What equations are equivalent to the equation 6x+9=12

Find the value of csc theta, I'd cos thetA =-1/4;180< theta<270

ss7ja [257]

Caca because I said so luv

3 0

3 years ago

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Which description matches the transformations y=cos x undergoes to produce y=-2cos3x?

mrs_skeptik [129]

Answer:

horizontal compression by factor 3, vertical stretch by factor 2, then reflection across the x-axis ⇒ answer A

Step-by-step explanation:

* Lets revise some transformation

- A vertical stretching is the stretching of the graph away from

the x-axis

# If k > 1, the graph of y = k•f(x) is the graph of f(x) vertically stretched

by multiplying each of its y-coordinates by k.

# If k should be negative, the vertical stretch is followed by a reflection

across the x-axis.

- A horizontal compression is the squeezing of the graph toward

the y-axis.

# If k > 1, the graph of y = f(k•x) is the graph of f(x) horizontally

compressed by dividing each of its x-coordinates by k.

* Lets solve the problem

∵ y = cos x

∵ y = -2 cos 3x

- At first cos x multiplied by -2

∵ y multiplied by -2

∵ 2 > 1

∴ y = cos x is stretched vertically by factor 2

∵ The factor 2 is negative

∴ y = cos x reflected across the x-axis

∴ The function y = cos x stretched vertically with factor 2 and then

reflected across the x-axis ⇒ (1)

∵ cos x changed to cos 3x

∵ x multiplied by 3

∵ 3 > 1

∴ y = cos x compressed horizontally by factor 3

∴ The function y = cos x compressed horizontally by factor 3 ⇒ (2)

- From (1) and (2)

* The function y = cos x has horizontal compression by factor 3,

vertical stretch by factor 2, then reflection across the x-axis to

produce y = -2 cos 3x

5 0

4 years ago

2[x-3]+1=7. <br><br> Help me pls

Mandarinka [93]

Answer:

$2(x - 3) + 1 = 7 \\ 2(x - 3) = 7 - 1 \\ 2x - 2 \times 3 = 6 \\ 2x - 6 = 6 \\ 2x = 6 + 6 \\ 2x = 12 \\ x = \frac{12}{2} = 6 \\ x = 6 \\ thank \: you$

8 0

3 years ago

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which of the following graphs shows a negative linear relationship with a correlation coefficient, r, close to -0.5.

Harrizon [31]

Answer:

In the graph attached there is a sample generated with a correlation coefficient r=-0.5.

Step-by-step explanation:

A value of r that is -0.5 shows that there is a certain correlation and that this correlation is negative.

As there are no examples in this question, I searched for a generator of random samples with a user-input correlation coefficient between the two variables.

In the graph attached there is a sample generated with a correlation coefficient r=-0.5.

3 0

4 years ago

Which fraction shows the ratio 16:200 as a fraction simplified form

svlad2 [7]

Answer:

C. $\frac{2}{25}$

Step-by-step explanation:

We have been given a ratio 16:200 and we are asked to find the ratio as a fraction in simplified form.

Since ratio compares two numbers or two quantities that are measured with the same unit.

Upon converting our ratio into fraction we will get,

$\frac{16}{200}$

Let us cancel out greatest common factor from numerator and denominator of our fraction to simplify it.

$\frac{16}{200}=\frac{8*2}{25*8}$

After cancelling out 8 we will get,

$\frac{2}{25}$

Therefore, our fraction simplifies to $\frac{2}{25}$ and option C is the correct choice.

4 0

4 years ago

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