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Korvikt [17]
2 years ago
12

In the United States, the maintenance and construction of airports, transit systems, and

Mathematics
1 answer:
torisob [31]2 years ago
3 0

Answer:

Step-by-step explanation:

uy

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What are the zeros of the function?
cluponka [151]

The function is:

f ( x ) = x² - x - 72

This is a quatdratic function. So we can find the zeroes of the function with the formula:

x 1/2 = ( - b +/- √(b² - 4 ac) ) / ( 2a )

And we have: a = 1, b = - 1 and c = - 72

x 1/2 = ( 1 +/- √((-1)² - 4 · 1· ( - 72 )) ) / 2

x 1/2 = ( 1 +/- √( 1 + 288 ) ) / 2

x 1/2 = ( 1 +/- √289 ) / 2

x 1/2 = ( 1 +/- 17 ) / 2

x 1 = ( 1 - 17 ) 2 = - 16 / 2 = - 8

x 2 = ( 1 + 17 ) / 2 = 18 / 2 = 9

Answer: The zeroes are - 8 and 9.

7 0
3 years ago
There are 768 beds in a hospital, each floor has 64beds, how many floors are there
Alja [10]

Answer:

There are 12 floors in a hospital.

Step-by-step explanation:\

Each floor has 64 beds, but the hospital has totally 768 beds

So, \frac{768}{64} = 12 (floors)

4 0
3 years ago
Please find the value of x
Margarita [4]

Answer:

x=5

Step-by-step explanation:

The sum of the angles of a triangle are 180 degrees

The box is a right angle which is 90 degrees

60+6x+90 = 180

Combine like terms

150+6x= 180

Subtract 150 from each side

150-150+6x = 180-150

6x = 30

Divide by 6

6x/6 =30/6

x = 5

5 0
3 years ago
Which inequality would result in the shaded solution on the unit circle to the right?
omeli [17]
<h3>Answer: Choice B</h3>

Explanation:

Cosine is positive in quadrants I and IV, but quadrant IV isn't shaded in so we can rule out choice A.

Sine is positive in quadrants I and II. So far it looks like choice B could work. In fact, it's the answer because sin(pi/6) = 1/2 and sin(5pi/6) = 1/2. So if 0 ≤ sin(x) < 1/2, then we'd shade the region between theta = 0 and theta = pi/6; as well as the region from theta = 5pi/6 to theta = pi.

Choice C is ruled out because tangent is positive in quadrants I and III, but quadrant III isn't shaded.

Choice D is ruled out for similar reasoning as choice A. Recall that \sec(x) = \frac{1}{\cos(x)}

5 0
2 years ago
Read 2 more answers
What is the center and radius of the circle with the given equation (x-1)^2+(y+1)^2=4?
Mrrafil [7]
<span>The center is x = 1, y = -1.
The radius is 2. </span>
4 0
2 years ago
Read 2 more answers
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