3 years ago

Lucas made the list of all his assets and liabilities below. Highlight each item in

Mathematics

1 answer:

KonstantinChe [14]3 years ago

4 0

Answer:

I got 12,148. Is that an option?

Step-by-step explanation:

98.00 checking account

car (value - outstanding balance) 12,500

plus jewelry $1750

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HELP ON THIS PROBLEM!! Solve the following 0deg< x< 360deg: cos x= cos 2x

blsea [12.9K]

Answer:

$x=0^\circ,120^\circ,240^\circ,360^\circ$

Step-by-step explanation:

Use identities to set the equation up as a quadratic

$\cos x=\cos 2x;\:0^\circ \leq x \leq 360^\circ\\\\\cos x=2\cos^2 x-1\\\\0=2\cos^2 x-\cos x-1$

Make the substitution u=cos(x) and solve the quadratic

$0=2u^2-u-1\\\\0=(2u+1)(u-1)$

$\displaystyle 0=2u+1\\\\0=2\cos x+1\\\\-1=2\cos x\\\\-\frac{1}{2}=\cos x\\\\120^\circ,240^\circ=x$

$0=u-1\\\\0=\cos x-1\\\\1=\cos x\\\\0^\circ,360^\circ=x$

Hence, $x=0^\circ,120^\circ,240^\circ,360^\circ$

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2 years ago

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3 years ago

Which graph shows rotational symmetry?

mihalych1998 [28]

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Step-by-step explanation:

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3 years ago

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2 years ago

Mrs. James has $40.50 to spend at the store. She wants to buy a dress that costs thirty dollars and necklaces that cost $3.50. H

Cloud [144]

Answer:

3 necklaces

Step-by-step explanation:

$40.50-$30.00=$10.50 Subtract her total money and cost of dress

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$6.00-$3.50=$3.50 keep subtracting price of necklace

$3.50-$3.50=$0 that was 3 necklaces

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3 years ago