Answer:
y=-\frac{5}{3} x+\frac{10}{3} or what is the same: ![5x+3y=10](https://tex.z-dn.net/?f=5x%2B3y%3D10)
Step-by-step explanation:
First we find the slope of the line that goes through the points (-4,10) and (-1,5) using the slope formula: ![slope=\frac{10-5}{-4-(-1)} =\frac{5}{-3} =-\frac{5}{3}](https://tex.z-dn.net/?f=slope%3D%5Cfrac%7B10-5%7D%7B-4-%28-1%29%7D%20%3D%5Cfrac%7B5%7D%7B-3%7D%20%3D-%5Cfrac%7B5%7D%7B3%7D)
Now we use this slope in the general form of the slope- y_intercept of a line:
![y=-\frac{5}{3} x+b](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B5%7D%7B3%7D%20x%2Bb)
We can determine the parameter "b" by requesting the condition that the line has to go through the given points, and we can use one of them to solve for "b" (for example requesting that the point (-1,5) is on the line:
![y=-\frac{5}{3} x+b\\5=-\frac{5}{3} (-1)+b\\5=\frac{5}{3}+b\\5-\frac{5}{3}=b\\b=\frac{10}{3}](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B5%7D%7B3%7D%20x%2Bb%5C%5C5%3D-%5Cfrac%7B5%7D%7B3%7D%20%28-1%29%2Bb%5C%5C5%3D%5Cfrac%7B5%7D%7B3%7D%2Bb%5C%5C5-%5Cfrac%7B5%7D%7B3%7D%3Db%5C%5Cb%3D%5Cfrac%7B10%7D%7B3%7D)
Therefore, the equation of the line in slope y_intercept form is:
![y=-\frac{5}{3} x+\frac{10}{3}](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B5%7D%7B3%7D%20x%2B%5Cfrac%7B10%7D%7B3%7D)
Notice that this equation can also be written in an equivalent form by multiplying both sides of the equal sign by "3", which allows us to write it without denominators:
![y=-\frac{5}{3} x+\frac{10}{3}\\3*y=(-\frac{5}{3} x+\frac{10}{3})*3\\3y=-5x+10\\5x+3y=10](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B5%7D%7B3%7D%20x%2B%5Cfrac%7B10%7D%7B3%7D%5C%5C3%2Ay%3D%28-%5Cfrac%7B5%7D%7B3%7D%20x%2B%5Cfrac%7B10%7D%7B3%7D%29%2A3%5C%5C3y%3D-5x%2B10%5C%5C5x%2B3y%3D10)
1/5...
This question should be relatively easy for a high schooler...
Answer:
a) 675 000
b) 685 000
Step-by-step explanation:
The population of a town is 680 000 correct to the nearest 10 000.
a) To find it lower bound, we level of accuracy by 2 and then subtract from 680 000
The lower bound is:
680 000-5000=675,000
Therefore the least possible population of the town is 675 000
b) We repeat the same process to find the upper bound
680 000+5000=685,000
We have to add 3 2/3 + 2 2/3 using fraction strips. 3 2/3 and 2 2/3 are the mixed numbers. The mixed numbers consists of a whole number and a fraction. If we want to add those numbers we shoukld change them into improper fractions: 3 2/3 = ( 3 * 3 + 2 ) / 3 = 11 / 3; 2 2/3 = ( 2 * 3 + 2 ) / 2 = 8 / 3. Finally: 11 / 3 + 8 / 3 = ( 11 + 8 ) / 3 = 20 / 3 = 6 2/3. Answer: You reneme it turning them into improper fractions<span>. </span>