Answers may vary here are all the possible answers:
(R) = red
(G)= green
12 (R) 1 (G)
11 (R) 2 (G)
10 (R) 3 (G)
9 (R) 4 (G)
8 (R) 5 (G)
7 (R) 6 (G)
Answer:
144
Step-by-step explanation:
120 x 1.20 = 144
.20 is 20% and adding the 1 adds it to the original value
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![2 {x}^{3} + 2 {x}^{2} - 40x =](https://tex.z-dn.net/?f=2%20%7Bx%7D%5E%7B3%7D%20%20%2B%202%20%7Bx%7D%5E%7B2%7D%20%20-%2040x%20%3D%20)
![2x( {x}^{2} + x - 20) =](https://tex.z-dn.net/?f=2x%28%20%7Bx%7D%5E%7B2%7D%20%20%2B%20x%20-%2020%29%20%3D%20)
![2x(x - 4)(x + 5)](https://tex.z-dn.net/?f=2x%28x%20%20-%204%29%28x%20%2B%205%29)
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The correct answer is (( a )) .
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Answer:
The vertex (h,k) is (-4,-7).
Step-by-step explanation:
I assume you are looking for the vertex
.
The vertex form of a quadratic is
where the vertex is (h,k) and a tells us if the parabola is open down (if a<0) or up (if a>0). a also tells us if it is stretched or compressed.
Anyways if you compare
to
, you should see that
.
So the vertex (h,k) is (-4,-7).
Answer:
Parallel: y=-4x-1
Perpendicular: y=-4x+13/2
Step-by-step explanation:
For the equation y=-4x-41, the slope is -4. Writing a line related to this equation has two options:
- If the line will be parallel to it then this is the slope of the new line as well. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form.
(y-7)=-4(x--2)
y-7=-4x-8
y=-4x-1
- If the line will be perpendicular to it then the slope is the negative reciprocal of the previous slope. It is 1/4.
(y-7)=1/4(x--2)
y-7=1/4x-1/2
y=-4x+13/2