A closed circle means that value is included, and an open circle means that value is excluded.
Example:
x > 2 ---- Graphed with an open circle, everything greater than but not including 2
x ≤ 3 ------ Graphed with a closed circle, everything less than and including 3
The equation of the parabola in the vertex form is y = (x - 3
- 5 with ( 3, -5) is the vertex of the parabola and 1 is the multiplier
In the above question, A parabolic equation is given as follows:
Y = x^2 - 6x + 4
The equation of the parabola in the vertex form is :
y = a (x - h + k
Where a is a multiplier in the equation and (h,k) are the coordinates of the vertex
So, in order to obtain this form, we will use the method of completing square :
Y = x^2 - 6x + 4
y = 
- 6x + (9 -9) + 4
y = (x - 3 + ( -9 + 4)
y = (x - 3 - 5
where, ( 3, -5) is the vertex of the parabola and 1 is the multiplier
Hence, The equation of the parabola in the vertex form is y = (x - 3 - 5 with ( 3, -5) is the vertex of the parabola and 1 is the multiplier
To learn more about, parabola, here
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Answer: 26 years.
Step-by-step explanation:
Let x = current age of Louise (in years).
Then current age of James = x+6
Eight years from now, James's age = x+6+8= x+14
4 years ago, Louise's age = x-4
According to the question
x+14 = 4(x-4)
⇒ x+14 = 4x-16
⇒ 4x-x = 16+14
⇒ 3x = 30
⇒ x= 10 = current age of Louise (in years).
current age of James = 10+6 = 16 years
Sum of current ages = 16+10=26 years.
hence, the sum of the current ages is 26 years.
Answer:
FALSE
Step-by-step explanation:
If p could equal 10, 20, 30 or 40 lets put each of them in the expression 7.4p<=74
1. 7.4 times 10 equals 74 so that work✅
2. 7.4 times 20 equals 148 so that does not work X
3. 7.4 times 30 equals 222 so that does not work X
4. 7.4 times 40 equals 296 so that does not work X
