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lakkis [162]
3 years ago
10

If r(x) = 2 – x2 and w(x) = x – 2, what is the range of (w circle r) (x)?

Mathematics
2 answers:
snow_lady [41]3 years ago
6 0

Answer:

(-\infty, 0)

Step-by-step explanation:

VashaNatasha [74]3 years ago
3 0

Answer:

(-\infty, 0)

Step-by-step explanation:

(w circle r) (x) is the composite function(w of r(x)), that is, w(r(x))[/tex]

We have that:

r(x) = 2 - x^{2}

w(x) = x - 2

Composite function:

w(r(x)) = w(2 - x^{2}} = 2 - x^{2} - 2 = -x^{2}

-x^{2} is a negative parabola with vertex at the original.

So the range(the values that y assumes), is:

(-\infty, 0)

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Each side of a cube measures 5 cm in length. What is the cubes volume?
AysviL [449]

____________________________________________________

Answer:

Your answer would be 125 cm³

____________________________________________________

Step-by-step explanation:

In order to find the volume of a cube, we would need to use the right formula to find the volume for it.

Volume of a cube formula:

V = a^{3}

For our "a" value, we would need to plug in our side value, and for you case, the side value would be 5.

In a cube, all of the sides would be the same size, so you don't have to worry about using any different numbers.

Lets plug in 5 to our equation.

V = 5^{3}

Now we solve:

5^{3} = 125\\

This is also the same as:

5 *5*5 = 125

Your FINAL answer should be 125 cm³

____________________________________________________

8 0
3 years ago
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ANTONII [103]

Answer:

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Step-by-step explanation:

5 0
3 years ago
What is 5/7 minus 1/2 equal to in like units
WARRIOR [948]

Answer:

3/14

Step-by-step explanation:

5/7 minus 1/2 is 5/7 - 1/2

5/7 and 1/2 are both called proper fractions. 5 and 1 in each fraction are called the numerator while 7 and 2 are called denominators

5/7 - 1/2

Step one

Find the lowest common multiple (LCM) of the denominators of each fractions

Multiples of 7

7 x 1 = 7

7 x 2 = 14

7 x 3 = 21

Multiples of 2

2 x 1 = 2

2 x 2 = 4

2 x 3 = 6

2 x 4 = 8

2 x 5 = 10

2 x 6 = 12

2 x 7 = 14

The lowest common multiple of 2 and 7 is 14

Step 2

The LCM of 2 and 7 becomes the common denominator for both fractions.

14/7 = 2

14/2 = 7

5/7 - 1/2 = [2(5) - 7(1)]/14 = (10 - 7)/14

= 3/14

8 0
3 years ago
If a rectangular area is rotated in a uniform electric field from the position where the maximum electric flux goes through it t
Greeley [361]
With a uniform electric field, flux go along parallel paths, then flux is therefore proportional to the cosine of the angle rotated.
0 degree rotation => cos(0)=1 => 100% of flux.
60 degrees rotation => cos(60) => 0.5  => how many % of flux?
7 0
3 years ago
The graph of the equation xy=4 is symmetric with respect to which of the following?
inna [77]
The graph of x and y = 4 is symmetric with respect to the line x = y.
 Therefore, the answer is the second option shown above, which is:

 <span>the line y = x</span>
 
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4 0
3 years ago
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