68 is the correct answer. Thank you for your help! Love doing this!
It is 4,000. :P
The 6 in the hundreds tells you to round up. 4 and under, keep it. 5 and up, raise it by one. :)
The length of the garden is 160 feet.
The reason is, since both sides of the width equal out to 180 feet, (there are 2 sides of 90 feet) both sides of 160 feet is 320 feet, and all there is left is simple addition: 320 feet + 180 feet = 500 feet. Thank you and I hope this helps.
The roots of the polynomial <span><span>x^3 </span>− 2<span>x^2 </span>− 4x + 2</span> are:
<span><span>x1 </span>= 0.42801</span>
<span><span>x2 </span>= −1.51414</span>
<span><span>x3 </span>= 3.08613</span>
x1 and x2 are in the desired interval [-2, 2]
f'(x) = 3x^2 - 4x - 4
so we have:
3x^2 - 4x - 4 = 0
<span>x = ( 4 +- </span><span>√(16 + 48) </span>)/6
x_1 = -4/6 = -0.66
x_ 2 = 2
According to Rolle's theorem, we have one point in between:
x1 = 0.42801 and x2 = −1.51414
where f'(x) = 0, and that is <span>x_1 = -0.66</span>
so we see that Rolle's theorem holds in our function.
Answer:
D
Step-by-step explanation:
a+b=79(compares the number of stocks purchased)
12.41a+8.62b=825(compares the prices of the stocks purchases)
a=38, b=41
