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earnstyle [38]
3 years ago
9

HELP PLEASE ASAP

Mathematics
1 answer:
olga2289 [7]3 years ago
5 0

Answer: a) degree and sign

b) end behavior: left side → +∞, right side → -∞

c) x-intercepts: x = -1.3, 0.3, 1.0

<u>Step-by-step explanation:</u>

end behavior can be determined by two things:

1) the degree of the polynomial:

  • if the degree is an even number, then the end behavior will be the same for both the left and right sides.
  • if the degree is an odd number, then the end behavior will be different for both the left and right sides.

2) the sign of the leading coefficient:

  • If the leading coefficient is positive, then the end behavior of the right side goes to positive infinity
  • If the leading coefficient is negative, then the end behavior of the right side goes to negative infinity

W(x) = -5x³ + 7x - 2

Degree: 3 (odd)

Leading Coefficient: negative

So, end behavior is: right side goes to negative infinity, right side goes to positive infinity.


See attachment for x-intercepts. <em>I set the x-axis to represent tenths </em>

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wolverine [178]
We know that
<span>Figures can be proven similar if one, or more, similarity transformations (reflections, translations, rotations, dilations) can be found that map one figure onto another.
In this problem to prove circle 1 and circle 2 are similar, a translation and a scale factor (from a dilation) will be found to map one circle onto another.

</span>we have that
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</span><span> Circle 2 is centered at (6,-2) and has a radius of 15 centimeters
</span>
step 1
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</span>the transformation has the following rule
(x,y)--------> (x+2,y-5)
so
(4,3)------> (4+2,3-5)-----> (6,-2)
so
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<span>The circles are now concentric (they have the same center)
</span>
step 2
A dilation is needed to increase the size of circle 1<span> to coincide with circle 2
</span>
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A translation, followed by a dilation<span> will map one circle onto the other, thus proving that the circles are similar</span>


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