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pogonyaev
4 years ago
5

Eight less than four times a number is the same as three times the number , x, increased by 24. Which equation describes this si

tuation?
Correct Answer will get brainiest!

A. 8x - 4 = 4x + 3
B. 4x - 8 = 3x + 24
C. 8 - 4x = 3x + 24
D. 4x + 8 = 3x - 24
Mathematics
1 answer:
ANEK [815]4 years ago
7 0
B is the correct answer
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Solve the trigonometric equation in the interval [0, 2π). Give the exact value, if possible; otherwise, round your answer to two
svp [43]

Answer:

θ∈{\frac{\pi }{8},\frac{5\pi }{8},\frac{9\pi }{8},\frac{13\pi }{8}}

Explanation:

The given equation is

sin(2\theta )-cos(2\theta )=0

\Rightarrow sin(2\theta )=cos(2\theta )\\\\\therefore \frac{sin(2\theta )}{cos(2\theta )}=1\\\\tan(2\theta )=1\\\\\therefore 2\theta =n\pi +\frac{\pi}{4}\\\\\therefore \theta =\frac{n\pi }{2}+\frac{\pi }{8}

Applying values on 'n' we obtain values of θ that beling to [0,2π)

For n=0, θ=\frac{\pi }{8}

For n=1, θ =\frac{5\pi }{8}

For n=2,θ =\frac{9\pi }{8}

For n=3,θ =\frac{13\pi }{8}

6 0
4 years ago
Which equation satisfies all three pairs of a and b values listed in the table?
Tom [10]

Answer:

y = 3x -10

Step-by-step explanation:

The function seems to increase at a constant rate of 3 units. This means that the equation that satisfies these points could be that of a straight line.

We use the first two points to find the slope of the line.

(0, -10)

(1, -7)

(2, -4)

The equation of a line is:

y = mx + b

Where m is the slope of the line and b is the cutoff point with the y axis.

To find the slope of a line we use the following equation:

m = \frac{y_2-y_1}{x_2-x_1}\\\\m = \frac{-7 - (- 10)}{1-0}

m = 3

So:

y = 3x + b

The cut point (b) is found by replacing in the previous equation, any of the three points provided and clearing b.

-7 = 3(1) + b

b = -10

Now we can write the equation of the line sought.

y = 3x -10

You can verify that the three points provided belong to this equation.

7 0
4 years ago
Read 2 more answers
Please help
faltersainse [42]
The other one will be 66 degrees because what you do is you see it is a 90 degree angle so then you subtract 24 from 90 and get 66
4 0
4 years ago
Read 2 more answers
What is the answer for 2/4*7/10
kifflom [539]

Answer:

1/40

Step-by-step explanation:

2/4*7/10

=2/28/10

=0.0714/10

=0.00714

6 0
3 years ago
Solve.
Mkey [24]

Step-by-step explanation:

x - ( - 256) =  - 15 \\x + 256 =  - 15 \\ x =  - 15 - 256 \\ x =  - 271

6 0
3 years ago
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