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denis23 [38]
3 years ago
5

Let x represent one number and let y represent the other number. The sum of two numbers is negative 6. If one number is subtract

ed from the​ other, their difference is 8. Use the given conditions to write a system of equations. Solve the system and find the numbers.
Mathematics
1 answer:
GalinKa [24]3 years ago
7 0

Answer:

x=7 and y=-1

Step-by-step explanation:

X+Y=6 OR X=6-Y  ...(1)

X-Y=8    ...(2)

substitue X=6-Y in (2)

(6-Y)-Y=8

6-2Y=8

-2Y=8-6

-2Y=2

Y=2/-2\Y=-1 ANS.

for x, substitute Y=-1 in (1) above

X-(-1)=8

X=8-1

X=7 ANS.

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Step-by-step explanation:

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The local bike shop sells a bike and accessories package for $266. If the bike is worth 6 times more than the accessories, how m
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Write a list of 6 ordered pairs to show the height of the candle in inches (y) as a function of time in hours (x) from the first
Bumek [7]

A function assigns the values. The list of 6 ordered pairs to show the height of the candle inches are (1,8.5), (1,8), (1,7.5), (1,7), (1,6.5), and (1,6).

<h3>What is a Function?</h3>

A function assigns the value of each element of one set to the other specific element of another set.

The rate at which the candle burns down is 0.5 inches per hour. Now, if we substitute the value of the point (0,9) in the function of a line, and the rate as well, we will get,

y = mx +c

9 = -0.5(0) + c

c = 9

Now, the equation that can represent the height of the candle at any hour after it is lit will be,

y= -0.5x+9

substitute the value of x as 1, 2, 3, 4, 5, and 6 to get the value of y and form ordered pairs.

  • y=-0.5(1)+9 = 8.5 inches  ⇒ (1,8.5)
  • y=-0.5(2)+9 = 8 inches  ⇒ (1,8)
  • y=-0.5(3)+9 = 7.5 inches  ⇒ (1,7.5)
  • y=-0.5(4)+9 = 7 inches  ⇒ (1,7)
  • y=-0.5(5)+9 = 6.5 inches  ⇒ (1,6.5)
  • y=-0.5(6)+9 = 6 inches  ⇒ (1,6)

Hence, the list of 6 ordered pairs to show the height of the candle inches are (1,8.5), (1,8), (1,7.5), (1,7), (1,6.5), and (1,6).

Learn more about Function:

brainly.com/question/5245372

#SPJ1

8 0
1 year ago
20 points! Please answer will mark brainlest.
DanielleElmas [232]

Answer:

30°

Step-by-step explanation:

3x + (90 - 2x) = 180 - 60

x + 90 = 120

x = 120 - 90

x = 30°

7 0
2 years ago
Read 2 more answers
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