Select the table representing a linear function. (Graph them if necessary.)

Mathematics

2 answers:

Ksenya-84 [330]1 year ago

6 0

Check the picture below.

laiz [17]1 year ago

3 0

Answer is C because there is a constant rate of change (+2) in the y-values. As x increases by 1, y increases by 2.

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If you actually know plz give an explanation to the answer so i know you aren't just answering for points, please help this is d

tatuchka [14]

Scientifically, the answer should be C

6 0

2 years ago

When Shawn cleaned his room he found that the ratio of clean clothes to dirty clothes was 3 to 5 if 46 articles of clothing were

emmainna [20.7K]

Answer:

17.25

Step-by-step explanation:

Ratio of clean clothes to dirty clothes = 3 : 5

Clean clothes = 3

Dirty clothes = 5

Total ratio = 3 + 5 = 8

Total clothing article = 46

how many were clean

Number of clean clothes = ratio of clean clothes / total ratio × total clothing article

= 3/8 × 46

= 0.375 × 46

= 17.25

8 0

2 years ago

Express p in terms of q if

Irina-Kira [14]

$p=x^2+\dfrac{1}{x^2}\\\\p=\dfrac{x^4}{x^2}+\dfrac{1}{x^2}\\\\p=\dfrac{x^4+1}{x^2}\qquad(*)$

$q=x+\dfrac{1}{x}\\\\q=\dfrac{x^2}{x}+\dfrac{1}{x}\\\\q=\dfrac{x^2+1}{x}\qquad\text{square both sides}\\\\q^2=\left(\dfrac{x^2+1}{x}\right)^2\\\\q^2=\dfrac{(x^2+1)^2}{x^2}\qquad\text{use}\ \ (a+b)^2=a^2+2ab+b^2\\\\q^2=\dfrac{(x^2)^2+2(x^2)(1)+1^2}{x^2}\\\\q^2=\dfrac{x^4+2x^2+1}{x^2}\\\\q^2=\dfrac{x^4+1}{x^2}+\dfrac{2x^2}{x^2}\\\\q^2=\dfrac{x^4+1}{x^2}+2\qquad\text{subtract 2 from both sides}\\\\q^2-2=\dfrac{x^4+1}{x^2}\\\\\text{From (*) we have}\\\\\boxed{p=q^2-2}$