Answer:
Step-by-step explanation:
Given line = 30x - 5y = 5 or y = 6x + 1
so, the slope of the given line is 6.
now, let the line which is perpendicular to the given line be y = mx + c
where,
m = slope of the line
c = constant
As we know, if two lines are perpendicular to each other, the value of product of there slopes are -1.
so, slope of given line × slope of perpendicular line = -1
⇒ 6(m) = -1
⇒ m =
By substitutiong the value of m in the equation, we get;
⇒
For c,
as the point (0,-3) passes through the line, we get;
⇒
⇒
Hence,
The line which is perpendicular to the given line and passes through (0,-3) is .
Answer:
4.6%.
Step-by-step explanation:
The probability that a can of paint contains contamination(C) is 3.23%
P(C)=3.23%
The probability of a mixing(M) error is 2.4%.
P(M)=2.4%
The probability of both is 1.03%.
We want to determine the probability that a randomly selected can has contamination or a mixing error. i.e.
In probability theory:
The probability that a randomly selected can has contamination or a mixing error is 4.6%.
Answer:
y= 4/2x -4
Step-by-step explanation:
in general, the graph of y = f(x-a) is a shift a units right if a is positive and shift of a units left if a is negative. for example, y = f(x-2) is 2 units right of f(x) and y=f(x+2) is 2 units LEFT.
in general, the graph of y = f(x) + a is a shift a units up if a is postiive and a units down if a is negtaive. For example, y = f(x) + 4 is 4 units up and y=f(x)-4 is a shift of 4 units down.
Note that f(x) = sqrt(x) here, so we have f(x+4) = sqrt(x+4) for 4 units left. Then you do f(x+4) + 6 = sqrt(x+4) + 6 for 6 units up.
Your answer is g(x) = sqrt(x+4) + 6