Answer:
8x - 10
Step-by-step explanation:
Combine like terms:
2x + 6x - 10
= 8x -10
56 ounces are 3.5 pounds because 16 ounces are 1 pound and if you divide 56 by 16 you get 3.5
This problem is an example of an arithmetic series.
The common difference of the second term (15) with the first term (9) and the third term (21) with the second term (15) [15-9=6; 21-15=6] is 6.
The formula for solving this is:
An= A1 +(n-1)*d where An is the nth term, A1 is the first term, n is the number of terms and d is the common difference.
An=9+ (31-1)*6 = 189
The answer is 189.
Answer:
a=1
Step-by-step explanation:
Because x-1 is factor of f(x)
for x1=1, f(1)=0, then
f(1)=5*1^3+a*1^2-4*1-2=0
5*1+a*1-4-2=0
5+a-6=0
a-1=0
a=1
We are given polynomial:
.
We need to explain why the binomial (x + 2) IS a factor of this polynomial expression and why the binomial (x + 1) IS NOT a factor of this polynomial expression.
Let us set first factor equal to 0 and solve for x.
x+2=0
x=-2.
Plugging x=-2 in given polynomial, we get



<em>Because x=-2 gives 0 on plugging in given polynomial, so it's factor of given polynomial expression.</em>
Now, let us check second factor x+1=0
x=-1.
Plugging x=-1 in given polynomial, we get

=-5+8+7-6.
= -4.
<em>Because x=-1 doesn't gives 0 on plugging in given polynomial, so it's not a factor of given polynomial expression.</em>