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>
The given problem is very confusing since it was copy
pasted directly from the source so the equations look scrambled and plus it was
one words. After my own translation, I believe the given numbers are:
4 ⋅ 10^6
and
1 ⋅ 10^4
The symbol ⋅ means
that the two numbers are multiplied while the symbol ^ means an exponent of.
Now we are asked to find how much the 1st number is larger than the
2nd number. To solve this, we simply have to divide the bigger
number by the smaller number. Since 4 ⋅ 10^6
has bigger exponent than 1 ⋅ 10^4
then it is the bigger number.
Ratio = 4 ⋅ 10^6 /
1 ⋅ 10^4
Ratio = 4 ⋅ 10^2 =
400
Therefore 4 ⋅ 10^6
is 400 times bigger than 1 ⋅ 10^4.
Answer:
<span>400 times</span>
Answer:
d = √91 ft = about 9.53 ft
Step-by-step explanation:
use pythagorean theorem which is a²+b²=c²
(the hypotnuse which is opposite side of the right angle is always going to be C in the pythagorean theorem)
a = 3 b = ? c = 10
(3)² + b² = (10)²
9 + b² = 100
subtract 9 from both sides
b² = 91
take the square root of both sides
b = ±√91
so the side d = √91 ft = about 9.53 ft
Answer:
ab - ac + db - dc
Step-by-step explanation:
you distribute the variables inside the parenthesis
Confusing question but I would get 0, as if you have 4cm, that squared = 16cm^2. Therefore if it were increasing anymore, then you would not be able to get a value of 16.