Divide botoh sides by 7
x-12=-3
add 12 to both sides
x+12-12=12-3
x+0=9
x=9
Answer:
8
Step-by-step explanation:
According to the Alternating Series Estimation Theorem:
│aₙ₊₁│≤ ε
1 / (4 (n + 1)⁴) ≤ 0.00005
4 (n + 1)⁴ ≥ 20000
(n + 1)⁴ ≥ 5000
n + 1 ≥ 8.41
n ≥ 7.41
n must be an integer, so n ≥ 8.
3) Altitude / Time = y2 - y1 / x2 - x1 = 30 - 60 / 6 - 3
m = -30 / 3
m = -10
In short, constant rate of change is y = -10x
b) Constant proportionality exists between two quantities, as the amount of changing in Altitude over fixed period of time is same (constant) for every instance.
4) Sales / Day = y2-y1 / x2-x1 = 2,000 - 1,000 / 6 - 3
m = 1000 / 3
m = 333.3
a) In short, Constant relationship is y = 333.3x
b) Constant proportionality exists between two quantities, as the amount of changing in Sales over fixed days is same (constant) for every instance.
Hope this helps!
Answer: 64 cups
Step-by-step explanation:
Each gallon has 16 cups so you multiply 16 by 4 because there are 4 gallons and you get 64. Hope that helped. :)
Answer: The vertex form is h(x)=(x-3)^2-6
Step-by-step explanation:
Using the complete the square method, first complete any squares
X^2-6x+(-3)^2-(-3)^2+3
Use the binomial formula
(x-3)^2 - (-3)^2 +3
Simplify
(x-3)^2-6
