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butalik [34]
2 years ago
15

PLEASE HELP ME ASAP TYSM IF YOU DO!!! It says: identify each function is linear or nonlinear.

Mathematics
1 answer:
vichka [17]2 years ago
6 0

Answer:

  a, b – linear

  c – nonlinear

Step-by-step explanation:

When classifying a function from its table, you generally are looking at the way y changes when x changes. When the x-values are evenly-spaced, as they are here, then it is much easier to identify the function type from the y-values.

For evenly-spaced x-values ...

  y-values have a common difference: linear function

  y-values have changing differences: non-linear

     y-values have a common ratio: exponential function

     y-values have common "second differences": quadratic

__

a) Differences of y-values are ...

  11 -14 = -3, 8 -11 = -3, 5 -8 = -3 . . . linear function

b) Differences of y-values are ...

  -1 -(-3) = 2, 1 -(-1) = 2, 3 -1 = 2 . . . linear function

c) Differences of y-values are ...

  3 -5 = -2, 1 -3 = -2, 3 -1 = 2 . . . nonlinear function

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Problem 9
lapo4ka [179]

Answer:

3:36PM

Step-by-step explanation:

Leon starts at 12PM with 12 gallons of gas, and after 2 hours he has used 5 gallons of gas. This means that every 2 hours he uses 5 gallons of gas.

Next we will find at what point Leon will stop to get gas. Since he will stop when the tank is at \frac{1}{4} capacity, we can use the equation:

\frac{1}{4} * 12 = \boxed{3}

This shows \frac{1}{4} of his tank's capacity (12) is equal to 3 gallons. This means he will stop for gas when 3 gallons are remaining.

Now we need to find how many gallons of gas he uses, but as a unit rate. (This will allow us to find what time Leon will stop to get gas.) To find the unit rate, we will need to find how many gallons of gas he uses per hour.

\frac{\mbox{5 gallons}}{\mbox{2 hours}} = \frac{\mbox{2.5 gallons}}{\mbox{1 hours}}

This is a simple proportion, and now we know he uses 2.5 gallons of gas per hour.

Now we can how many hours of gas Leon has left.

He has 7 gallons of gas left at 2PM, so we can divide to find how many hours left of gas he has.

\frac{7-3}{2.5} = 1.6

The 7-3 is because Leon doesn't stop when his tank is empty, he stops 3 gallons earlier. We are dividing by 2.5 because that is how much gas he uses per hour, meaning the result of this division (1.6) is how many hours he has left.

Now we can solve for what time Leon will stop to get gas.

12PM + 2 hours of driving + the remaining 1.6 hours = 3:36PM

(1.6 hours is equal to 1 hour and 36 minutes)

Therefore, Leon will stop for gas at 3:36PM

8 0
2 years ago
Rewrite the following polynomial in standard form.<br> -x^2-10+x^3
ELEN [110]

Answer:

37

Step-by-step explanation:

4 0
3 years ago
Mr. Rivona bought 5 pounds of<br>bananas for $0.45 per pound<br>How much did she spend in all​
Alinara [238K]

Answer:

2.25

Step-by-step explanation:

5*.45=2.25

7 0
3 years ago
The number of entrees purchased in a single order at a Noodles &amp; Company restaurant has had an historical average of 1.35 en
trasher [3.6K]

Answer:

a) 0.3571

b) The p-value is 0.362007.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 1.35

Sample mean, \bar{x} = 1.4

Sample size, n = 26

Alpha, α = 0.01

Sample standard deviation, s = 0.7

First, we design the null and the alternate hypothesis

H_{0}: \mu = 1.35\text{ entrees per order}\\H_A: \mu > 1.35\text{ entrees per order}

We use One-tailed t test to perform this hypothesis.

a) Formula:

t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n-1}} }

Putting all the values, we have

t_{stat} = \displaystyle\frac{1.4 - 1.35}{\frac{0.7}{\sqrt{25}} } = 0.3571

b) The p-value at t-statistic 0.3571 and degree of freedom 25 is 0.362007.

4 0
3 years ago
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Natalija [7]
I think that it is the first line. I am not really sure what the question is asking so I may be wrong. Sorry if I can’t help
6 0
3 years ago
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