Yards=x
ft=3x
48=3x
x=16
the length if the water slide in yards is 3. 3 yards
Because of the symmetry, we can just go from x=0 to x=2 to find the area between
<span>y = x^2 and y = 4 </span>
<span>that area = ∫4-x^2 dx from 0 to 2 </span>
<span>= [4x - (1/3)x^3] from 0 to 2 </span>
<span>= 8 - 8/3 - 0 </span>
<span>= 16/3 </span>
<span>so when y = b </span>
<span>x= √b </span>
<span>and we have the area as </span>
<span>∫(b - x^2) dx from 0 to √b </span>
<span>= [b x - (1/3)x^3] from 0 to √b </span>
<span>= b√b - (1/3)b√b - 0 </span>
<span>(2/3)b√b = 8/3 </span>
<span>b√b =4 </span>
<span>square both sides </span>
<span>b^3 = 16 </span>
<span>b = 16^(1/3) = 2 cuberoot(2) </span>
<span>or appr 2.52</span>
Be sure to include the "=" sign: <span>f(x) = 2^x -7
To find the x-intercepts, set f(x) = 0 and solve for x: 2^x - 7 = 0,
or
2^x = 7
Take the common log of both sides: x log 2 = log 7
log 7
Solve for x: x = --------- = 2.81 (approx)
log 2
</span>
Answer: 14 1/8
Step-by-step explanation: To add mixed numbers, first add the fractions. In this case, we have two fractions 
and 
and these fractions have unlike denominators. We need to find a common denominator for both of these fractions to be able to add.
<u>Least Common Denominator:</u>
= 
=
12 4/8 + 1 5/8 = 13 9/8
Notice that 9/8 is an improper fraction so we can change it to a mixed number.
9/8 = 1 1/8
13 + 1 and 1/8 = 14 1/8
6 divided by 10 would be 60 percent and .60 as a decimal
