Answer:
(x - 7)(x - 4)(x + 4).
Step-by-step explanation:
A(x) = x3 – 7x² – 16x +112
Dividing by x-7:
x^2 - 16 <-------- Quotient
-----------------------------
x-7)x^3 - 7x^2 - 16x + 112
x^3 - 7x^2
0 - 16x + 112
- 16x + 112
..............
so A(x) = (x - 7)(x^2 - 16) x^2 - 16 is the difference of 2 squares so we have:
(x - 7)(x - 4)(x + 4).
Checking by expanding the brackets:
(x - 7)(x - 4)(x + 4)
= x(x - 4)(x + 4) - 7(x - 4)(x + 4)
= x(x^2 - 16) - 7(x^2 - 16)
= x^3 - 16x - 7x^2 + 114
= x^3 - 7x^2 - 16x + 112
It is a dime cause a dime is 10¢ and you cannot divide 75 by 10 you get a decimal
Answer: The probability is 100.
Step-by-step explanation:
Maine has a cold climate in winter which means that we can expect cold weather when winter season reaches Maine.
January is a winter month so the probability that the temperature in Maine will drop below 32° in January is a certain occurrence which means that the probability is a 100%.
Solution:
As region bounded by y-axis, the line y=6, and the line y=1/2 is a line segment of definite length on y-axis.
We consider a line , one dimensional if it's thickness is negligible.
So, Line is two dimensional if it's thickness is not negligible becomes a quadrilateral.
So, Area (region bounded by y-axis, the line y=6, and the line y=1/2 is a line segment of definite length on y-axis)= Area of line segment between [,y=6 and y=1/2.]= 6-1/2=11/2 units if we consider thickness of line as negligible.
Answer:
B. 20 mph
Step-by-step explanation:
To find the average speed, take the distance and divide by the time
40 miles / 2 hours
20 miles per hour