4x²y + 24x² - 24y - 144 can be written as :
4x²(y + 6) - 24(y + 6)
(y + 6)(4x² - 24)
(y + 6) is the factor of 4x²y + 24x² - 24y - 144
i think the answer is at 15 months
Answer:
23/16
Just set the missing fraction has X, and multiply the numerator and denominator of 3/2 by 8 so that it equals 24/16. This way you can isolate X and get x=23/16. It can't be simplified further, so that should be your final answer.
Using linear function concepts, it is found that the speed of the motorboat is of 22 miles per hour.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
In this problem, each second, the position increased by 22, hence the slope is of 22. Since velocity is the distance divided by the time, which in this problem is the slope, the speed of the motorboat is of 22 miles per hour.
More can be learned about linear function concepts at brainly.com/question/24808124
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Answer:
D. Up
Step-by-step explanation:
When a parabola has the form 
, It is vertical (opens up or down).
Because the variable "x" is squared.
If "a" is positive, then the parabola opens up, but if it is negative, then the parabola opens down.
In this case you have the quadratic function:
Which can be rewritten as:
Therefore, it is vertical, because it has the form:
You can observe that the value of "a" is:
Then, since "a" is positive, the parabola opens up.
