Answer:
![\large\boxed{m=\dfrac{3}{4}=0.75}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7Bm%3D%5Cdfrac%7B3%7D%7B4%7D%3D0.75%7D)
Step-by-step explanation:
![12.6+4m=9.6+8m\qquad\text{subtract 12.6 from both sides}\\\\12.6-12.6+4m=9.6-12.6+8m\\\\4m=-3+8m\qquad\text{subtract}\ 8m\ \text{from both sides}\\\\4m-8m=-3+8m-8m\\\\-4m=-3\qquad\text{divide both sides by (-4)}\\\\\dfrac{-4m}{-4}=\dfrac{-3}{-4}\\\\m=\dfrac{3}{4}=0.75](https://tex.z-dn.net/?f=12.6%2B4m%3D9.6%2B8m%5Cqquad%5Ctext%7Bsubtract%2012.6%20from%20both%20sides%7D%5C%5C%5C%5C12.6-12.6%2B4m%3D9.6-12.6%2B8m%5C%5C%5C%5C4m%3D-3%2B8m%5Cqquad%5Ctext%7Bsubtract%7D%5C%208m%5C%20%5Ctext%7Bfrom%20both%20sides%7D%5C%5C%5C%5C4m-8m%3D-3%2B8m-8m%5C%5C%5C%5C-4m%3D-3%5Cqquad%5Ctext%7Bdivide%20both%20sides%20by%20%28-4%29%7D%5C%5C%5C%5C%5Cdfrac%7B-4m%7D%7B-4%7D%3D%5Cdfrac%7B-3%7D%7B-4%7D%5C%5C%5C%5Cm%3D%5Cdfrac%7B3%7D%7B4%7D%3D0.75)
We will determine the roots of the given equation
by rational root theorem.
Rational root theorem states:
"If P(x) is a polynomial with integer coefficients, then p is a factor of the constant term of P(x) and q is a factor of the leading coefficient of P(x).Then all the possible values of
are the factors of the given polynomial".
Therefore, the given equation is:
![5x^3-7x+11=0](https://tex.z-dn.net/?f=5x%5E3-7x%2B11%3D0)
The factors of the leading coefficient of
= q = ![\pm 1, \pm 5](https://tex.z-dn.net/?f=%5Cpm%201%2C%20%5Cpm%205)
The factors of the constant = p = ![\pm 1, \pm 11](https://tex.z-dn.net/?f=%5Cpm%201%2C%20%5Cpm%2011)
So, the possible values of
.
Therefore, the roots of the given polynomial are
.
Answer:
85%
Step-by-step explanation:
The probability of finding our satisfactory service in the three visits in a row would be the multiplication of the probability of each event.
The event is always the same. 95% of the service will be satisfactory. That is a probability of 95/100
Then the final probability would be:
<em>(95/100) * (95/100) * (95/100) = 0.85
</em>
In other words, the probability that a customer who visits three times will find our service satisfactory is 85%
Sort of because 500/6 = 83 pages, 100 pages is a reasonable answer.
Answer:
x = 6
Step-by-step explanation:
simplify both sides: 1 + x = 2x - 5
subtract x from both sides: 1 = x - 5
add 5 to each side: 6 = x