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2 years ago

Which systems of equations does this graph represent?

Mathematics

1 answer:

Maru [420]2 years ago

8 0

mmcht. can't really see the graph

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(1+cos2x)/(1-cos2x) = cot^2x

sesenic [268]

We will turn the left side into the right side.

$\dfrac{1 + \cos 2x}{1 - \cos2x} = \cot^2 x$

Use the identity:

$\cos 2x = \cos^2 x - \sin^2 x$

$\dfrac{1 + \cos^2 x - \sin^2 x}{1 - ( \cos^2 x - \sin^2 x)} = \cot^2 x$

$\dfrac{1 - \sin^2 x + \cos^2 x }{1 - \cos^2 x + \sin^2 x} = \cot^2 x$

Now use the identity

$\sin^2 x + \cos^2 x = 1$ solved for sin^2 x and for cos^2 x.

$\dfrac{\cos^2 x + \cos^2 x }{\sin^2 x + \sin^2 x} = \cot^2 x$

$\dfrac{2\cos^2 x}{2\sin^2 x} = \cot^2 x$

$\dfrac{\cos^2 x}{\sin^2 x} = \cot^2 x$

$\cot^2 x = \cot^2 x$

8 0

2 years ago

Last week Lisa had gross earning of $441.30. Cathy receives a base salary of $375 and a commision on sales exceeding her quota o

vova2212 [387]

Answer:

4.25%

Step-by-step explanation:

Step 1: Calculate the commission paid

Commission = Gross earning - base salary

Commission = 441.3 - 375

Commission = 66.3

Step 2: Calculate the commission sales

Commission sales = Total sales - quota sales

Commission sales = 6560 - 5000

Commission sales = 1560

Step 3: Calculate the rate of commission

x% of 1560 = 66.3

x% * 1560 = 66.3

x% = 0.0425

x = 4.25%

Therefore, the rate of commission was 4.25%.

6 0

3 years ago

What is the truth value for the following conditional statement?

alexgriva [62]

True I think is the answer

8 0

3 years ago

Read 2 more answers

Sherwood has a square flower garden

almond37 [142]

Answer:

9 times

Step-by-step explanation:

3 × 3 = 9

172 ÷ 9 = 9 and 1/9

so she can only fertilize the garden 9 times

7 0

3 years ago

Question text You have just won the lottery. The Lottery Corporation offers you two options: 1. a lump-sum payment of $400,000,

igomit [66]

Use present value equation.
If present value of annuity equals 400,000, then you are indifferent.

$PV = A(v + v^2 + ...v^{20}) \\ \\ PV = A\frac{v(1-v^{20})}{1-v}$

where v = 1/(1+r) and A = annual payment = 800,000/20 = 40,000

PV = 400,000
After subbing in the numbers, the equation is:
$10 = \frac{v(1-v^{20})}{1-v} \\ \\ 10 - 10v = v - v^{21} \\ \\ v^{21} - 11v+10 = 0 \\ \\ v = 0.928034 \\ \\ \frac{1}{1+r} = 0.928034 \\ \\ r = 0.0775$

Therefore at interest rate of about 7.75% you are indifferent.

6 0

3 years ago