Answer:
2/9, 2/8, 2/3
Step-by-step explanation:
2/9= 0.22 (to 2 decimal point)
2/8= 0.25
2/3 = 0.67
Answer:
x^2 - 6x + 147 so the coefficient is 1
Step-by-step explanation:
First, simplify the equation.
1. 2/3x(2x-3) = (2x/3)(2x-3)-(x-7)(x+7)
2. 2x-3(2x/3) = (2x(2x-3)) - (x-7)(x+7)
3. Expand -(x-7)(x+7) = -x^2+49
Combine to get (x^2 - 6x)/3 +49
Simplify to get x^2 - 6x + 147. The coefficient of the quadratic term is one.
<u>ANSWER</u>
The common ratio is -3.
<u>EXPLANATION</u>
In general, the common ratio of a Geometric Sequence is given by:
We can find the common ratio using any two consecutive terms of the geometric sequence by dividing the subsequent term by the previous term.
The given sequence is -2,6,-18,54
Using the first two terms the common ratio is
We could also used the second and third terms to get
and so on and so forth.
Therefore the common ratio is -3.
In order to find the number of chips that would result in the minimum cost, we take the first derivative of the given equation. Note that the derivative refers to the slope of the graph at a given point. We can utilize this concept knowing that at the minimum or maximum point of a graph, the slope is zero.
Taking the derivative of the given equation and equating it to zero, we have:
y' = (0.000015)(2)x - (0.03)x° + 0
0 = (0.00003)x - 0.03
Solving for x or the number of chips produced, we have x = 1000. We then substitute this value in the given equation, such that,
y = (0.000015)(1000)² - (0.03)(1000) + 35
The minimized cost, y, to produce 1000 chips is then calculated to be $20.
-2x·-2x·(-5x·-5x+4x·4x·4x) Basically, you write out the number depending on the exponent. So if you have a power/exponent of 3, you write it out multiplied by itself 3 times. Hope this helps!
