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3 years ago

How can Kendra determine if the function is actually linear?

Mathematics

2 answers:

pashok25 [27]3 years ago

8 0

Answer:

D. She can check to see if the rate of change between the first two ordered pairs is the same as the rate of change between the first and last ordered pairs.

Step-by-step explanation:

Find the rate of change between first two ordered pairs and the second two ordered pairs:

1. Points (2,4) and (3,9). Rate of change:

$\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{9-4}{3-2}=\dfrac{5}{1}=5$

2. Points (3,9) and (4,16). Rate of change:

$\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{16-9}{4-3}=\dfrac{7}{1}=7$

The rate of change for the linear function must the same for each two points on the graph of the function. In this case, the reate of change differs, so this function is not linear and correct option is D.

Leviafan [203]3 years ago

4 0

Answer:

its D

Step-by-step explanation:

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Find the value of expression - 17x-19xpwer4 - 21x power 2,when x=3<br><br>

Marrrta [24]

Answer:

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Step-by-step explanation:

Given

$-17x - 19x^4 - 21x^2$

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Required

Solve

Substitute 3 for x in $-17x - 19x^4 - 21x^2$

$-17x - 19x^4 - 21x^2 = -17*3 - 19*3^4 - 21*3^2$

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3 years ago

Find the 75th term of the following arithmetic sequence.<br> 6, 11, 16, 21,

katrin [286]

Answer:

The 75th term in the sequence is 16

Step-by-step explanation:

The 75th term of a sequence can be considered as the term that is in the position at 75% along the sequence. This is assuming that the sequence has been sorted already from lowest value to highest value

In this sequence, which has 4 terms, we can find the 75th term by finding what term is at 75% (or three-quarters) along the sequence.

To find the 75th term:

Multiply the number of terms by 0.75 (or 75%/100%) :

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3 years ago

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alexgriva [62]

Answer:

y = 4x

Step-by-step explanation:

When two lines are parallel, their slopes are equal. The slope in this equation is 4. Therefore, any line with slope 4 will suffice.

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Answer:

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Step-by-step explanation:

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