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2 years ago

Find the range of the function.

Mathematics

2 answers:

borishaifa [10]2 years ago

7 0

Answer:

y >= 8

Step-by-step explanation:

This equation is written in vertex notation, so we know the vertex is (-5,8). The parabola opens upward because the coefficient of the squared term is positive. Therefore, the vertex is the minimum, meaning all y values will be greater than (or equal to) the y-coordinate of the vertex (which is 8). When we convert this into a mathematical inequality, we get y>=8.

valentina_108 [34]2 years ago

3 0

Answer:

B. {y | y ≥ –8}

Step-by-step explanation:

i got it right on edg. 2020

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Suppose that p is the probability that a randomly selected person is left handed. The value (1-p) is the probability that the pe

solmaris [256]

Answer:

a) 1/2

b) 250

Step-by-step explanation:

The start of the question doesn't matter entirely, although is interesting to read. What we are trying to do is find the value for $p$ such that $1000p(1-p)$ is maximized. Once we have that $p$ , we can easily find the answer to part b.

Finding the value that maximizes $1000p(1-p)$ is the same as finding the value that maximizes $p(1-p)$ , just on a smaller scale. So, we really want to maximize $p(1-p)$ . To do this, we will do a trick called completing the square.

$p(1-p)=p-p^2=-p^2+p=-(p^2-p)=-(p^2-p+1/4)-(-1/4)=-(p-1/2)^2+1/4$ .

Because there is a negative sign in front of the big squared term, combined with the fact that a square is always positive, means we need to find the value of $p$ such that the inner part of the square term is equal to $0$ .

$p-1/2=0\\p=1/2$ .

So, the answer to part a is $\boxed{1/2}$ .

We can then plug $1/2$ into the equation for p to find the answer to part b.

$1000(1/2)(1-1/2)=1000(1/2)(1/2)=1000*1/4=250$ .

So, the answer to part b is $\boxed{250}$ .

And we're done!

3 0

1 year ago

$375, 319

frutty [35]

Answer:

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Step-by-step explanation:

7 0

2 years ago

15% of an amount is30 calculate the whole amount

Irina-Kira [14]

Answer:

200

Step-by-step explanation:

of an amount is 30. Calculate the whole amount using two different strategies, one of which must include a pictorial model. 15% = = The whole quantity is 200.

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1 year ago

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NikAS [45]

The temperature decreased by 4 degrees.

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2 years ago

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asambeis [7]

Answer:

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