<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.
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:
-1
Step-by-step explanation:
First, we need to work out the left-hand side.
- find g(2) → g(2) = 2 - 1 which is 1
- next, find f(1) → f(1) = 1³ which is 1
Now, we can work out the right hand side.
- find f(-1) → f(-1) = -1³ which is -1
- then, find g(-1) → g(-1) = -1 - 1 = -2
Finally we can work out the full sum: 1 + -2 = -1.
Hope this helps!
Answer:
48x² + 24x + 3
Step-by-step explanation:
Width = (4x + 1) in
Length = 3 *width = 3*(4x + 1) = 3*4x + 3*1
= (12x + 3) in
Area of rectangle = length * width
= (12x + 3) (4x + 1)
= 12x *4x + 12x *1 + 3*4x + 3*1
= 48x² + 12x + 12x + 3
= 48x² + 24x + 3
<span><span>4−3</span>−<span><span>(2)</span><span>(<span>−6</span>)</span></span></span><span>=<span>1−<span><span>(2)</span><span>(<span>−6</span>)</span></span></span></span><span>=<span>1−<span>(<span>−12</span>)</span></span></span><span>=<span>13</span></span>
