The answer is the second option.
To find the answer quickly, fist look at the signs associated with the terms. The is a negative sign with the B and C in the original equation, and the second option is the only one that follows that.
You use 6 as the C since that is a shared value when multiplying 2 and 3, so 1/2 becomes 2 and 1/3 becomes 3.
Answer:
the answer is x ≤ 2
Step-by-step explanation:
very easy
Answer:
x ≤ 63
Step-by-step explanation:
x/3-10 ≤ 11
Opposite of -10 is addition, 10+11= 21
Opposite of x/3 is multiplication 3, 21*3= 63
Point-slope form: y - 1= 0.5(x + 7)
Slope-intercept form: y = 0.5x + 4.5
Answer:
15. y -13 = -2(x +7)
16. y -6 = (-3/4)(x +4)
17. y +11 = 4(x +5)
18. y -8 = (-5/3)(x +6)
Step-by-step explanation:
It looks to me like you have the right idea in each case, but have made mistakes with signs or parentheses. Neatness and attention to detail count for a lot.
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You obviously know that the point-slope form of the equation of a line with slope m through point (h, k) is ...
y -k = m(x -h)
In problems 15 and 16, the given slopes are negative. Your equations seem to have missed that fact.
15. m = -2, (h, k) = (-7, 13). y -13 = -2(x +7)
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16. m = -3/4, (h, k) = (-4, 6). y -6 = (-3/4)(x +4)
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It is clear you know that slope is computed as ...
m = (y2 -y1)/(x2 -x1)
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17. m = (1 -(-11))/(-2-(-5)) = 12/3 = 4; (h, k) = (-5, -11). y +11 = 4(x +5)
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18. m = (-7-8)/(3-(-6)) = -15/9 = -5/3; (h, k) = (-6, 8). y -8 = (-5/3)(x +6)
