the graph f (x) = 4/x2-2x-3 is shown. For which value of x is f(x) decreasing?

Answer:

Step-by-step explanation:

Since the triangles are similar, the ratio of corresponding sides are same.

ZX is the largest side and corresponding side is BC = 60, the shortest sides are BC = 40 and YZ = 20:

Answer:

Domain:(∞,-∞)

Step-by-step explanation:

Well, I think this is correct because (-3,3) defines the limit. The parabola shows that there are infinite ranges of values within it. It is pretty much straightforward. All values must fit in from (-3,∞) to (-∞,3)
let me know if im wrong im just refreshing my thinking process at this moment.

The parallel lines XY and AC is an illustration of similar triangles

The value of YC is 12 units

From the question, we have:

Parallel lines XY || AC

This means that:

BA : BX = YC : BY

Substitute known values in the above ratio

15 : 10 = YC : 8

Express the ratio as fractions

[tex]\frac{15}{10} = \frac{YC}{8}[/tex]

This gives

[tex]1.5 = \frac{YC}{8}[/tex]

Multiply both sides by 8

[tex]YC = 12[/tex]

Hence, the value of YC is 12 units

Read more about similar triangles at:

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Answer:

D

Step-by-step explanation:

When doing this problem remember that absolute value is a number's distance from zero, and distance is always positive. So, absolute value makes any number positive. This means that |±x| = x. To find the correct number graph, first solve the inequality.

Subtract 1 from both sides

Divide both sides by 3

Then, we need to use absolute value. Any number with a distance from 0 greater than 2 fulfills this inequality. So, the number graph should represent -2 > x and x > 2. Additionally, because the inequality is looking for greater than but not equal to, the circles should be open.

Answer:

192 would be your answer.

Answer:

  a triangular prism

Step-by-step explanation:

The 6 vertices are the vertices of the two triangular faces. The 3 rectangles join those to make a triangular prism.

Answer:

if you go to a gift shop,percents off prices of items? if you buy lunch there, and your school gives you how much of percent of your payment will go towards lunch? if your school gives you percent of what will go to each such as 5 percent will go to the bus 50 percent will go to your ticket?

Answer:

Angle BPQ = 64°

Step-by-step explanation:

4x + 12 +2x = 90

6x + 12 = 90

     - 12    -12

6x = 78

x = 13°

BPQ = ((4(13) + 12)°

           (52 + 12)°

            64°

Answer:

85 km

Step-by-step explanation:

to find this answer you must use the pythagorean theorem

this formula is basically a^2 + b^2 = c^2

so square the two sides that you have and thats the answer of the hypotenuse squared

68^2 + 51^2 = c^2

4624 + 2601 = 7225

then you must take 7225 to the square root

that is 85

The given rational function has a vertical asymptote at x = 12, and the

graph has x and y-intercept at the negative x and y-axis.

Response:

(a) The point (5, -2) is not on the graph

(b) f(x) = -1

(c) If f(x) = 2, x = 30

(d) Domain = (-∞, 12) ∪ (12, ∞)

(e) x-intercept is at x = -6, which is the point (-6, 0)

(f) The y-intercept is at y = -0.5, which is the point (0, -0.5)

(g) A zeros of f, is x = -6

The possible given function is presented as follows;

[tex]f(x) =\mathbf{\dfrac{x + 6}{x - 12}}[/tex]

(a) When x = -2, we have;

[tex]f(-2) = \dfrac{(-2) + 6}{(-2) - 12} = \dfrac{4}{-14} = \mathbf{-\dfrac{2}{7}}[/tex]

Therefore;

The point ([tex]-\frac{2}{7}[/tex], -2) is on the graph, which gives;

(b) If x = 3, we have;

[tex]f(3) =\mathbf{ \dfrac{3 + 6}{3 - 12}} = \dfrac{9}{-9} =-1[/tex]

(c)  If f(x) = 2, we have;

[tex]f(x) =2 = \mathbf{ \dfrac{x + 6}{x - 12}}[/tex]

2·(x - 12) = x + 6

2·x - x = 6 + 2 × 12 = 30

x = 30

(d) The  domain which is the list of possible x-values, which is expressed as follows;

Domain; -∞ < x < 12, and 12 < x < ∞

Which gives;

(e) The x-intercepts are;

[tex]0 = \mathbf{ \dfrac{x + 6}{x - 12}}[/tex]

(f) The y-intercept

[tex]At \ the \ y-intercept, \ f(x) = \dfrac{0 + 6}{0 - 12} = -\dfrac{1}{2} = \mathbf{ -0.5}[/tex]

(g) The zeros of the graph, f, are the points at which the graph crosses the x-axis which at the point x = -6

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Answer: is 28080

Step-by-step explanation:

Answer:

$10,574.40

Step-by-step explanation:

$10,574.40 is already rounded to two decimal places. Rounding to two decimal places means rounding to the hundredths place.

The reflection mapping of the equation p(-2, 4) is [tex]\mathbf{R_{y =1}(P)=(-2,-2)}[/tex]

To solve this question, we must understand what is reflection mapping is all about.

In mathematical concepts, a reflection is indeed a mapping via a Euclidean plane to itself. The isometry of this usually has a hyperplane with designated fixed points that are commonly referred to as axis.

From the given information, we have:

The given points P = (-2, 4)

Required to find:

[tex]\mathbf{R_{y =1}(P)}[/tex]

Hence, the image of P under the axis(point of reflection line) is y = 1

Thus,

[tex]\mathbf{(x,y) = (x,2k-y)}[/tex]

[tex]\mathbf{(x,y) = (-2,2(1)-4)}[/tex]

[tex]\mathbf{(-2,4) = (-2,-2)}[/tex]

Therefore, we can conclude that the [tex]\mathbf{R_{y =1}(P)=(-2,-2)}[/tex]

Learn more about reflection mapping here:

https://brainly.com/question/25998325

*This answer may be wrong (part a), so make sure to double check with someone trustworthy. Feel free to tell me if I had made any mistakes, and I will fix them. Congrats if you read through my whole answer! Good luck!

Answer (a):

Coordinate: (0, 65)

Slope: -25

Step-by-step explanation:

Hint: In the graph, make one space represent 5 units to make the graph simpler (be careful on step #4 when plotting)

1.) Find the y - intercept to find a coordinate the line goes through.

2.) Rewrite the equation -25x + y = 65 in slope - intercept form.

y = 25x + 65

65 is the y - intercept at (0, 65)

3.) The slope is -25, so the slope is negative. To have a slope of 25, we can use the rise/run formula for the slope.

4.) Go 25 units to the left (to get to -25) and one unit down. Plot this point in the graph.

5.) After you have plotted these two points down (y - intercept and slope), draw a line through it.

Answer (b):

$140

Step-by-step explanation:

1.) We plug in 3 in x because it has three charms.

2.) New equation: -25(3) + y = 65

                               -75 + y = 65

3.) We add 75 to both sides to isolate y.

    -75 + y = 65

   +75 + y = 65 + 75

         y = 140

Answer:

a 720

Step-by-step explanation:

because u use pemdas

Answer:

B. Since the y - values decrease as the x - values increase the scatter plots show a negative association.

Step-by-step explanation:

A positive association would be the y - values and the x - values both increases.

I hope this helps!

Answer:

There is 1 cat to 3 pumpkins

1 : 3

1 to 3

[tex]\( \displaystyle \frac{1}{3} \)[/tex]

Step-by-step explanation:

A ratio says how much of one thing there is compared to another thing.

There are 2 cats and 6 pumpkins, so we say:

"There are 2 cats to 6 pumpkins"

Ratios can be shown in different ways:

Use the ":" to separate the values:   2 : 6

Use the word "to":   2 to 6

[tex]\textsf{write it like a fraction}:\ \( \displaystyle \frac{2}{6} \)[/tex]

This ratio can be reduced to its simplest form by divide both numbers by 2.  So the ratio in its simplest form is:

There is 1 cat to 3 pumpkins

1 : 3

1 to 3

[tex]\( \displaystyle \frac{1}{3} \)[/tex]

Answer:

Area shaded ≈ 30.92

Area shaded in terms of π = 144 - 36π

Step-by-step explanation:

Square:

Circle:

Subtract:

-Chetan K

Answer:

yeah

Step-by-step explanation:

give me the pic and ill solve

the area of the square is 144 square meters. the length is 12 m

Answer:

90 degree rotation counterclockwise.

I think its right, BE SAFE! Hope it helps :3

answer:

[tex]3\\[/tex]

explanation:

[tex]\frac{f(x+h)+f(x)}{h}[/tex]

[tex]\hookedrightarrow given.that .f(x) = 3x +h[/tex]

solve:

[tex]\frac{3\left(x+h\right)+5-\left(3x+5\right)}{h}[/tex]

[tex]\frac{3x+3h+5-3x-5}{h}[/tex]

[tex]\frac{3h}{h}[/tex]

[tex]3\\[/tex]

Answer:

what type of triangle is this ?

Step-by-step explanation:

Answer:

Step-by-step explanation:

area formula

Using diagonals:  A =  (d1 × d2) : 2

we use the inverse formula

A * 2 : d1

225 * 2 : 15 =

30cm

--------------------

check

15 * 30 : 2 = 225

the answer is good

Answer:

3q^2-13q+4

Step-by-step explanation:

Answer:

3q^2-13q+4

Step-by-step explanation:

q (3q-1)-4 (3q-1)

3q^2-q-12q+4

3q^2-13q+4

Answer:

What does the circle look like?

Step-by-step explanation:

To find the area use 3.14 times the radius squared.

Give me the picture of the circle so I can solve it.

Step-by-step explanation:

1) supplementary

2) complementary

3) neither

4) neither

5) supplementary

6) complementary

7) supplementary

8) neither

9) complementary

If y = x² - 1, then y + 1 = x² and y' = 2x. Then in the DE, we would have

2x = - (x² - 1) x² / x   ⇒   2 = - x² + 1

but this only true for some values of x. So the first choice is not correct.

If y = 2/(x - 2), then y + 1 = x/(x - 2) and y' = -2/(x - 2)². In the DE,

-2/(x - 2)² = - (2/(x - 2)) (x/(x - 2)) / x   ⇒   -2/(x - 2)² = -2/(x - 2)²

so the second choice is the correct answer.

Answer:

put it in the formula

Step-by-step explanation: