Point-slope form
y -24 = -4/5(x -0)
Find x when y is 0 (X-intercept)
0 -24 = -4/5(x -0)
-24 = -4/5x
x = -120/-4
x = 30
Answer: A. 30 minutes
We have been given in a cohort of 35 graduating students, there are three different prizes to be awarded. We are asked that in how many different ways could the prizes be awarded, if no student can receive more than one prize.
To solve this problem we will use permutations.
We know that formula for permutations is given as
On substituting the given values in the formula we get,
Therefore, there are 39270 ways in which prizes can be awarded.
Answer:
So if y=-4x+2 was changed to y=-4x+5, then the y-intercept would increase by 3.
The y-intercept was (0,2) then it becomes (0,5) in the new line.
Step-by-step explanation:
The slope-intercept form a line is y=mx+b where m is the slope and the y-intercept is b.
Both of these equations given are in this form.
y=-4x+2 when compared to y=mx+b you see that m=-4 and b=2.
Since b=2 then the y-intercept is 2.
y=-4x+5 when compared to y=mx+b you see that m=-4 and b=5.
Since b=5 then the y-intercept is 5.
So if y=-4x+2 was changed to y=-4x+5, then the y-intercept would increase by 3.
Answer:
1. Markup: $2.70, Retail: $20.70
2. Markup: $9.45, Retail: $31.95
3. Markup: $25.31, Retail: $59.00
4. Markup: $24.75, Retail: $99.74
5. Markup: $48.60, Retail: $97.20
6. Markup: $231.25, Retail: $416.25
Step-by-step explanation:
To get the markup price of an item, multiply it by the markup percentage as a decimal. To get the decimal of a percentage, divide the number by 100. For example, 15% would be 0.15. And then to find how much the item has been marked up by, multiply the current price by the decimal.
$18 * 0.15 = $2.70
So $2.70 is the markup. To find the retail price, you need to add the markup price to the current price given.
$18 + $2.70 = $20.70
So your retail price is $20.70. Repeat these steps for each question to get the answers above.
Hope this helps.
The answer is A the line isn't sloping they are on the same y axis
