Answer:
Th Range is [0, -∞)
Step-by-step explanation:
f(x) = 2 - x
w(x) = x - 2
We want to find the range of (f * w)(x).
First, we need to find (f * w)(x), which is the multiplication of the function f(x) and the function w(x). Lets use algebra to find (f * w)(x):
This is a quadratic function (U shaped), or a parabola. The graph is attached.
The range is the set of y-values for which the function is defined.
We see from the graph that the parabola is upside down and the highest value is y = 0 and lowest goes towards negative infinity. So the range is from 0 to negative infinity. Or,
0 < y < ∞
In interval notation, that would be:
[0, -∞)
Answer:
Using PEMDAS, we would first divide 24/8=3. Then, since there is no multiplication or division left, we can finish up with adding and subtracting. So, 48+3-22=29.
So 29 is the answer.
Answer:
<h2>A = 9/4</h2>
Step-by-step explanation:
The formula of an area of a square with side z:
A = z²
We have z = 3/2. Substitute:
A = (3/2)² = (3/2)(3/2) = 9/4
The answer to your problem is a<-2
Answer:
5 friends
Step-by-step explanation:
Candy pieces = 60
Chocolate = 45
What should be the smallest number of her sister's friends for the distribution of candy and chocolate so each friend gets an equal number of candy pieces and chocolates in a way that there should not be left any chocolate or candy pieces left over?
To calculate this, find the lowest factor of 60 and 45
60:
Factors = 2, 4, 5, 6,
45:
Factors= 3, 5, 9
The lowest common factor of 60 and 45 is 5
The smallest number of her sister's friend so each person get an equal number of candy pieces and chocolate so there won't be any leftover is 5
That is
If there are 5 friends at the birthday party
60 candy pieces among 5 friends
= 60/5
= 12 pieces each
45 chocolate among 5 friends
= 45/5
= 9 each
