Answer:
I hope it helps you the answer is 10/9
Let A( t , f( t ) ) be the point(s) at which the graph of the function has a horizontal tangent => f ' ( t ) = 0.
But, f ' ( x ) = [ ( x^2 ) ' * ( x - 1 ) - ( x^2 ) * ( x - 1 )' ] / ( x - 1 )^2 =>
f ' ( x ) = [ 2x( x - 1 ) - ( x^2 ) * 1 ] / ( x - 1 )^2 => f ' ( x ) = ( x^2 - 2x ) / ( x - 1 )^2;
f ' ( t ) = 0 <=> t^2 - 2t = 0 <=> t * ( t - 2 ) = 0 <=> t = 0 or t = 2 => f ( 0 ) = 0; f ( 2 ) = 4 => A 1 ( 0 , 0 ) and A 2 ( 2 , 4 ).
Answer:
The flag of Switzerland is square.
Step-by-step explanation:
Only Switzerland has a flag that is square.
The measurements can be anything convenient. The aspect ratio (height to width) is 1 : 1.
When the flag is displayed next to a rectangular flag, it should have the same area as the rectangular flag. (This will mean the Swiss flag side length is the geometric mean of the rectangular flag dimensions.)
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Sometimes, the measurements of the flag are chosen to go with the height of the flagpole. The US flag is customarily displayed on a pole 3-4 times as long as the flag is long. That is, the diagonal of the flag is about 0.28 to 0.38 times the pole height.* I could not find comparable information about the Swiss flag.
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* The diagonal is of interest when the flag is hanging down along the pole, not flying in the wind.
Answer:
The probability that none of the three shoes selected are green = 64/125
Step-by-step explanation:
If we have 1/5 of shoes being green, then the number of non-green shoes = 1-1/5 = 4/5
Now, this is a probability with replacement.
probability of the first shoe since it’s not green = 4/5
probability of second shoes since it’s not green = 4/5
probability of third shoe since it’s not green = 4/5
Now, the probability that none of the shoes are green = 4/5 * 4/5 * 4/5 = 64/125
Answer:
x = - 5, x = - 2
Step-by-step explanation:
Given
f(x) = x² + 7x + 10
To find the x- intercepts let f(x) = 0, that is
x² + 7x + 10 = 0 ← in standard form
(x + 2)(x + 5) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
x + 5 = 0 ⇒ x = - 5
The x- intercepts are (- 5, 0) and (- 2, 0 )