1/3
Step-by-step explanation:
I used the points (0,2) and (-6,0). I hope this helps!
Answer:
<u><em>y=7 </em></u><u>number of hours at grocery store</u>
<u><em>x=18 </em></u><u>number of hours at baby- sitting</u>
Step-by-step explanation:
According to the information provided.
x is number of hours at baby- sitting
y is number of hours at grocery store
total number of hours worked
<em>1) </em><em>x+y =25</em>
total earn in a week
<em>2) </em><em>x*$6 + y* $9 = $171</em>
<em />
<em>from equation 1</em>
x+y=25
x= 25-y
<em>we place the above derived equation in equation 2 </em>
x*$6 + y* $9 = $171
(25-y)*$6 + y* $9 = $171
(25*6) -6y +9y =171
150+3y=171
3y=171-150
3y=21
<u><em>y=7 </em></u><u>number of hours at grocery store</u>
x= 25-y
x= 25-7
<u><em>x=18 </em></u><u>number of hours at baby- sitting</u>
Answer:
So, the volume V is
Step-by-step explanation:
We have that:
We have the formula:
We calculate the volume V, we get
![V=2\pi\int_a^b x(g(x)-f(x))\, dx\\\\V=2\pi\int_0^1 x(7x-0)\, dx\\\\V=2\pi\int_0^1 7x^2\, dx\\\\V=2\pi\cdot 7\left[\frac{x^3}{3}\right]_0^1\\\\V=14\pi\left(\frac{1}{3}-\frac{0}{3}\right)\\\\V=\frac{14\pi}{3}](https://tex.z-dn.net/?f=V%3D2%5Cpi%5Cint_a%5Eb%20x%28g%28x%29-f%28x%29%29%5C%2C%20dx%5C%5C%5C%5CV%3D2%5Cpi%5Cint_0%5E1%20x%287x-0%29%5C%2C%20dx%5C%5C%5C%5CV%3D2%5Cpi%5Cint_0%5E1%207x%5E2%5C%2C%20dx%5C%5C%5C%5CV%3D2%5Cpi%5Ccdot%207%5Cleft%5B%5Cfrac%7Bx%5E3%7D%7B3%7D%5Cright%5D_0%5E1%5C%5C%5C%5CV%3D14%5Cpi%5Cleft%28%5Cfrac%7B1%7D%7B3%7D-%5Cfrac%7B0%7D%7B3%7D%5Cright%29%5C%5C%5C%5CV%3D%5Cfrac%7B14%5Cpi%7D%7B3%7D)
So, the volume V is
We use software to draw the graph.
50+ 7.99 x =y
50+ 7.99 (40)= y
50+319.60= y
369.60=y
50+ 7.99 x =y
50 + 7.99 (50)
50+ 399.50=449.50
6.99(30)=209.70
449.50 + 209.70 =659.2
