Answer:
Let x is number of students falled.
Then 6x is number of students passed. So, 6x + x = 273; 7x = 273, x = 39
Answer: 39 students falled, 273 - 39 = 234 students passed
Step-by-step explanation:
Step-by-step explanation:
let, the 3rd game score be x
then 1st game score becomes = x+10
2nd game score becomes = x-5
total=275
x+x+10+x-5=275
3x+5=275
x= 270÷3
x=90
1st game score becomes = x+10= 90+10= 100
<h3>Given</h3>
S = πr√(r^2+h^2)
h = 8 m (constant)
<h3>Find</h3>
An approximation of S when r changes from 9 to 8.9
<h3>Solution</h3>
Such an approximation is usually made by estimating the change using the first derivative. That derivative with respect to r is
... S' = π√(r^2+h^2) + πr(1/2·r)/√(r^2+h^2)
... S' = π(2r^2 +h^2)/√(r^2 +h^2) . . . . . use a common denominator
For r=9, h=8, this is
... S' = π(2·81 +64)/√(81+64) = 226π/√145 ≈ 58.96
Then the change in lateral surface area will be approximately
... ∆S ≈ (∆r)·S' ≈ (-0.1)·(58.96) ≈ -5.90 . . . m²
You know the tangent point, so all you need for the tangent line equation is the slope. That is given by the derivative at x=3.
The derivative is
y' = 3x^2 -2
At x=3, this is y' = 3(3²) -2 = 25
Then your line in point-slope form is
y -22 = 25(x -3)