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Juli2301 [7.4K]
3 years ago
10

Is the point (8, -3) a solution to the linear equation 2x + 3y = 12

Mathematics
1 answer:
11111nata11111 [884]3 years ago
5 0

Answer:

No, (8, -3) is not a solution.

Step-by-step explanation:

2x + 3y = 12

(substitute the variables for the point; x = 8 & y = -3)

2(8) + 3(-3) = 12

16 - 9 = 12

7 ≠ 12

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Becca and Kimberly are running at a constant speed in a marathon. Becca runs at 4.5 miles per hour. Kimberly’s progress is shown
Georgia [21]

Answer:

Part A: Kimberly

Part B:

Becca = 22.5 miles, Kimberly = 25 miles

Step-by-step explanation:

Part A:

Given that Becca runs at a constant speed of 4.5 miles per hour, use the table to find the constant speed that Kimberly runs, and compare who runs faster.

Let x = time

y = distance

k = speed = y/x

Equation for each person can be written as: y = kx

Therefore:

✔️Equation for Becca if k = 4.5

y = 4.5x

✔️Find k (speed) of Kimberly using (2, 10):

Speed (k) = y/x

k = 10/2

k = 5 miles per hour

Equation for Kimberly would be:

y = 5x

Comparing their speed, Kimberly runs faster because she covers more miles per hour than Becca does.

Part B:

For Becca, substitute x = 5 into Becca's equation, y = 4.5x

Thus:

y = 4.5*5 = 22.5 miles

For Kimberly, substitute x = 5 into Kimberly's equation, y = 5x

Thus:

y = 5*5 = 25 miles

5 0
2 years ago
A horse's mane grows at the rate of 6/5 centimeters per month. How many months will it take the horse's mane to grow 24/10 centi
Fittoniya [83]
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3 years ago
Given the function f(x) = 0.65x + 117, what<br> s the x-value of the zero?
swat32

Answer:

x = -180

Step-by-step explanation:

0 = 0.65x + 117

-117 = 65x/100

cross-multiply to solve for 'x':

65x = -11700

x = -11700/65

x = -180

8 0
2 years ago
Sandy and Alex are married, with no dependents. They wish to file a joint tax return. Both of them work, but their combined sala
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Answer:I'm pretty sure it would be C but that might be wrong

Step-by-step explanation:

7 0
2 years ago
Oh whoa [x3]
il63 [147K]
The answer is D. -(4x-3)(5x-2)
6 0
3 years ago
Read 2 more answers
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