Answer:
2x^2 - 16x + 30
Step-by-step explanation:
Here, we want to get the composite function;
p•q(x)
All we have to do here is to replace the x value in p(x) by the totality of q(x)
we have this as ;
= 2(x-3)^2 - 4(x-3)
= 2(x^2 -6x + 9) - 4(x-3)
= 2x^2 -12x + 18 -4x + 12
= 2x^2 - 16x + 30
To establish this equation we first need to assign some variables.
Let us assign x as the number of hours he has worked
and assign y as the total amount of money that he has earned
Therefore the equation y=36.50x is the equation that correctly represents how much money he makes regardless of how many hours he works. Just plug in how many hours you want for x and then solve the equation and you will get how much money he makes in x amount of hours. This is also proportional because for every hour that he works he gets the same salary of 36.50. It is proportional because no matter how many hours he works the salary will go up the same amount for each extra hour he works. The proportion is 36.50 dollars per hour worked.
Answer:
The third choice, (160/3)π cm³
Step-by-step explanation:
The formula for volume of a cone is
V = (1/3)πr²h where r is the radius of the base, and h is the height
Here, r = 4 and h = 10. plug those values in and simplify...
V = (1/3)π(4²)(10)
V = (1/3)π(16)(10)
V = (1/3)π(160)
V = (160π)/3
You can find the critical numbers by finding the derivative of the function and solving for 0.
F(x) = x(4/5)(x-6)(2) = x(8/5)(x-6) = (8/5)(x^2 - 6x)
Taking the derivative:
F'(x) = (8/5)(2x - 6)
F'(x) = 0 at x = 3,
critical number = 3
Answer:
300 people rejected part A and part B.
Step-by-step explanation:
First let's review the information given by the statement of the exercise.
1000 people surveyed.
600 reject part A, 500 part B and 200 reject no one. Therefore, of those 1000, 800 reject a party, either A or B, since 1000 respondents - 200 who do not reject = 800 who reject.
Among the respondents there are a total of 600 + 500 rejections, that is to say 1100 rejections in total.
But we know that there are only 800 respondents left, therefore the people who rejected two, is the difference between total rejections and the remaining respondents. that is to say:
1100 - 800 = 300, which means that 300 people rejected part A and part B.
