Step-by-step explanation:
f(3)=?
f(x)=2x+5
put x=3,
f(3)=2(3)+5=6+5=11
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g(2)=?
g(x)=x^2-3
put x=2,
g(2)=2^2-3=4-3=1
-----------------
g(f(-1))=?
g(x)=x^2-3
and f(-1)=2(-1)+5= -2+5=3
so g(f(-1))=3^2-3=9-3=6
----------------
f(g(-1))=?
f(x)=2x+5
g(x)=g(-1)=(-1)^2-3=1-3= -2
f(g(-1))=2(-2)+5= -4+5=1
----------------
g(f(x))=?
g(x)= x^2-3
put x=f(x),
g(f(x))=f(x)^2-3=(2x+5)^2-3=4x+25+20x-3=24x+25
Answer:
heres the answer I think
Step-by-step explanation:
-3 < x < 1/2
Answer:
The answer is "
"
Step-by-step explanation:
Please find the graph file.
![h= y=2x-x^2\\\\r= x\\\\Area=2\pi\times r\times h\\\\= 2 \pi \times x \times (2x-x^2)\\\\= 2 \pi \times 2x^2-x^3\\\\volume \ V(x)=\int \ A(x)\ dx\\\\= \int^{x=1}_{x=0} 2\pi (2x^2-x^3)\ dx\\\\= 2\pi [(\frac{2x^3}{3}-\frac{x^4}{4})]^{1}_{0} \\\\= 2\pi [(\frac{2}{3}-\frac{1}{4})-(0-0)] \\\\= 2\pi \times \frac{5}{12}\\\\=\frac{5\pi}{6}\\\\](https://tex.z-dn.net/?f=h%3D%20y%3D2x-x%5E2%5C%5C%5C%5Cr%3D%20x%5C%5C%5C%5CArea%3D2%5Cpi%5Ctimes%20r%5Ctimes%20h%5C%5C%5C%5C%3D%202%20%5Cpi%20%5Ctimes%20x%20%5Ctimes%20%282x-x%5E2%29%5C%5C%5C%5C%3D%202%20%5Cpi%20%5Ctimes%202x%5E2-x%5E3%5C%5C%5C%5Cvolume%20%5C%20V%28x%29%3D%5Cint%20%5C%20A%28x%29%5C%20dx%5C%5C%5C%5C%3D%20%5Cint%5E%7Bx%3D1%7D_%7Bx%3D0%7D%202%5Cpi%20%282x%5E2-x%5E3%29%5C%20dx%5C%5C%5C%5C%3D%202%5Cpi%20%5B%28%5Cfrac%7B2x%5E3%7D%7B3%7D-%5Cfrac%7Bx%5E4%7D%7B4%7D%29%5D%5E%7B1%7D_%7B0%7D%20%5C%5C%5C%5C%3D%202%5Cpi%20%5B%28%5Cfrac%7B2%7D%7B3%7D-%5Cfrac%7B1%7D%7B4%7D%29-%280-0%29%5D%20%5C%5C%5C%5C%3D%202%5Cpi%20%5Ctimes%20%5Cfrac%7B5%7D%7B12%7D%5C%5C%5C%5C%3D%5Cfrac%7B5%5Cpi%7D%7B6%7D%5C%5C%5C%5C)
$3.00/5 = $0.60 * 2 = $1.20 for 2 oranges and $1.50/6 = $0.25 * 2 = $0.50 for 2 bananas TOTAL = $1.70
Answer:
x=75°and y=x= 75°
Step-by-step explanation:
Reason: opposite angles are equal and how I got 75 is by drawing an extension line and finding the other angle (i.e. angle on a straight line=180) so 180-105=75.
