Answer: 4th graph
Explanation:
3x _> 3
x _> 3/3
x _> 1
9x > 54
x > 6
We can write x like this:
1 <_ x < 6
Meaning that x is bigger or equal to 1 but less than 6
Answer:
m = 6
Step-by-step explanation:
The solution is 
<em><u>Solution:</u></em>
Let us assume,
<em><u>Given system of equations are:</u></em>
<em><u>Rewrite the equation using "a" and "b"</u></em>
2a - 3b = -5 ------------ eqn 1
4a + 6b = 14 -------------- eqn 2
<em><u>Let us solve eqn 1 and eqn 2</u></em>
<em><u>Multiply eqn 1 by 2</u></em>
2(2a - 3b = -5)
4a - 6b = -10 ------------- eqn 3
<em><u>Add eqn 2 and eqn 3</u></em>
4a + 6b = 14
4a - 6b = -10
( - ) --------------------
8a = 4
Substitute a = 1/2 in eqn 1
Now let us go back to our assumed values
Substitute a = 1/2 in assumed values
Substitute b = 2 in assumed value
Thus the solution is
Answer:
a) Profit = 84000
b) at break even number of pens sold = 46
Step-by-step explanation:
Profit = Selling price - Cost price
Total revenue generated = 99 * 1000
Total revenue generated = 99000
Total cost on making the pen = 11 * 1000
Total cost on making the pen = 11000
Total cost including the initial cost = 11000 + 4000
Total cost including the initial cost = 15000
Profit = 99000 - 15000
Profit = 84000
Break even is when the cost are equal to Revenue thus no profit or loss
Revenue = total cost (break even)
9x = 1x + 4000
9x - x = 4000
8x = 4000
x = 500
At breakeven Revenue = 9 * 500
At breakeven Revenue = 4500
since one pen is sold at 99 therefore at break even number of pens sold = 4500/99 = 45.45( to 2 decimal place)
at break even number of pens sold = 46
Answer:
Angle 2: 110 degrees, 1 and 2 would have to be the same for the lines to be parallel
Angle 3: 70 degrees angle 3 would have to be the complement to angle 1, so 1+3=180 and 70*3=180, so 3=70 degrees
Angle 4: 70 degrees, 3 and 4 have to be the same opposite angles for the lines to be parallel
