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11111nata11111 [884]
2 years ago
14

If 5 times the square of an integer is added to 3 times the integer, the result is 2. Find the integer. (Simplify your answer co

mpletely.)
Mathematics
1 answer:
saveliy_v [14]2 years ago
8 0

Hello from MrBillDoesMath!

Answer:  x = -1

Discussion:

Let x be the unknown integer. Then

5 x^2 + 3x = 2 or

5x^2 + 3x -2 = 0  or   (factoring)

(x+1) ( 5x -2) = 0

so x = -1  (the other value of x, +2/5, is not an integer)

Thank you,

MrB


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A car travels 2 1/3 miles in 3 1/2 minutes at a constant speed. Write an equation to represent the car travels in miles and minu
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Answer:

d = 0.666t , where d is in miles and t is in minutes.

d = 39.94h, where d is in miles and h is in hours.

Step-by-step explanation:

A car travels 2\frac{1}{3} = 2.33 miles in 3\frac{1}{2} = 3.5 minutes at a constant speed.

Let the relation between the distance (d) traveled by car in miles after traveling t minutes is d = kt ......... (1)

Now, putting d = 2.33 miles and t = 3.5 minutes in the above equation we get,

2.33 = 3.5k

⇒ k = 0.666 (Approx.)

So, the equation (1) becomes d = 0.666t. (Answer)

Let us assume that the relation between the distance (D) traveled by car in miles after traveling h hours is d = Kh ............ (2)

Now, putting D = 2.33 miles and T = 3.5/60 = 0.058 hours in the above equation, we get

2.33 = 0.058K

⇒ K = 39.94

So, the equation (2) we get, d = 39.94h (Answer)

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3 years ago
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Answer:

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Answer:

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Pre image ABCD was dilated to be image A’B’C’D, where the center of dilation is the origin. What scale factor was used in the di
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Answer:

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Step-by-step explanation:

we know that

The dilation is a non-rigid transformation that produce similar figures

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satela [25.4K]
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