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Naddika [18.5K]
3 years ago
9

What is |18x + 9| + 1 > 64 put into an interval notation and on a graph?

Mathematics
1 answer:
Gnoma [55]3 years ago
4 0

\bf |18x+9| + 1 > 64\implies \pm(18x+9)+1>64 \\\\[-0.35em] ~\dotfill\\\\ +(18x+9)+1>64\implies 18x+10>64\implies 18x > 54 \\\\\\ x >\cfrac{54}{18}\implies \boxed{x > 3} \\\\[-0.35em] ~\dotfill\\\\ -(18x+9)+1>64\implies -18x-9+1>64\implies -18x-8>64 \\\\\\ -8>64+18x\implies -72 > 18x\implies \cfrac{-72}{18}=x\implies \boxed{-4>x}

Check the picture below.

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Find coordinates of the image of the point A(3,9) for a dilation with the scale factor of 2/3
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Answer:

The coordinates of the image of point A(3,9) for dilation with the scale factor of 2/3 will be: A'(2, 6)

Step-by-step explanation:

Given the point A with the vertices (3, 9) i.e. A(3,9)

As we know that If the scale factor is between 0 and 1, the image gets shrunk.

In order to dilation with a scale factor of 2/3, just multiply the x and y coordinates of the original point (3, 9) by 2/3.

i.e.

(x, y) → (2/3 x, 2/3 y)

so, the coordinates of the image of point A(3,9) for dilation with the scale factor of 2/3 will be:

A (x, y) → (2/3 x, 2/3 y) = A (2/3 (3), 2/3 (9)) = A'(2, 6)

Therefore, the coordinates of the image of point A(3,9) for dilation with the scale factor of 2/3 will be: A'(2, 6)

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2 years ago
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Answer:

True

Step-by-step explanation:

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3+1 1/9=4 1/9

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3 years ago
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3 years ago
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asambeis [7]

Answer:

x = 62.3 degrees.

Step-by-step explanation:

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3 years ago
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