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3 years ago

Determine whether each table represents a linear, quadratic, exponential function.

Mathematics

1 answer:

Nesterboy [21]3 years ago

6 0

Answer:

A: Exponential

B: Quadratic

C: Linear

Step-by-step explanation:

Let analyse each table

Table A

X Y ΔY/ΔX

1 5 xxxxxx

2 11 11 - 5 = 6

3 29 29 - 11 = 18

4 83 83 - 29 = 54

.....................

We can see that, [ ΔY/ΔX ] increases at the fastest rate out of all functions, so it must be exponential function

Table B

X Y ΔY/ΔX Δ^2Y/ΔX^2

0 5 xxxxxx xxx

1 7 7 - 5 = 2 xxx

2 13 13 - 7 = 6 6-2 = 4

3 23 23 - 13 = 10 10-6 = 4

..............................

It is a quadratic because Δ^2Y/ΔX^2 = 4 and are constant for all values

Table C

X Y ΔY/ΔX

3 20 xxxxxx

6 18 2 / 3

9 16 2 / 3

15 12 2 / 3

..............

It is a linear because ΔY/ΔX = 2/3 are constant for all values

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Pls help with 29 and 19

Phoenix [80]

You should have written like this
1 hour /16 = x hour /100
x=100/16=25/4=6.25
but it asks how many hours after first hour
6.25-1=5.25

5 0

2 years ago

What is a true statement about negative exponents?

Nadya [2.5K]

Answer:

Raising something to a negative exponent is just taking the reciprocal of the amount.

Step-by-step explanation:

Let's assume that you wanted to know what $x^{-2}$ is.

To find it, you would take the reciprocal of the x amount. So $x^{-2}$ becomes $\frac{1}{x^{2}}$ .

This works because of the nature of exponents. Exponents represent the number of times you are multiplying a value by itself. So $a^{3}$ would be equal to a · a · a. To increase the exponent, you increase the number of times the value is multiplied by itself: To increase $a^{3}$ to $a^{5}$ , you would have to multiply a with $a^{3}$ two more times (a · a · a · a · a). To decrease the exponent, you must divide the value by itself. So to decrease $a^{5}$ to $a^{2}$ , you would have to divide $a^{5}$ by a 3 times.

If the exponent is 0, the value is equal to 1. But you can still decrease the exponent into negative numbers. You just divide 1 by a the desired amount of times: $\frac{1}{a^{3}}$ means that you are dividing 1 by a 3 times.