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gregori [183]
3 years ago
6

Solution of this equation

Mathematics
1 answer:
lara31 [8.8K]3 years ago
5 0
2.5y + 3x = 27
5x - 2.5y = 5

Align the variables to make solving this easier.

2.5y + 3x = 27
-2.5y + 5x = 5

You can see that the 2.5y and -2.5y cancel each other out. Then add the 3x and 5x, and 27 + 5.

3x = 27
5x = 5

8x = 32

Divide both sides by 8.

x = 4

Now input that x into one of the equations to get y. 

2.5y + 3(4) = 27
2.5y + 12 = 27
2.5y = 15
y = 6

The answer to this system of equations is x = 4, y = 6. (4, 6)
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Answer:

1 DVD costs 15 cents.

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3 years ago
1 (6x + 21) - 4x = 15
valina [46]

Answer:

7

Step-by-step explanation:

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7 0
3 years ago
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Gnoma [55]

Answer:

3)  Functional

4)IS NOT Functional

Step-by-step explanation:

3) Each of the X  Do not have the same Y number.

4)One of the X Numbers have the same Y number

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4 0
3 years ago
If the interval (a, ∞) describes all values of x for which the graph of 4/x^2-6x+9 is decreasing, what is the value of a?
harkovskaia [24]

Answer:

a = - 1.1

Step-by-step explanation:

Condition for a single variable function f(x) to be decreasing is f'(x) < 0.

So, in our case, f(x) = \frac{4}{x^{2}} - 6x + 9.

Then, differentiating with respect to x on both sides we get,

f'(x) = 4(- 2)\frac{1}{x^{3}} - 6 < 0

⇒ - \frac{8}{x^{3}} - 6 < 0

⇒ \frac{8}{x^{3}} + 6 > 0

{Dividing both sides with - 1 and hence the inequality sign changes}

⇒ \frac{8}{x^{3}} > - 6

⇒ 8 > - 6x³ {Multiplying both sides with x³}

⇒ 6x³ > - 8 {Interchanging the sides}

⇒ x^{3} > - \frac{8}{6}

⇒ x > - 1.1

Therefore, a = - 1.1. (Answer)

5 0
3 years ago
Read 2 more answers
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