial x² - 9.

<em>This is because;</em>

i. x² - 9 can be written as (x - 3)(x + 3) which shows that both (x - 3) and (x + 3) are factors.

ii. If x = -3 is substituted into the polynomial x² - 9, the result gives zero. i.e

=> (-3)² - 9

=> (9) - 9 = 0

Therefore, if (x + a) is a factor of a polynomial, substituting x = -a into the polynomial should result to zero. This also means that, if x - a is a factor of a polynomial, substituting x = a into the polynomial should give zero.

<em><u>From the question</u></em>

Given polynomial: 2x³ + kx² + 1

Given factor: x + 1.

Since x + 1 is a factor of the polynomial, substituting x = -1 into the polynomial should give zero and from there we can calculate the value of k. i.e

2(-1)³ + k(-1)² + 1 = 0

2(-1) + k(1) + 1 = 0

-2 + k + 1 = 0

k - 1 = 0

k = 1

Therefore the value of k is 1.

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Step-by-step explanation:

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