Solve the following function. Show all work.
If g(x) = – 3x + 2, find g(–4).

Answer:

I will help you but is there any picture that can help me answer the question?

Answer:

[tex]\sin(\theta)=\frac{\sqrt{13}}{7}\approx0.5151[/tex]

Step-by-step explanation:

So we know that Θ is acute and that:

[tex]\cos(\theta)=6/7[/tex]

First, note that since Θ is acute, it is between 0 and 90 degrees, meaning that all of our trig ratios will be positive since the angle is in the Quadrant I.

The Pythagorean Identity is:

[tex]\sin^2(\theta)+\cos^2(\theta)=1[/tex]

We know that cosine is 6/7. Substitute:

[tex]\sin^2(\theta)+(\frac{6}{7})^2=1[/tex]

Square:

[tex]\sin^2(\theta)+\frac{36}{49}=1[/tex]

Subtract both sides by 36/49. Change the 1 to 49/49 to make a common denominator:

[tex]\sin^2(\theta)=\frac{49}{49}-\frac{36}{49}[/tex]

Subtract:

[tex]\sin^2(\theta)=\frac{13}{49}[/tex]

Take the square root of both sides:

[tex]\sin(\theta)=\pm\sqrt{\frac{13}{49}}[/tex]

Simplify:

[tex]\sin(\theta)=\pm\frac{\sqrt{13}}{7}[/tex]

As mentioned previously, since Θ is acute, all of the trig functions must be positive. So, we can ignore our negative answer:

[tex]\sin(\theta)=\frac{\sqrt{13}}{7}\approx0.5151[/tex]

and we're done!

Answer:

Hey there!

Let h be the number of hamburgers sold.

Let c be the number of cheeseburgers sold.

h+c=580

c=3h

4h=580

h=145

145 hamburgers were sold.

Let me know if this helps :)

Answer: 60 rooms

Step-by-step explanation:

because in 30 rooms is 3 hour + other 3 hour are 60 rooms. =60 rooms

Answer:

Step-by-step explanation:

Answer:

RSM = 56.4

Step-by-step explanation:

RSM + MST = RST

RSM + 33.6= 90

Subtract 33.6 from each side

RSM + 33.6 - 33.6= 90-33.6

RSM= 90-33.6

RSM = 56.4

RST is a right angle, and right angles are 90 degrees

RST = 90 degrees

MST = 33.6 degrees

RSM = ?

The angles MST and RSM add up to 90 degrees

90 = 33.6 + RSM

Subtract 33.6 from both sides

56.4 degrees = RSM

Answer:

4 °F

Step-by-step explanation:

Answer:

-4 - 7i

Step-by-step explanation:

If a quadratic equation with real coefficients has a complex number as a solution, then the complex conjugate of that number is also a solution.

Assuming the coefficients of the quadratic function are real, then the other solution is

-4 - 7i

Answer:

5/6

Step-by-step explanation

Answer:

-24r + 56

Step-by-step explanation:

To find the area of this rectangle we multiply width and length

8 × (-3r + 7) = -24r + 56

someone said this was wrong and I realized that I was just confused so i fixed it

it's 3:1

Answer:

b

Step-by-step explanation:

Answer:

ok lol

Step-by-step explanation:

Answer:

Is it just me or after this did you just put the 2nd answer for every question after this and failing every test I have taken

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

3x – one-ninthy = 18, when y = 27?

one-ninthy 27 = 3

3x - 3 = 18

3 x 7 = 21

21 - 3 = 18

hope this helps

Answer:

7

Step-by-step explanation:

answered on edge

Answer:

80

Step-by-step explanation:

20 / 25 = 0.8 = 80%

Answer:

80%

Step-by-step explanation:

20/25 = 0.8 = 80%

Answer: 1/15

Step-by-step explanation: A. If 1/3 cup makes 5 rolls, you need to know how many cups make one. (1/3)/5 = 1/15  Take the number of cups for one roll and multiply it by 3.  1/15 x 3  Final Answer = 3/15

B. Take the number of cups you have divided by 1/3 (since you know how many roles this makes)  (5 2/3) / (1/3)  Final Answer = 17

C. Well, we already solved for this one in A, didn't we?  Final Answer = 1/15

Answer:

x = 9

y = 56

Step-by-step explanation:

(3x + 7)° + (6x + 2)° = 90° (both angles are complementary)

Find the value of x using this equation

[tex] 3x + 7 + 6x + 2 = 90 [/tex]

Collect like terms

[tex] 3x + 6x + 7 + 2 = 90 [/tex]

[tex] 9x + 9 = 90 [/tex]

Subtract 9 from each side

[tex] 9x + 9 - 9 = 90 - 9 [/tex]

[tex] 9x = 81 [/tex]

Divide both sides by 9

[tex] \frac{9x}{9} = \frac{81}{9} [/tex]

[tex] x = 9 [/tex]

y° = (6x + 2)° (both angles are vertical angles. Vertical angles are equal)

Plug in the value of x to find y

y = 6(9) + 2

y = 54 + 2

y = 56

Answer:

280 miles

Step-by-step explanation:

We want to determine what speed Camden is going first so we can find the distance. To do so, you can divide the total miles (320) by the number of hours (8) to find he is driving 40 miles per hour. Then, you can take that and multiple it by the number of hours he will drive (7) to get 280 miles. I hope this helps! :)

Answer:

you will get back 167$

Step-by-step explanation:

Answer: in the domain of this situation, there is no asymptote.

Step-by-step explanation:

Asymptote would be on the left where x is negative but this function only shows all positive values of X

The value of k is -0.25. The graph shows that the actual number of consoles sold is slightly higher than the predicted number of consoles sold.

The graph shows that the number of consoles sold each day after the launch of the Brighton Company gaming console follows an exponential decay pattern. This means that the number of consoles sold each day is decreasing at a rate that is proportional to the number of consoles that have already been sold.

The equation that can be used to model this exponential decay pattern is:

N = A * [tex]e^{-kt[/tex]

where:

N is the number of consoles sold on day t

A is the initial number of consoles sold (200 consoles)

k is a constant that determines the rate of decay

e is the base of the natural logarithm

We can use the data from the graph to estimate the value of k. The first day after the launch, 180 consoles were sold. This means that on day 1, N = 180. The initial number of consoles sold, A, is known to be 200 consoles. Therefore, we can write the following equation:

180 = 200 * [tex]e^{-kt[/tex]

Solving for k, we get:

k = -ln(1.8) / 1

≈ -0.25

The value of k is approximately -0.25. This means that the number of consoles sold each day is decreasing at a rate of 25%.

We can use the equation to predict the number of consoles sold on future days. For example, on day 2, we would predict that 150 consoles would be sold. On day 3, we would predict that 120 consoles would be sold.

The graph shows that the actual number of consoles sold is slightly higher than the predicted number of consoles sold. This is because the exponential decay pattern is not perfect. There are other factors that can affect the number of consoles sold, such as the availability of the console and the price of the console.

To learn more about graph here:

https://brainly.com/question/17267403

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Answer:

sin3A/sinA-Cos3A/CosA=2​

taking LCM

= Sin3A.CosA - Cos3A. SinA

     SinA . CosA

= Sin(3A-A)

  SinA . CosA

=  Sin2A          

   SinA . CosA

= 2 SinA. CosA

    SinA . CosA

=2

Step-by-step explanation:

Answer: The Answer is 5 1/8.

Step-by-step explanation:

Work Shown:

2/5 of 75 = (2/5)*75 = 0.4*75 = 30

Yesterday 30 people gave speeches. There are 75-30 = 45 people left.

1/3 of 45 = (1/3)*45 = 15

Then another 15 people gave speeches today. So there are 45-15 = 30 people who haven't given their speeches yet.

Answer:

24

Step-by-step explanation:

If you need an explaination you should immediatly remove yourself from the Gene pool, this is a 3rd grade question.

The result is: 30 divided by 1.25 equals 24.

To divide 30 by 1.25, follow these steps in words:

The division 30 ÷ 1.25 can be written as the fraction 30/1.25.

Remove the decimal by multiplying both the numerator and denominator by a power of 10 to convert the decimal into a whole number.

Since 1.25 has two decimal places, multiply both the numerator and denominator by 100 to remove the decimal:

30/1.25 = (30 * 100) / (1.25 * 100) = 3000 / 125

Find the greatest common divisor (GCD) of the numerator and denominator and divide both by the GCD to simplify the fraction:

GCD of 3000 and 125 is 25.

3000 ÷ 25 = 120

125 ÷ 25 = 5

So, 3000/125 simplifies to 120/5.

Divide the numerator by the denominator to get the final result.

Now, simply divide the numerator (120) by the denominator (5):

120 ÷ 5 = 24

The result is 24.

So, 30 divided by 1.25 equals 24.

To learn more on division click:

brainly.com/question/21416852

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Answer:

3.2.2.2.2...

Step-by-step explanation:

The prime factors of 96 are written as 2 x 2 x 2 x 2 x 2 x 3 or 3 x 25, where 2 and 3 are the prime numbers

Answer: Thumb drive, ROM, Hard-disk

Step-by-step explanation:

Answer:

3 and 4

Step-by-step explanation: