Answer: After working for 33
hours a week
Step-by-step explanation:
Let us write equations to represent these two places. Let x be hours worked and y be money earned.
Tim Hortons:
$200 + $5x = y
McDonalds:
$300 + $2x = y
Now, to find the conditions of which Tim Hortons is the better employer (on the basis of money earned) we must find the interval that Tim Hortons pays more. This can be found by setting up another equation, or by graphing. I have shown both. <em>See attached for the graph</em>.
$200 + $5x > $300 + $2x
$5x > $100 + $2x
$3x > $100
x > 
x > 33.3334
Tim Hortons is the better employer after an employee has worked for 33
hours a week.
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Answer:
x ≥ 1 (how to graph is listed below)
Step-by-step explanation:
To find where we need to plot the line, we first need to solve the inequality for x:
-2x - 3 ≤ -5
(Add three to both sides)
-2x ≤ -2
(Divide both sides by -2, but we can't forget that whenever we multiple or divide by a negative number, the sign flips!)
x ≥ 1
To graph this on the number line, you would put a dot on the 1 and fill it in completely (you fill in the dot for a "___ and equal to" sign. ex. ≥, ≤)
Then you would make an arrow from the dot to the right on the number line (this is because x must be greater than or equal to 1, so it must be facing in that direction)
Answer:
The number is -1
Step-by-step explanation:
The equation for the first part is (2n+7)2. This is because "twice a number" is 2n and "7 is added" will make it 2n+7. The "sum is multiplied by two" Is multiplying everything by two. This will make it (2n+7)
The second part is -8n+2. Since a number is multiplied by negative eight it will be -8n. Then it is added by two.
Both equation equal each other the overall equation will be (2n+7)2=-8n+2
You will distribute. making it 4n+14=-8n+2
Add 8n to both sides making it 12n+14=2
subtract 14 from both sides making it 12n=-12
Divide both sides by 12 . making it number=-1