Answer:
y = -4x + 1
Step-by-step explanation:
The line passes through points (-5,21) and (-4,15)
Slope(m) = change in y ÷ change in x
m = 
m = 
= -36/9 = -4
Taking another point (x,y) on the line and comparing it with point (4,-15):
-4 = 
Cross multiplying gives:
y + 15 = -4x + 16
y = -4x + 1
The exponent indicates how many times the base is used as a factor
Answer:
15: Yes, no, yes, yes, no; 16A: C = ($0.29)X + ($1.45)Y + ($2.50)Z; 16B: Yes
Step-by-step explanation:
For question 15: We need to multiply the widths and lengths given to see if they equal the area we are trying to achieve. Therefore, some of them work, and some do not.
For question 16:
Part A: We'll set a variable for the number of each supply she can buy. Pencils will be represented by X, pens by Y and Notebooks by Z, and we'll represent total cost by C. The total cost will therefore be represented by C = ($0.29)X + ($1.45)Y + ($2.50)Z.
Part B: We'll plug the numbers of items she wants to buy into our formula and see if it comes out to less than $20. So in this case C = ($0.29)(3) + ($1.45)(4) + ($2.50)(2). Therefore, C = $11.67, which is less than $20, so she can afford her school supplies.
List the factors of 24,30, and 24. Factors of 24: 1,2,3,4,6,8,12,24. Factors of 30: 1,2,3,5,6,10,15,30. Factors of 42: 1,2,3,6,7,14,21,42. The highest number that all of these numbers is 6. Therefore, the greatest common factor of GCF of 24,30, and 42 is 6.
-7x-3x > -14-6; -10x > -20 divide both sides by -10; x < 2; Solutions are: A)-10, C) -5, E) -3, G)0
