Answer:
x=1
Step-by-step explanation:
1. Complete the square on the right side of the equation.
5
(
x
−
1
)2
−
18
2. Use the vertex form, y
=
a
(
x
−
h
)
2
+
k
, to determine the values of a
, h
, and k
.
a=
5
h
=
1
k
=
−
18
3. Since the value of a is positive, the parabola opens up.
Opens Up
4. Find the vertex (
h
,
k
)
.
(
1
,
−
18
)
5. Find p
, the distance from the vertex to the focus.
1
/20
6. Find the focus.
7. (
1
,
−
359/
20
)
8. Find the axis of symmetry by finding the line that passes through the vertex and the focus.
ANSWER: x
=
1
Answer:
In step by step
Step-by-step explanation:
For #1, everything is perfect.
For #2, you wrote your functions out incorrectly, but your x input and y output are correct
#3 is a little messed up.
Your function is f(x)=-3x+1. Your given x's are -3, -1, 0, 1, 2, and 3. Plug all of these in.
1. f(-3)=-3(-3)+1
2. f(-1)=-3(-1)+1
3. f(0)=-3(0)+1
4. f(1)=-3(1)+1
5. f(2)=-3(2)+1
Answer: 
Step-by-step explanation:
Given: Original length = 
inches
inches ( In improper fraction )
Length of piece cut from original = 
inches
inches ( In improper fraction )
Length of piece leftover piece = (Original length ) - (Length of piece cut )
Hence, the leftover piece will be long.
Answer:
45 degrees
Step-by-step explanation:
Answer:
The expected value of the lottery is $80
Step-by-step explanation:
To get the expected value, we have to multiply each outcome by its probability
Then we proceed to add up all of these to get the expected value of the lottery
we have this as ;;
125(0.2) + 100(0.3) + 50(0.5)
= 25 + 30 + 25 = $80
