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Lina20 [59]
3 years ago
9

Which of the following equations could represent the points in the table? Select all that apply.

Mathematics
1 answer:
schepotkina [342]3 years ago
4 0

Answer:

Options (A) and (C)

Step-by-step explanation:

From table attached,

Let the equation of a linear equation that represents the input-output values in the table is,

y - y' = m(x - x')

Where (x', y') is a point lying on the graph.

And m = slope of the line passing through two points (x_1,y_1) and (x_2,y_2)

m = \frac{y_2-y_1}{x_2-x_1}

Slope of the line passing through (0, 11) and (1, 5) will be,

m = \frac{11-5}{0-1}

m = -6

Therefore, equation of the line passing through (0, 11) and slope = -6 will be,

y - 11 = -6(x - 0)

Equation of a line passing through (1, 5) and slope = -6 will be,

y - 5 = -6(x - 1)

Equation of a line passing through (2, -1) and slope = -6 will be,

y + 1 = -6(x - 2)

Equation of a line passing through (3, -7) and slope = -6 will be,

y + 7 = -6(x - 3)

Therefore, Options (A) and (C) are the correct options.

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Simplify the given expression. (18+ - 8)2​
JulsSmile [24]

Answer:

20

Step-by-step explanation:

Our expression:

2 * (18 + - 8)

Plus then minus (+ -) is the same as just minus ( - )

Some examples:

1 + (+ 1) = 2

1 + (- 1) = 0

1 - (+ 1) = 0

1 - (- 1) = 2

Thus, 18 + - 8 is the same as 18 - 8

2 * (18 + - 8) =

= 2 * (18 - 8) =

= 2* (10) =

= 2 * 10 =

= 20

Answer: 20

6 0
3 years ago
The elves ate all 327 cookies in a 1/2 hour. What is the rate in cookies per hour?
Elenna [48]
Well.. an hour is.. 60 seconds.. but, 1/2 an hour is.. 30 seconds.. And if the elves ate 327 cookies, you would have to divide 327/100 * 30, and that would be.. 1,090 rates in cookies that they ate per hour! Hope I was able to help! And.. if you can, please give me Brainliest! I would really appreciate it! Merry Christmas, and God Bless you, and your whole family! Be/stay safe, and have a good rest of your day! :)
8 0
3 years ago
Is the ordered pair
FrozenT [24]

Answer:

no, because for x=-3, y would have to be -31

Step-by-step explanation:

boy oh boy (or girl oh girl) - you wrote this in a horrible, horrible format.

I can only guess what your problem and the fitting answer would be.

y = -2×x^2 + 3×x - 4

-4 = -2×(-3)^2 + 3×(-3) - 4

-4 = -2×9 - 9 - 4

-4 = -18 - 9 - 4

-4 = -31

and that is wrong. for (-3,-4) to be on the graph of the function, y would have to be -4 when using x=-3 in the function. but y = -31 for x= -3.

8 0
3 years ago
LAST QUESTION ON MY TOPIC!!! PLEASE
nataly862011 [7]

Givens

<em><u>Slower car</u></em>

r = r

t = 12 hours

d = ?

<em><u>Faster car</u></em>

r = r + 20

t = 8 hours

d = ?

It doesn't matter what the exact distance is. You just have to know that the 2 distances are equal ie going to the mountains from his home is the same distance as going from the mountains to his home.

d = r * t

r * 12 hours = (r + 20)* 8 hours.   Remove the brackets on the right

r*12 = 8r + 20*8

r*12 = 8*r + 160

r*12 - 8r = 8r - 8r + 160

4r = 160

r = 40 miles / hour

=================

Slower Ride determines the distance.

d = r*t

d = 40 * 12

d = 480

Check

Use the faster rate (r + 20) = 40 + 20 = 60 mph

60 * 8 = 480. Both distances work out to be the same.

5 0
3 years ago
PLS<br> HELP<br> ILL<br> GIVE<br> MORE<br> IF<br> ITS<br> RIGHT
NNADVOKAT [17]
3

Circumference is 2πr, and the large cake has a radius 3 times the radius of the small cake. So, the circumference of the large cake will be 3 times that of the small cake.
4 0
3 years ago
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