Hey there!
In order to solve this problem, you'll look at (x⁴)(3x³ – 2) first. You need to multiply 4x by both numbers in the binomial to get the distributed version that you'll use later on.
(x⁴)(3x³) = 3x⁷
(x⁴)(–2) = –2x⁴
Now, your problem is (3x⁷ – 2x⁴)(4x² <span>+ 5x). You will complete the distributing by multiplying the first term of the first binomial by both terms of the second binomial, then repeating this with the second term. You'll then want to add or subtract any repeated terms to combine them, if applicable. Remember that to multiply exponents together, all you need to do is add the numbers. x is the same as x</span>¹.<span>
</span>(3x⁷)(4x²) = 12x⁹
(3x⁷)(5x) = 15x⁸
(–2x⁴)(4x²) = –8x⁶
(–2x⁴)(5x) = –10x⁵
So, your final expanded product will be (12x⁹ + 15x⁸ – 8x⁶ – 10x⁵). Your answer should be letter A. Hope this helped you out! :-)
Answer:
$18
Step-by-step explanation:
6/10 × $30 = $18
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Answer:
1) , 2) The value of is 3, 3) The perimeter and the area of the rectangule are 18 feet and 18 square feet, respectively.
Step-by-step explanation:
Let be a rectangle with a length of feet and a width of 3 feet. The area (), measured in square feet, and perimeter (), measured in feet, formulas are, respectively:
(Eq. 1)
(Eq. 2)
1) Now, we assume that , then we reduce the system of linear equation into a sole linear equation:
(Eq. 3)
2) We proceed to solve for :
The value of is 3.
3) Lastly, we obtain the values of the perimeter and area:
The perimeter and the area of the rectangule are 18 feet and 18 square feet, respectively.
3 can be squared twice to get the value of 9. 3x3=9
Answer:
The chance of having a success on day n is 1 minus the chance of not having a success ( assuming it doesn't matter if both have a success or just one has a success). The chance of not having a success on day n is q^2.
Step-by-step explanation:
In order to understand the above answer let us consider the following example:
In a laboratory, two experiments are repeated every day of the week in different rooms until at least one is successful, the probability of success being 30% for each experiment. Supposing that the experiments in different rooms and on different days are performed independently of each other, what is the probability that the laboratory scores its first successful experiment on day 10?
ANSWER:
The first 9 days (18 experiments) have to be unsuccessful to have the first successful one on day 10. Therefore the probability of the first 18 experiments being unsuccessful is 0.7^18 = 0.1628% and the probability of being successful on day 10 is 1-(0.7^2) = 51%. Multiply those two together to get 0.083%.