What should we multiply to eliminate fractions in an equation?.
1 answer:
Fractions can be defined as the representation of a part of a whole. A fractions consists of the numerator and the denominator.
let f(x) =
then 'p' represents the numerator; while 'q' represents the denominator;
where p and q belong to integers for simple fractions, while when p and q belong to other sets they can from complex fractions.
To convert a fraction into an integer we need to multiply the fraction with the the denominator so that it cancels out leaving only the numerator behind.
For fractions present in equations to get rid of all the fractions we new to multiply the equation by the LCM of the denominator of all the fractions.
Where LCM is the least common multiple.
To give an example:
let y = X +
Then the LCM for 4 and 5 will be 20;
as factor of 4 are 1,2 and that of 5 are 1,5
then to eliminate the fractions from the equation
Multiplying both sides by 20
y x 20= X x 20 +
x 20
20y= 3 x 5X + 9 x 4
20y = 15X + 36
Learn more about Fractions at:
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Answer:
The probability that x equals 19.62 is 0
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean and standard deviation
, the z-score of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
In the normal probability distribution, the probability of an exact value, that is, P(X = x) is 0. Thus, the probability that x equals 19.62 is 0
9514 1404 393
Answer:
"complete the square" to put in vertex form
Step-by-step explanation:
It may be helpful to consider the square of a binomial:
(x +a)² = x² +2ax +a²
The expression x² +x +1 is in the standard form of the expression on the right above. Comparing the coefficients of x, we see ...
2a = 1
a = 1/2
That means we can write ...
(x +1/2)² = x² +x +1/4
But we need x² +x +1, so we need to add 3/4 to the binomial square in order to make the expressions equal:
_____
Another way to consider this is ...
x² +bx +c
= x² +2(b/2)x +(b/2)² +c -(b/2)² . . . . . . rewrite bx, add and subtract (b/2)²*
= (x +b/2)² +(c -(b/2)²)
for b=1, c=1, this becomes ...
x² +x +1 = (x +1/2)² +(1 -(1/2)²)
= (x +1/2)² +3/4
_____
* This process, "rewrite bx, add and subtract (b/2)²," is called "completing the square"—especially when written as (x-h)² +k, a parabola with vertex (h, k).