<u>Answer:</u>
The denominator of a fraction is 4 more than the numerator. The original fraction is
<u>Solution:</u>
Given that
Denominator of fraction is 4 more than the numerator.
Let’s say numerator of fraction be represented by variable x.
So denominator of a faction as it is four more that numerator will be x + 4
Also given if both decreased by three than simplified result is
Solving above equation for x
=> 7(x – 3 ) = 6 ( x + 1 )
=> 7x – 21 = 6x + 6
=> 7x – 6x = 6 + 21
=> x = 27
Numerator of fraction = x = 27
Denominator of fraction = x + 4 = 27 + 4 = 31
Hence the original fraction is
Answer:
0.43* 0.35 = 0.1505 or 0.15 after rounding
Step-by-step explanation:
A coin is flipped three times<span>; give the </span>probability<span> distribution of the number of heads. ... waiting to be served in a certain bank was counted every 15 </span>minutes<span> for five hours. ... 11) Suppose that the</span>probability<span> that a federal income tax </span>return<span> contains an .... 35) A certain </span>probability<span> distribution has</span>mean 100<span> and variance 5</span><span>.</span>
The answer is A: S11=(11Ek=11)6+(k-1)2
By "y = −9x2 − 2x" I assume you meant <span>y = −9x^2 − 2x (the "^" symbol represents exponentiation).
Let's find the first derivative of y with respect to x: dy/dx = -18x - 2. This is equivalent to the slope of the tangent line to the (parabolic) curve. Now let this derivative (slope) = 0 and solve for the critical value: -18x - 2 = 0, or
-18x = 2. Solving for x, x = -2/18, or x = -1/9.
When x = -1/9, y = -9(-1/9)^2 - 2(-1/9). This simplifies to y = -9/9 + 2/9, or
y = -7/9.
The only point at which the tangent to the curve is horiz. is (-1/9,-7/9).</span>