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3 years ago

PLS HELP ME ASAP ON THIS,

Mathematics

1 answer:

kkurt [141]3 years ago

7 0

1. The usable domain of the function is the time period from when the object was dropped (t=0) to when it hits the ground (h(t) = 0, at t=3). The appropriate choice for domain is ...
2) 0 ≤ t ≤ 3

The appropriate choice for range is the range of heights the object may have:
3) 0 ≤ h(t) ≤ 144

2. The domain is a count of people, ...
1) positive integers

The domain is an amount of money, ...
2) positive real numbers

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The function f(x)=(x-5)^2 +2 is not one-to-one. Identify a restricted domain that makes the function one-to-one, and find the in

Anon25 [30]

We have been given a quadratic function $f(x)=(x-5)^{2} +2$ and we need to restrict the domain such that it becomes a one to one function.

We know that vertex of this quadratic function occurs at (5,2).

Further, we know that range of this function is $[2,\infty)$ .

If we restrict the domain of this function to either $(-\infty,5]$ or $[5,\infty)$ , it will become one to one function.

Let us know find its inverse.

$y=(x-5)^{2}+2$

Upon interchanging x and y, we get:

$x=(y-5)^{2}+2$

Let us now solve this function for y.

$(y-5)^{2}=x-2\\
y-5=\pm \sqrt{x-2}\\
y=5\pm \sqrt{x-2}\\$

Hence, the inverse function would be $f^{-1}(x)=5+\sqrt{x-2}$ if we restrict the domain of original function to $[5,\infty)$ and the inverse function would be $f^{-1}(x)=5-\sqrt{x-2}$ if we restrict the domain to $(-\infty,5]$ .

8 0

3 years ago

Find f (0) and find x when f (x) =4

Anuta_ua [19.1K]

At x = 0, y-coordinate is at -4 so that means f(0) = -4

Now for f(x) = 4, we need to find any x-coordinates such that y-coordinates is 4.

There are two possible answer: x = -8 and x = 8

So x = -8, 8

Hope this helps.

4 0

3 years ago

Please help and thannks

blsea [12.9K]

Answer:

745

Step-by-step explanation:

3 0

3 years ago

Need help! What’s the answer to number two??

Alexxandr [17]

Answer:

V = 5(12)(7) which is F.

Step-by-step explanation:

V = LWH

L = 12

W = 5

H = 7

12 * 5 * 7

8 0

3 years ago

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Find the perimeter. Explain what you added together to get your answer. You can get partial credit for explaining steps, even if

sertanlavr [38]

Answer:

the area of the shape is 7.14

Step-by-step explanation:

First, find the area of the square:

2 in x 2 in = 4 in

then to find the area of the semi- circles add them together to make a circle

To find the area of the circle, use:

pi x radius^2

Since the diameter is 2 divide the diameter by 2 to get radius

3.14 x 1^2 = 3.14

The circle is 3.14 plus 4 ( the square ) = 7.14

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3 years ago