We're dividing fractions, so we will flip the one in the denominator upside down and we will multiply it with the numerator.
Let's equal this too 8/x
Cross multiply.
Divide both sides by 15.
Answer:
This is an exponential growth problem.
The growth rate is 4% (0.04).
The time is 10 years (10 years from 2005 to 2015)
A = P(1+i)t
A = amount spent in 2015
P = amount spent in 2005
i = interest rate expressed as a decimal
t = # years
A = 500(1.04)10
A = 500(1.480244)
A = 740.122 ==> 740 billion
Step-by-step explanation:
Answer:
The vertex is (-3, 7)
Step-by-step explanation:
As the equation is already in 'rectangular form), to work out the vertex, we can just compare this equation to that of the standard parabola y = x^2, and in particular, consider how it has been translated:
the (x+3) part moves the graph the the left 3 (i.e in the negative direction), while the +7 moves the graph up 7.
So as the vertex of the simple parabola y = x^2 is (0,0), the vertex of this graph is just (-3,7).
Note that the -2 at the front doesn't impact this vertex - this -2 just changes the 'scale' of the parabola (i.e makes it more narrow, and also turns it upside down as it's a negative number).
Answer: Function 1
Step-by-step explanation:
Function 1 has rate of change of
(15.75 - 14.25)/(1 -(-1)) = 0.75. This was calculated using slope formula.
Function 2 has rate of change of 5/6, which is 0.833.
Answer: 
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