Answer: y = - 6x + 2
Step-by-step explanation:
The equation of a straight line can be represented in the slope intercept form as
y = mx + c
Where
m = slope = (change in the value of y in the y axis) / (change in the value of x in the x axis)
The equation of the given line is
4y + 24x = 32
Rearranging it so that it will take the slope intercept form, it becomes
4y = - 24x + 32
Dividing through by 4, it becomes
y = - 6x + 8
Comparing with the slope intercept form, slope = - 6
If two lines are parallel, it means that they have the same slope. Therefore, the slope of the line passing through (1,-4) is - 6
To determine the intercept, we would substitute m = - 6, x = 1 and y = -4 into y = mx + c. It becomes
- 4 = - 6 × 1 + c = - 6 + c
c = - 4 + 6 = 2
The equation becomes
y = - 6x + 2
We have to find the expected value for the PlayBall lottery.
The price of the ticket = $1
Prize amount = $250
If a player wins, he will be winning $249 as the price is not paid back along with the prize amount. He is spending $1, getting back $250, so the net amount he is getting back is $249.
Now we have to find the probability of winning and losing.
Number of letters from A to T = 20
Number of digits from 0 to 9 = 10
Probability of picking up the same letter that was picked on that day = 1/20
Probability of picking up the same number that was picked on that day = 1/10
Thus, the Probability of picking up the same letter and same number that was picked on that day =
Thus, the probability of winning = 1/200
The probability of losing =
The expected value E for the PlayBall lottery will be:
Thus, the option C gives the correct answer
The equation for the parallel line containing C is: y=-3x+14.
Graph with answer and work is on this link: https://www.geogebra.org/classic/fyh68dj4
If you need a graphing calculator, GeoGebra is great!
Hope this helps :)
Answer:
From this statement Brittany should have to complete all these steps that are given in other options.
Step-by-step explanation:
Brittany is writing a business report about workplace. So she realized that data should be secured and she conducting a interview with data data security expert.
In my point of view all there options are correct he should have to follow all steps which include the arrangements to arrive on time before interview
and she should learn about the individual she is interviewing.
she should have to sue open ended question
Answer:
z=-8 and z=8
Step-by-step explanation:
A rational expression is undefined when its denominator is equal to zero, so our expression is undefined when . Solving for z, we get