Answer:
y = - 2(x - 1)² + 18
Step-by-step explanation:
- 2x² + 4x + 16 ← factor out - 2 from the first 2 terms
= - 2(x² - 2x) + 16
using the method of completing the square
add/subtract ( half the coefficient of the x- term)² to x² - 2x
= - 2(x² + 2(- 1)x + 1 - 1) + 16
= - 2(x - 1)² + 2 + 16
= - 2(x - 1)² + 18 ← in vertex form
If the equation is 4x+1/3=20, your answer would be x=59/12.
- You would subtract 1/3 from each side. (1/3 - 1/3) (20-1/3)
- Then your new equation would be 4x = 59/3
- You would divide 4 from each side (4/4) (59/3 / 4)
- x = 59/12
Answer:
Step-by-step explanation:
Area of Triangle = 
Where base = 13 mm, Height = 5 mm
Area = 1/2 (13)(5)
=> Area = 1/2 (65)
=> Area = 32.5 mm^2
Answer:
Step-by-step explanation:
Ytigr
Answer:
103.
Step-by-step explanation:
The initial budget is $5,323 and has already spent $2,748, so the remain budget is $2,575. If the meal price per guest is $25, so:
$2,575 / $25 = 103
She can invite up to 103 guests.
