Answer 6 is and exponential, but I don’t know what 7 is, sorry
If Ms. Callahan has 24 feet of fencing, and she is building a pen, the PERIMETER of the pen must be 24 feet. The perimeter is basically the distance around a figure. The perimeter of a rectangle is equal to length plus width plus length plus width, AKA l+w+l+w, or P=2l+2w. In a rectangle, two pairs of sides are of equal length--so the two lengths and the two widths must be equal.
So, the formula is P=2l+2w. P, the perimeter, is 24, so 24=2l+2w. Let's try some values for l and see what we get for w. If the length is 1, l=1. 24=(2*1)+2w. 24=2+2w. 22=2w. w=11. So if length is 1 foot, width is 11 feet.
What if l=2? 24=(2*2)+2w. 24=4+2w. 2w=20. w=10. If l=2, w=10. And l=3? 24=(2*3)+2w. 24=6+2w. 18=2w. w=9. If l=3, w=9. Do you see a pattern? Every time we add 1 to l, we subtract 1 from w. So if l=4, w=8. If l=5, w=7. If l=6, w=6. Here, we start getting similar answers: if l=7, w=5. If l=8, w=4. Since we already know these values work, it doesn't matter whether we call it length or width. So, our answers are below.
Answer: Ms Callahan can make a pen with a length of 1 foot and a width of 11 feet, a length of 2 feet and a width of 10 feet, a length of 3 feet and a width of 9 feet, a length of 4 feet and a width of 8 feet, a length of 5 feet and a width of 7 feet, or a length of 6 feet and a width of 6 feet.
Answer:
Step-by-step explanation:
As x = 0 is a zero, (x + 0) is a factor.
Dividing the equation by (x + 0) leaves x² - 9x + 20.
Factoring this polynomial
x² - 9x + 20 = (x - 4)(x - 5)
x - 4 = 0
x = 4
x - 5 = 0
x = 5
The zeros are at 0, 4, and 5.
Which can be verified by using a plotting calculator.
Answer: 
Step-by-step explanation:
You need to used the following formula:
Where "V" is the speed, "d" is the distance and "t" is the time.
In this case you know that Kevin traveled at a constant speed on the highway from Hickory Hills to Chicago in 20 minutes (which is 
) and the distance is 17 miles. Then, you can identify that:
Therefore, knowing these values, you can substitute them into the formula. Then, you get:
