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djyliett [7]
3 years ago
9

Y = -4x + 5 4x + y = 10

Mathematics
1 answer:
valina [46]3 years ago
7 0

Answer:

x = 5

Step-by-step explanation:

y = -4x + 5 4x + y = 10

substitute the y in the second equation with

(-4x +5).

4x + (-4x + 5) = 10 then add like terms.

x + 5 = 10 solve for x.

10 - 5 = 5 make sure to check your answer.

5 + 5 = 10

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Complete the square. We must do this for x² - 6x and y² - 10y separately.

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Square -3 to get 9. Add 9,
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Because we've added 9 on one side of the equation, we have to remember to do the same on the other side.

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Now factor x² - 6x + 9 to get (x - 3)² and do the same thing with y² - 10y.

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Divide -10 by 2 to get -5.
Square -5 to get 25.
Add 25 on both sides.

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Factor y² - 10y + 25 to get (y - 5)²

(x - 3)^{2}+ (y - 5)^{2} = 90

Now our equation is in the correct form. We can easily see that h is 3 and k is 5. (not negative because the original equation has -h and -k so you must multiply -1 to it)

Since (h, k) represents the center, (3, 5) is the center and 5 is the y-coordinate of the center.
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The <em>speed</em> intervals such that the mileage of the vehicle described is 20 miles per gallon or less are: v ∈ [10 mi/h, 20 mi/h] ∪ [50 mi/h, 75 mi/h]

<h3>How to determine the range of speed associate to desired gas mileages</h3>

In this question we have a <em>quadratic</em> function of the <em>gas</em> mileage (g), in miles per gallon, in terms of the <em>vehicle</em> speed (v), in miles per hour. Based on the information given in the statement we must solve for v the following <em>quadratic</em> function:

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To learn more on quadratic functions: brainly.com/question/5975436

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