The answer is b. The Remainder<span> Theorem says that if a polynomial </span>f(x<span>) is divided by </span>x<span> – k, then </span>the remainder<span> is </span>f(k). k=3 in our case, so the remainder is simply f(3). Plug in x=3 into <span>f(x) = 7x4 + 12x3 + 6x2 - 5x + 16. f(x)=946. So the answer is b.</span>
Answer:

Step-by-step explanation:
Given
See attachment
Required
Determine the slope of the line
From the attachment, we have the following points

and

The slope m is then calculated using:

Substitute values for the x's and y's




<em>Hence, the slope is 0</em>
Answer:
Loss %age = 25%
Step-by-step explanation:
<u><em>Cost Price of Item</em></u> = 250,000/-
<u><em>Loss </em></u>= 1/4 = 0.25 of 250,000
=> 62,500 /-
<u><em>%age Loss</em></u> = 
=> 62,500 * 100 / 250,000
=> 6,250,000/250,000
=> 25 %
The probability of NOT getting a 1 or a 9 means you have to subtract those two numbers and how many of each are out. Once you do that, count the remaining numbers, put them as the numerator, and then put the overall total of numbers as the denominator. Your answer is 7/9.
Alright, so let's make both 7/8 and 3/10 into fractions with the same denominator.
The lowest common denominator for both of these is 80.
So, we multiply the top and bottom of 7/8 by 10, and the top and bottom of 3/10 by 8 to get fractions we can compare.
So, we have 70/80 of a candy bar, and we want to make servings of 24/80 each.
How many times can 24 go into 70? 2 times, with a remainder of 22.
So, Tony can make 2 servings.