Yes because $18 divided by 3 bracelets makes the price per bracelet $6. $30 divided by 5 bracelets makes the price per bracelet $6. The cost per bracelet is the same so the cost to bracelet ratio is the same and both are a $6 to 1 bracelet ratio
7 2/6 + 8 5/6
= (7 x 6 + 2)/6 + (8 x 6 + 5)/6
= (42 + 2)/6 + (48 + 5)/6
= 44/6 + 53/6
= (44 + 53)/6
= 97/6
= 16 1/6
First, isolate y:
2x - 3y = 6
-3y = -2x + 6
3y = 2x - 6
y = 2/3x - 2
That means that the line passes through the point (0, -2) and has a positive slope of 2/3. So it would be choice A because the line in choice A passes through the point (1, -2) and has a positive slope. Choice D also passes through the point (0, -2) but has a negative slope so it cannot be the correct answer.
Choice A is correct.
Answer:
• x = -4, x = 0, x = 1
Step-by-step explanation:
x is a factor of all terms, so x=0 is a zero. (Eliminates choices 1 and 5.)
The sum of coefficients is 0, so x=1 is a zero. (Eliminates choices 3 and 4.)
Reversing the sign of the odd-degree terms gives signs of -++, so there is one sign change, hence one negative real root (by Descartes' rule of signs). This confirms choice 2 as the answer.
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Of course, your graphing calculator can answer this almost as quickly.