Alex is thinking of a number. The number has a square root between 7 and 8, and it is a multiple of 12. What is the number(s)?

Which number has a square root that is between 7 and 8?

NUMBERSQUARESQUARE ROOT

6362.449

7492.646

8642.828

9813.000

Step-by-step explanation:

12 = 3 x 2"; 25 = 5?, and 35 = 5 × 7; therefore 3 x 2" x 5” x 7 = 210

=====================================

explanation

the graph has a slope of 1/3 because each time you move up 1, you go to the right 3. so, slope = rise/run = 1/3. we can cross choice a off the list since we want a slope of 3, rather than 1/3.

the first table shown has a slope of -3. this is because the rise is -6 and the run is 2, so slope = rise/run = -6/2 = -3. note how x increases by 2 each time (run) and y drops by 6 each time (rise). choice b can be eliminated.

the second table has a slope of 3. each time x goes up by 1, the y values increase by 3. slope = rise/run = 3/1 = 3. alternatively you can use the slope formula to prove that the slope is 3 here. use any two rows of values to generate the two points. choice c is one of the answers

the third table also has a slope of 3. let's use the slope formula to prove as such. i'm going to use the first two rows of the table. so i'll use the two points (2,1) and (5,10)

m = slope

m = (y2-y1)/(x2-x1)

m = (10-1)/(5-2)

m = 9/3

m = 3 so we get a slope of 3

choice d is the other answer

hi

step-by-step explanation: