X+7y=0 (a)
2x-8y=22 (b)
1st write te 2 equation in terms of x
(a) x+7y=0 , then x= -7y
(b) 2x-8y=22 → 2x = 22 + 8y and x = 22/2 +8y/2 OR x = 11 + 4y
x = 11+4y and x = -7y Then 11 + 4y = -7y
Now we can extract the value of y:
11+4y = -7y
1st Add +7y to each side →11+4y+7y = -7y + 7y
11+ 11y = 0 . Now subtract 11 from both sides :→11+11y -11 = 0-11
11y = -11 and y = - 1
To find the value of x, replace the value of y (= - 1) in any of the given equation and you will find x = 7
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The inverse of a function is n(a) = (a+30)/3 option (A) is correct by using the concept of the inverse of a function.
<h3>What is a function?</h3>
It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a function:
a(n) = 3n - 30
To find make subject n and solve
a(n) + 30 = 3n
Plug n = n(a) and a(n) = a
Thus, the inverse of a function is n(a) = (a+30)/3 option (A) is correct by using the concept of the inverse of a function.
Learn more about the function here:
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1. We assume, that the number 25000 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 25000, so we can write it down as 100%=25000.
4. We know, that x% equals 3700 of the output value, so we can write it down as x%=3700.
5. Now we have two simple equations:
1) 100%=25000
2) x%=3700
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=25000/3700
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for 3700 is what percent of 25000
100%/x%=25000/3700
(100/x)*x=(25000/3700)*x - we multiply both sides of the equation by x
100=6.75675675676*x - we divide both sides of the equation by (6.75675675676) to get x
100/6.75675675676=x
14.8=x
x=14.8
now we have:
3700 is 14.8% of 25000
Its a multiplication because its says times
Answer:
864
Step-by-step explanation:
512÷8=64
108÷8=13.5
64×13.5=864
