Answer:
10
Step-by-step explanation:
Let x = number of pages holding 2 cards,
y = number of pages holding 3 cards.
So his total number of card would be 2x + 3y, which is given as 18. So we get this equation.
2x + 3y = 18
Subtract 3y from both sides:
2x = 18 – 3y
Divide both sides by 2:
x = (18 – 3y)/2
x must be an integer. So 18–3y must be a multiple of 2. Since 18 is a multiple of 2, 3y is also a multiple of 2. Then y must be a multiple of 2 too.
Let's start with y = 0.
When y = 0, x = (18 – 3(0))/2 = 9.
When y = 2, x = (18 – 3(2))/2 = 6.
When y = 4, x = (18 – 3(4))/2 = 3.
When y = 6, x = (18 – 3(6))/2 = 0.
Thus there are 4 ways to display his figures.
Answer: Domain of the given function is all real numbers.
Range of the given function is {y | y>=1}
Step-by-step explanation:
The given function is a polynomial and the domain of any polynomial is all the real numbers because for any value of x, the function will have some value.
Hence, the domain will be all real numbers.
Range is the set of y values for which the function is defined.
This is a polynomial and to find the range, we will simplify the polynomial.
Therefore, for any value of x, f(x) ≥ 1
Hence, the range becomes {y | y ≥ 1}
Answer:
34 ft.
Step-by-step explanation:
The perimeter is the measure of the exterior of a figure, for example if you have a square with each side of 5 ft. the perimeter would be 20 ft, becasue we know that a square has four sides and the sum of the sides gives 20 ft. So if the total lenght is 50 ft. and one side is 16 ft. the lenght that we dont know would be 50 ft. - 16 ft. and that is 34 ft.
