Answer:
Here's one way to do it.
Step-by-step explanation:
-24 ÷ (-4)
-24 is the final number on the number line
-4 means you count by 4s on the number line moving backwards.
- Start at 0 facing forward.
- Move backwards in steps of four units from 0 to -24.
- Count the number of steps you took (six).
Answer: +6 (The sign is + because you are still facing forward).
Answer:
The ration of 15 to 10 is 3/2
Step-by-step explanation:
Answer:
10 miles.
Step-by-step explanation:
Let x be the number of miles on Henry's longest race.
We have been given that Henry ran five races, each of which was a different positive integer number of miles.
We can set an equation for the average of races as:
As distance covered in each race is a different positive integer, so let his first four races be 1, 2, 3, 4.
Now let us substitute the distances of 5 races as:
Let us multiply both sides of our equation by 5.
Let us subtract 10 from both sides of our equation.
Therefore, the maximum possible distance of Henry's longest race is 10 miles.
Answer:
22x^2 -10xy + 12x
Step-by-step explanation:
To add and subtract polynomials, combine only like terms. When doing it vertically, stack polynomials and line up the same bases and exponents. Once this is done, simply add and subtract the coefficients.
10x^2 + 12xy + 4x
+ 12x^2 -22xy + 8x
_________________
22x^2 -10xy + 12x
Here we added 10 + 12 = 22, 12 + -22 = -10 and 4 + 8 = 12.
Answer:
domain is [-3,3] & range is [-3,3]
Step-by-step explanation:
When given a graph of a circle and ask to solve range and domain....
First: <u>find the four points</u> of the circle:
(-3,0);(3,0);(0,-3);(0,3) . <em> **Best to plot these points on this graph to understand where the points are and what we are looking at.</em>
Second: Look for <u>range(vertical directions/left and right) and domain(horizontal direction/up and down)</u>.
domain: x-values, first coordinate (-3,0) & (3,0)
range: y-values, second coordinate (0,-3);(0,3)
Third: take what you know and solve domain and range*include bracket to show domain and range
domain is [-3,3] & range is [-3,3]
