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True [87]
3 years ago
14

Which represents the solution set to the inequality

Mathematics
1 answer:
Art [367]3 years ago
3 0
5.1(3 + 2.2x) \ \textgreater \  -14.25 - 6(1.7x + 4)
Lets expand both multiplications first.
15.3 + 11.22x \ \textgreater \  -14.25 - 10.2x - 24
Simplify down the right side.
15.3 + 11.22x \ \textgreater \  -38.25 - 10.2x
Add 38.25 to both sides.
53.55 + 11.22x \ \textgreater \  -10.2x
Subtract 11.22x from both sides.
53.55 \ \textgreater \  -21.42x
Divide by -21.42 on both sides. Because we're dividing by a negative, we need to change the inequality direction.
-2.5 \ \textless \  x
This means, out of the options available, (-2.5, ∞) is the correct answer.
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Colton earns $35 per lawn he mows. In kne day he mows four lawns and he works five days a week for 20 weeks a year. His expenses
yanalaym [24]

Answer:

1) Consider that he makes $1189 every two weeks engaged with work

2) An estimate of the opportunity cost of going on the fishing trip is $1450 in two weeks

3). If he decides to buy the truck, he has to work for about 7 weeks before going on the fishing trip

Step-by-step explanation:

From the given data

Total revenue from lawn mowing per year = 35 × 4× 5×20 = $1400

Similarly total operating costs = $2110

Total profit per annum = $11890

However total revenue per every 2 weeks = $1189

To buy the truck, sell his and go on the fishing trip it will cost = 5200-1500+250 =$3950 hence he has to work for about 6.64 or approximately 7 weeks before going on the fishing trip

2) Opportunity cost will factor in the cost of having someone work for him while away

The cost is = $250 + $120/day

Hence in two weeks it will cost him $1450

3) He has to work for about 7 weeks to be able to afford the truck

7 0
3 years ago
Giving brainliestttt
Nataly [62]

Answer:

Jupiter is so big that all the other planets in the solar system could fit inside it. More than 1,300 Earths would fit inside Jupiter. Jupiter is the fifth planet from the sun. From Earth, it is almost always the second brightest planet in the night sky.

7 0
2 years ago
Translate (3, – 4) down 3 units.<br> Then reflect the result over the y-axis.
Greeley [361]

Answer:

Step-by-step explanation:

Best advice: make a sketch (which I can't do here).

When you reflect in the x axis, only the y value changes...so (3, -4) reflects to (3,4).

Translating down (i.e. in the negative direction) again means the x value (the abscissa) doesn't change, only the y value (the ordinate)...so the final value of the point is (3,1).

3 0
3 years ago
The height of a small rise in a roller coaster track is modeled by () = −. + . + . , where x is the distance in feet from a supp
Reika [66]

Answer:

Maximum height is 7 feet

Step-by-step explanation:

Solution:-

- The complete question is as follows:

" The height of a small rise in a roller coaster track is modeled by f(x) = –0.07x^2 + 0.42x + 6.37, where x is the distance in feet from a supported at ground level.

Find the greatest height of the rise "

- To find any turning points ( minimum or maximum ) points of a trajectory expressed as function of independent parameter, we find the critical points of the trajectory where the first derivative of the dependent variable w.rt independent variable is set to zero.

- In our case the height of the roller coaster track (y) is function of the distance (x) from a supported pole at ground level.

                    f(x) = –0.07x^2 + 0.42x + 6.37

- Now set the first derivative equal to zero, and determine the critical values of x:

                    0 =  -0.14x + 0.42

                    x = 0.42 / 0.14 = 3 ft

- The critical value for the coaster track is at point 3 feet away from the supported pole at ground level. So the height f(x) at x = 3 ft, would be:

                    f ( x = 3 ) = max height

                    max height =  –0.07*3^2 + 0.42*3 + 6.37

                                        = 7 ft

5 0
3 years ago
Please help meeeeeeeee
Drupady [299]
Since the diameter is twice the radius, the diameter is 44.

2*22=44

:) I hope this helps!
7 0
3 years ago
Read 2 more answers
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