How many radians is 30°?

Answer:

[tex]5x + 3[/tex]

Step-by-step explanation:

(5 × x) - Product of 5 and x

=5x

increased by 3

5x +3

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

Learn more about the graph of functions here:

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*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

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]

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Answer:

See the attached file

There is also this app "desmos" it helps in this just put the equation in there

Answer:

Read below

Step-by-step explanation:

Slope-intercept form: y = mx + b

where:

1. Rewrite 3x - 4y = -12 into slope-intercept form:

3x - 4y = -12 [subtract 3x from both sides]

3x - 3x - 4y = -12 - 3x

-4y = -3x - 12 [divide both sides by -4]

-4y ÷ -4 = -3x - 12 ÷ -4

[tex]\implies y =\dfrac{3}{4}x + 3[/tex]

Note: with the slope-intercept form, we can quickly see that the y-intercept is (0, 3)

2. Randomly choose x-values that can help you graph the equation:

When x = -8:

[tex]y =\dfrac{3}{4}x + 3\\\\y =\dfrac{3}{4}(-8) + 3\\\\y =-\dfrac{24}{4} + 3\\\\y =-6 + 3\\\\\implies y=-3[/tex]

coordinate: (-8, -3)

When x = -4:

[tex]y =\dfrac{3}{4}x + 3\\\\y =\dfrac{3}{4}(-4) + 3\\\\y =-\dfrac{12}{4} + 3\\\\y =-3 + 3\\\\\implies y=0[/tex]

coordinate: (-4, 0)

When x = 8:

[tex]y =\dfrac{3}{4}x + 3\\\\y =\dfrac{3}{4}(8) + 3\\\\y =\dfrac{24}{4} + 3\\\\y =6 + 3\\\\\implies y=9[/tex]

coordinate: (8, 9)

Graph these coordinates and draw a linear (straight) line through them.

Answer:

5

Step-by-step explanation:

The equation looks like 4x=20
Divide each side by 4 to get x=5
Thus x+5

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:

Step-by-step explanation:

You have to assume that the triangles are congruent or at least similar. If they are not, the question isn't possible.

If that is so, then <M and <X are equal.

You can find < M by stating that 20 degrees.

That's because <L + <M + <N = 180 degrees. All triangles have 180 degrees.

<L = 70                  Given

<N= 90                  So marked.

70 + <M + 90 = 180

<M = 20 degrees.

<X = <M

<X = 20

Answer:

The Answer is C 165$

Step-by-step explanation:

Final price = original price x ((100 - % off) / 100)

final price = 220 x ((100 - 0.25) / 100)

Answer:

a=10

Step-by-step explanation:

Using Pythagoras theorem

[tex] {(a + 2)}^{2} + {( a- 5)}^{2} = {(a + 3)}^{2} [/tex]

[tex] {a}^{2} + 4a + 4 + {a}^{2} - 10a + 25 = {a}^{2} + 6a + 9[/tex]

simplify:

[tex] {a}^{2} - 12a + 20 = 0[/tex]

(a-2)(a-10)=0

hence a= 2 or a=10 however we must reject 2 as the lengths of the triangle cannot be negative eg. the side for a-5 will be equivalent to -3 cm which is not possible for lengths to become negative

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.

Answer:

The average speed is 62.96mph. Hope this helps! :)

Step-by-step explanation:

heightAnswer:

12

Step-by-step explanation:

(x representing the smallest size)

x + 4x = 60

5x = 60

x = 12

the height is 12

to confirm:

12 x 4 = 48

48 + 12 = 60

Answer:

  (d)  Adjacent angles share a side

Step-by-step explanation:

Adjacent angles share a side and a vertex. They have no interior points in common.

__

In the attachment, 'a' and 'b' are adjacent angles.

Step-by-step explanation:

a,it doesn't have variable

b,2x-3=2

2x=2+3

2x=5

2x/2=5/2

x=5/2

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.

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: 3 minutes 50.51 seconds

Step-by-step explanation:

10/100 of a second = 0.1 second

So the American's time = 3 minutes 50.61 second - 0.1 second

= 3 minutes 50.51 seconds

Answer:

27+72x

Step-by-step explanation:

ous5ourskhrskysr

Answer:

12 < x < 13

Step-by-step explanation:

Pythagorean Theorem: a^2 + b^2 = c^2

a is 6, b is 11, c is x.

We have to first replace the items in the Theorem, do the exponents, then add.

1) 6^2 + 11^2 = x^2

2) 36 + 121 = x^2

3) 157 = x^2

To finally solve it we must square root everything

4) sqrt(157) = sqrt(x^2)

5) x = 12.52

So x has to be between 12 and 13

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.

Answer:

(4xc)-6=2 then c=2

Step-by-step explanation:

because we knew that we had to do 6+2=8 so then 8 divided by 4 = 2 so the answer would be 2!

Answer:

(4c) - 6 = 2

4c - 6 = 2

c = 2

Both equations will work.

Step-by-step explanation:

"The product of 4 and a number" is the same as 4 times that number.

Since the missing number is to be said as c, the correct term for this is 4c

6 less than (4c) is the same as (4c) - 6

We have the left-hand-side of the equation as (4c) - 6

The right-hand side is 2

Now, we have to solve for c.

-Chetan K

Answer:

3p²+2p-8

3p²+6p-4p-8

3p(p+2)-4(p+2)

= (3p-4)(p+2)

Answer:

As x increases, y increases, then y decreases, then y increases again.

Step-by-step explanation:

The relationship between x and y in the graph is as x increases, y increases, then y decreases, then y increases again.

Option C is the correct answer.

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

The graph has the following coordinates.

(0, 0), (3, 3), (4, 0), (5, -4), and (9, 0)

Now,

We see that,

From (0, 0) to (3, 3),

y increases as x increases.

And,

From (3, 3) to (4, 0).

y decreases as x increases.

And,

From (4, 0) to (5, -4).

y decreases as x increases.

And,

From (5, -4) to (9, 0).

y increases as x increases.

Thus,

The relationship between x and y in the graph is as x increases, y increases, then y decreases, then y increases again.

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#SPJ2

Answer:

= 114/8-56/8

= 14.25-56/8

= 14.25-7

= 7.25

Step-by-step explanation:

This is Bedmas so remember brackets, exponents, addition, multiplication and subtraction.

I hope this helps!!

Answer:

46/8 is the answer

hope it help

$3.13 is the answer like it please thanks

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