I don’t understand that’s not a question?
If -15 is equal to -0.2x, then 15/0.2=75
x=75
Answer:
A. y - 7 = -4(x + 2)
Step-by-step explanation:
Insert the coordinates into the formula with their CORRECT signs. Remember, in the Point-Slope Formula, <em>y</em><em> </em><em>-</em><em> </em><em>y</em><em>₁</em><em> </em><em>=</em><em> </em><em>m</em><em>(</em><em>x</em><em> </em><em>-</em><em> </em><em>x</em><em>₁</em><em>)</em><em>,</em><em> </em>all the negative symbols give the OPPOSITE term of what they really are.
For this case we must solve the following questions:
Question 1:
We should simplify the following expression:
![\frac {\frac {m ^ 2 * n ^ 3} {p ^ 3}} {\frac {mp} {n ^ 2}} =](https://tex.z-dn.net/?f=%5Cfrac%20%7B%5Cfrac%20%7Bm%20%5E%202%20%2A%20n%20%5E%203%7D%20%7Bp%20%5E%203%7D%7D%20%7B%5Cfrac%20%7Bmp%7D%20%7Bn%20%5E%202%7D%7D%20%3D)
Applying double C we have:
![\frac {m ^ 2 * n ^ 3 * n ^ 2} {mp * p ^ 3} =](https://tex.z-dn.net/?f=%5Cfrac%20%7Bm%20%5E%202%20%2A%20n%20%5E%203%20%2A%20n%20%5E%202%7D%20%7Bmp%20%2A%20p%20%5E%203%7D%20%3D)
By definition of multiplication of powers of the same base we have to place the same base and add the exponents:![\frac {m ^ 2 * n ^ 5} {m * p ^ 4} =](https://tex.z-dn.net/?f=%5Cfrac%20%7Bm%20%5E%202%20%2A%20n%20%5E%205%7D%20%7Bm%20%2A%20p%20%5E%204%7D%20%3D)
Canceling common terms:
![\frac {mn ^ 5} {p ^ 4}](https://tex.z-dn.net/?f=%5Cfrac%20%7Bmn%20%5E%205%7D%20%7Bp%20%5E%204%7D)
Answer:
Option A
Question 2:
We should simplify the following expression:
![\frac {3xyz ^ 2} {6y ^ 4} * \frac {2y} {xz ^ 4}](https://tex.z-dn.net/?f=%5Cfrac%20%7B3xyz%20%5E%202%7D%20%7B6y%20%5E%204%7D%20%2A%20%5Cfrac%20%7B2y%7D%20%7Bxz%20%5E%204%7D)
So, we have:
![\frac {3xyz ^ 2 * 2y} {6y ^ 4 * xz ^ 4} =\\\frac {6xy ^ 2z ^ 2} {6y ^ 4xz ^ 4} =](https://tex.z-dn.net/?f=%5Cfrac%20%7B3xyz%20%5E%202%20%2A%202y%7D%20%7B6y%20%5E%204%20%2A%20xz%20%5E%204%7D%20%3D%5C%5C%5Cfrac%20%7B6xy%20%5E%202z%20%5E%202%7D%20%7B6y%20%5E%204xz%20%5E%204%7D%20%3D)
Simplifying common terms:
![\frac {1} {y ^ 2z ^ 2}](https://tex.z-dn.net/?f=%5Cfrac%20%7B1%7D%20%7By%20%5E%202z%20%5E%202%7D)
Answer:
Option D
Question 3:
We factor the following expressions to rewrite the experience:
<em>
: </em>We look for two numbers that multiplied give 10 and added 7:
![(r + 5) (r + 2)](https://tex.z-dn.net/?f=%28r%20%2B%205%29%20%28r%20%2B%202%29)
<em>
</em> We look for two numbers that multiplied give -50 and added -5:
![(r-10) (r + 5)](https://tex.z-dn.net/?f=%28r-10%29%20%28r%20%2B%205%29)
<em>
</em>
Rewriting the given expression we have:
![\frac {(r + 5) (r + 2) * 3 (r-10)} {3 (r-10) (r + 5)} =](https://tex.z-dn.net/?f=%5Cfrac%20%7B%28r%20%2B%205%29%20%28r%20%2B%202%29%20%2A%203%20%28r-10%29%7D%20%7B3%20%28r-10%29%20%28r%20%2B%205%29%7D%20%3D)
We simplify common terms in the numerator and denominator we have:
![(r + 2)](https://tex.z-dn.net/?f=%28r%20%2B%202%29)
Answer:
Option D
The problem is asking how much each person will need to pay. Simplifying the problem into an equation with variables (an algorithm) will greatly help you solve it:
S = Sales Tax = $ 7.18 per any purchase
A = Admission Ticket = $ 22.50 entry price for one person (no tax applied)
F = Food = $ 35.50 purchases for two people
We know the cost for one person was: (22.50) + [(35.50/2) + 7.18] =
$ 47.43 per person. Now we can check each method and see which one is the correct algorithm:
Method A)
[2A + (F + 2S)] / 2 = [ (2)(22.50) + [35.50 + (2)(7.18)] ]/ 2 = $47.43
Method A is the correct answer
Method B)
[(2A + (1/2)F + 2S) /2 = [(2)(22.50) + 35.50(1/2) + (2)7.18] / 2 = $38.55
Wrong answer. This method is incorrect because the tax for both tickets bought are not being used in the equation.
Method C)
[(A + F) / 2 ]+ S = [(22.50 + 35.50) / 2 ] + 7.18 = $35.93
Wrong answer. Incorrect Method. The food cost is being reduced to the cost of one person but admission price is set for two people.