Amy is 5 years older than Ben. Three times Amy's age added to six times Ben's age is 42. How old are Amy and Ben?
1 answer:
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Answer:
defines the gallons of the gas consumed by the old car in one year.
Step-by-step explanation:
If I purchase a car, I will definitely concentrate on a factor that is gas consumed by the car in a year.
As per statement given in the question if gas is $3.45 per gallon and I drive an average of 18000 miles per year.
If x miles per gallons is the average of the old car and y miles per gallons is the average of of new car.
Then total difference in gallons of the gas consumed by the old and new cars will be represented by the equation.
g(x) = 3.45 - 3.45
Here, defines total number of gallons of the gas consumed by the old car in one year.
The vertex-form of the equation of a parabola is 
,
where (h, k) is the vertex point.
We are given that 9 is the maximum point, and that the axis of symmetry is the line x=-5.
The axis of symmetry passes through the vertex, so the x-coordinate of the vertex is -5. The maximum height is 9 means that the y-coordinate of the vertex is 9.
So: (h, k)=(-5, 9).
Substituting in the vertex-form, now we have:
.
We also know that (-7, 1) is a point of the parabola, so this point is an (x, y) which satisfies the equation. That is:
Now we have all the constants h, k and a, so we are able to write the equation:
.
Answer:.
where (h, k) is the vertex point.
We are given that 9 is the maximum point, and that the axis of symmetry is the line x=-5.
The axis of symmetry passes through the vertex, so the x-coordinate of the vertex is -5. The maximum height is 9 means that the y-coordinate of the vertex is 9.
So: (h, k)=(-5, 9).
Substituting in the vertex-form, now we have:
We also know that (-7, 1) is a point of the parabola, so this point is an (x, y) which satisfies the equation. That is:
Now we have all the constants h, k and a, so we are able to write the equation:
Answer:
Answer:
The number generator is not fair. In most of the experiments, considerably less than 40% of the selected are green
Step-by-step explanation:
Given
See attachment for plots
Required
Is the number generator fair or not
From the number line, we have the following outcomes:
Divide each outcome by 12, to get the proportion of green in each trial
The above shows that the proportion of green in most of the trial is less than 40%
<em>Hence, the number generator is not fair.</em>
