Answer:
y = 4(x + 11)² - 484
Step-by-step explanation:
y = 4x² + 88x
factor the expression
y = 4(x² + 22x)
complete the square
y + ? = 4(x² + 22x + ?)
y + ? = 4(x² + 22x + 121)
add 4 • 121 to the left side
y + 4 • 121 = 4(x² + 22x + 121)
multiply
y + 484 = 4(x² + 22x + 121)
y + 484 = 4(x + 11)²
subtract both sides by 484
y = 4(x + 11)² - 484
Answer:
711
Step-by-step explanation:
They used 79/100 of their money on equipment which means if they have a budget of 900 dollars they used...
900*79/100=9*79=711 dollars on equipment.
[Edit:}
Okay! So after you have 15+(21)÷3, you have to remember PEMDAS.
PEMDAS is the order in which you solve equations.
1. Parentheses: you solve everything in the parentheses first, all while following the rules of PEMDAS
2. Exponents: after you solve the things in the parentheses, you do the exponents.
3. Then you do Multiplication or Division, solving in the order from left to right.
4. After, you do Addition or Subtraction, solving in the order from left to right.
So using PEMDAS, we'll solve 15+(21)÷3.
We do division before addition, so 21/3 is 7.
Then you add 15 to 7 and get 22 as your final answer.
Hope this helps!
Answer:
108 cm^2
Step-by-step explanation:
Trapezoid area = (a+b)/2 * h
= (6+12)/2 * 6 = 54 cm^2
Triangle area = b*h/2 = 12* (15-6) / 2 = 54 cm^2
Total area is 54+54 = 108 cm^2
Answer:
Number of cookies sold by the Yummy Company = 32.
Step-by-step explanation:
Let the number of cookies sold by the yummy company be x.
Then the number of pies sold by The Chipper Bakery is 3/4 x.
When they have 16, more we have:
Number sold by the Yummy company is x + 16 and the number sold by the Bakery is 5/6 (x + 16)
So x + 3/4x + 2(16) = x + 16 + 5/6(x + 16)
= 7/4 x + 32 = 11/6 x + 16 + 80/6
7/4 x - 11/6x = 16 + 80/6 - 32
-1/12 x = -2 2/3
x = -8/3 * -12
x = 32.
