What is the degree of the power function represented in the table

2

Step-by-step explanation:

We need to plot the points in a graph and see the general shape of the curve.

Attached is the graph.

This Upside Down "U" shaped curve is that of a parabola, which has the general form

Thus, we see, the function is a 2nd degree function, highest power is 2.

The degree of the power is 2.

Step-by-step explanation:

In the table we can see that h(0) = 0, so in our function h(x) there are no term that is not multiplicated by x.

we also have:

h(-2) = -8

h(2) = -8

So we see that the function h(x) is a pair function, so the degree must be a pair degree.

We also see that h(1) = h(-1) = -2

So make sense to think that the function is of the form:

h(x) = a*x^n

and for example:

h(2) = a*(2^n) = -2

where n can be 2 or 4

if n = 4, we have

h(2) = a*(2^4) = a*16 = -2

then a = -1/8

and h(1) = (-1/8)*1^n = -1/8

but we know that h(1) must be equal to -2, so n= 4 is not the correct option.

if n = 2

h(2) = a*(2^2) = -8

a*4 = -8

a = -2

and h(1) = -2*(1^2) = -2

this works.

So the degree power of the function is equal to 2.

solution:

as, mean is defined as sum of all the observations divided by total number of observations.

and , median is mid value of the data whether arranged in ascending order or descending order.

consider, roadsters:

2,3,4,5,6,7,8,9

mean =

also, median= , because number of observations is even, so median is mean of two mid values.

now, coming to bandits

2,3,4,5,6

mean =  

median = 4, as number of observations is odd.

so, roadsters has greater median as well mean than bandits.

→option a is true about the repairs performed on 2 types of cars:

bandits have lower median and mean than roadsters.

answer: city needs 2.4 inches of rainfall more to match the record of 40 inches.

step-by-step explanation:

since we have given that

total annual rainfall a city record = 40 inches

this year, total rainfall recorded = 37.6 inches

number of inches of rainfall   is needed to match the record of 40 inches is given by

hence, city needs 2.4 inches of rainfall more to match the record of 40 inches.