Let's use the "elimination by addition/subtraction" method to solve this system for x and y.
<span> -8x=72-16y
4x=-92+16y <= Mult. all 3 terms by 2: 8x = - 184 + 32y
Now combine the following, column by column:
</span><span> -8x= 72-16y
</span>8x = - 184 + 32y
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0 = -112 + 16y. Solving for y, 16y = 112, and y = 7.
Now subst. 7 for y in either of the original equations and calculate x:
<span>4x=-92+16(7) => 4x = -92 + 112 = 20. Then x = 5.
Solution is 5, -7 (or, better written) (5, - 7).</span>
Answer: 1
Step-by-step explanation:
Experimental probability is the actual result you get from an experement.
Theoretical probability is the change that you will get that result.
(for example: flipping a coin, the Theoretical probability is 50/50 but after testing the Experimental probability might be 47/53)
therefore,
1/6 is the Theoretical probability because you are using a six-sided number cube.
for the Theoretical probability and the Experimental probability to be the same, the fraction of the roll must equal 1/6.
1/6 equals 8/48.
therefore, since the numbers 1 and 6 were both rolled 8 times out of 48 they are consistant with the Theoretical probability of 1/6.
6 is not one of the answer choices listed so 1 must be your answer.
The -1 affects the coefficient of the entire term.
Without the -1,
the term has a positive coefficient.
(3a)² = 9a²
However, with the -1,
the term has a negative coefficient.
-(3a)² = -9a²
Answer: Your answer is -2 5/6
Step-by-step explanation:
Just convert the -2/3 to sixths. To do this, you multiply the denominator and numerator by 2 to make it equivalent to -2 1/6's denomenator (6). 2 times -2 is -4 and 3 times -2 is -6. This means -2/3 is equal to -4/6. As a result -2 1/6 - 4/6 is -2 5/6.
