ANSWER
Quotient:

Remainder:

EXPLANATION
The given functions are

and

We want to find the remainder and quotient when f(x) is divided by g(x).
We perform the long division as shown in the attachment.
The quotient is

The remainder is
Answer:
Equation
is in the standard dorm.
Step-by-step explanation:
Here, the x - intercept = 4 , so ( 4,0) is a point on the line.
and the y - intercept = 5, so ( 0,5) is a point on the line.
So, the slope of the equation is given as = 
Now, the SLOPE INTERCEPT FORM of an equation is :
y = mx + b: here m = slope and b = y- intercept
or, 
Now, standard form is Ax +By = C
So, the standard form is 
Hence, the above equation 
is in the standard dorm.
Answer:
30 blocks
Step-by-step explanation:
60 minutes = 1 hour
For one hour, she will walk 7.5 blocks.
The rate is 7.5blocks per hour.
Multiply this by 4 hours, and you will get 30 blocks.
(7.5)4 = 30
0 because the square root of zero is zero and two divided by zero is zero
We have to calculate the amount of money Peter will have in his account after 5 years. Formula for the amount after t years with interest compounded continuously : A = P * e^(r t ). We know that r = 0.06; t = 5; e = 2.71 and P = $8,000. A = 8,000 * 2.718^( 0.06 * 5 ) = 8,000 * 2,718^( 0.3 ) = 8,000 * 1.3488158 = 10,798.53. Answer:<span> B. $10,798.53. </span>