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sdas [7]
3 years ago
12

Find the solution of this system of equations 2x-2y=-12 4x-7y=-15

Mathematics
1 answer:
ad-work [718]3 years ago
6 0
2x - 2y = -12
- 2y = -2x - 12
y = x + 6

4x - 7 (x + 6) = -15
4x - 7x - 42 = -15
-3x - 42 = -15
-3x = 27
x = -9

y = -9 + 6
y = -3

(-9 , -3) is the solution
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5 0
3 years ago
the sum of four consecutive integers is 2174. what are the integers? (continuation) the smallest of four consecutive integers is
timofeeve [1]
The smallest of the four numbers is x.
Since the four numbers are consecutive, this means that each number is one more than the previous.
Therefore, the four numbers are:
x
x + 1
x+1 + 1 = x+2
x+2 + 1 = x+3

Now, we are given that the sum (s) of the four numbers is 2174
This means that:
s = x+x+1+x+2+x+3
s = 4x + 6

We are given that s = 2174. Substitute with s in the above equation and solve for x as follows:
2174 = 4x + 6
4x = 2174 - 6
4x = 2168
x = 2168 / 4
x = 542

Based on the above calculations, the four numbers are:
542, 543, 544 and 555

7 0
3 years ago
Read 2 more answers
Your school wants to take out an ad in the paper congratulating the basketball team on a successful​ season, as shown to the rig
iogann1982 [59]

Answer:

x_1 =-14.43 in, x_2 = 2.426in

Since the measurement can't be negative the correct answer for this case would be x =2.426 in

Step-by-step explanation:

Let's assume that the figure attached illustrate the situation.

For this case the we know that the original area given by:

A_i = 7 in *5 in = 35in^2

And we know that the initial area is a half of the entire area in red A_i = \frac{A_f}{2}, so then:

A_f = 2 A_ i =2*35 = 70

And we know that the area for a rectangular pieces is the length multiplied by the width so we have this:

70 = (x+7) (x+5)

We multiply both terms using algebra and the distributive property and we got:

70 =x^2 +12 x +5

And we can rewrite the expression like this:

x^2 +12 x -35 = 0

And we can solve this using the quadratic formula given by:

x = \frac{-b \pm \sqrt{b^2 -4ac}}{2a}

Where a = 1, b =12 and c=-35 if we replace we got:

x = \frac{-12 \pm \sqrt{(12)^2 -4(1)(-35)}}{2*1}

And the two possible solutions are then:

x_1 =-14.43 in, x_2 = 2.426in

Since the measurement can't be negative the correct answer for this case would be x =2.426 in

3 0
3 years ago
Question 1 of 20
QveST [7]

The Answer is d

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7 0
3 years ago
Does anyone know a rule that work for all of these
Oxana [17]
Divide each term in the y column by 2 to go from this list {8, 2, 0, 2, 8} to this list {4, 1, 0, 1, 4}

This list {4, 1, 0, 1, 4} is a bunch of perfect squares so it suggests that y = x^2

However we must double the values to get back to the original list. So the rule is y = 2*x^2

3 0
3 years ago
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