Perform the operation given that a = {−3, −2, −1, 0, 1, 2, 3}, b = {−4, −2, 0, 2, 4}, and c = {0, 1, 2, 3, 4}. (enter your answe
Ludmilka [50]
A ∩ c={0,1,2,3}
b ∪ (a ∩ c)={-4,-2,0,1,2,3,4}
54 students in each bus.
Step#1 Subtract 7 from the total of students, the answer is 324
Step#2 Divide 324 by 6, the answer is 54
Therefore the answer is 54 students, hope that helped. <span />
Answer:
x = y = 22
Step-by-step explanation:
It would help to know your math course. Do you know any calculus? I'll assume not.
Equations
x + y = 44
Max = xy
Solution
y = 44 - x
Max = x (44 - x) Remove the brackets
Max = 44x - x^2 Use the distributive property to take out - 1 on the right.
Max = - (x^2 - 44x ) Complete the square inside the brackets.
Max = - (x^2 - 44x + (44/2)^2 ) + (44 / 2)^2 . You have to understand this step. What you have done is taken 1/2 the x term and squared it. You are trying to complete the square. You must compensate by adding that amount on the end of the equation. You add because of that minus sign outside the brackets. The number inside will be minus when the brackets are removed.
Max = -(x - 22)^2 + 484
The maximum occurs when x = 22. That's because - (x - 22) becomes 0.
If it is not zero it will be minus and that will subtract from 484
x + y = 44
xy = 484
When you solve this, you find that x = y = 22 If you need more detail, let me know.
Answer:
Step-by-step explanation:
In order to find the equation of this line, we need to note two things.
- A) The slope of two lines that are perpendicular will be opposite reciprocals (that is, multiplying them gets us -1.)
- B) We can substitute a point inside an incomplete equation to try and find a missing value.
So first, let's find the opposite reciprocal of 7 which will be the slope to this equation.
- <u>Reciprocal of 7:</u>
- <u>Opposite of </u>:
So the slope of this line will be . The y-intercept will change, and we can substitute what we know into the equation 
.
Now, we can substitute a point on the graph (14, 8) into this equation to find b.
Now that we know the y-intercept, we can finish off our equation by plugging that in.
Hope this helped!
