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Bezzdna [24]
3 years ago
15

Find the value of X and Y.

Mathematics
1 answer:
spin [16.1K]3 years ago
3 0
X=14 Y=12 I hope this helpex.
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If r(x) = 2 – x2 and w(x) = x – 2, what is the range of (Wºr) (x)
ikadub [295]

Answer:

(-inf,2]

Step-by-step explanation:

(w \circ r)(x)=w(r(x))

w(2-x^2) I replaced r(x) with 2-x^2

(2-x^2)-x I replace the x in w(x)=x-2 with 2-x^2

-x^2-x+2

You can graph this to find the range.

But since this is a quadratic (the graph is a parabola), I'm going to find the vertex to help me to determine the range.

The vertex is at x=-b/(2a).  Once I find x, I can find the y that corresponds to it by using y=-x^2-x+2.

Comparing ax^2+bx+c to -x^2-x+2 tells me a=-1, b=-1, and c=2.

So the vertex is at x=1/(2*-1)=-1/2.

To find the y-coordinate that corresponds to that I will not plug in -1/2 in place of x into -x^2-x+2.

This gives me

-(-1/2)^2-(-1/2)+2

-1/4 +  1/2  +2

Find a common denominator which is 4.

-1/4 +  2/4  +8/4

8/4

2.

So the highest y value is 2 ( I know tha parabola is upside down because a=negative number)

That mean then range is 2 or less than 2.

So the answer an interval notation is (-inf,2]

7 0
3 years ago
I need help please. Also check out my other question
siniylev [52]

Answer:

<h3><u>8 Km.</u></h3>

Explanation:

  • I'm going to turn the fractions into decimals

2 ½: 2.5

3 ⅕: 3.2

  • Formula for the area of a parallelogram: A = b(h)

Base: 3.2

Height: 2.5

3.2 · 2.5 = 8

<h3><u>The area of the parallelogram is 8 Km.</u></h3>
5 0
3 years ago
Gloria pays her insurance three times each year. The first payment is 50% of the annual
Xelga [282]

Answer:

First payment (50%) would be 512$

The next two payments would be 32$ each

Explanation:

.5(1024)= 512

.25(512)=128

.25(128)= 32

4 0
3 years ago
If i was born in 1983 how old would i be?
RUDIKE [14]
Take the current year and subtract is from the initial year, so
This year is 2016, your are trying to find age if born in 1983
             2016
           - 1983
         -------------
                  33
You would be 33 years old if you were born in 1983 as of 2016.
4 0
3 years ago
Read 2 more answers
Find the surface area of the cone. Leave your answer in terms pi
nlexa [21]

Answer:

The answer is C. 119cm³

Step-by-step explanation:

SA= \pi r^{2} +\pi rl

    = 49\pi +\pi 7(10)

    = 49\pi +20\pi

SA= 119\pi

3 0
3 years ago
Read 2 more answers
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