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2 years ago

Which situations are modeled by linear functionspt.1

Mathematics

1 answer:

nevsk [136]2 years ago

7 0

<u>Answer:</u>

A. Nicole's hair grows at a rate of 1/2 in. per month.

B. Julian adds 5 laps to his swimming routine every week.

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

We are given a number of situations and we are to figure out whether which of them can be modeled by a linear function.

To begin with, I would like to define in simple words what a linear function is.

A function which which produces a straight line graph is said to be a linear function.

Here, the following two situations can be modeled by linear function:

A. Nicole's hair grows at a rate of 1/2 in. per month.

B. Julian adds 5 laps to his swimming routine every week.

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Given line t passes through (0,-5) and (-1,3) and liner passes through (-4,3) and (4,2).

kupik [55]

Answer:

neither

Step-by-step explanation:

Slope of the first line: (y2 -y1)/(x2-x1) = (3-(-5)/-1 = 8/-1 = -8

Slope of the second line: (2-3)/4-(-4) = -1/8

They are neither parallel nor perpendicular. In fact the two lines have different slope so they can’t be parallel. In addition the product of their slope is not -1, so they can’t be perpendicular,

3 0

3 years ago

How to factor 6n2 - 6n - 12

alexandr402 [8]

We see that in these 3 terms, 6 is a common factor. So, let's factor out a 6:

$6n^2-6n-12 = 6(n^2-n-2)$

We can set this equal to 0 and factor by using the quadratic formula which is:

$x = \frac{-b \pm \sqrt{b^2-4ac} }{2a}$

So, let's do just that:

$6(n^2-n-2) = 0$

Note that the 6 goes away if you divide both sides by 6. In this case, a = 1, b = -1, and c = -2. Let's plug that into the quadratic equation:

$\frac{1 \pm \sqrt{(-1)^2-4(1)(-2)} }{2(1)} = \frac{-1 \pm \sqrt{1-(-8)} }{2}$

$\frac{-1 \pm \sqrt{9} }{2} = {1, -2}$

So, we can write this as:

$6n^2 - 6n - 12 = 6(n-1)(n+2)$

Notice that the 6 comes back because it was only temporarily mad. And that the roots have opposite signs in the parentheses because to find the roots, you need to set each parentheses equal to 0 and solve for n. With that in mind, your final answer is 6(n-1)(n+2). Hope I could help you!

7 0

3 years ago

If purchased a TV on my debit card, money will be taken out of my account immediately

Mashcka [7]

Answer: Debit card transactions usually go through a period where the purchase is pending before the funds are removed from your account. The funds will not be taken out of your account immediately. Therefore it is false

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2 years ago

Lines y and z are parallel.

Mrac [35]

Answer:

28 degrees

Step-by-step explanation:

step 1

Find the measure of angle 1

$m\angle 1+65^o=180^o$ ----> by supplementary angles