Answer: The value of x is 45
Step-by-step explanation:
The equation x/3-6=9 is a linear equation, where x/3 is the same as one-third of x.
Thus it is easily simplified as such:
x/3-6=9
Collect like terms
x/3 = 9 + 6
x/3 = 15
i.e (1/3) of X = 15
To get the value of x, cross multiply
x = 3 x 15
x = 45
Thus, the value of x is 45
Answer:
y = -0.07x2 + 3.07x
Step-by-step explanation:
For each plant we add, there is a decrease of 70 grams for all plants from the inicial value of 3 kg of beans.
So, for 2 plants, we have (3 - 0.07) * 2
For 3 plants, we have (3 - 2*0.07) * 3
For x plants, we have (3 - (x-1)*0.07) * x
So we can model the final result of the amount of beans 'y' with the equation:
y = (3 - (x-1)*0.07) * x
y = (3 - 0.07x + 0.07) * x
y = (3.07 - 0.07x) * x
y = -0.07x2 + 3.07x
(In this equation we have a = -0.07, b = 3.07 and c = 0)
Answer:
I believe the value would be 9.
The interval notation is 
Explanation:
The inequality is 
Let us complete the square, we get,
Simplifying, we have,
Adding both sides of the equation by 11, we get,
Since, we know that for 
, if n is even then ![-\sqrt[n]{a}](https://tex.z-dn.net/?f=-%5Csqrt%5Bn%5D%7Ba%7D%3Cu%3C%5Csqrt%5Bn%5D%7Ba%7D)
Thus, writing the above expression in this form, we get,
Also, if 
then 
and 
Then ,we have,
and 
Solving the inequalities, we get,
and 
Merging the intervals, we have,
Hence, writing the solution in interval notation, we have,
Therefore, the answer is
