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tekilochka [14]
3 years ago
12

For the graph, what is a reasonable constraint so that the function is at least 200?​

Mathematics
1 answer:
Anastasy [175]3 years ago
3 0

Answer:

0\leq x\leq 15

Step-by-step explanation:

I think your question missed key information, allow me to add in and hope it will fit the orginal one

<em>For the graph below, what should the domain be so that the function is at least 200?   graph of y equals minus 2 times the square of x plus 30 times x plus 200 </em>

My answer:

Given the above information, we have:

y=-2x^2+30x+200

To make  the function is at least 200, it means that:

y=-2x^2+30x+200 ≥ 200

<=> -2x^2+30x ≥ 0

<=> x(-2x+30) ≥ 0

This is the product of two numbers hence would be positive only if either both are positive or both are negative

  • Case I: Both positive

x ≥ 0 and  (-2x+30) ≥ 0

<=> 0 ≤ x ≤ 15

  • Case II: Both negative

Then we get

x\leq 0 and -2x+30\leq 0\\\\x\leq 0 and x\geq 15

This is inconsistent as a value cannot be less than 0 and greater than 15

=> our correct answer is0\leq x\leq 15

Hope it will find you well.

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A student has learned that test scores in math are determined by this quadratic function: s(t) = -(t-6)^2 + 99
ser-zykov [4K]

Answer:

a. 6,  b. 99, c. 63

Step-by-step explanation:

A)  The function s(t) is in the vertex form. The standard vertex form is a(x-h)+k where the vertex is (h,k). The vertex is the highest (or lowest in some cases) point of the graph, so if we use s(t) to get the vertex we get that h=6 and k=99. This means that for a student to get a perfect score they need to study 6 hours

B) We can just take the k value from the first question because that's the highest value for s(t), so the highest score will be 99

C) For this one just plug in 0 for time, so -(0-6)^2+99. This equals -(-6)^2+99, which equals 99-36 =63

4 0
3 years ago
Helppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp
kobusy [5.1K]

Answer:

2. -1/3x > 12

3. 5+x > 7

4.10-x < 30

5. 2+5x ≤ 3

6.6-2x ≥ 17

Step-by-step explanation:

7 0
3 years ago
For the filming of a recent sci-fi movie, a model spaceship made to a scale of 1:16 was used. In the movie, the ship is supposed
Lunna [17]

Answer: 6.5 feets

Step-by-step explanation:

The model of the spaceship was made to a scale of 1:16. Assuming the same unit of measurement used in the actual spaceship was also used in the model space ship and it was in feets. This means 1 foot on the model spaceship represented 16 feets on the actual spaceship.

In the movie, the ship is supposed to be 104 feet long. Let x be the corresponding length on the model. Therefore,

1:16 = x:104

1/16 = x/104

16x = 104

x = 104/16 = 6.5feets

So the length of the model is 6.5 feets

8 0
3 years ago
Devon's father is installing new wood flooring. He bought boards that are 10 ft long, 3/4 in. thick, and 11/24 in. wide. Determi
kvv77 [185]

Answer:

36 boards

Step-by-step explanation:

The boards are as long as the room, so I only had to worry about the width. If the boards were 1/2 ft wide, I would need 2 boards for every foot of width. For 16 ft, I would need 32 boards.

Instead of dividing, I wrote the equivalent multiplication by multiplying by the reciprocal of 11/24 (the reciprocal of 11/24 is 24/11)

I simplified by dividing both 2 and 24 by 2, and both 11 and 33 by 11.

Therefore he needs 36 boards

5 0
3 years ago
Do 4x and 15 + x have the same value when x is 5? How do you know?
alexandr402 [8]

Answer:

yes

Step-by-step explanation:

If x = 5,

4x=4*5=20

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They're both the same.

4 0
3 years ago
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