Find the slope and y-intercept of the line in each graph.

You can use the graph given to form the equation and using the fact that as the denominator goes towards zero, the fraction outputs immensely big magnitude numbers(tending to arbitrarily large numbers)

The equation for the given graph can be:

[tex]f(x) = \dfrac{1}{(x-1)} - 2[/tex]

There are many tools we can use to find the information of the relation which was used to form the graph.

A graph contains data of which input maps to which output.

Analysis of this leads to the relations which were used to make it.

For example, if the graph of a function is rising upwards after a certain value of x, then the function must be having increasingly output for inputs greater than that value of x.

If we know that the function crosses x axis at some point, then for some polynomial functions, we have those as roots of the polynomial.

Since the graph goes to negative infinity as it comes from left side of 1 towards 1, and goes to positive infinity as it comes from the right side of 1, thus, there might be x-1 in denominator which takes the magnitude to infinite and sign to + if x > 1 and to - if x < 1

Now since the graph intersects the y axis at y = -3, thus, we need the function to be such that putting x = 0 in the function  outputs -3 as value of the function.

Thus,

[tex]f(0) = -3[/tex]

Since putting 0 in [tex]\dfrac{1}{(x-1)}[/tex] gives -1 as answer, we have to subtract 2 more.

Thus, we have:

[tex]f(x) = \dfrac{1}{x-1} - 2[/tex]

Checking it, as the graph intersects the x axis at 1.5, putting f(x) = 0 should give us x = 1.5,

[tex]f(x) = \dfrac{1}{x-1} - 2\\\\0 = \dfrac{1}{x-1} - 2\\\\2(x-1) = 1\\\\x = 1 + \dfrac{1}{2} = 1.5[/tex]

It is correct.

Thus,

The equation for the given graph can be:

[tex]f(x) = \dfrac{1}{(x-1)} - 2[/tex]

Its graph is attached below.

Learn more about graphing functions here:

https://brainly.com/question/17056821

Answer:

x = 24.571

Step-by-step explanation:

A circles angle is 360 degrees, so you can work out x by equalling everything to 360

360 = 5x + 12 + 9x + 4

360 = 14x + 16

360 - 16 = 344

344 = 14x

344 ÷ 14 = 24.571

x = 24.571

So the smaller angle is 225°

And the bigger angle is 135°

(I'm guessing shape isn't to scale)

Answer:

the answer is 5.123

Step-by-step explanation:

have a good day <3

Answer:

5.123

Step-by-step explanation:

Just need to move the decimal two times to the left because there are two zeros.

Answer:

ooffffffffffff have a good day/night lol

Answer:

What?? lol

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

4 * 3 = 12

Answer:

z = -2

Step-by-step explanation:

lol okay If it said that

Answer: x = 0

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

Answer:

1.366km

Step-by-step explanation:

The height of the mountain is [tex]3.34Km[/tex]

A diagram of right angle triangle PBA is attached below which describe the situation as given in the question.

Let us consider that H represent the height of mountain.

Angle of elevation at point A and C shown in the diagram.

Apply tan function in triangle CBP.

            [tex]tan(35)=\frac{H}{x} \\\\H=xtan(35)=0.7x.........(1)[/tex]

Apply tan function in triangle ABP.

           [tex]tan(30)=\frac{H}{x+1}\\ \\(x+1)tan(30)=H\\\\(x+1)=\sqrt{3}H\\ \\x=\sqrt{3}H-1........(2)[/tex]

Substituting the value of equation 2 into equation 1.

      [tex]H=0.7(\sqrt{3}H-1)\\\\H=1.21H-0.7\\\\0.21H=0.7\\\\H=0.7/0.21=3.34Km[/tex]

Hence, The height of the mountain is [tex]3.34Km[/tex]

Learn more about the right angle triangle here:

https://brainly.com/question/64787

Answer:

50/x

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

cross multiply:

50*x = 20*20

50x=400

divide by x (50)

50x/50 = 400/50

x=8

Answer:

a + b = 93.8

plz follow me

hope it help u

Answer:

she is left with 4.67 LB of flour.

Step-by-step explanation:

7 divided by 3 = 2.3333333

2.3333333 x 2 = 4.67

Answer:

Y=5\4x

Step-by-step explanation:

gradient is given by ∆y/∆x

g=5/4

Y=MX+C

15=5/4(12)+c

15=15+c

C=0

y=mx+c

y=5\4x

Answer:

Your answer

50.4 $

Mark it as Brainlist. Follow me for more answer.

Step-by-step explanation:

Answer:

0.2 pounds of rice

Step-by-step explanation:

To find how much rice was used by each person, divide 22 by 110

22/110

= 0.2

So, each person used 0.2 pounds of rice

Answer:

z = 6

Step-by-step explanation:

[tex]8z-36=2z\\6z-36=0\\6z=36\\z=6[/tex]

Answer:

x=8+√59 or x=8−√59

Step-by-step explanation:

For this equation: a=1, b=-16, c=5

1x2+−16x+5=0

Step 1: Use quadratic formula with a=1, b=-16, c=5.

x=

−b±√b2−4ac

2a

x=

−(−16)±√(−16)2−4(1)(5)

2(1)

x=

16±√236

2

x=8+√59 or x=8−√59

Answer:

3 2/3

Step-by-step explanation:

Answer:

-4/2 or -2/1

Step-by-step explanation:

the second answer is just simplified

Answer:

-4/2

Step-by-step explanation:

count how many times it goes up or down, then count how many times it takes to reach a point.

it goes down 4 times and it slides over to the right 2 times. the line is going down so its going to be negative

Answer:

[tex]x = 8.5[/tex] and [tex]y = 5.3[/tex]

Step-by-step explanation:

Given

[tex]x = cupcakes[/tex]

[tex]y = brownies[/tex]

From the first statement:

[tex]2.75x + 1.25y = 30[/tex]

From the second statement:

[tex]x + y \le 14[/tex]

Required

Solve graphically

I've written the equations (above) and they are:

[tex]x + y \le 14[/tex]

[tex]2.75x + 1.25y = 30[/tex]

See attachment for graph.

The blue line represents [tex]2.75x + 1.25y = 30[/tex]

The shaded part of the graph represents [tex]x + y \le 14[/tex]

From the graph, the solution is:

[tex]x = 8.5[/tex]

[tex]y = 5.3[/tex]

Answer:

20 cm^3

Step-by-step explanation:

The volume of a rectangular prism is V=length*width*height.  Therefore, to find the volume, plug in the values into the equation

V = (2/3)*5*6

V = 20 cm^3

Answer:

20.5+10x

Step-by-step explanation:

Answer:

ima say 43

Step-by-step explanation:

its hard but look the caculate it

Step-by-step explanation:

so pretty much y= is the line that goes up and it has its own numbers right. the x= is the line that goes at the bottom right right

Answer:

2.25 I think

Step-by-step explanation:

Answer:

to find the answer out you need to find out 2/3 of $4.50 and to do that divide it by three. once you have figured that out multiply it by 2 and you will get your answer

Step-by-step explanation:

see above

Answer: -3π/2

Step-by-step explanation:

The unit circle is tricky, but here are some things to know:

              - To convert from radians to degrees, multiply by 180/π

              - To convert from degrees to radians, multiply by π/180

              -If the angle is negative, switch the signs of the axis above.

The information above is all you need to answer the above question, but if you want/need anything else on the unit circle, just let me know.