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Soloha48 [4]
3 years ago
8

How to find restrictions for x?? 3. F(x)=2 sqrt x-4

Mathematics
1 answer:
stealth61 [152]3 years ago
4 0

Answer:

  1. none
  2. none
  3. x ≥ 4

Step-by-step explanation:

The restrictions placed on the independent variable in a function are those necessary to ensure that the function is defined for all allowed values of that variable.

In the graphs of problems 1) and 2), we see that the functions are defined for all values of x, so there are no restrictions.

__

3. For the function ...

  f(x)=2\sqrt{x-4}

the value under the radical cannot be negative. The square root function is not defined for negative values, so the restriction is ...

  x -4 ≥ 0

  x ≥ 4 . . . . . . . add 4 to both sides of the inequality

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By checking the x coordinates, I saw there was two -2, but the output was different, so one of them had to be taken out to make it a function.

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Lin parachutes from a plane at a height of 22,000 ft above sea level. Several minutes later, she notes from an instrument on her
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3 years ago
Math can you guys help me PLS
MissTica

Answer:

The surface area of the triangular prism is 84 square centimeters.

Step-by-step explanation:

The surface area of a figure is exactly what it means, the area of its outer surface or the added areas of each face that makes the figure.

Nets are a way to find surface area easier because it is an outline of the faces of the 3d figure.

But since we don’t have a net, we will just find the area of each face that forms this right triangular prism:

The two congruent triangular bases:

1/2 x 4 x 3 = 6 cm^2

6 x 2 = 12 cm^2

Lateral bottom rectangular face:

6 x 3 = 18 cm^2

Lateral to the right rectangular face:

5 x 6 = 30 cm^2

Lateral to the left rectangular face:

4 x 6 = 24 cm^2

Add up all the values:

12 + 18 + 30 + 24 = 84

The SA is 84 square centimeters

4 0
3 years ago
What is 7/45 simplified
Akimi4 [234]

Answer:

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Step-by-step explanation:

7/45 is the simplified terms

8 0
3 years ago
A patrolman spends 25% every day completing paperwork. The patrolman’s shift each day is 8 hours. How much of his time does he s
fredd [130]
Assuming the man works 8 hours straight without breaks:

25% is the same as 1/4 of something.

So, we just have to figure out what 1/4 (one quarter) of 8 equals.

You can think of it as a pizza cut into 8 slices. One slice is equivalent to one hour for the patrolman.

If we take away 1/2 (half) of the pizza, we have 4 slices, right? Since we start with 8 slices, half of that equals 4 slices. In other words, 50% (half) of the pizza = 4 slices.

Now, 25% (one quarter) of the pizza will equal half of what is left:

If we know that 50%=4 slices (or 4 hours), then 25% must be 2 slices (or 2 hours).

That's it! 25% of 8 hours = 2 hours.

***So, the patrolman spends 2 hours each day completing paperwork.***

Lets check our work:
We know 8 hours (or 8 slices)= 100%
(We know this because
8 slices = 1 whole pizza, or 100% of a pizza. Similarly,
8 hours = 1 whole shift or 100% of the man's shift ).

So

25% + 25% + 25% + 25% = 100%

If 100% of the mans shift = 8 hours:

2+2+2+2 = 8

It checks out!


Hope this helps!



4 0
4 years ago
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