Answer: For both 3x+1 and 7x-1 is There are no like terms.
I don’t know if you want me to solve because I did “Answer: There are no like terms.” or how you want it because the picture you show it confusing
Step-by-step explanation: Hope this help :D
-18 + 10 = -8
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a. The first part asks for how many ways they can be seated together in a row. Therefore we want the permutations of the set of 6 people, or 6 factorial,
6! = 6 5
= 30 4
= 360 2 = 720 possible ways to order 6 people in a row
b. There are two cases to consider here. If the doctor were to sit in the left - most seat, or the right - most seat. In either case there would be 5 people remaining, and hence 5! possible ways to arrange themselves.
5! = 5 4
= 20 3
= 120 1 = 120 possible ways to arrange themselves if the doctor were to sit in either the left - most or right - most seat.
In either case there are 120 ways, so 120 + 120 = Total of 240 arrangements among the 6 people if the doctor sits in the aisle seat ( leftmost or rightmost seat )
c. With each husband on the left, there are 3 people left, all women, that we have to consider here.
3! = 3 2 6 ways to arrange 3 couples in a row, the husband always to the left
Answer:
(-3, 3)
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define systems</u>
-5x - y = 12
y = -4x - 9
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em>: -5x - (-4x - 9) = 12
- Distribute negative: -5x + 4x + 9 = 12
- Combine like terms: -x + 9 = 12
- Subtract 9 on both sides: -x = 3
- Divide -1 on both sides: x = -3
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define original equation: y = -4x - 9
- Substitute in <em>x</em>: y = -4(-3) - 9
- Multiply: y = 12 - 9
- Subtract: y = 3
For a better understanding of the answer please find the diagram in the attachment.
As can be clearly seen from the diagram that the distance, "d" (shown in dark blue) of 100 feet which is covered on the sloped/inclined road is actually making an angle of only 30 degrees with the force of 200 pounds which is being applied on the road. That angle of 30 degrees is what matters.
So, the force, F=200 pounds
distance, d=100 feet
And the angle between the force, F and the distance, d is:
Therefore, as per formula, the work, W, done will be:
This, when applied to the question we have will give us: