The given function are
r(x) = 2 - x² and w(x) = x - 2
<span>(w*r)(x) can be obtained by multiplying the both function together
</span>
So, <span>(w*r)(x) = w(x) * r(x) = (x-2)*(2-x²)</span>
<span>(w*r)(x) = x (2-x²) - 2(2-x²)</span>
= 2x - x³ - 4 + 2x²
∴ <span>
(w*r)(x) = -x³ + 2x² + 2x - 4</span>
<span>It is a polynomial function with a domain equal to R
</span>
The range of <span>(w*r)(x) can be obtained by graphing the function
</span>
To graph (w*r)(x), we need to make a table between x and (w*r)(x)
See the attached figure which represents the table and the graph of <span>(w*r)(x)
</span>
As shown in the graph the range of <span>
(w*r)(x) is (-∞,∞)</span>
1.8- 3.7x = 4.2x + 0.3
Move 4.2x to the other side
Sign changes from +4.2x to -4.2x
1.8-3.7x-4.2x= 4.2x-4.2x+0.3
1.8-3.7x-4.2x= 0.3
1.8-7.9x= 0.3
Move 1.8 to the other side
Sign changes from +1.8 to -1.8
1.8-1.8-7.9x= 0.3-1.8
-7.9x= 0.3-1.8
-7.9x= -1.5
divide both sides by -7.9
-7.9/-7.9x= -1.5/-7.9
x= 0.18987341
Answer: x= 0.18987341
Answer:
(5/12)d - (23/36)g
Step-by-step explanation:
First you can eliminate g and -g to get (1/6)d - (3/4)g + (1/9)g + (1/4)d. Then you need to get common denominators to add like terms together.
1/6 = 4/24 and 1/4 = 6/24. Add them together to get (10/24)d or (5/12)d.
-3/4 = -27/36 and 1/9 = 4/36. Add them together to get (-23/36)g.
So in standard form, (5/12)d - (23/36)g
Given:
One of the legs of a right triangle is 9 cm.
The area of the triangle is 225 cm².
To find:
The length of the other leg.
Solution:
The area of a triangle is

The area of a right triangle is

Let x be the length of other leg.




Therefore, the length of the other leg is 50 cm.
Answer:
75 ft
Step-by-step explanation:
Let 20/50 = 30/x
So,
20X = 30x50
20x = 1500
X = 1500/20
X = 75
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