X intercept is where the line crosses the x axis or where y=0
y intercept is where the line crosses the y axis or where x=0
the equation is 3rd degree and the leading coefient is positive so it goes from bottom left to top right, with 2 changes in direction (up to down or down to up)
x intercepts
W(x)=0=x^3-5x^2+8x-4
um, I graphed it and the x intercepts are at x=1 and x=2
y intercept is where x=0
W(0)=0^3-5(0)+8(0)-4=-4
the y intercept is y=-4
For this problem, let's assign a variable for the total amount of proteins needed daily/ Let that parameter be x. Now, the 48 grams is part of the total. The other portion is the one expressed in percentage. That accounts for 4% of x. Therefore, the equation would be:
x = 48 + 0.04x
Solving for x
x = 50
Thus, you will need 50 grams of protein daily.
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.
For the first one, each pizza is $6
For the second one, each pizza is $7
The first one is the answer
