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PtichkaEL [24]
3 years ago
8

Why do you subtract exponents when dividing powers with the same base

Mathematics
1 answer:
user100 [1]3 years ago
5 0
Well you see, when you have to bases and powers and u don't subtract the exponents the reciprocal wouldn't be the same as the exponents.



 
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Solve using substitution. x + 3y = -13 <br><br><br> 5x + 7y = -9
Zarrin [17]
X+3y=-13
x=-3y-13
5(-3y-13) +7y = -9 
-15y -65 +7y = -9 
-8y-65=-9
             65 -
             -----
             -74
              /-8
             ------
  y=       9.25

x+3(9.25) = -13
x+27.75= -13
             27.75-
             -------
x=        -40.75

6 0
3 years ago
Read 2 more answers
Write a linear equality that represents the graph.
SVEN [57.7K]
Y-intercept: -5
slope: 6/2 = 3

equation of line: y = 3x - 5

inequality: y > 3x - 5
4 0
3 years ago
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Alex and bob are playing 5 chess games. Alex is 3 times more likely to win than bob. What is the probability that both of them w
givi [52]

Answer:

12.2%

Step-by-step explanation:

Lets firstly find out the probabilities for Alex and Bob. We know that the prb that Alex wins is 3 times the prob for Bob, so:

P(A) = 3P(B)

And, as these values are probabilities they must sum 1:

P(A) + P(B) = 1

Replacing the first equation in the second:

3P(B) + P(B) = 1

4P(B) = 1

Dividing both sided by 4:

4P(B)/4 = 1/4

P(B) =1/4

So, the probability for Bob is 1/4. Then the probability for Alex is 3*1/4 = 3/4

Now we have to find the probability that both win at least two games. Lets think about the possible combination of cases. As they play 5 games and both have to win at least to there is a remaining game that cane variate, this is, can be won by Alex or Bob. So, we can have:

AABBB

AABBA

Where A is "Alex win" and B is "Bob win" (here we do not pay attention to the order).

Thus, we have to find the probability that Alex wins 3 games and Bob 2 games, and the probability that Alex wins 2 games and Bob 3 games. As the games are independent, i.e., the result of one games does not affect the followings we can just multiply the probabilities:

P(3A and 2B) = (3/4)*(3/4)*(3/4)*(1/4)*(1/4) = 0.42*0.06 = 0.026

P(2A and 3B) = (3/4)*(3/4)*(1/4)*(1/4)*(1/4) = 0.56*0.016 = 0.096

So,

P (at least 2) = P(3A and 2B) + P(2A and 3B) = 0.026 + 0.096 = 0.122 = 12.2%

7 0
3 years ago
Solve the system by substitution. 4x+3y=5x=4y+6Options: A. The solution is ____B. There are infinitely many solutions. C. There
zvonat [6]

So we have the following system of equations:

\begin{gathered} 4x+3y=5 \\ x=4y+6 \end{gathered}

We need to solve it by substitution. This means that we have to take the expression for x given by the second equation and replace x with it in the first equation:

\begin{gathered} 4x+3y=5 \\ 4\cdot(4y+6)+3y=5 \\ 16y+24+3y=5 \\ 16y+3y=5-24 \\ 19y=-19 \\ y=-\frac{19}{19}=-1 \end{gathered}

So y=-1. If we use this value in the second equation:

\begin{gathered} x=4y+6 \\ x=4\cdot(-1)+6 \\ x=-4+6 \\ x=2 \end{gathered}

So we have x=2 and y=-1 which means that there's one solution. Then the correct answer is A and the solution is (2,-1).

5 0
1 year ago
Anyone want free brainliest???
otez555 [7]

Answer:

Yes please and thanks for the points!

Step-by-step explanation:

have a great day!

4 0
3 years ago
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