Find the slope of the line connecting (1990,435000) and (2005,482300):
482300-435000 47300
m = ----------------------- = ---------------- = 3153/yr (approx)
2005 - 1990 15 yr
Use the point-slope formula to find the equation of this str. line:
y-435000 = (3153/yr)(x-1990)
The year 2020 is 30 years after 1990. Thus, the expected pop in 2020 is
given by y-435000 = 3153(30) = 94590, so that y = 529590.
Answer:
(-2,5)
Step-by-step explanation:
4x+4y=12
6x-4y=-32
10x=-20
x=-2
4(-2)+4y=12
-8+4y=12
4y=20
y=5
Answer:
Step-by-step explanation:
A proportional constant satisfies
y/x=k, where k is the constant of proportion
Since
y/x=k
y=kx
You are given
y=1.5x so
k=1.5
The probability is 1/5, or 20%.
Explanation there are only 2 numbers on the die divisible by 4, those being 4 and 8, therefore 2/10 which simplifies to 1/5 or 20% I hope this helps :)
Answer:
A 21/4
Step-by-step explanation:
When forming a perfect square trinomial you need to "complete the square".
All of the steps to completing the square when solving an equation:
1. The leading coefficient must be 1.
2. Divide b by 2.
3. Square (b/2)
4. Add (b/2)^2 to both sides to keep the polynomial balanced.
5. You can now write the perfect square trinomial and solve.
x^2 - 3x
-3/2
(-3/2)^2 = 9/4 = 2 1/4