The limit is equivalent to the value of the derivative of
at
. (See definition of derivative)
The solution of the equation is 
Step-by-step explanation:
To simplify an equation of x
- Simplify each side of the equation
- Collect x in side and the numerical terms in the other side
- Find the value of x
∵ The equation is 
- Multiply all terms of the equation by 4 to cancel the denominator
of the 2nd term in the left hand side
∵ The equation is 
∴ 8x + (1 - x) = 12
∴ 8x + 1 - x = 12
- Add like terms
∴ (8x - x) + 1 = 12
∴ 7x + 1 = 12
- Subtract 1 from both sides
∴ 7x = 11
- Divide both sides by 7
∴
The solution of the equation is
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Answer: I'm thinking it's reflectional symmetry.
Step-by-step explanation:
Answer:
Mistake in Line 2
Step-by-step explanation:
Line 1
7(6) ÷ 5 + 42
Line 2
7(6) ÷ 5 + 16
Line 3
42 ÷ 5 + 16
Line 4
42 ÷ 21
Line 5
2
To simplify any expression we use order of operation
Line 1 is 7(6) ÷ 5 + 42
Order of operation is PEMDAS
First we start with parenthesis
so we multiply 7(6) in line 2
7*6- 42
So Line 2 is 42 ÷ 5 + 42
Hence there is a mistake in Line 2
Answer:
(A) The population's growth rate in equation form is y = (0.016t * 7652) + 7652
(B) y = (0.016t * 7652) + 7652 =
y = (0.016(8) * 7652) + 7652 =
y = (0.128 * 7652) + 7652 =
y = 979.456 + 7652 =
y = 8631.456 (Or About) 8631
Step-by-step explanation:
(A) Y = the total population of the town. 0.016 is 1.6% just in its original form. T = the year in which were trying to find the town's total population. 7652 is the total population of the town in 2016. With this information, the equation reads, The total population of the town (Y) is equal to 16% (0.016) of the current year's population (T) added to 2016's population of 7652. (This last sentence can also be read what is 1.6% of the towns population in the year were trying to find. Because the population is always growing, 1.6% gets multiplied as to scale with the total population in year T)
(B) We just substitute (T) for 2024, or 8 years after 2016 (2024-2016) and simplify the equation we made.
