<span>6n – 11 > 31
</span><span>6n > 31 + 11
</span>6n > 42
n > 42/6
n > 7
Hey there!!
How do we find the equation of a line ?
Ans : We take the slope and the y - intercept and get them together.
How do you find slopes?
Ans - In order to find slop, we will need to use the slop formula which is
( y₂ - y₁ ) / ( x₂ - x₁ )
The two points shown in the above question are
( 4 , -8 ) and ( 8 , 5 )
y₂ = 5 , y₁ = -8 and x₂ = 8 , x₁ = 4
Now plug in the values:
( 5 + 8 ) / ( 8 - 5 )
13 / 3
Hence, the slope is 13/3
The basic formula : y = mx + b
Where b is the y-intercept and m is the slope.
We have found the slope, hence, the formula would become
... y = 13/3 x + b
Now take a coordinate and substitute it .
I will take ( 8 , 5 )
x = 8 and y = 5
Now plug in the values
... 5 = 13/3 × 5 + b
... 5 = 65/3 + b
Subtract 65/3 on both sides
... 5 - 65/3 = b
... -50/3 = b
Hence, the y-intercept is -50/3
Now plug in all the values to get the total equation...
The final equation : y = 13x/3 - 50/3
... y = 13x - 50 / 3
Hope my answer helps!!
9514 1404 393
Answer:
a) P(t) = 6.29e^(0.0241t)
b) P(6) ≈ 7.3 million
c) 10 years
d) 28.8 years
Step-by-step explanation:
a) You have written the equation.
P(t) = 6.29·e^(0.0241·t)
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b) 2018 is 6 years after 2012.
P(6) = 6.29·e^(0.0241·6) ≈ 7.2686 ≈ 7.3 . . . million
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c) We want t for ...
8 = 6.29·e^(0.0241t)
ln(8/6.29) = 0.0241t
t = ln(8/6.29)/0.0241 ≈ 9.978 ≈ 10.0 . . . years
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d) Along the same lines as the calculation in part (c), doubling time is ...
t = ln(2)/0.0241 ≈ 28.7613 ≈ 28.8 . . . years
Answer:
704
Step-by-step explanation:
8 x 8 x 8 I think its the answer hope it helps
A. 72÷9÷2 = 8÷2 = 4
b. (18 ÷ 6) ÷ 3 = 3 ÷ 3 = 1
c. 45 ÷ 5 ÷ 3 = 9 ÷ 3 = 3
d. 144 ÷ (12 ÷ 2) = 144 ÷6 = 24
