Answer:
x^2 - 2x + 5 = 0.
Step-by-step explanation:
The (0, 5) is the point where the parabola passes through the y axis (where x = 0), so we can write the equation as
y = ax^2 + bx + 5 where a and b are constants to be found.
Also, since (1, 4) and (2, 5) are points on the curve, substituting, we have the system:
a(1)^2 + 1b + 5 = 4
a(2)^2 + 2b + 5 = 5
Simplify these 2 equations:
a + b = -1 .................(1)
4a + 2b = 0..................(2)
Multiply the first equation by -2:
-2a - 2b = 2 .................(3)
Add (2) + (3):
2a = 2
a = 1.
Substitute a = 1 into (2):-
4*1 + 2b = 0
2b = -4
b = -2.
Answer: y= 1.5x-6
Step-by-step explanation:
1) Find the slope by using change in y over change in x: 
2) Then use the y intercept from the given: -6
3) create an equation in slope intercept form using those factors: y= 1.5x-6
Answer:
4 times larger
Step-by-step explanation:
Answer:
1,752,000
Step-by-step explanation:
1. First you have to take the 7% and multiply that by the years whish is 17 so that way you know your total percentage of growth which is 119%
2. Second you then need to find how much 1% is to find out our total growth in population so you take 800,000 and divide that by 100 since there's only 100% and you get 8,000.
3. Now you take the 8,000 and multiply that by the percentage of the growth that you have which is 8,000*119 and you get 952,000
4. Lastly all you have to do is add the growth of the population to the population you already have so 800,000+952,000=1,752,000
Answer:
2.08 x 10^11
Step-by-step explanation:
To put a number into scientific notation you move the decimal to the spot right after the first digit. To figure out what the power is you count how many digits you moved it past in order to get to the spot you want it (right after the first digit; in this case the 2)
So in this case you would move the decimal from the end of the number backwards past 9 zeros, the 8, and another zero, which is a total of 11 digits.
From there you take the number with the new decimal place and multiply by 10 to the power of the number you counted earlier, which for this example is 11
So the final answer is 2.08 x 10^11
