Answer:
This equation x+y=1 is Linear.
Step-by-step explanation:
Original equation: x+y=1.
New equation in slope intercept form: y=- x+1.
x+y=1 is in standard form. You need to change standard form into slope form y=mx+b.
To start off you subtract the slope x(slope) from the left to the right.
The answer is 24 because if you multiply the whole number by the denominator of the fraction, you get your answer. Also, 8 one eighths is equal to one, so 3 of them is 24.
Hope this helps;)
<h3>Answer: Choice D) 560x^8y^15</h3>
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Explanation:
We dont involve sigma notation since we want just one term and we aren't adding up a bunch of things. It's really curious why your teacher is using sigma notation as it is incorrect. Everything else is fine.
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n = 7 is the outer most exponent of the binomial.
We have the terms for k = 0, k = 1, ... which means the 4th term is when k = 3.
n C k = (n!)/(k!*(n-k)!)
7 C 3 = (7!)/(3!*(7-3)!)
7 C 3 = (7!)/(3!4!)
So that explains the coefficient of (7!)/(3!4!). This is known as a binomial coefficient. Some books call the n C k function the "choose" function. Though other books call it a combination function. They're the same thing. Let's keep going to fully compute the binomial coefficient.
7 C 3 = (7!)/(3!4!)
7 C 3 = (7*6*5*4*3*2*1)/(3*2*1*4*3*2*1)
7 C 3 = (5040)/(6*24)
7 C 3 = (5040)/(144)
7 C 3 = 35
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a = 2x^2y^3
b = y
The kth term is in the form
(n C k)*(a)^(n-k)*(b)^k
Plug in the given values and simplify
(7 C 3)*(a)^(7-3)*(b)^3
35*(a)^4*(b)^3
35*(2x^2y^3)^4*(y)^3
35*16*(x^8y^12)*(y)^3
560*x^8y^12*y^3
560*x^8y^(12+3)
560x^8y^15
The minimum monthly income will be $6165 and the hourly wage to cover the expenses will be $8.5625.
<h3>How to calculate the income?</h3>
From the information given, the minimum monthly income will be $6165 since that's needed to cover the expense.
Also, the hourly income will be:
= 6165/(24 × 30)
= 6165/720
= 8.5625
The hourly income will be $8.5625.
Learn more about income on:
brainly.com/question/25745683
Divide 1/2 into 3
it's 1/2÷3=1/2x1/3=1/6