Answer:
In the first step, there is an issue when distributing the -3 to the terms inside of the parentheses. When multiplying the -3 to the -5, you would get an answer of +15, not -15.
The full correct process is:
(4m + 9) - 3(2m - 5) = 4m + 9 - 6m + 15
= 4m - 6m + 9 + 15
= -2m + 24
Since you subtract 6 and you have to find the sixth term, you can do:
-6×5=-30 ( negative shows you're subtracting and since 75 is the first term, then you have to find the difference of the input/term 6-1, the sixth term minus the first)
75-30=45
You can check by actually continuing the pattern.
75,69,63,57,51,45,39......
Answer:
Step-by-step explanation:
5x + 13y = 232
12x + 7y = 218
For each choice:
a) The first equation can be multiplied by –13 and the second equation by 7 to eliminate y. So we have
- 65x - 169y = - 3016
84x + 49y = 1526
Can not eliminate x and y.
b) The first equation can be multiplied by 7 and the second equation by 13 to eliminate y. So we have
35x + 91 y = 1624
156x + 91y = 2834
Can not eliminate x and y if we ADD.
<em>(If we subtract, this is Yes)</em>
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c) The first equation can be multiplied by –12 and the second equation by 5 to eliminate x.
-60x - 156y = - 2784
60x + 35y = 1090
The answer is YES
d) The first equation can be multiplied by 5 and the second equation by 12 to eliminate x.
25x + 65y = 1160
144x + 84y = 2616
Can not eliminate x and y
The final answer is C
2 1/4 is already simplified but to make it into a mixed number the answer is 9/4
The common ratio is the current number divided by the previous. So the ratio is 1/2
The sequence is 12, 6, 3, 3/2, 3/4 ...
You can obtain any number multiplying the previous number times 1/2.
6 = 12 *(1/2)
3 = 6*(1/2)
3/2 = 3*(1/2)
