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Zielflug [23.3K]
2 years ago
15

Which expression is equivalent to -3 (2m - 1) - n?

Mathematics
1 answer:
Semenov [28]2 years ago
7 0

Answer:

−6−m+3

Explanation

-3 (2m - 1) - n?

Distribute

−3(2−1)−

−6+3−

Rearange

−6+3−

−6−m+3

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A food packet is dropped from a helicopter and is modeled by the function f(x) = −15x2 + 6000. The graph below shows the height
melisa1 [442]

General Idea:

Domain of a function means the values of x which will give a DEFINED output for the function.

Applying the concept:

Given that the x represent the time in seconds, f(x) represent the height of food packet.

Time cannot be a negative value, so

x\geq 0

The height of the food packet cannot be a negative value, so

f(x)\geq 0

We need to replace -15x^2+6000 for f(x) in the above inequality to find the domain.

-15x^2+6000\geq 0 \; \;  [Divide \; by\; -15\; on\; both\; sides]\\ \\ \frac{-15x^2}{-15} +\frac{6000}{-15} \leq \frac{0}{-15} \\ \\ x^2-400\leq 0\;[Factoring\;on\;left\;side]\\ \\ (x+200)(x-200)\leq 0

The possible solutions of the above inequality are given by the intervals (-\infty , -2], [-2,2], [2,\infty ). We need to pick test point from each possible solution interval and check whether that test point make the inequality (x+200)(x-200)\leq 0 true. Only the test point from the solution interval [-200, 200] make the inequality true.

The values of x which will make the above inequality TRUE is -200\leq x\leq 200

But we already know x should be positive, because time cannot be negative.

Conclusion:

Domain of the given function is 0\leq x\leq 200

4 0
3 years ago
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What is the standard form of the following equation:
Damm [24]

Answer:

My answer is D) y = 2(x - 2.5)^2 + 6

I hope it helps


7 0
2 years ago
Which number is rational?<br> √2<br> 10<br> 016
erica [24]
16 I think is a rational number
6 0
3 years ago
You need some cement to pave your driveway. The size of the driveway is 10 feet wide by 30 feet long by 13 foot deep. What volum
Anna71 [15]

Answer:

3,900

Step-by-step explanation:

What i did exactly to get my answer was i multiplied LxWxH

So meaning i did 10x 30 x 13 which got me this answer 3,900

I really try to be a good helper so I hope this helps you Good Luck!!!


8 0
3 years ago
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I want the answer to this problem<br> 3(x+2)-x=38
maks197457 [2]

Answer:

x = 16

Step-by-step explanation:

3(x+2)-x=38

Distribute

3x+6 -x = 38

Combine like terms

2x+6 = 38

Subtract 6 from each side

2x+6-6 = 38-6

2x = 32

Divide each side by 2

2x/2 = 32/2

x = 16

5 0
2 years ago
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