Hi :)
(-5xy²)·(-4x²y) = (-5)·(-4)·x·x²·y·y² = 20x³·y³
Answer : The coefficient is 20
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Answer:
![x = - 14](https://tex.z-dn.net/?f=x%20%3D%20%20-%2014)
Step-by-step explanation:
![4( x + 2) = 3(x - 2) \\ 4x + 8 = 3x - 6 \\ 4x - 3x + 8 = 3x - 3x - 6 \\ x + 8 = - 6 \\ x + 8 - 8 = - 6 - 8 \\ x = - 14](https://tex.z-dn.net/?f=4%28%20x%20%2B%202%29%20%3D%203%28x%20-%202%29%20%5C%5C%204x%20%2B%208%20%3D%203x%20-%206%20%5C%5C%204x%20-%203x%20%2B%208%20%3D%203x%20-%203x%20-%206%20%5C%5C%20x%20%2B%208%20%3D%20%20-%206%20%5C%5C%20x%20%2B%208%20-%208%20%3D%20%20-%206%20-%208%20%5C%5C%20x%20%3D%20%20-%2014)
Answer:
infinitely many solutions
Step-by-step explanation:
Let's first eliminate y^2.
To accomplish this, divide the 2nd equation by 5, obtaining
y^2 = 5/2 - x^2. Now substitute this result for y in the first equation:
(-1/3)x^2 = -5/6 + (1/3)(5/2 - x^2), or
-x^2 -5 5 x^2
-------- = ------ + ------- - -------- and this simplifies to:
3 6 6 3
-x^2 x^2
------- = - ------- which is an identity and is thus always true.
3 3
Thus, any value of x will satisfy this equation; there are infinitely many solutions.
<h3>
Answer: Choice D</h3>
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Explanation:
The inequality sign has an "or equal to", which means the boundary line will be solid. We can rule out choices B and C because they have dashed boundary lines.
A solid boundary line means that points on the boundary are part of the solution set.
Now let's see what happens when we plug in a point like (x,y) = (4,0). This will tell us how to shade the blue region.
![-5x + 4y \ge -1 \\\\-5(4) + 4(0) \ge -1 \\\\-20 \ge -1 \\\\](https://tex.z-dn.net/?f=-5x%20%2B%204y%20%5Cge%20-1%20%5C%5C%5C%5C-5%284%29%20%2B%204%280%29%20%5Cge%20-1%20%5C%5C%5C%5C-20%20%5Cge%20-1%20%5C%5C%5C%5C)
This is false because -20 is not larger than -1. It's the other way around.
This tells us the point (4,0) is not in the blue shaded region, and it's not on the boundary line either. We can rule out choice A because of this.
The only thing left is choice D, which is the final answer. I recommend plugging a point from this region into the inequality to confirm we have a true statement.
Answer:
Step-by-step explanation:
r+58
Let r=3
3+58
61