Answer:
f(x) = 7/(x+3) -38/(x+3)²
Step-by-step explanation:
The denominator is a perfect square, so the decomposition to fractions will involve both a linear denominator and a quadratic denominator.
You can start with the form ...
... f(x) = B/(x+3) + A/(x+3)²
and write this sum as ...
... f(x) = (Bx +3B +A)/(x+3)²
Equating coefficients gives ...
... Bx = 7x . . . . . B = 7
... 3B +A = -17 . . . . the constant term
... 21 +A = -17 . . . . filling in the value of B
... A = -38 . . . . . . . subtract 21 to find A
Now, we know ...
... f(x) = 7/(x+3) -38/(x+3)²
Answer:
he will pay more
Step-by-step explanation:
in totoal he will pay 413.40 because apr is interest
his interest total will be 13.40$
Step-by-step explanation:
Area of Rectangle at the top =
Length x Width

Area of Quarter- Circle = 1/4 x Area of Circle

Area of Rectangle at the right = Length x Width

Total Area = Area of 2 Rectangles + Area of Quarter Circle

I will leave the answer in terms of pi as I'm not sure if you need to round off your answer.
Answer:
Step-by-step explanation:
h^2=x^2+y^2, here x and y are equal so we can say
h^2=2x^2, we see that h=2(2^(1/2)) so
2x^2=8
x^2=4
x=2
Answer: Yes, it means 3 times the square root of 2. First, find the square root of 2. Then multiply that value by 3. You can also type it into a calculator, and it will give you the exact value.