The sum of three consecutive even integers is 36 . find the smallest of them
1 answer:
Answer:
10
Step-by-step explanation:
You can get the three consecutive integers by using <em>algebraic expressions.</em>
Let's solve.
Let x be the <u>smallest even integer</u>.
Let x+2 be the second even integer.
Let x+4 be the largest even integer.
- x+x+2+x+4 = 36
- 3x+6 = 36
- 3x = 36-6
- 3x = 30
- x =
- x = 10
Therefore, 10 is the smallest even integer.
x+2 = 10+2 = 12
The second even integer is 12.
x+4 = 10+4 = 14
The largest even integer is 14.
Let's check by adding the three even integers.
10+12+14 = 36
36 = 36
<em>It's correct. </em>
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Answer:
(0, 4.5)
Step-by-step explanation:
*The equation can be put into Desmos, to find the point, but the work to prove it is here*
f(x)=c/1+Ae^-Bx
Y=C
C=18 A=3 -B=-0.1
*Replace x with 0 in the equation, so you know 0 is the x value, and it leads you to the y value*
f(0)=18/1+3e^-o.1(0)
= 18/1+3e^0
=18/1+3(1)
=18/1+3
=18/4
=4.5
x=0 y=4.5
Maximum growth rate = (x,y) --> (0, 4.5)
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Answer:
2019.
Step-by-step explanation:
We have been given that for the years from 2002 and projected to 2024, the national health care expenditures H, in billions of dollars, can be modeled by where t is the number of years past 2000.
To find the year in which national health care expenditures expected to reach $4.0 trillion (that is, $4,000 billion), we will substitute in our given formula and solve for t as:
Take natural log of both sides:
So in the 18.5 years after 2000 the expenditure will reach 4 trillion.
Therefore, in year 2019 national health care expenditures are expected to reach $4.0 trillion.