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2 years ago

2. Solve each given equation and show your work. Tell whether it has one solution, an infinite number of

Mathematics

1 answer:

marin [14]2 years ago

3 0

Answer:

a. infinite solutions, answer is x = 30, identity equation

b. no solution, a contradiction equation

c. no solution, a contradiction equation

Step-by-step explanation:

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At what x-values do the graphs of the functions y=cos 2x and y = cos^2 x-1 intersect over the interval 0 ≤ x ≤ pi. There must be

baherus [9]

Answer:

$x=\frac{\pi}{2}$ and $x=\frac{3\pi}{2}$

Step-by-step explanation:

We need to solve the 2 equations to figure out the x-values (intersecting points).

<em>Note: </em>The identity $cos^{2}x=\frac{1}{2}+\frac{1}{2}cos(2x)$

$cos(2x)=cos^{2}(x)-1\\cos(2x)=(\frac{1}{2}+\frac{1}{2}cos(2x))-1\\cos(2x)=\frac{1}{2}cos(2x)-\frac{1}{2}\\\frac{1}{2}cos(2x)=-\frac{1}{2}\\cos(2x)=-1\\2x=cos^{-1}(-1)\\2x=\pi, 3\pi\\x=\frac{\pi}{2}, \frac{3\pi}{2}$

So they intersect at $x=\frac{\pi}{2}, \frac{3\pi}{2}$

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3 years ago

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What is the answer to this equation 3-3x6+2=?

Afina-wow [57]

3x6 = 18
3 - 18 = -15
-15 + 2 = -13

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2 years ago

Is the formula used to calculate ________.

Likurg_2 [28]

Answer:

Step-by-step explanation:

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2 years ago

Use the original price and the markdown to find the retail price. Original price: $40; Markdown: 20%

Dmitry [639]

Answer:

The markdown price is $32

Step-by-step explanation:

•Divide 40 by 100 to get what 1% equals

•Multiply that value (0.4) by 20

•Subtract that value from the original

40/100=0.4

0.4×20=8

40-8=32

7 0

2 years ago

There are 32 forwards and 80 guards in Leo's basketball league.

Dmitry_Shevchenko [17]

The greatest common factor is the product of shared primes of the numbers prime factorizations.

32=2*2*2*2*2, 80=2*2*2*2*5 So the GCF is 2*2*2*2=16

So there will be 16 teams with 2 forwards and 5 guards each.

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3 years ago

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