<h3>
Answer: (2, 3)</h3>
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Explanation:
1/4 = 0.25 is the scale factor
Multiply this with each coordinate of the given point
0.25*8 = 2 is the new x coordinate
0.25*12 = 3 is the new y coordinate
So (8,12) moves to (2,3) after applying the dilation
The scale factor k makes 0 < k < 1 true, so the point is closer to the origin after applying the dilation.
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Side note: this trick of multiplying the scale factor by each coordinate only works if the dilation is centered at the origin. For any other center, you'll need to apply a translation first, dilate, then translate back again.
Answer:
D, A, B
Step-by-step explanation:
The sign of the leading coefficient always tells you the end behavior on the right: positive = rises; negative = falls.
The degree of the polynomial tells you how the left- and right-end behaviors compare: even = they are the same; odd = they are opposites.
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A) negative leading coefficient, even degree:
- falls to the left, falls to the right (D)
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B) positive leading coefficient, odd degree:
- falls to the left, rises to the right (A)
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C) negative leading coefficient, odd degree
- rises to the left, falls to the right (B)
Answer:
$16.50
Step-by-step explanation:
15/100*110
15/10*11
3/2*11
33/3
16.50
To answer this question, simply input the values for g and h:
9/ (3) + 2 (6) + 5 = 9/ 3 + 12 + 5
= 9/ 20
Hope this helps!
This is a geometric sequence of the form:
a(n)=(x+3)(-2x)^(n-1) because each term is -2x times the previous term...so
a(8)=(x+3)(-128x^7)
a(8)=-128x^8-384x^7