Answer:
336 blue marbles
Step-by-step explanation:
694= x+3x+3x-90
694=7x-90
784=7x
x=112
3x=336
3x-90=246
<h3>
Answer is 0</h3>
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Explanation:
Logarithms are used to solve exponential equations. Specifically if you have a variable in the exponent, then you use a log to isolate the variable.
If we set the given log expression to x, then we can rewrite it into 8^x = 1. The only value of x that works is x = 0.
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Or put another way,
8^x = 1
8^x = 8^0 ... replace the 1 with 8^0
x = 0 ... the bases are equal (to 8) so the exponents must be equal
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You can use the change of base formula to directly calculate this log

Answer:
(-4,-7)
(4,7)
(-4,-5)
(1,-1)
Step-by-step explanation:
12+8y you have to do like terms and the distributive property of 2(y+1)
Answer:
Solution of the system of equations will be (6, 6).
Step-by-step explanation:
Table for the first equation,

x 0 2 4 6 8
y 3 4 5 6 7
(x, y) (0, 3) (2, 4) (4, 5) (6, 6) (8, 7)
We have got the values of y by substituting the values of x in the given equation for the table.
Similarly, for the other equation,
y = 2x - 6
x 0 2 4 6 8
y -6 -2 2 6 10
(x, y) (0, -6) (2, -2) (4, 2) (6, 6) (8, 10)
By analyzing both the tables we find (6, 6) is a common point in both the tables.
That represents the points of intersection of both the lines.
Therefore, solution of the system of equations will be (6, 6)