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lana66690 [7]
3 years ago
9

Find the greatest maximum y-value of the following equation:

Mathematics
1 answer:
KatRina [158]3 years ago
5 0
A quick way to do this is by recalling the fact that -1\le\cos x\le1, so the largest value that \cos ax alone (for any real value of a) can take on is 1.

This means -3\le3\cos2x\le3, and so 1\le3\cos2x+4\le7.

So the maximum value of this function is 7.
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The first discount on a camera was 18%. The second discount was 20%. After these two discounts the price was $328. What was the
Artyom0805 [142]

Answer:

$500

Step-by-step explanation:

We can find the original price of the camera through a proportion. A proportion is an equation where two ratios or fractions are equal. The ratios or fractions compare like quantities.

<u>Second Discount</u>

20% off means we paid 80%. We know we paid $328 of some price.

\frac{80}{100} =\frac{328}{y}

I can now cross-multiply by multiplying numerator and denominator from each ratio.

80y=100(328)\\80y=32800

I now solve for y by dividing by 80.

\frac{80y}{80} =\frac{32800}{80} \\y= $410

The price after the first discount was $410.

<u>First Discount</u>

We will repeat the steps above with $410. 18% off means we paid 82%.

\frac{82}{100} =\frac{410}{y}

I can now cross-multiply by multiplying numerator and denominator from each ratio.

82y=100(410)\\82y=41000

I now solve for y by dividing by 82.

\frac{82y}{82} =\frac{41000}{82} \\y= $500

The original price was $500.


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