Answer:
Step-by-step explanation:
We can use the Polynomial Remainder Theorem. It states that if we divide a polynomial P(x) by a <em>binomial</em> in the form (x - a), then our remainder will be P(a).
We are dividing:
So, a polynomial by a binomial factor.
Our factor is (x + k) or (x - (-k)). Using the form (x - a), our a = -k.
We want our remainder to be 3. So, P(a)=P(-k)=3.
Therefore:
Simplify:
Solve for <em>k</em>. Subtract 3 from both sides:
Factor:
Zero Product Property:
Solve:
So, either of the two expressions:
Will yield 3 as the remainder.
If you are asking if (2,14) would be a point on the line, it would not because:
14≠5*2+10
Hope this helps :)
The rectangle length is 16.5 cm.
The rectangle width is 5.5 cm.
Answer:
Train got a raise of 16%
Step-by-step explanation:
To find this, start by taking the equation for percent change
(New - Old)/Old * 100 = % Change
Now plug in known values
(580 - 500)/(500) * 100 = % change
80/500 * 100 = % change
.16 * 100 = % change
16 = % change
4) 25 < k
5) 79 * m or 79m (depending on how your teacher taught you)
6) 325/5
7) the product of 87 and x
8) the sum of 38 and s
