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r-ruslan [8.4K]
3 years ago
5

The sum of two numbers must be 14 or greater. The product of the two numbers must be less than 40. Which system of inequalities

represents this situation?
A.{x+y≥14xy<40

B.{x+y≥14xy<40

C.{x+y>14xy<40

D.{x+y>14xy<40
Mathematics
1 answer:
Anettt [7]3 years ago
4 0

Answer:

A

Step-by-step explanation:

x+y≥14

xy<40

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Write the slope intercept form of each line.
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Answer:

8

Step-by-step explanation:

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2 years ago
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In a certain neighborhood, there's a sagging power line between two utility poles. The utility poles are 50 feet tall and 120 fe
e-lub [12.9K]
<h3>Answer:  33.75 feet</h3>

In fraction form, this value is equal to 135/4

33.75 ft is equivalent to 33 ft, 9 inches.

===============================================

Explanation:

Refer to the diagram below.

The key point to start with is point H, which is the vertex of the parabola.

Recall that vertex form is

y = a(x-h)^2 + k

What we'll do is plug in the vertex (h,k) = (60,30) which is the location of point H. We'll also plug in (0,45) which is the y intercept, aka the location of point C.

So,

y = a(x-h)^2 + k

y = a(x-60)^2 + 30 .... plug in vertex

45 = a(0-60)^2 + 30 .... plug in y intercept coordinates

45 = a(-60)^2 + 30

45 = a(3600) + 30

45 = 3600a + 30

45-30 = 3600a

3600a = 15

a = 15/3600

a = 1/240

This then means:

y = a(x-h)^2 + k

y = (1/240)(x-60)^2 + 30

This is the equation of our parabola. Plug in x = 30 to determine the height of point K

y = (1/240)(x-60)^2 + 30

y = (1/240)(30-60)^2 + 30

y = (1/240)(-30)^2 + 30

y = (1/240)(900) + 30

y = 15/4 + 30

y = 15/4 + 120/4

y = 135/4

y = 33.75

Therefore, the height of the power line, when it is 30 feet away from one of the poles, is 33.75 feet. This is the y coordinate of point K.

Side note: 33.75 ft = 33 ft + 0.75 ft = 33 ft + 12*0.75 in = 33 ft + 9 inches

8 0
2 years ago
PLEASE HELP WILL GIVE BRAINLIEST
zalisa [80]

If we look at the rest of the input and output, we also realize that:

         output = input + 5

Thus if the input is 'n' then the output is 'n+5'

Hope that helps!

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Which model represents the product 3/4 x 1/3
dlinn [17]

Answer:

The first one

Step-by-step explanation:

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What is the inverse function of f(x)=x/x-2
gtnhenbr [62]

0.87

Step-by-step explanation:

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