Answer: 3x^4+7x^3+7x^2+11x+4
Step-by-step explanation:
(x^2+3x+4)(3x^2-2x+1)
3x^4-2x^3+x^2+9x^3-6x^2+3x+12x^2-8x+4
Collect like terms
3x^4-2x^3+9x^3+x^2-6x^2+12x^2+3x+8x+4
3x^4+7x^3+7x^2+11x+4
Answer:
Step-by-step explanation:
1.
all the lines with slope 2 are parallel with each-other
all the lines with slope 1/3 are parallel with each-other
2.
all lines have positive slope so they go upward from left to right
3.
slope 2 is steeper then slope 1/3
4.
the distance between the parallel lines with slope (1/3) is greater for the lines with the slope 2
511 divided by 7 is the unit rate. So a is how you get it but d is the answer
There are

ways of pairing up any 2 members from the pool of
contestants. Note that

so that

Answer:
or
, since
Step-by-step explanation:
According to the question the weight is rejected if it is more than 0.36 oz, the weight should not be beyond 0.36 oz that is from the target weight of 18.25.
We can say that, the difference between the actual weight and the target weight is greater than 0.36 oz.
Lets say the actual weight is 'x'. So,

But there can be times when the actual weight 'x' could be less than 0.36, So the order will be changed:

The absolute value will sum up these two into a single inequality:

Simplifying the inequalities, we get:

(we have added 18.25 on both sides)

Subtracting 18.25 from both the sides we get:

After sign change it is:

So we can see that only
or
since
is the one that represents the scenario given above.