Answer:
3n + 2
Step-by-step explanation:
Answer:
(A) Statistical samples are more representative of the population.
Step-by-step explanation:
The following is generally not true about statistical sampling as compared to non statistical sampling:
(A) Statistical samples are more representative of the population.
Statistical sampling refers to a type of statistical study whose sampling method is based on the way we select samples from the population to take part the study/survey.
<h3>Answer: 32</h3>
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Work Shown:
Let
x = number of visits
y = total cost in dollars
The membership costs $18 no matter how many visits you do. If you make x visits, at $1 each, then it costs an additional 1*x = 1x = x dollars. This is added on top of the base membership fee. In total, we know that y = 18+x = x+18
We want the total y to be at most $50. Therefore 
. The highest y can get is 50.
Let's replace y with x+18 and isolate x
y is replaced with x+18
subtract 18 from both sides
This tells us that we can make at most 32 visits. In other words, the maximum number of visits is 32.
X² - 3x + 27 = 8x - 3 аdd 3 to both sides ⇒
+ 3 + 3
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x² - 3x + 30 = 8x subtract 8x from both sides ⇒<span>
- 8x - 8x
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x</span>² - 11x + 30 = 0 ← <span>standard form
</span>
A. Add 3 to both sides and subtract 8x from both sides.
Let the lengths of the sides of the rectangle be x and y. Then A(Area) = xy and 2(x+y)=300. You can use substitution to make one equation that gives A in terms of either x or y instead of both.
2(x+y) = 300
x+y = 150
y = 150-x
A=x(150-x) <--(substitution)
The resulting equation is a quadratic equation that is concave down, so it has an absolute maximum. The x value of this maximum is going to be halfway between the zeroes of the function. The zeroes of the function can be found by setting A equal to 0:
0=x(150-x)
x=0, 150
So halfway between the zeroes is 75. Plug this into the quadratic equation to find the maximum area.
A=75(150-75)
A=75*75
A=5625
So the maximum area that can be enclosed is 5625 square feet.
