The first thing you should do for this case is to use the following table to perform the equation of a line:
y x
41,431 1995
48,729 2005
We have then that the line that best fits this data is
y = 729.8x - 1E + 06
Then, to know in what year the number of shopping centers reaches 80,000 we must replace this number in the equation of the line and clear x:
80000 = 729.8x - 1E + 06
Clearing x
x = (80000 + 1E + 06) / (729.8) = 1479.857495
nearest whole number
1480
This means that after 1480 years, 80000 shopping centers are reached.
Equivalently, this amount is reached in the year:
1480 + 1995 = 3475
In the year 3475
answer
(a) y = 729.8x - 1E + 06
(b) In the year 3475
Answer:
D(4 units right, 2 up)
Step-by-step explanation:
You must pick a point which does not have an apostrophe. Then you see how which direction is goes (e.g left or right) and then you see the height (up and down) and combining all this the answer would be 4 units right, 2 up
I'll just factor the above equation.
x² + 18x + 80
x² ⇒ x * x
80
can be:
1 x 80
2 x 40
4 x 20
5 x 16
8 x 10 Correct pair
(x+8)(x+10)
x(x+10) +8(x+10) ⇒ x² + 10x + 8x + 80 = x² + 18x + 80
x+8 = 0
x = -8
x+10 = 0
x = -10
x = -8
(-8)² + 18(-8) + 80 = 0
64 - 144 + 80 = 0
144 - 144 = 0
0 = 0
(-10)² + 18(-10) + 80 = 0
100 - 180 + 80 = 0
180 - 180 = 0
0 = 0
I think the algebra tiles will not be a good tool to use to factor the quadratic equation because the equation is not a perfect square quadratic equation.
Answer:
<u>Given</u>: base = 10.4ft, height = 12.5
Area of octagon = 8(1/2 × b × h)
- 8(1/2 × 10.4 × 12.5)
- 520ft²
Volume of pool = 520ft² × 3ft
Now, 1 cubic ft takes 7.5 gallons to fill.
Therefore, 1560 cubic ft takes,
So, <u>Correct choice</u> - [D] 11,700.
The correct answer to this question is letter "D. x = 21, y = 14."
18 : 12
27 : x - 3
24 : y + 2
18 / 12 = 27 / x - 3
3 / 2 = 27 / x - 3
54 = 3x - 9
3x = 54 + 9
3x = 63
x = 21
18 / 12 = 24 / y + 2
3 / 2 = 24 / y + 2
48 = 3y + 6
3y = 48 - 6
3y = 42
y = 14
