Answer:
y=3x-10
Step-by-step explanation:
When you have to find a parallel line, you take the slope of the other line, so we already know y=3x+b. Then, plug in 2 and -4 as your x and y values and you get -4=3(2)+b. Then solve 3×2=6, so -4=6+b, subtract 6 from both sides, -10=b.
Answer:
10.69% probability that all 12 flights were on time
Step-by-step explanation:
For each flight, there are only two possible outcomes. Either it was on time, or it was not. The probability of a flight being on time is independent of any other flight. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which 
is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
83% of recent flights have arrived on time.
This means that 
A sample of 12 flights is studied.
This means that 
Calculate the probability that all 12 flights were on time
This is P(X = 12).
10.69% probability that all 12 flights were on time
I guess the parent function to be: y = |8x|.
To translate a function m units to the right, you must substitute x by x-m. You had y = |8x|. You substitute x by x-1/4, to get:
y = |8(x-1/4)| = |8x-2|
So, the function was translated to the right 1/4 unit.
To translate a function vertically n units, you add (translate up) or subtract (translate down) m to the function. You had y = |8x-2|. You subtract 7 to get:
y = |8x-2|-7
Hence, the parent function was translated 7 units down.
The vertex is the point where the content of the absolute value changes its sign, that is, the where it equals zero:
8x-2 = 0 <=> x=1/4
The x coordinate of the vertex is therefore x=1/4. To calculate the y coordinate of the vertex, you must substitute the x coordinate in the equation of the function, to get:
x=1/4 => y = |8(1/4)-2| - 7 = -7
The vertex is, therefore, (1/4,-7).
Finally, the axis of symmetry is a vertical line through the vertex: x=1/4 (the equation of a vertical line is of the form x=a).
The correct answer is D).
Answer: D
Step-by-step explanation:
XD uwu lol
Answer:
Step-by-step explanation:
Find the complete question
Zelie planned for a square pool to have a side length of 28 ft but found that it needs to be 14 ft long to fit in her backyard. She found the change of scale below.
Which is Zelie’s error?
Zelie should have divided both numbers by 14.
Zelie should have written the ratio as 28/7.
Zelie should have written the ratio as 14/8.
Zelie should have subtracted 14 from both numbers.
Original length of pool = 28ft
If he found that it need to be 14ft longer then the actual measure = 14th
given equation is;
(28 - 7)/14 - 7 = 14/7
Scale constant = original length/actual length
Scale constant = 28/14
Scale constant = 2
Hence the scale constant is 2
According to the option, Zelei should have divided both numbers by 14.
