The last step is dividing both sides by 4: 4m=98 which would become: m=24.5
Hope this helps :)
9514 1404 393
Answer:
yes
Step-by-step explanation:
We can substitute the proposed solution values and see if the inequality is true.
0.50x +0.80y ≥ 20
0.50(20) + 0.80(32) ≥ 20
10 + 25.6 ≥ 20
35.6 ≥ 20 . . . . . . true; (20, 32) is a solution
Answer:
Zero
Step-by-step explanation:
We are to find
![\int\limits^{infinity} _{-infinity} xe^-x^2 dx.](https://tex.z-dn.net/?f=%5Cint%5Climits%5E%7Binfinity%7D%20_%7B-infinity%7D%20xe%5E-x%5E2%20dx.)
Here the integral is of the form x varying from negative to positive
And negative limit = positive limit in dimension
Let us assume ![f(x) =xe^{-x^2}](https://tex.z-dn.net/?f=f%28x%29%20%3Dxe%5E%7B-x%5E2%7D)
A function is odd if f(x) = -f(-x) and even if f(x) = f(-x)
Let us check f(-x) = -f(x)
So f is an odd function.
As per properties of integration, we have
=0 if fis an odd function.
Our function f is odd and a = infinity
So we can apply this rule to find out the
integral value is zero.
Answer:
this angle is a right angle(90°)
and one of the 2 angles is 30
3x+30=90
3x=90-30
3x=60
x=20
==> B
all triangles are similar but B and D may be the answer