Step-by-step explanation:
Use formula to find the slope/gradient

(-5, -1) = (x1, y1)
(5, 11) = (x2, y2)
So,

Hi there! The answer is C.
We can find the slope of this line by making y the subject of the equation.

Now we can see that the slope of this line (which is positioned in front of x) is 3/4. Therefore, the slope of any line parallel to this one is 3/4 as well. The answer is C.
Figure the fraction of box tops each class collected, then multiply the prize money by that fraction.
Total box tops = 3760 +2301 +1855 = 7916
Mr Coronado's class's fraction: 3760/7916 × $600 = $284.99
Mrs De Souza's class's fraction: 2301/7916 × $600 = $174.41
Mr Nost's class's fraction: 1855/7916 × $600 = $140.60
<u>Answer:</u>
If x-2 is a factor of p(x) = x^{4} - 3 x^{2} + 2 x - 8 ,then p(x) = 0
<u>Solution:</u>
According to factor theorem of polynomials,
x-a is a factor of polynomial p(x), if and only p(a)=0
<u>Step 1:</u>
Since x-2 is factor of p(x),
x - 2 = 0
x = 2
<u>Step 2:</u>

By substituting x = 2 in equation 1,

p(x) = 16 - 3(4 ) + 4 -8
p(x) = 16 - 12 - 4
p(x) = 16 - 16
p(x) = 0
Since x - 2 is a factor of p(x) , we get p(x)=0