Answer:
{- 11, - 1 }
Step-by-step explanation:
Since the coefficient of the x² term is 1 , to complete the square
add (half the coefficient of the x-term )² to both sides
x² + 2(6)x + 36 = - 11 + 36 ← complete the square on the left side
(x + 6)² = 25 ( take the square root of both sides
= ± 
x + 6 = ± 5 ( subtract 6 from both sides )
x = - 6 ± 5
x = - 6 + 5 = - 1 or x = - 6 - 5 = - 11
Answer:
11 if im right :)
Step-by-step explanation:
Exercise 1:
exponential decay:
The function is given by:
y = A (b) ^ ((1/3) * t)
Where,
A = 600
We look for b:
(480/600) * (100) = 80%
b = 0.8
Substituting:
y = 600 * (0.8) ^ ((1/3) * t)
We check for t = 6
y = 600 * (0.8) ^ ((1/3) * 6)
y = 384
Answer:
exponential decay:
y = 600 * (0.8) ^ ((1/3) * t)
Exercise 2:
linear:
The function is given by:
y = ax + b
Where,
a = -60 / 2 = -30
b = 400
Substituting we have:
y = -30 * x + 400
We check for x = 4
y = -30 * 4 + 400
y = 280
Answer:
linear:
y = -30 * x + 400
Exercise 3:
exponential growth:
The function is given by:
y = A (b) ^ ((1/3) * t)
Where,
A = 512
We look for b:
(768/512) * (100) = 150%
b = 1.5
Substituting:
y = 512 * (1.5) ^ ((1/2) * t)
We check for t = 4
y = 512 * (1.5) ^ ((1/2) * 4)
y = 1152
Answer:
exponential growth:
y = 512 * (1.5) ^ ((1/2) * t)
Answer:
$225.50 (nearest cent)
Step-by-step explanation:
1 foot ≈ 0.3048 m
Width of room = 15 ft ≈ 15 x 0.3048 = 4.572 m
Length of room = 18 ft ≈ 18 x 0.3048 = 5.4864 m
Area of room = width x length = 4.572 x 5.4864 = 25.0938208... m²
Cost of carpet = $8.99 per m²
Total cost of carpet = 25.0938208 x 8.99 = $225.50 (nearest cent)
9514 1404 393
Answer:
A, D
Step-by-step explanation:
The horizontal distance between the points is the difference of their x-coordinates.
A) 5.5 -(-6.5) = 12.0 . . . greater than 11
B) 4.7 -(-3.3) = 8.0
C) 11/3 -(-10/3) = 21/3 = 7
D) 2 -(-12) = 14 . . . greater than 11
