Answer:
Step-by-step explanation:
a= b^c << === >> logb(a) = c
a b c
Convert 45 = 9^√x << === >> log9 (45) = √x
1.7324867604 = √x
3.0 = x squared both sides
I used a log calculator on the internet when a Gaggled log calculators
Answer:
B). Break 48 into 4 groups of 12.
Step-by-step explanation:
Since 48 is divided by 12, you should break 48 into 12 different groups with 4 in each. All the other answer choices do not make sense because you cannot break 4 into 12 groups and get 48, same with 12.
Answer: (x, y) = (2, 3)
This is the system of equations 2x - 3y = -5, 5x - 2y = 4. Multiply the first equation by 2 and the second equation by 3 to get 4x - 6y = -10, 15x - 6y = 12. Now we can use elimination: subtract the equations to get -11x = -22, so x = 2. 2x - 3y = 2(2) - 3y = 4 - 3y = -5, so 3y = 9 and y = 3. The solution is (2, 3).
i hope this helped! :D
Claire is sharing a pizza with two other people. There is one quarter left of the pizza. How much will each person get.
Answers:
So the solution is (x,y) = (4, -1)
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Work Shown:
6x + 7y = 17
6x + 7( y ) = 17
6x + 7( -3x+11 ) = 17 ... replace every copy of y with -3x+11
6x - 21x + 77 = 17
-15x = 17-77
-15x = -60
x = -60/(-15)
x = 4
We'll use this x value to find y
y = -3x+11
y = -3(4)+11 ... replace x with 4
y = -12+11
y = -1
We have x = 4 and y = -1 pair up together to give us the solution (x,y) = (4, -1)
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To check the solution, we plug x = 4 and y = -1 into each equation
Plugging the values into the first equation leads to...
y = -3x+11
-1 = -3(4)+11
-1 = -1
This is effectively already done in the last part of the previous section. But it doesn't hurt to verify like this regardless.
We'll need to verify the second equation as well.
6x + 7y = 17
6(4) + 7(-1) = 17
24 - 7 = 17
17 = 17
We get a true equation, so the solution is confirmed with both equations. Overall, the solution to the system of equations is confirmed. This system is independent and consistent.
