Answer:
see attached graph on the graph tool
Step-by-step explanation:
The equation of the parabola is
x²-6x-16y+25=0
vertex at (3,1) and focus at (3,5)
Answer:the youngest child is 7 years old
Step-by-step explanation:
Let x represent the age of the youngest child.
Let y represent the age of the middle child.
Let z represent the age of the oldest child.
The sum of the ages of three children is 32. It means that
x + y + z = 32 - - - - - - - - - - - 1
The ages of the oldest is twice the age of the youngest. It means that
x = 2z
z = x/2
The two older children differ by 3 years. It means that
y = x - 3
Substituting z = x/2 and y = x - 3 into equation 1, it becomes
x + x - 3 + x/2 = 32
2x - 3 + x/2 = 32
Crossmultiplying,
4x - 6 + x = 64
5x = 64 + 6 = 70
x = 70/5 = 14
z = x/2 = 14/2
z = 7
Answer:
-4/5
Step-by-step explanation:
Let α and β be the roots of the quadratic equation
ax²+bx+c = 0
Sum of roots α + β = -b/a
Product of roots αβ = c/a
Given the equation 16x²+4x+5 = 0
a = 16, b = 4, c = 5
Sum of roots α + β = -4/16 = -1/4
Product of roots αβ = 5/16
To calculate 1/α + 1/β, we will need to find the LCM first'
1/α + 1/β
= (β+α)/αβ
= sum of roots/product of roots
= (-1/4)/(5/16)
= -1/4×16/5
= -4/5
Answer:
17.922
Step-by-step explanation:
first you plug it in
y=0.860(17) + 3.302
then u simplify
y=14.62+3.302
then add them
y=17.922