Answer:
= 5 ( 12d + 23f )
Step-by-step explanation:
-2(5d-9f)+7f-10(-9f-7d
Open parenthesis
= -10d + 18f + 7f + 90f + 70d
Collect like terms
= -10d + 70d + 18f + 7f + 90f
= 60d + 115f
Factorise
= 5 ( 12d + 23f )
Therefore,
-2(5d-9f)+7f-10(-9f-7d) in its simplest form is 5 ( 12d + 23f )
The percent of change would be -33.3% which would then equal a 33.3% decrease (when decimal is rounded)
what I did was turn 1/4 and 1/2 into decimals to make it easier to solve
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.
Answer:
1/3
Step-by-step explanation:
To change from one base to another, we use the formula
Logb x = Loga x/Loga b
log1/9 (3^(1/3) /3)
log3 ((3^(1/3) /3))
-------------------------
log3 (1/9)
Log a /b = log a - log b
and 1/9 = 3^-2
log3 ((3^(1/3) ) - log3 (3)
-------------------------
log3 (3^-2)
log a^b = blog a
1/3 log3 (3 ) - log3 (3)
-------------------------
-2log3 (3)
We know log3 (3) =1
1/3 (1) - 1
-------------------------
-2 (1)
1/3 - 1
-------------------------
-2
-2/3
------
-2
Copy dot flip
-2/3 * -1/2
1/3
9x(12+7)
distribute the 9x
108x+63
