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Margaret [11]
3 years ago
8

What is the equation of a line with slope -2/3 and a y-intercept of —4 ?

Mathematics
1 answer:
Rudiy273 years ago
8 0

Answer:

Step-by-step explanation:

y = -⅔x - 4

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Which graph represents the function f (x) = StartFraction 2 Over x minus 1 EndFraction + 4?
Pepsi [2]

Answer:

On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 1, and the horizontal asymptote is at y = 4

Step-by-step explanation:

The given function is presented as follows;

f(x) = \dfrac{2}{x - 1} + 4

From the given function, we have;

When x = 1, the denominator of the fraction, \dfrac{2}{x - 1}, which is (x - 1) = 0, and the function becomes, \dfrac{2}{1 - 1} + 4 = \dfrac{2}{0} + 4 = \infty + 4 = \infty therefore, the function in undefined at x = 1, and the line x = 1 is a vertical asymptote

Also we have that in the given function, as <em>x</em> increases, the fraction \dfrac{2}{x - 1} tends to 0, therefore as x increases, we have;

\lim_  {x \to \infty}  \dfrac{2}{(x - 1)} \to 0, and \  \dfrac{2}{(x - 1)}  + 4 \to 4

Therefore, as x increases, f(x) → 4, and 4 is a horizontal asymptote of the function, forming a curve that opens up and to the right in quadrant 1

When -∞ < x < 1, we also have that as <em>x</em> becomes more negative, f(x) → 4. When x = 0, \dfrac{2}{0 - 1} + 4 = 2. When <em>x</em> approaches 1 from the left, f(x) tends to -∞, forming a curve that opens down and to the left

Therefore, the correct option is on a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 1, and the horizontal asymptote is at y = 4.

5 0
2 years ago
|6x|+3=21 solve for X (absolute value)​
Fudgin [204]

Answer:

x=3\text{ or } x=-3

Step-by-step explanation:

So we have the equation:

|6x|+3=21

First, subtract 3 from both sides:

|6x|=18

Definition of absolute value:

6x=18\text{ or } 6x=-18

Divide both sides by 6 for both equations:

x=3\text{ or } x=-3

And we're done!

6 0
2 years ago
Read 2 more answers
Factor:
Naddik [55]

Answer:

D) (5x - 3) (25x^2+ 15x + 9)

Step-by-step explanation:

125 {x}^{3}  - 27 \\  \\  = ( {5x)}^{3}  -  {(3)}^{3}  \\  \\  = (5x - 3) \{(5x) ^{2}  + 5x \times 3 + ( {3})^{2}  \}\\  \\  = (5x - 3) \{25 {x}^{2}  + 15x  + 9\}

3 0
3 years ago
What is the value of each expression (-3)2
k0ka [10]

First you had to remove parenthesis first.

-3*2=-6

Multiply by the numbers.

3*2=6

Final answer \boxed{=-6}

6/3=2

2*3=6

6/2=3

Hope this helps!

And thank you for posting your question at here on brainly, and have a great day.

-Charlie

5 0
3 years ago
Suppose that of all babies born in a particular hospital are girls. If babies born in the hospital are randomly selected, what i
mario62 [17]

Answer:

100%

Step-by-step explanation:

If all the babies born in that hospital are girls then if randomly selected they will all be girls because there are no boys even at that hospital.

5 0
2 years ago
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