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2 years ago

Which graph represents a linear function?

Mathematics

2 answers:

pshichka [43]2 years ago

7 0

Answer:

y + 2x = 10 (third option)

Step-by-step explanation:

We can see that every time x increases by one, y increases by -2, meaning that the slope is -2.

We also know that the y-intercept is 10 because that is the value of y when x is equal to 0.

Now, we can create the equation using the slope-intercept form (y = mx + b, where m is the slope and b is the y-intercept).

y = -2x + 10

If you look at the third option, that equation is just a rearranged form of our equation (y + 2x = 10).

This means that the third option is correct.

Fantom [35]2 years ago

6 0

Answer:

C, or y+2x=1-

Step-by-step explanation:

Test them one by one. Put the y into the equation and the x in the equation. Whichever ones always work are the correct answer. Remeber, you have to consider all the possible values of x and y when you test them!

MXXX

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U = { x | x is the name of one of the states of in the US}

leva [86]

Answer:

n(P') = 49
n(A' ∪ N) = 46
n(I' ∩ O') = 43
n(P∩N) = 0

Step-by-step explanation:

We can start with some helpful facts:

n(U) = 50
n(A) = 4
n(I) = 4
n(P) = 1
n(N) = 8
n(O) = 3

and all subsets are mutually exclusive.

n(P') = n(U) -n(P) = 50 -1 = 49

n(A' ∪ N) = n(A') = n(U) -n(A) = 50 -4 = 46

n(I' ∩ O') = n(U) -n(I) -n(O) = 50 -4 -3 = 43

n(P∩N) = 0 . . . . no states begin with the letter P and also with the letter N.

_____

For reference, here is a list of the relevant states:

{Alabama, Alaska, Arizona, Arkansas, Idaho, Illinois, Indiana, Iowa, Nebraska, Nevada, NewHampshire, NewJersey, NewMexico, NewYork, NorthCarolina, NorthDakota, Ohio, Oklahoma, Oregon, Pennsylvania}

3 0

3 years ago

When a ball is dropped onto a flat floor, it bounces to 65% of the height from which it was dropped. If the ball is dropped from

valkas [14]

Using a geometric sequence, it is found that:

The rule for the height of the nth bounce is:

$a_n = 52(0.65)^{n-1}$

The height of the fifth bounce is of 9.28 cm.

In a <em>geometric sequence</em>, the quotient between consecutive terms is always the same, called common ratio q.

The nth term of a geometric sequence is given by:

$a_n = a_1q^{n-1}$

In which $a_1$ is the first term.

In this problem:

Bounces to 65% of the height from which it was dropped, thus the common ratio is of $q = 0.65$ .
Dropped from 80 cm, thus, the height of the first bounce is $a_1 = 80(0.65) = 52$ .