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.
Answer:
1034
Step-by-step explanation:
Answer:In 2017, the NRSS reported that external theft or customer shoplifting were responsible for 37.5% of retail shrinkage. And 33.2% of retail shrinkage was caused by employee or internal theft.
Step-by-step explanation:
Answer:
first option 1/2
Step-by-step explanation:
2,3,5 are the prime numbers from that set
each individual number has a 1 in 6 chance of landing on it and we have 3 so...
3 of 6 possibilities would be prime numbers. Simplify to...
1 in 2
Answer:
y = -1/3x - 4 (slope-intercept form)
or
x + 3y = -12 (Standard form).
Step-by-step explanation:
The slope of the line = (-3 - (-2)) / (-3 - (-6))
= -1 / 3.
Using the point-slope form of straight line:
y - y1 = m(x - x1) we have:
y - (-2) = -1/3(x - -6))
y + 2 = -1/3(x + 6
y + 2 = -1/3x - 2
y = -1/3x - 4
In standard form (multiplying thru by 3):
3y = -x - 12
x + 3y = -12.
