449 and 451
x = smaller integer
the difference between 2 consecutive odd integers is 2
x + x + 2 = 900
2x + 2 = 900
-2 -2
2x = 898
/2 /2
x = 449
449 + 2 = 451 (greater integer)
Answer:
A) 4
Step-by-step explanation:
4 + 5 = 9
9 is NOT greater than 10.
Assuming you want the inverse of f(x)=x²-2,
f(x)=x²-2
repalce f(x) with y
y=x²-2
switch x and y
x=y²-2
solve for y
x=y²-2
x+2=y²
√(x+2)=y
replace y with f⁻¹(x)
f⁻¹(x)=√(x+2)
the inverse is √(x+2)
option 1 is not linear because it does not change by the same amount every year. It does not have a constant slope.
option 2 increases by 100 per year, constant slope, straight line, linear
-----------------------
a = A y^n
1100 =A y
1210 = Ay^2
1331 = A y^3
---------------
1210/1100 = y = 1.1
check 1331/1210 = y = 1.1 sure enough
1100 = A (1.1)
A = 1000
so
a = 1000 * 1.1^n
and the linear option 2
a = 1000+100n
You can put the numbers in for part C
10% compounded is better than 10% simple :)
Using proportions, it is found that the family will drive 482.8 km on the new route.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, the family travels a distance of 125% of 240 miles, hence the distance is:
D = 1.25 x 240 = 300 miles.
Since there are are approximately <u>48.28 kilometers in 30 miles</u>, and 300/30 = 10, the distance in kilometers is given by:
D = 48.28 x 10 = 482.8 km.
More can be learned about proportions at brainly.com/question/24372153
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