Answer:
Exponential Function; base = 7; initial value = - 9.3
Step-by-step explanation:
Base is a number/value which has a variable exponent;
Initial value is the value of a function (i.e. y) when the independent variable, i.e. x, is equal to 0.
Answer:
- <u>They can catch up with the bus at 10:40 am.</u>
Explanation:
1. Set the time when Liana and her mother can leave (8:40 am) as t₀ = 0; thus the time of driving for them will be t.
2. The average speed at whic Liana's mother drive: 60 miles/hour
3. Thus, the distance they will have driven will be:
- distance = average speed × time = 60t
4. The time the bus left was 8:00 am, which is 40 minutes before Liana and her mom can leave.
Thus, the time wil have driven when Liana and her mom have driven t hours minutes will be: t + 40 min / 60 min/ hour = t + 2/3
5. The average speed of teh bus is 45 miles / hour
6. The distance the bus will have driven will be:
- distance = average speed × time = 45(t + 2/3)
7. When Liana and her mother catch up with the bus, the distances driven by both of them are equal:
Thus, Liana and her mom can catch up with the bus after 2 hours, since 8:40 am; this is, 10:40 am.
By looking at the degree of the polynomials, we conclude that the option that is not linear is option C.
<h3>Which of the following functions is not a linear function?</h3>
A polynomial is an expression of the form:

Where all the exponents are natural numbers.
We define the degree of a polynomial as the largest exponent, and we define a linear function as a polynomial of degree 1.
So a linear function is of the form:

Now, if you look at option C, you can see that the degree of that polynomial is 2. So that is not a linear function.
Then the correct option is C.
If you want to learn more about linear equations:
brainly.com/question/1884491
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Answer:
- <u>The value of N is 8</u>
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- <u>The value of the angles is 48º</u>
Explanation:
The two indicated angles are supplementary because they could be drawn as two interior angles on the same side of two parallel sides cut by a transversal.
Thus, those measure of those two angles add up 180º, which lets you to write an equation and solve for N:
And the value of the angles is:
- 8N - 16 = 8(8) - 16 = 48, or
Answer:
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Step-by-step explanation:
If not have a nice day