Answer:
y = - 2x² - 2x + 40
Step-by-step explanation:
Standard form of a quadratic is y = ax² + bx + c : a ≠ 0
Given
y = - 2(x + 5)(x - 4) ← expand factors using FOIL
= - 2(x² - 4x + 5x - 20)
= - 2(x² + x - 20) ← distribute parenthesis by - 2
= - 2x² - 2x + 40 ← in standard form
Answer:
C. 9/8
Step-by-step explanation:
Use KCF which means Keep the first fraction, Change the second fraction by flipping it and change the division sign to a multiplication symbol:
multiply the numerator together:
6 × 12 = 72
multiply the denominator together:
8 × 8 = 64
now the fraction is:
simplify further by dividing both numbers by 8:
72 ÷ 8 = 9
64 ÷ 8 = 8
so the fraction is 9/8
Answer:
291.05ft²
Step-by-step explanation:
Volume of the aquarium = L³
L is the length of one side of the aquarium
444 = L³
L = cuberoot[444]
L= 7.63ft
Since the glass aquarium is opened at the top
Total surface Area = 5L²
Total surface Area = 5(7.63)²
Total surface Area = 291.05ft²
Hence the minimum exterior surface area of the aquarium is 291.05ft²
B
Step-by-step explanation:
Answer:
See below
Step-by-step explanation:
Given function is ,
=> f(x) = 4x + 7.
Replace f(x) with y ,
=> y = 4x + 7
For finding the inverse , interchange x and y ,
=> x = 4y + 7
Now solve for y ,
=> 4y = x - 7
=> y = x-7/4
Replace y with f-¹(x) ,
=> f-¹(x) = (x-7)/4
These are the required steps .
