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skelet666 [1.2K]
3 years ago
13

What appears to be the solution to the system of equations shown in the graph below?

Mathematics
1 answer:
AlladinOne [14]3 years ago
6 0

Given:

The system of equation is,

3x-4y = -2 -------- (1)

-6x+5y = 7 -------- (2)

To find the solution.

To solve the system of equation,

From (1) we get, 3x = -2+4y

Putting this value into (2) we get,

-6x+5y = 7

or, -2(3x)+5y = 7

or, -2(4y-2)+5y = 7

or, -8y+4+5y = 7

or, -3y = 7-4

or, -3y = 3

or, y = -1

From (1) we get,

3x = -2+4(-1)

or, 3x = -6

or, x = -2

Hence,

The solution is x= -2 and y = -1

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Which is the domain of f(x) = 4^x<br> will give brainlist!
Ksenya-84 [330]

Answer:

all real numbers

Step-by-step explanation:

The domain is the input values

All values for x are valid as inputs to the function

4 0
3 years ago
2a+4(7+5a)I need help
kolezko [41]

2a+4(7+5a)

Distribute 4 into 7 and 5a

2a+28+20a

Combine like terms

Final Answer: 22a+28

6 0
3 years ago
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Are you getting enough sleep? Many kids aren’t getting enough sleep, and TV might be part of the problem. Among 2002 randomly se
Naya [18.7K]

Using the z-distribution, it is found that the lower bound of the 99% confidence interval is given by:

d. 68.39%.

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions is given by:

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which:

  • \pi is the sample proportion.
  • z is the critical value.
  • n is the sample size.

In this problem, we have a 99% confidence level, hence\alpha = 0.99, z is the value of Z that has a p-value of \frac{1+0.99}{2} = 0.995, so the critical value is z = 2.575.

The sample size and estimate are given by:

n = 2002, \pi = 0.71

Hence, the lower bound is given by:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.71 - 2.575\sqrt{\frac{0.71(0.29)}{2002}} = 0.6839

Hence the lower bound is of 68.39%, which means that option D is correct.

More can be learned about the z-distribution at brainly.com/question/25890103

#SPJ1

4 0
2 years ago
Write each of the following as a function of theta.<br> 1.) sin(pi/4 - theta) 2.) tan(theta+30°)
Paladinen [302]

Step-by-step explanation:

Let x represent theta.

\sin( \frac{\pi}{4} - x )

Using the angle addition trig formula,

\sin(x - y)  =  \sin(x)  \cos(y)  -  \cos(x)  \sin(y)

\sin( \frac{\pi}{4} )  \cos(x)  -  \cos( \frac{\pi}{4} )  \sin(x)

( \frac{ \sqrt{2} }{2})  \cos(x)  -  (\frac{ \sqrt{2} }{2}  )\sin(x)

Multiply one side at a time

Replace theta with x , the answer is

\frac{ \sqrt{2} \cos(x)  }{2}  -  \frac{ \sin(x) \sqrt{2}  }{2}

2. Convert 30 degrees into radian

\frac{30}{1}  \times  \frac{\pi}{180}  =  \frac{\pi}{6}

Using tangent formula,

\tan(x + y)  =  \frac{ \tan(x)  +  \tan(y) }{1 -  \tan(x) \tan(y)  }

\frac{ \tan(x) +  \tan( \frac{\pi}{6} )  }{1 -  \tan(x) \tan( \frac{\pi}{6} )  }

Tan if pi/6 is sqr root of 3/3

\frac{ \tan(x) +  ( \frac{ \sqrt{3} }{3} )  }{1 -  \tan(x)  (\frac{ \sqrt{3} }{3} )  }

Since my phone about to die if you later simplify that,

you'll get

\frac{(3 \tan(x) +  \sqrt{3} )(3 +  \sqrt{3}  \tan(x)  }{3(3 -  \tan {}^{2} (x) }

Replace theta with X.

4 0
2 years ago
Find the missing part.
sveta [45]

Answer:

The answer is a = \frac{15}{4}

Step-by-step explanation:

We have to:

cos(\theta) = \frac{adjacent\ side}{hypotenuse}

So, if we take the 60 degree angle of the smallest triangle, we have to:

cos(60) = \frac{a}{x}

We do not know x. But if we take the sine of the angle of 30 degrees and the main triangle we have:

sin(30) = \frac{x}{15}\\\\x =\frac{15}{2}

Then:

cos(60) = \frac{a}{\frac{15}{2}}

a = cos(60)\frac{15}{2}

a = \frac{15}{4}

7 0
3 years ago
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