Answer:
B. (2,-5)
Step-by-step explanation:
The vertex of the function can be found in the most lower value that the function can have.
Since we have an ABS function involved we need to analyse it at first
We know that |x| = x if x> 0 and |x| = -x if x< 0
if we now change x by x-2 (the content of our ABS function involved, we have the following
|x-2| = x-2 if x-2> 0
|x-2| = -x+2 if x-2< 0
Those inequaiities have a common solution
x-2=0, this means that x=2 is the lowest value the ABS(X-2) has and it is equals to zero.
So by evaluating x=2 in the given function we will obtain its vertex.
leading to f(2)=6 |2-2|-5= -5
Hence the point (2,-5) is the vertex of our function
This is a problem for 2 equations and 2 unknown.
so let x be the number of adults in the breakfast
y be the number of children present in the breakfast
so the total people attended is 500, in equation form
x + y = 500
and the total sales made by disney is $ 7355, in equation
17.95x + 12.95y = 7355
so we can solve the equation simultaneously so solve for the values of x and y
so the number of adults at the breakfast x = 176 adults and y = 324 children
P(A) = 0.36
P(B) = 0.25
P(A and B) = 0.09
Notice how P(A and B) = P(A)*P(B) = 0.36*0.25 = 0.09
So because P(A and B) = P(A) *P(B) in this case, this means A and B are independent events. In other words, the fact that A occurs does not alter the probability of event B.
Answer: independent
So, from 10 minutes down to 2 minutes, the difference is 8 minutes.
if we take 10 to be the 100%, what is 8 off of it in percentage?
Answer:
x=1
y=4
(1,4)
Step-by-step explanation:
TO SOLVE FOR X:
1. Substitute y=x+3 into the equation. This should look like this:
3x+5(x+3)=23
2. Use the distributive property.
3x+5x+15=23
3. Simplify:
8x+15=23
4. Subtract 15 from both sides. It should now lool like this:
8x=8
5. Divide both sides by 8.
x=1
TO SOLVE FOR Y:
1. Take x and substitute into original statement:
3(1)+5y=23
2. Simplify:
3+5y=23
3. Subtract 3 from both sides:
5y=20
4: Simplify:
y=4
CHECK ANSWER:
y=x+3
1. Substitute your answers
4=1+3
2. Simplify
4=4
3. Check for Truth. Is 4=4?
Yes. So your final answer is:
x=1
y=4
(1,4)
