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Brut [27]
3 years ago
11

If x + 5y = -11 and 2x − 3y = 17, what is the value of x + y?

Mathematics
1 answer:
aev [14]3 years ago
6 0
X+5y=-11 (1)
2x-3y=17 (2)

2(1)-(2)
2x+10y-2x+3y=-22-17
13y=-39
y=-3

Sub y=-3 in (1)
x+5(-3)=-11
x=4

So x+y= -3+4 =1



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Ruby is deciding between two truck rental companies. Company A charges an initial fee of $70 for the rental plus $2.50 per mile
almond37 [142]

The equation of each function

A(x) = 2.5 x + 70

B(x) = 1.5 x + 90

Company A would be cheaper if Ruby needs to drive 15 miles

Step-by-step explanation:

Ruby is deciding between two truck rental companies

  • Company A charges an initial fee of $70 for the rental plus $2.50 per mile driven
  • Company B charges an initial fee of $90 for the rental plus $1.50 per mile driven
  • A(x) represents the amount company A would charge if Ruby drives x miles, and B(x) represents the amount company B would charge if Ruby drives x miles

Write the equation for each function and determine which company would be cheaper if Ruby needs to drive 15 miles with the rented truck

∵ Company A charges an initial fee of $70 for the rental

∵ It costs $2.5 per mile driven

∵ A(x) represents the amount would charge if Ruby drives x miles

∴ A(x) = 2.5 x + 70

∵ Company B charges an initial fee of $90 for the rental

∵ It costs $1.5 per mile driven

∵ B(x) represents the amount would charge if Ruby drives x miles

∴ B(x) = 1.5 x + 90

The equation of each function

A(x) = 2.5 x + 70

B(x) = 1.5 x + 90

∵ Ruby needs to drive 15 miles with the rented truck

∴ x = 15

- Substitute x by 15 in the two equation to find the cheaper one

∵ A(15) = 2.5(15) + 70

∴ A(15) = 107.5

The amount Company A would charge if Ruby drives 15 miles is $107.5

∵ B(15) = 1.5(15) + 90

∴ B(15) = 112.5

The amount Company B would charge if Ruby drives 15 miles is $112.5

∵ $107.5 is less than $112.5

∴ A(15) < B(15)

∴ The company A would be cheaper

Company A would be cheaper if Ruby needs to drive 15 miles

Learn more:

You can learn more about linear function in brainly.com/question/4326955

#LearnwithBrainly

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dezoksy [38]
I hope this helps you



f (1+1)= f (1)+8


f (2)= 27+8


f (2)=35



f (2+1)= f (2)+8



f (3)= 35+8


f (3)=43



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Given:
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