Solve and express the solution set in simplest form. 6x-1/5=3/1

Analyze the graph. Which inequality represents the graph?

Anna007 [38]

Answer:

y < -3x + 4

Step-by-step explanation:

From the graph, we can see that the intercept on the y axis is 4 while the intercept on the x-axis is approximately 1.33 or simply 4/3.

This means, at x = 0, y = 4 and at y = 0, x = 4/3.

Therefore the linear equation is;

y = -3x + 4

However, the shaded area is below the line and so the operation will be with the sign less than(<). Also, we see that the line is broken and this means that the line doesn't include equal to "=" sign.

Thus, the correct inequality is;

y < -3x + 4

5 0

3 years ago

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1. - 2а - 9 = 6a + 15

Nataly_w [17]

Answer:

-2a-6a=15+9

-8a=24

a=24/-8

a=-3

7 0

3 years ago

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Jackie is thinking of one number and Adrian is thinking of another. Camila thought if I take these two numbers, they have a prod

ladessa [460]

Answer:

Jackie: 27
Adrian: 21

Step-by-step explanation:

Integers with a product of 567 are ...

567 = 1·567 = 3·189 = 7·81 = 9·63 = 21·27

The last of these pairs of factors have a difference of 6, so they are the answers.

Jackie's number is 27; Adrian's number is 21.

_____

You could let "a" represent Adrian's number and write the equation ...

a(a +6) = 567

a^2 +6a +9 = 576 . . . . . complete the square

(a +3)^2 = 24^2 . . . . . . . write as squares

a = -3 +24 = 21 . . . . . . . . take the positive square root; subtract 3

Adrian's number is 21; Jackie's number is 27.

4 0

3 years ago

What is the equation of the graph obtained when the parent graph y=x^3 translated 4 units left and 7 units down?

yuradex [85]

y = (x + 4)³ - 7

<h3>Further explanation </h3>

There are four types of transformation geometry:

translation (or shifting),
reflection,
rotation, and
dilation (stretching or shrinking).

In this case, the transformation is shifting vertically and horizontally.

Translation (or shifting): moving a graph on an analytic plane without changing its shape.
Vertical shift: moving a graph upwards or downwards without changing its shape.
Horizontal shift: moving a graph to the left or right downwards without changing its shape.

Vertical Shift

Given the graph of y = f(x) and v > 0, we obtain the graph of:

$\boxed{ \ y = f(x) + v \ }$ by shifting the graph of $\boxed{ \ y = f(x) \ }$ upward v units.
$\boxed{ \ y = f(x) - v \ }$ by shifting the graph of $\boxed{ \ y = f(x) \ }$ downward v units.

Horizontal Shift

Given the graph of y = f(x) and h > 0, we obtain the graph of:

$\boxed{ \ y = f(x + h) \ }$ by shifting the graph of $\boxed{ \ y = f(x) \ }$ to the left h units.
$\boxed{ \ y = f(x - h) \ }$ by shifting the graph of $\boxed{ \ y = f(x) \ }$ to the right h units.

- - - - - - - - - -

<u>Given:</u>

The parent graph $\boxed{ \ y = x^3 \ }$

<u>Question:</u>

What is the equation of the graph obtained when the parent graph y=x^3 translated 4 units left and 7 units down?

<u>The Process:</u>

Clearly, we must translate the graph of $\boxed{ \ y = x^3 \ }$ to obtain the new equation of the graph.

$\boxed{ \ y = x^3 \ }$ translated 4 units left.

It becomes $\boxed{ \ y = (x + 4)^3 \ }$

Furthermore, $\boxed{ \ y = (x + 4)^3 \ }$ translated 7 units down.

Thus, the result is $\boxed{ \ y = (x + 4)^3 - 7 \ }$

<u>Conclusion </u>

Thus, when the parent graph of y = x³ translated 4 units left and 7 units down, the result is the equation of the graph y = (x + 4) ³ - 7

<h3>Learn more </h3>

Transformations that change the graph of f(x) to the graph of g(x) brainly.com/question/2415963
The similar problem brainly.com/question/1369568
Which equation represents the new graph brainly.com/question/2527724

Keywords: what is the equation, the graph, y = x³, which, correctly, y = (x + 4)³ - 7, obtained, when ,the parent, translation, shift, left, down, up, upward, units, horizontal, vertical , transformation

8 0

3 years ago

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Graph the linear equation 3x=10

allochka39001 [22]

3x = 10
3x = 10
3 3
x = 3¹/₃

5 0

3 years ago