If U = {a, b, c, d, e, f, g, h}, A= {a, b, c, d, e) and B= {c, d, e, f, g), find A-B and A nB.
Assoli18 [71]
<em>here</em><em>,</em>
U = {a, b, c, d, e, f, g, h}, A= {a, b, c, d, e) and B= {c, d, e, f, g),
now,
A-B = {a,b}
A n B = { c,d,e}
If you have paid back 150 a month you multiply by 10 then you subtract $6900, your remaining balance is $5,400. Good luck with your equation.
Y=mx+b is the equation we must fill out, with x and y being their respective coordinates, m being the slope, and b being the y-intercept. The y intercept will be at (0, y), and the beginning of this problem already gives us the y-intercept: -4.
We now know y=mx-4. To find the slope, m, we’ll plug in one of the coordinates: (5, 1). The new equation is 1=m(5)-4. Solve this to get 5=m(5), and then m=1.
Now that we know the slope and y-intercept, we can conclude that the equation is y=x-4.
Answer:
see explanation
Step-by-step explanation:
(a)
Given y is directly proportional to x then the equation relating them is
y = kx ← k is the constant of proportion
To find k use the condition when x = 3, y = 18 , then
18 = 3k ( divide both sides by 3 )
6 = k
y = 6x ← equation of proportion
(b)
(i)
when x = 12 , then
y = 6 × 12 = 72
(ii)
when y = 42
42 = 6x ( divide both sides by 6 )
7 = x
<em>x = - 9</em>
- Step-by-step explanation:
<em>6x + 10 = 4x - 8</em>
<em>6x - 4x = - 10 - 8</em>
<em>2x = - 18</em>
<em>x = - 18 : 2</em>
<em>x = - 9</em>