Answer:
Domain: {4,5,7,10}
Range: {2,4,8}
Not a function
Step-by-step explanation:
The domain is all the x-values.
The range is all the y-values.
However, this isn't a function because two different inputs have the same output. If it were a function, there would be one unique output for every input.
The perimeter of a square is the sum of its sides and they
are all equal, so to obtain the length of each of them we divide the perimeter
of the first fence between 4:
P1= 64 feet/4 sides
P1= 16 feet
Then, the length of each side of the second fence will
increase 2 feet at each end, as shown in the figure. We have then that the
perimeter of the second fence is:
P2 = 20 feet x 4 sides
P2 = 80 feet
The sum of the perimeters of both fences is:
PT = P1 + P2
PT = 64 feet + 80 feet
PT = 144 feet
Total cost = 1.17 $ x 144 feet
Total cost = 168.48 $
The total cost of the fences was $ 168.48
Answer:
3×5×53
Step-by-step explanation:
You can use divisibility rules to find the small prime factors.
The number ends in 5, so is divisible by 5.
795/5 = 159
The sum of digits is 1+5+9 = 15; 1+5 = 6, a number divisible by 3, so 3 is a factor.
159/3 = 53 . . . . . a prime number,* so we're done.
795 = 3×5×53
_____
* If this were not prime, it would be divisible by a prime less than its square root. √53 ≈ 7.3. We know it is not divisible by 2, 3, or 5. We also know the closest multiples of 7 are 49 and 56, so it is not divisible by 7. Hence 53 is prime.
D is the answer because the circle has no sides so it’s 157/200
