Answer:
Step-by-step explanation:
we are given
(A)
(f×g)(x)=f(x)*g(x)
now, we can plug it
we can simplify it
(B)
Domain:
Firstly, we will find domain of f(x) , g(x) and (fxg)(x)
and then we can find common domain
Domain of f(x):
we know that f(x) is undefined at x=0
so, domain will be
∪
Domain of g(x):
Since, it is polynomial
so, it is defined for all real values of x
now, we can find common domain
so, domain will be
∪..............Answer
Range:
Firstly, we will find range of f(x) , g(x) and (fxg)(x)
and then we can find common range
Range of f(x):
we know that range is all possible values of y for which x is defined
since, horizontal asymptote will be at y=0
so, range is
∪
Range of g(x):
Since, it is quadratic equation
so, its range will be
now, we can find common range
so, range will be
∪.............Answer
Answer:
5.3
Step-by-step explanation:
first u have to get ur numbers then divide 53 by 10
Option C. The statement that describes the graph of the equation y + 2 ≥ –4(x – 3)2 is a a parabola opening down, with shading above the vertex.
<h3>How to describe the shape of the parabola.</h3>
To do this you have to create a graph of the equation as seen in the attachment.
From the attachment we can see that the parabola is shaped downwards while we have the shading to be at the top of the vertex.
Read more on parabola here:
brainly.com/question/22772615
#SPJ1
Answer:
H.
Step-by-step explanation:
H is not a function because its x-values occur more than once.
HTH :)
I’m assuming you mean 7.2% for the annual interest rate and not 72%. If the annual interest rate is 7.2% then the interest after 6 months is $54.
To solve this problem, you us the equation A=P(1+rt)
A stands for the amount of money accumulated after t years
P stands for principal
r stands for annual interest rate
t stands for time (in years)
Next you need to plug it into your formula which should look like this...
A=1500(1+(0.072*0.5))
When you plug in your annual interest rate, you have to move your decimal place 2 places to the left. That is why 7.2% is 0.072 in the formula above.
The reason that I plugged in 0.5 for the time instead of 6 months is because the time in this formula is calculated in years. For example, if the question told you the time was 12 months, 12 months is one year, so you would plug in a 1 for t. Since your question asked for 6 months, 6 months is equal to half a year or 0.5 of a year. That is why t is 0.5 in the formula.
Now that you have your problem, the next step is to solve. I will show you what that looks like down below.
A=1500(1+(0.072*0.5))
A=1500(1+(0.036))
A=1500(1.036)
A=1554
From this problem, we just solved for how much money is in this account after 6 months which is $1554. But we’re not done yet, we are looking for how much interest was earned after 6 months.
To find this, all you have to do is subtract the amount earned after 6 months ($1554) by the principal amount ($1500) using this formula (the I stands for Interest).
A-P=I
1554-1500= 54
The interest earned after 6 months is $54.
(If the annual interest rate is 72% and not 7.2%, you can still use the formulas and my lesson to solve it yourself)