Answer:
see explanation
Step-by-step explanation:
Given
- 2a - 5 > 3 ( add 5 to both sides )
- 2a > 8
Divide both sides by - 2, reversing the direction of the inequality sign as a consequence of dividing by a negative quantity
a < - 4
Since a is less than we require an open circle at - 4 on the number line.
Since less than the arrow head is pointing to the left, that is
Graph A, the top graph illustrates the solution
Answer:
By rounding up of the constant and coefficient terms, we have;
The line of best, fit is y = 1.23 + 3.46 × 10⁻²·x
Step-by-step explanation:
The table for the data on the number of movie admissions each year is presented as follows;
Year, x
Admission, y
0
1.24
2
1.26
4
1.39
6
1.47
8
1.49
10
1.57
Using a graphing calculator, we have that the line of best fit is given by the following equation;
y = 1.23047619048 + 3.45714285714 × 10⁻²·x
Which is approximately, y = 1.23 + 3.46 × 10⁻²·x
Answer:
Length of rectangular strip = 12
area of rectangular strip = 2*12 = 24
Area of square = x^2 = 12^2 = 144
Step-by-step explanation:
Area of square x^2
area of rectangle is given by length * width
Length of rectangular strip = x
width of rectangular strip = 2
area of rectangular strip = length * width = 2*x = 2x
Area of square piece of paper when rectangular strip is taken away from it
= Area of square - area of rectangular strip
= 
It is given that Area of square piece of paper when rectangular strip is taken away from it is 120 square units.
Thus,

Thus,
either x+10 = 0 or x -12= 0
x = -10 or x = 12
but length cannot be negative hence neglecting x = -10
hence value of x is 12.
Hence,
Length of rectangular strip = 12
area of rectangular strip = 2*12 = 24
Area of square = x^2 = 12^2 = 144
Answer:
$32
Step-by-step explanation:
Put 8 where d is, and do the arithmetic.
amount left = 72 -5·8 = 72 -40 = 32
Kira will have $32 left after paying for 5 tickets.
If the reindeer do not fight, there are 5!=120 ways to line them up in a straight line.
Out of these, Bloopin and Rudy are together in 4!=24 times. Similarly Rudy and Bloopin will be together 4!=24 times. So the number of ways they are not together is 120-24-24=72 ways.