The total number of alphabets are 26.
The total number of vowels are 5.
Th repetition is allowed.
The possible outocme for all to be vowels are,
The total outcome is,
Therefore, the probability that all 4 will be vowels ,
The probability is 0.137 %.
Solve; 5(x+1)=6.4−2.7x 3(y−1.5)=9.9–4.2y 0.9y−1.8=0.3(y−4)
1 answer:
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The equation x^2 + x - 6 = 0 is the same as 1x^2 + 1x + (-6) = 0. It is in the form ax^2 + bx + c = 0
We see that a = 1, b = 1, c = -6. Those values will be plugged into the quadratic formula (see attached image for steps).
The answers are x = -3 and x = 2. The order of the roots does not matter.
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To factor 1x^2 + 1x - 6, we need to find two numbers such that they add to 1 (the x coefficient) and multiply to -6 (the constant term)
Two such numbers are 3 and -2. This is found through trial and error.
Note how 3 plus -2 = 1 and 3 times -2 = -6.
So x^2 + x - 6 = 0 becomes (x+3)(x-2) = 0. You can use the FOIL rule to get x^2+x-6 back again.
Now use the zero product property to solve
(x+3)(x-2) = 0
x+3 = 0 or x-2 = 0
x = -3 or x = 2
which are the two solutions we got when we used the quadratic formula.
