Answer:
1 "The product of two irrational numbers is SOMETIMES irrational." The product of two irrational numbers, in some cases, will be irrational. However, it is possible that some irrational numbers may multiply to form a rational product.
2 The quotient has widespread use throughout mathematics, and is commonly referred to as a fraction or a ratio. For example, when dividing twenty (the dividend) by three (the divisor), the quotient is six and two thirds. In this sense, a quotient is the ratio of a dividend to its divisor.
3 The sum of two irrational numbers, in some cases, will be irrational. However, if the irrational parts of the numbers have a zero sum (cancel each other out), the sum will be rational. "The product of two irrational numbers is SOMETIMES irrational."
Step-by-step explanation:
Answer: D) (x+1)(x + 2)(x-3)
This is because the roots are x = -1, x = -2 and x = 3
Simply get all the numbers to each side to have 0 on the right side
x = -1 turns into x+1 = 0
x = -2 turns into x+2 = 0
x = 3 turns into x-3 = 0
The three factors are (x+1), (x+2) and (x-3)
Which leads to (x+1)(x+2)(x-3)
Answer:
$6
Step-by-step explanation:
Set up a system of equations where b is the cost of a book and m is the cost of a movie:
9b + 5m = 124
4b + 21m = 318
Solve by elimination by multiplying the top equation by -21 and the bottom equation by 5:
-189b - 105m = -2604
20b + 105m = 1590
Add the equations together, then solve for b:
-169b = -1014
b = 6
So, the cost of a book is $6
Well, basically what they are trying to do is isolate the y variable on the left side of the equation in order to get it in slope-intercept form (y=mx+b where "m" equals the slope and "b" is the y-intercept). So, in order to do this they have to do the inverse operations (so if it's adding they subtract, and if it's multiplying they divide.) Anyways, they do this with the intention of getting only the variable "y" on the left side of the equal sign. Once they did all that they got it in slope intercept form, and they know that the coefficient in front of the variable x is the slope.
Answer:
20 miles in an hour.
Step-by-step explanation:
4/5=0.8
16/0.8=x/1
cross product
0.8*x=16*1
0.8x=16
x=16/0.8
x=20
