Answer:
f(5x+3) = 10x + 9
Step-by-step explanation:
f(x) = 2x + 3
f(5x+3) = ??
Given this information, we know that x = 5x + 3. Therefore, to solve the new equation we need to plug 5x + 3 into the original equation
f(5x+3) = 2(5x+3) + 3
Now we distribute the 2
f(5x+3) = 10x + 6 + 3
Finally, combine like terms
f(5x+3) = 10x + 9
Answer:
420in^2
Step-by-step explanation:
Given data
Length of base= 6 in
Widht of base= 70 in
We know that area= Length*Width
substitute
Area= 6*70
Area= 420 in^2
Hence the area of the base is 420in^2
Answer:
155
Step-by-step explanation:
The problem sounds complicated, but it's not. Let's analyse.
The city manager have come up with an equartion y=11x +12, with Y is the total number of the stores and X stands for how long it has been since 2003.
We can't explain how the manager came up with this equation, so iwe don't need to think of if the equation is real or not. Let's just base on what we have.
Because the equation aboce is a trendy line, it means that it would likely to be true with any X ( number of years since 1990).
In Tracy's case, the year is 2003, so it has been 2003 - 1990 = 13 years since 1990. This is the X in the equation. Now we only need to find Y in the equation, which is the number of retail stores there were in 2003, exactly what the problem asks.
y= 11x + 12
=> In Tracy's case: y= 11*13 + 12= 155
So the number of retail stores there were in 2003 was 155
Answer:
56.31 degrees
Step-by-step explanation:
6 = opposite and 4 = adjacent
Tan = opposite over adjacent
Tan(theta)=6/4
=56.30993247