Non Residents:
f(x)= money in $ paid.
x=number of days.
f(x)=x(12+3.5)=15.5 x
f(x)=15.5x
Arkansas residents
f(x)=money in $ paid.
x=number of days.
f(X)=x+174
Now, we equate functions:
15.5x=x+174 (this is the equation)
15.5x-x=174
14.5x=174
x=174 / 14.5=12
Answer: the number of days is 12 days. The ecuation has one solution, because when I has solved it, I have had one solution.
Answer:
D
Step-by-step explanation:
2/5 is a rational number and square root of 3 is irrational
<h3>
Answer: Choice A</h3>
- Domain: x > 4
- Range: y > 0
========================================================
Explanation:
We want to avoid having a negative number under the square root. Solving
leads to 
So it appears the domain could involve x = 4 itself; however, if we tried that x value, then we'd get a division by zero error.
So in reality, the domain is x > 4.
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The range of y = sqrt(x) is the set of positive real numbers. So y > 0 is the range for this equation. Shifting left and right does not affect the range, so the range of y = sqrt(x-4) is also y > 0.
We are dividing a positive number (3) over some positive number in the denominator. Overall, the expression
is positive because positive/positive = positive.
Therefore, the range of the given equation is y > 0
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The graph is shown below. We have a vertical asymptote at x = 4 and a horizontal asymptote at y = 0. The green curve is fenced in the upper right corner (northeast corner).
We know that
surface area=area of the base+4*[area of one lateral triangle side]
area of the base=b²
b is the side length of the square
b=14 cm
area of the base=14²-----> 196 cm²
area of one lateral triangle side=b*h/2
b is the side length of the square
b=14 cm
h is the height of the lateral triangle side
h is equal to the slant height
h=15 cm
area of one lateral triangle side=14*15/2----> 105 cm²
surface area=196+4*[105]------> 616 cm²
the answer is
the surface area is 616 cm²
To find the volume of a regular hexagonal prism, we can use the formula V = 3ash, where a = apothem length, s = length of a side of the base, and h = height of the prism.