Date;
Do the points (1,4) and (-1, 1) lie on
the 2x²+7y²= 9 ?

(1, 4) no; (-1, 1) yes.

Step-by-step explanation:

For a given ordered pair to lie on the graph of an equation, they must be able to produce a true statement when plugged in. Basically, what I'm saying is when we plug in (1, 4) and (-1, 1) in their respective x- and y-positions, the result must = 9 for them to lie on the graph. So we'll do just that.

First with (1, 4)

2(1)² + 7(4)² = 9

2(1) + 7(16) = 9

2 + 112 = 9

114 ≠ 9

114 is not 9; this is not a true statement, (1, 4) does not lie on the graph of the equation.

Next with (-1, 1)

2(-1)² + 7(1)² = 9

2(1) + 7(1) = 9

2 + 7 = 9

9 = 9

9 does equal 9; this is a true statement, (-1, 1) does lie on the graph of the equation.

e.

step-by-step explanation:

because there are always 10 numbers in a phone number.

question 1 is 8, question 2 is 9, question 3 is 24

step-by-step explanation:

now, the numbers they give you at the top are the key. from there, you just have to plug and chug! let's try 1, 2, and 3!

key: a=3, b=5, c=6

1. a+5

remember, a=3, so we plug that in to get 3+5=8

2. 15-c

c=6, so we plug that in to get 15-6=9

3. 4b

b=6, so we plug it in to get 4*6=24

time to try the rest on your own! if you put the answers below in a comment, i'll check them for you!