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VARVARA [1.3K]
3 years ago
11

On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 3, negative 7) and (0, 2). Everyth

ing to the left of the line is shaded. Which linear inequality is represented by the graph?
Mathematics
1 answer:
Ad libitum [116K]3 years ago
8 0

Answer:

y>3x+2

Step-by-step explanation:

1. use y2-y1/x2-x1 to find the slope (3)

2. since the y-intercept is already give as (0,2) we have the equation y=3x+2

3. finally since the left side is shaded, that would mean everything greater than that equation can equal y therefore y>3x+2

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What is -8/15+(-1/15
Vlad [161]

Answer:

-3/5

Step-by-step explanation:

-8/15 + (-1/15) = -8/15 - 1/15 = -9/15 = -3/5

7 0
3 years ago
65536, 256, 16, What is the next number?
Oduvanchick [21]
Hello,

x_{1} =65536\\
 x_{n+1} =\sqrt{ x_{n}}\\\\

 x_{1}=65536\\
 x_{2} =\sqrt{65536}=256\\
 x_{3} =\sqrt{256}=16\\
 x_{4} =\sqrt{16}=4\\
 x_{5} =\sqrt{4}=2\\
 x_{6} =\sqrt{2}\\
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7 0
3 years ago
What is y-1 =2(x +3) in standard form?
miv72 [106K]

Answer:

y-1=2(x+3)

y-1=2x+6

y=2x+6+1

y=2x+7

6 0
3 years ago
Match the features of the graph of the rational function.
Sunny_sXe [5.5K]

After applying <em>algebraic</em> analysis we find the <em>right</em> choices for each case, all of which cannot be presented herein due to <em>length</em> restrictions. Please read explanation below.

<h3>How to analyze rational functions</h3>

In this problem we have a rational function, whose features can be inferred by algebraic handling:

Holes - x-values that do not belong to the domain of the <em>rational</em> function:

x³ + 8 · x² - 9 · x = 0

x · (x² + 8 · x - 9) = 0

x · (x + 9) · (x - 1) = 0

x = 0 ∨ x = - 9 ∨ x = 1

But one root is an evitable discontinuity as:

y = (9 · x² + 81 · x)/(x³ + 8 · x² - 9 · x)

y = (9 · x + 81)/(x² + 8 · x - 9)

Thus, there are only two holes. (x = - 9 ∨ x = 1) Besides, there is no hole where the y-intercept should be.

Vertical asymptotes - There is a <em>vertical</em> asymptote where a hole exists. Hence, the function has two vertical asymptotes.

Horizontal asymptotes - <em>Horizontal</em> asymptote exists and represents the <em>end</em> behavior of the function if and only if the grade of the numerator is not greater than the grade of the denominator. If possible, this assymptote is found by this limit:

y = \lim_{x \to \pm \infty} \frac {9\cdot x + 81}{x^{2}+8\cdot x - 9}

y = 0

The function has a horizontal asymptote.

x-Intercept - There is an x-intercept for all x-value such that numerator is equal to zero:

9 · x + 81 = 0

x = - 9

There is a x-intercept.

Lastly, we have the following conclusions:

  1. How many holes? 2
  2. One <em>horizontal</em> asymptote along the line where y always equals what number: 0
  3. This function has x-intercepts? True
  4. One <em>vertical</em> asymptote along the line where x always equals what number: 1
  5. There is a hole where the y-intercept should be? False

To learn more on rational functions: brainly.com/question/27914791

#SPJ1

5 0
2 years ago
Which function has an inverse that is a function?
fredd [130]

Answer:

m(x)

Step-by-step explanation:

they would have to pass the horizontal line test and the vertical line test for both the origional and the inverse.

b(x) does not pass the horizontal line test in any of the y values over 3

d(x) does not pass the horizontal line test for y=-9

p(x) does not pass the horizontal line test for positive y values

and m(x) has only one corresponding x value for every y value

7 0
2 years ago
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