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const2013 [10]
2 years ago
15

Match each graph to its equation.

Mathematics
1 answer:
sertanlavr [38]2 years ago
5 0

Answer:

1- A

2- C

3- B

4- D

Step-by-step explanation:

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The sum of two numbers is 31.The product of the two numbers is 150. What are the two numbers?
Nikolay [14]
The two numbers I will call x and y.
x + y = 31
x * y = 150

You then solve for one variable in either equation and substitute it into the other equation.

x + y = 31
x = 31 - y

Then you plug it in:
x * y = 150
(31 - y) * y = 150
-y² + 31y = 150
y² - 31y + 150 = 0            Then factor:
(y - 6)(y - 25) = 0
y - 6 = 0        y - 25 = 0
y = 6             y = 25

When you plug y into the original equations, it comes out that the two numbers are 6 and 25. You can check your work because 6+25 = 31 and 6*25 = 150. Hope this helps! :)
5 0
3 years ago
Chloe has 12 commemorative plates and 18 commemorative spoons. She wants to display them in groups throughout her house, each wi
Semenov [28]

6 plates with 3 spoons or 9 plates with 2 spoons

8 0
2 years ago
If I start a road trip with 10,425 miles on my auto meter and I end it with 23,840 miles showing how many miles was my trip
denis23 [38]

Answer:

13,415 miles

Step-by-step explanation:

Final position - initial position = Miles traveled:

23,840 miles - 10,425 miles = 13,415 miles

3 0
2 years ago
NEED HELP QUICK!!
sashaice [31]

Answer:

Y = negative x + 9

Step-by-step explanation:

Find the equation of the line for side S-

m= 4-1/1-4 = 3/-3 = -1

<u>The Gradient is -1</u>

Since parallel lines share the same gradient, it should be either of the first two options.

We can see side Q shares the same gradient: 3-6/6-3= -1

Find the equation of the line of side Q-

y-y1= m(x-x1)

y-6= -1(x-3)

y-6=-x+3

<u>y= -x+9</u>

4 0
2 years ago
Read 2 more answers
How many solutions are there to the equation below 8x + 11 = 8x + 8
Nataly [62]

8x + 11= 8x + 8

8x - 8x = 8 - 11

0 = - 3 False


No solutions.

Answer is B.0.

8 0
2 years ago
Read 2 more answers
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