Part A) First, you need to find out how much she makes each hour.40/5 = 8 & 48/6 = 8 ... This shows that she makes $8 an hour
To find the first missing number, you will do 8 * 8 = 64 ... This shows that she makes $64 in 8 hours.
To find the second missing number, you will do 56/8 = 7 ... This shows that she makes $56 in 7 hours.
Part B) Barb makes $9 every hour. To find the amount of money she earns for 5, 6, and 8 hours of work you will need to multiply $9 by the amount of hours she worked.
9 * 5 = 45 ... This shows that she makes $45 in 5 hours.
9 * 6 = 54 ... This shows that she makes $54 in 6 hours.
9 * 8 = 72 ... This shows that she makes $72 in 8 hours.
Part C) In part B, you found out how much she makes after working at the theme park for 5 hours. ($45 in 5 hours)
Next, you'll need to find out how much she makes after mowing lawns for 5 hours.
5*8 = $40 ... This shows that she makes $40 in 8 hours
Now you need to the difference. 45 - 40 = 5 ... She makes 5 more dollars working at the theme park for 5 hours than mowing lawns for 5 hours.
Answer:
There is no point of the form (-1, y) on the curve where the tangent is horizontal
Step-by-step explanation:
Notice that when x = - 1. then dy/dx becomes:
dy/dx= (y+2) / (2y+1)
therefore, to request that the tangent is horizontal we ask for the y values that make dy/dx equal to ZERO:
0 = ( y + 2) / (2 y + 1)
And we obtain y = -2 as the answer.
But if we try the point (-1, -2) in the original equation, we find that it DOESN'T belong to the curve because it doesn't satisfy the equation as shown below:
(-1)^2 + (-2)^2 - (-1)*(-2) - 5 = 1 + 4 + 2 - 5 = 2 (instead of zero)
Then, we conclude that there is no horizontal tangent to the curve for x = -1.
X= -2
look at the 6x-12 you divide -12 by 6 and get x=-2
1.BE = 2x + 6
ED = 5x - 12
2. To get the entire side of BD, we must add both half's which equals to the entire length.
3. 2x + 6 + 5x - 12
4.Add like terms.
2x + 5x = 7x
-12 + 6 = -6
5. So, we have 7x - 6
=7x - 6
Blinding is part of this, as the participants do not know whether they received the competitor's product.
