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2 years ago

I) Solve the equation sin2x + 3cos2x = 0 (for 0 till 360°)

1 answer:

galina1969 [7]2 years ago

7 0

Get rid of cos2x by dividing both the values. So Sin2x/cos2x +3cos2x/cos2x.
Tan2x = 3
2x = -71.5 so x is -35.6
Use the quadrant method and add 360 twho the two values tou get.

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The function f(x) = 1/2 x + 3/2 is used to complete this table.

Mrac [35]

Answer:

a) f(-1/2) = -2 is NOT TRUE.

b) f(0) =3/2 is TRUE.

c) f(1) = -1 is NOT TRUE.

d) f(2) = 1 is NOT TRUE.

e) f(4) = 7/2 is TRUE.

Step-by-step explanation:

Here, the given function is $f(x) = (\frac{1}{2}) x+\frac{3}{2}$

Now, checking for each values for the given function:

a) Putting x = (-1/2):

$f(\frac{-1}{2} ) = (\frac{1}{2})(\frac{-1}{2} ) +\frac{3}{2} = \frac{-1}{4} + (\frac{3}{2} )\\\implies f(x) = \frac{-1 + 6}{4} = (\frac{5}{4} )$

and (5/4) ≠ -2

Hence, f(-1/2) = -2 is NOT TRUE.

b)Putting x = 0 :

$f(0) = (\frac{1}{2})(0 ) +\frac{3}{2} = (\frac{3}{2} )$

Hence, f(0) =3/2 is TRUE.

c) Putting x = 1:

$f(1 ) = (\frac{1}{2})(1 ) +\frac{3}{2} = \frac{1}{2} + (\frac{3}{2} )\\\implies f(x) = \frac{3 + 1}{2} = (\frac{4}{2} ) = 2\implies 2 \neq -1$

Hence, f(1) = -1 is NOT TRUE.

d)Putting x = 2:

$f(2 ) = (\frac{1}{2})(2 ) +\frac{3}{2} = 1+ (\frac{3}{2} )\\\implies f(x) = \frac{2 + 3}{2} = (\frac{5}{2} )$

and (5/2) ≠ 1

Hence, f(2) = 1 is NOT TRUE.

e)Putting x = 4:

$f(4 ) = (\frac{1}{2})(4 ) +\frac{3}{2} = 2 + (\frac{3}{2} )\\\implies f(x) = \frac{4 + 3}{2} = (\frac{7}{2} )$

Hence, f(4) = 7/2 is TRUE.

4 0

2 years ago

Jenna wants to open a salon and must choose a location. At Location A, she will pay $1200 per month and charge $45 per haircut.

anzhelika [568]

Profit=revenue-cost

pA(m,h)=45h-1200m

pB(m,h)=60h-1800m

Profit is the same when pA=pB so

60h-1800m=45h-1200m

15h=600m

h=40m

So 40 haircuts per month at either location results in the same profit of $600 per month.

5 0

2 years ago

A bag of trail mix weighs 1.625 pounds round 1.625 to the nearest hundredths

Andrew [12]

If you round 1.625 pounds to nearest hundredths its 1.63 pounds.

7 0

2 years ago

A computer virus is trying to corrupt two files. The first file will be corrupted with probability 0.4. Independently of it, the

Ksivusya [100]

Answer:

$P(X = 0) = 0.42$

$P(X = 1) = 0.46$

$P(X = 2) = 0.12$

Step-by-step explanation:

We have these following probabilities:

40% probability that the first file is corrupted. So 60% probability that the first file is not corrupted.

30% probability that the second file is corrupted. So 70% probability that the second file is not corrupted.

Probability mass function

Probability of each outcome(0, 1 and 2 files corrupted).

No files corrupted:

60% probability that the first file is not corrupted.

70% probability that the second file is not corrupted.

$P(X = 0) = 0.6*0.7 = 0.42$

One file corrupted:

First one corrupted, second no.

40% probability that the first file is corrupted.

70% probability that the second file is not corrupted.

First one ok, second one corrupted.

60% probability that the first file is not corrupted.

30% probability that the second file is corrupted.

$P(X = 1) = 0.4*0.7 + 0.6*0.3 = 0.46$

Two files corrupted:

40% probability that the first file is corrupted.

30% probability that the second file is corrupted.

$P(X = 2) = 0.4*0.3 = 0.12$

8 0

2 years ago

Which number has the lowest value ?<br>a) 1/2 +0.30 b) 0.10 + 3/4 c) 1/3 + 0.50 d) 1/3 +0.40<br>

Leto [7]

Hey!

-------------------------------

Let's Solve A:

1/2 = 0.5

0.5 + 0.30 = 0.80

a = 0.80

-------------------------------

Let's Solve B:

3/4 = 0.75

0.10 + 0.75 = 0.85

b = 0.85

-------------------------------

Let's Solve C:

1/3 ≈ 0.33

0.33 + 0.50 = 0.83

c = 0.83

-------------------------------

Let's Solve D:

1/3 ≈ 0.33

0.33 + 0.40 = 0.73

d = 0.73

-------------------------------

Answer:

By solving each equation we can see that option A has the lowest value!

-------------------------------

Hope This Helped! Good Luck!

8 0

2 years ago