Answer:
a:b = 2
Step-by-step explanation:
Here we need to operate with terms in order to arrive to a ratio a:b (or a/b).
We have:
2a−b/6 = b/3
Lets sum b/6 in both sides:
2a−b/6 + b/6 = b/3 + b/6
2a = b/3 + b/6
Now, we can multiply and divide b/3 by 2 to make a 6 appear on the denominator and sum it with b/6, this is, use common denominator:
2a = b/3*(2/2) + b/6
2a = 2b/6 + b/6
2a = 3b/6
2a = b/2, as 3/6 = 1/2
Now lets divide both sides by b to make an a/b appear:
2a/b = (b/2)/b
2a/b = 1/2
Finally, multiply both sides by (1/2) or divide by 2:
(2a/b)/2 = 2
a/b = 2
This is, a is twice as b. If b is 1 so a is 2; if b is 45 so a is 90, and so on.
F^1(x)=2x-16 To find the interverse interchange the variable and solve for y
Answer:
Please see attached graph.
Step-by-step explanation:
The equations for straight lines are given as:
i) y = x +4
ii) y= x-4
Yon can form a table for values of x and y that are true for an equation and use these values as coordinates ( x,y ) to plot the graphs and view the lines to select the correct labels for the equations.
For i)
y= x+4
x y coordinates
-3 1 (-3,1 )
-2 2 (-2,2)
-1 3 (-1,3)
0 4 ( 0,4)
1 5 ( 1,5)
2 6 ( 2,6)
3 7 ( 3,7)
Plot the points on a graph tool and draw the line. Do the same for the second equation to view both graphs as shown in the attached graph.
Answer:
no
Step-by-step explanation:
Answer:
answer is 0.001254.
Step-by-step explanation:
Given that you invested in 3 stocks of Engineering Aces, Upton Clothiers, and Thompson Musical Instruments.
Also given that each stock value is independent of the other.
Let E be the event changing in value by more than 10% in a given week for Engineering Aces,
U be the event changing in value by more than 10% in a given week for Upton Clothiers, and T be the event changing in value by more than 10% in a given week for Thompson Musical Instruments.
Given that P(E) = = 19%
P(U) = 11%
P(T) = 6%
probability that all three will change by more than 10% in the same week
= P(EUT)
= P(E) P(U) P(T) since three events are independent.
=0.19(0.11)0.06
= 0.001254
