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3 years ago

If f (x) = 2 [[x]] , find f ( - 1/4)

Mathematics

1 answer:

irga5000 [103]3 years ago

5 0

Answer:

-0.5

Step-by-step explanation:

In the picture above.

I hope that it's a clear solution.

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Write the equation and slope intercept form: y-4=2(x+3)

Reika [66]

Answer:

y = 2x + 10

Step-by-step explanation:

Remember, slope-intercept form is:

y = mx + b

where m is the slope and b is the y-intercept.

To write the equation in slope-intercept form, we can just solve the equation for slope-intercept form.

y - 4 = 2(x + 3)

Distribute the 2 on the right side.

y - 4 = 2x + 6

Add 4 to both sides.

y = 2x + 10

Notice, now we have the equation in slope-intercept form.

I hope this helps. Happy studying.

5 0

3 years ago

Determine the range of the following graph:

Vlada [557]

Answer as an inequality: $\boldsymbol{2 \le y \le 7}$

Answer in interval notation: [2, 7]

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Explanation:

The range is the set of all possible y outputs of a function.

The lowest point occurs when y = 2

The highest point occurs when y = 7

The range is the set of every y value between 2 and 7, including the endpoints.

The range as an inequality is $2 \le y \le 7$

It is equivalent to [2, 7] in interval notation. The square brackets include each endpoint.

7 0

3 years ago

Using the slope intercept formula, we can see the slope of line p is ¼. Since line k is perpendicular to line p it must have a s

pantera1 [17]

Answer:

The slope of line k is - 4 .

Step-by-step explanation:

The slope of given line p is 1/4

Let the slope of line k which is perpendicular to is m.

When the two line are perpendicular to each other, the product of the slopes is always negative 1.

So, the slope of line k is given by

$m=- \frac{1}{\frac{1}{4}}\\\\m = - 4$

5 0

3 years ago

50 POINTS! Reflect quadrilateral PQRS about the y-axis. Then translate the resulting quadrilateral 2 units down.

timama [110]

Answer:

D.) P’(12, 6), Q’(8, 7), R’(4, 4), and S’(7, 1)

Step-by-step explanation:

Reflection over the y-axis changes the sign of the x-coordinate:

(x, y) ⇒ (-x, y) . . . . . reflection over the y-axis

Translation 2 units down, subtracts 2 from the y-coordinate:

(x, y) ⇒ (x, y -2) . . . . . translation 2 units down

The combined transformation is ...

(x, y) ⇒ (-x, y -2) . . . . . reflection over y-axis and translation 2 down

For point P, the image coordinates are ...

P(-12, 8) ⇒ P'(-(-12), 8 -2) = P'(12, 6) . . . . matches choice D

5 0

3 years ago

If we divide x^3 + 3x by x, the result will be?

postnew [5]

Answer:

x^2 +3

Step-by-step explanation:

(x(x^2 +3))/x

6 0

3 years ago