Answer is 10(2k+5)
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Work Shown:
20k+50 = 10*2k + 10*5
20k+50 = 10(2k+5)
Note how we can distribute the 10 back in to check our work
10(2k+5) = 10(2k)+10(5) = 20k+50
so that confirms we have the right answer
Another thing to notice is that 10 is the largest factor that we can pull out of 20k and 50. The value 10 is the GCF (greatest common factor) of 20 and 50.
The scale factor is six and the dilation is an enlargement.
Divide the current with the previous
18/15 = 1.2
move the decimal point to the right two places to get the percentage
120% is your answer
hope this helps
Answer:
g(x), because an increasing exponential function will eventually exceed an increasing quadratic function
Step-by-step explanation:
From data, we know that for greater x values, g(x) is greater than f(x).
It is also known that exponential function has greater values than quadratic function for large enough x values.
Answer: t= 4 seconds
Maximum height = 256 feet
Step-by-step explanation:
The height of the object projected upwards after t seconds is given by
s(t)=-16t^2+128t.
The expression is a quadratic equation. When this equation is plotted on a graph, height against time, it takes the shape of a parabola whose vertex represents the maximum height attained by the object.
To get the value of t at the maximum height,
t = -b/2a
From the equation,
a = -16
b = 128
t = -128/-2×-16
= -128 /- 32= 4
it will take 4 seconds to reach its maximum height
To find maximum height attained, put t= 4 in the equation
s(t)=-16t^2+128t
S = -16× 4^2 + 128×4
S = -256+512
S = 256 feet
