General form of a linear equation is ax+by+c=0 where a,b, and c are three real numbers.
So, we can shift all the terms in one side of the equation. Hence, first step is to remove y from the left side. So, subtract y from each sides.
y-y=3x+2-y
0= 3x - y +2 (By simplifying)
So, the general form of the given equation is 3x-y+2=0.
1. B
Adding a constant offset to the data does not change its variance. Scaling it, or applying a non-linear function will change the variance.
2. A
For a given number on the 3rd die, the first two dice can match it 11 ways, or have two numbers that match in 5 additional ways. Thus probability of 2 or more numbers being the same is 6*16/216 = 4/9.
Answer: 21/40
Step-by-step explanation:
25+18=?The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.
LCD(2/5, 1/8) = 40
Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.
(25×88)+(18×55)=?
Complete the multiplication and the equation becomes
1640+540=?
The two fractions now have like denominators so you can add the numerators.
Then:
16+540=2140
This fraction cannot be reduced.
Therefore:
25+18=2140
Answer:
Step-by-step explanation:
integrate with respect to x
Area is symmetric so will be twice the integral from zero to 1
( I cannot seem to figure out how to make the lower limit negative in this editor)
)
A = 6(-⅓x³ + x)
A = 6((-⅓(1)³ + (1)) - (-⅓(0)³ + (0)))
A = 6(⅔)
A = 4 units²
