Answer:four units left one unit up
Step-by-step
on a Cartesian plane
x increases positively as you move along the right side of the plane
and decreases as you move along the left side of the plane.
y increases positively as you go up the plane
and decreases as you move downward the plane.
Step-by-step explanation:
To find the slope intercept form, you plug in the slope and the points given and find whats missing
y=mx+b
slope is -2
given points are (4,-3)
-3=-2(4)+b (multiply -2 and 4)
-3=-8+b (add 8 to both sides)
5=b
so the equation for the slope intercept form would be
y=-2x+5
Answer:
£160,000
Step-by-step explanation:
Alice bought the house in 2008 for £x.
In 2014, the house sold for a 20% profit, so it sold for 1.2x. (* see explanation below)
In 2019, the house sold for a 5% loss, so it sold for 0.95(1.2x). (* see explanation below)
In 2019, it sold for £182,400.
0.95(1.2x) = 182,400
1.14x = 182,400
x = 182,400/1.14
x = 160,000
Answer: £160,000
* Explanation of 1.2 and 0.95.
A quick way to apply a percent increase or decrease to a number is to using the following method. The number you start with is 100% of the number. If you are adding a percent to it, then add the percent to 100% and convert it to a decimal. If you are subtracting the percent, then subtract the percent from 100% and convert to a decimal. Then multiply the decimal by the original number to find the increased or decreased number.
Example of percent increase:
A book used to cost £10. The price went up by 12%. What is the new price?
100% + 12% = 112% = 1.12
1.12 * £10 = £11.20
Example of percent decrease:
A pair of trousers costs £60. It is on sale at 35% off the regular price. What is the sale price?
100% - 35% = 65% = 0.65
0.65 * £60 = £39
Answer:
Option C The parties with a larger number of customers are associated with the longer times elapsed until the party left the restaurant.
Step-by-step explanation:
The correlation coefficient 0.78 shows that positive association between two variables number of customers and elapsed time until party left restaurant.
The positive association means that as the number of customers in a party increases the elapsed time also increase. So, we can say that the parties with a larger number of customers are associated with the longer times elapsed until the party left the restaurant.
Answer:
1/6
Step-by-step explanation:
The number of ways they can line up is 3×2×1 = 6. Only one of these is alphabetical order. The probability that they will line up randomly in alphabetical order is 1/6.
__
Any of the three can line up first; either of the remaining two can line up second, and the remaining person can line up last. Thus there are 3×2×1 possible orders.
