Answer:
C. x² − 8x + 24 − 72/(x+3)
Step-by-step explanation:
See attached picture for long division method.
Logically, we know x³ − 5x² factors to x² (x − 5). Since x + 3 isn't a factor, we know the remainder isn't 0. So we can narrow the options down to A or C.
One way to find the remainder is through long division. Or, since this is multiple choice, we multiply the options by x + 3 and see which one results in an answer of x³ − 5x².
(x + 3) (x² − 8x + 24 − 72/(x+3))
(x + 3) (x² − 8x + 24) − 72
x³ − 8x² + 24x + 3x² − 24x + 72 − 72
x³ − 5x²
Answer:
First option is correct.
Step-by-step explanation:
Let amounts of money James may have after he sees Rita be x.
It is given that either James borrowed $12 from his friend Rita or she borrowed $12 from him.
So meeting Rita second time either he will $12 or he will receive $12.
The amounts of money James may have after second meeting with Rita is:
Case 1: If he pays $12.
.... (1)
Case 1: If he receives $12.
.... (2)
On combining equation (1) and (2), we get
Subtract 42.80 from both sides.
It can be written as
Therefore first option is correct.
Frankie's yard is a rectangle with the longer side = 32ft and the shorter side = 20ft. You want to find the length of the diagonal going through the rectangle. In essence, you basically have a triangle with two sides, one 32ft, the other 20ft, and you're looking for the hypotenuse.
Let's call a=32, b=20, and you're looking for the hypotenuse c. Use the Pythagorean theorem:
Plug the numbers in to find c, the length of your path! So
Answer:
f(x) = 
+ 10
Step-by-step explanation:
Year one would be 10 + 3
Year two would be (3*3)+10
year three would be (3*3*3)+10
Which easily simplifies into + 10.
Answer: B) 18
Step-by-step explanation:
The degree of freedom for Standard error or df(Residual) is the sample size minus the number of estimated parameters ,.
df= n - p , where n= sample size , p = number of parameters.
According to the given problem , we have
Sample size : n=20
Number of parameters (x and y ): p= 2
Then, the df value for the standard error of estimate will be :
df= n-p =20-2=18
Thus , the df value for the standard error of estimate is 18 .
Hence, the correct answer is B) 18 .
