Answer:
Step-by-step explanation:
Here, the money saved each week follows geometric progression with a common ratio r= 2 and first term a= 6.
In geometric progression, nth term =
Substitute r= 2 , a= 6 and n=w, we get
wth term =
The equation can be used to determine the number of pennies, P, Lola will save during week w of saving pennies:
Y = (x +7)^2. The parabola is going into the negative region. The x value must be positive.
We have an equation with parentheses. To make our lives easier, first get rid of the parentheses. We do this by using the distributive property.
It is used like this: a(b + c) = ab + ac.
Use the distributive property on the left-hand side.
3(x - 1) = 6
3x - 3 = 6
Now we have an equation that is easier.
The x variable is being multiplied by 3 and added to -3.
Reverse all of these operations with their inverse operation.
3x - 3 = 6
3x = 9 <--- I got rid of the -3 term by using the inverse of subtraction. Addition.
And I did the same for both sides to keep the equation true.
x = 3 <--- The inverse of multiplication is division.
So, I divided both sides by 3.
So, x is equal to 3.
If you do 9(ribbon length) divided by 8 (pieces) you get = 1.125
so you have 9/8 = 1.125 yards
h(t) = -16t² + 50t + 5
The maximum height is the y vertex of this parabola.
Vertex = (-b/2a, -Δ/4a)
The y vertex is -Δ/4a
So,
The maxium height is -Δ/4a
Δ = b² - 4.a.c
Δ = 50² - 4.(-16).5
Δ = 2500 + 320
Δ = 2820
H = -2820/4.(-16)
H = -2820/-64
H = 2820/64
H = 44.0625
So, the maxium height the ball will reach is 44.0625