Hi!
(x+a)·(x+b) = x²+xa+xb+ab = x²-12x-45
x² = x²
xa+xb = (a+b)x = -12x ⇒ (a+b) = -12
ab = -45
When (a+b) = -12 and ab = -45?
+3-15 = -12 and (+3)(-15) = -45
-3-15 = -18 and (-3)(-15) = +45
+3+15 = +18 and (+3)(+15) = +45
-3+15 = +12 and (-3+15) = -45
Answer:
(x+3)(x-15)
Answer:

Step-by-step explanation:










The other factor is:

Answer:
Option c) The scale on the y-axis misrepresents the difference in the heights of the bars.
Step-by-step explanation:
Given is a histogram that shows the number of properties in a town that are sold within certain periods.
On x axis is given number of days to sell and on y axis the number of properties
X axis is given in interval form with interval width 30 and on y axis scales are marked as 0,1,2....12,13 etc
The mistake is on y axis after 0, 10 is marked with unit distance from 0 but from 10 to 11 also distance is shown as 1 unit.
Hence correct option is
Option c) The scale on the y-axis misrepresents the difference in the heights of the bars.
Answer:
Elliot has to wait 11 months before he has enough cars
Step-by-step explanation:
Elliot has 4 display cases with each case being able to hold 15 cars. Thus we know
total # of cars Elliot can place in his display case = 4 * 15 = 60 cars
From this, we can figure out how many more cars Elliot needs by subtracting the amount of cars he already has
# of cars Elliot needs = 60 - 28 = 32 cars
Now to find the number of months Elliot needs, we divide by how many he can buy each month
# of months Elliot needs to save up for = 32 / 3 = 10 2/3
Assuming Elliot does not get his allowance until the end of the month, we will have to round the number of months up to the nearest integer, 11
Answer:
(7, 64.33)
Step-by-step explanation:
For a woman suspect whose shoe size was found at the crime scene, the equation which can be used to predict the estimated height is given as:

(a)Let x=7
Then: y =1.19(7)+56=64.33
An ordered pair that is a solution to the function is (7, 64.33)
(b) The estimated height of a woman who is of shoe size 7 is 64,33 inches.