4x(3x²+5y) expand by distributing terms
4x*3x²+4x*5y take out the constants
(4*3)xx²+4x*5y simplify 4*3 to 12
12xx²+4x*5y use product rule=xᵃxᵇ=xᵃ+ᵇ, and change the two variables (the x's) into ones, because if there is just one variable with no number by it, then it is a one.
12x¹⁺²+4x*5y and simplify 1+2 to 3.
12x³+4x*5y finally simplify 4x*5y to 20xy
12x³+20xy
Hope this helps, now you know the answer and how to do it. Stay healthy and safe and HAVE A BLESSED AND WONDERFUL DAY! :-)
- Cutiepatutie ☺❀❤
Answer:
x < -17
Step-by-step explanation:
-3-7x - 41 - 7>68
Combine like terms
-7x-51>68
Add 51 to each side
-7x-51+51>68+51
-7x > 119
Divide each side by -7, remembering to flip the inequality
-7x/-7 < 119/-7
x < -17
Answer:
And we can find the individual probabilities:
And replacing we got:
Step-by-step explanation:
Previous concepts
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
Solution to the problem
Let X the random variable of interest, on this case we now that:
The probability associated to a failure would be p =1-0.09 = 0.91
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
And we want to find this probability:
And we can find the individual probabilities:
And replacing we got:
There's really no way to write this equation as a word problem .
Since the sales tax is 6%, the object will cost 1.06 (100% + 6%) times the original value.
1.06 × $95.00 = $100.70
The object will cost $100.70.
Let me know if you need any clarifications, thanks!