Answer:
a.) f(x) = -⅙(x+3)²+6
Step-by-step explanation:
The maximum value, our vertex, is at point (-3,6).
We can insert this value into the vertex form of a quadratic function and then solve for a as follows...
a equals -1/6... We can input this into the original equation we used...
f(x) = -1/6(x+3)^2+6
Good luck on the bellwork ;)
Answer:
Mrs. grub bought total number of shirts = 1
Mrs. grub bought total number of hats = 8
Step-by-step explanation:
Let Mrs. grub bought total number of shirts = x
Let Mrs. grub bought total number of hats = y
As given,
Price of 1 shirt = $4
Price of 1 hat = $12
⇒ Price of x shirts = $ 4x
Price of y hats = $ 12y
Given that,
Mrs. Grubb bought total piece of clothes = 9
⇒ x + y = 9 .......(1)
Also given,
She bought all clothing for $100
⇒ 4x + 12 y = 100 ........(2)
Divide equation (2) by 4 we get
x + 3y = 25 .......(3)
Now,
Subtract equation (1) from equation (3) , we get
x + 3y - ( x + y ) = 25 - 9
⇒ x + 3y - x - y = 16
⇒2y = 16
⇒y = = 8
⇒ y = 8
Put value of y in equation (3), we get
x + 3(8) = 25
⇒x + 24 = 25
⇒x = 25 - 24 = 1
⇒x = 1
∴ we get
Mrs. grub bought total number of shirts = x = 1
Mrs. grub bought total number of hats = y = 8
Answer:
The value of car after 5 years of exponentially depreciation is $16,213.36
Step-by-step explanation:
The initial amount of the car = i = $24,600
The depreciates rate of interest applied = r = 8%
Let The value of car after n years = A
The number of years = n = 5 years
Now,According to question
The value of car after n years = initial price of car ×
Or, The value of car after 5 years = i ×
Or, $A = $24,600 ×
Or, $A = $24,600 ×
Or, $A = $24,600 × 0.65908
Or, $A = $16,213.36
So, The value of car after 5 years = A = $16,213.36
Hence , The value of car after 5 years of exponentially depreciation is $16,213.36 . Answer