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Leya [2.2K]
3 years ago
15

Use substitution to determine which of the following points is a solution to the standard form equation below 5x-2y=10

Mathematics
2 answers:
lbvjy [14]3 years ago
6 0

Answer with Step-by-step explanation:

We have to determine which of the following points (-1,5), (1,5), (0,-5) and (0,5)

is the solution of 5x-2y=10

i.e. on putting the values of x and y in 5x-2y we must get 10

(-1,5)

5×(-1)-2×5 = -15 ≠ 10

Hence, it is not the solution of 5x-2y=10

(1,5)

5×1-2×5 = -5 ≠ 10

Hence, it is not the solution of 5x-2y=10

(0,-5)

5×0-2×(-5) = 10

Hence, it is the solution of 5x-2y=10

(0,5)

5×0-2×5 = -10 ≠ 10

Hence, it is not the solution of 5x-2y=10

Hence, Solution to the equation is:

(0, -5)

Brut [27]3 years ago
5 0
The right answer to this is (0,-5). If you substitute the points into the equation, it will give the answer 10. 
5x - 2y = 10 \\ let x = 0 \\ let y = -5 \\  \\ 5(0) - 2(-5) =10 \\ 10 = 10

The points (0,-5) satisfy the equation because both sides of the equation is equal to 10.
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Write the equation of the line that passes through the points (-7, 7) and (-6, -5).
defon

Answer:

y = -12x - 77

Step-by-step explanation:

The standard form of the equation is expressed as y = mx+b

m is the slope

Given the coordinate (-7, 7) and (-6, -5).

m = -5-7/-6+7

m = -12/1

m = -12

Get the intercept b

Substitute m= -12 and (-7 7) into y = mx+b

7 = -12(-7) + b

7 = 84 + b

b = 7 - 84

b = -77

Get the required equation

y = mx+b

y = -12x +(-77)

y = -12x - 77

This gives the required equation

4 0
2 years ago
Type the correct answer in the box
algol13

c = cost of food/med for cats

d = cost of food/med for dog

y = total cost/spent

What you know:

y = 6c + d              [has 6 cats and 1 dog]  

c = 2/3d - 5        [cost for cat is 5 less than 2/3 cost for dog]

y = $195

y = 6c + d    

Substitute/plug in what you know, plug in (2/3d - 5) for c and 195 for y

195 = 6(2/3d - 5) + d        Distribute/multiply 6 into (2/3d - 5)

195 = 4d - 30 + d        Combine like terms

195 = 5d - 30      Add 30 on both sides of the equation

225 = 5d        Divide 5 on both sides

$45 = d            

5 0
3 years ago
A supervisor finds the mean number of miles that the employees in a department live from work. Which mileage is within a z-score
Vikentia [17]
The z-score tells you how many standard deviations from the mean. 

<span>1.5 * 3.6 = 5.4 miles </span>

<span>So anything within 5.4 miles of the average (29). </span>

<span>The range would be: </span>
<span>29 - 5.4 = 23.6 </span>
<span>to: </span>
<span>29 + 5.4 = 34.4 </span>

<span>23.6 ≤ x ≤ 34.4 </span>

<span>Answer: </span>
<span>B) 24 miles</span>
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3 years ago
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7 0
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Answer:

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Step-by-step explanation:

8 0
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