find the coordinates of the point where the graph of the following function intersects the x axis y=x^2-5x+6/x-2

Find The Coordinates Of The Point Where The Graph Of The Following Function Intersects The X Axis Y=x^2-5x+6/x-2

Answers

Answer 1

[tex]\stackrel{\textit{x-intercept occurs when y = 0}}{\stackrel{y}{0}=\cfrac{x^2-5x+6}{x-2}}\implies 0=x^2-5x+6\implies 0=(x-3)(x-2) \\\\\\ x= \begin{cases} 3\\ 2 \end{cases}\qquad \qquad \stackrel{coordinates}{(3~~,~~0)\qquad (2~~,~~0)}[/tex]


Related Questions

The lengths of the sides of a triangle are in the extended ratio 5: 9:10. The perimeter of the triangle is 120 cm. What are the lengths of the sides?

Answers

Answer:

Step-by-step explanation:

The diagram shows part of a regular polygon.

Answers

The given polygon will have 10 sides in total.

Given information:

The diagram shows part of a regular polygon. The sides of this polygon subtend angles of 36° at the center of the polygon.

Let the polygon has n number of sides. Now, the polygon is regular. So, its each side will be equal and it will make equal angle with the center.

The sum of angles made by all the sides will be equal to 360 degrees. So, the number of sides n can be calculated as,
36 x n = 360
n = 360/36
n = 10

Therefore the polygon will have 10 sides in total.

2.The table below shows the relationship between the number of tickets sold for a concert and a theater's net profit, in dollars. Determine the rate of change and what the rate of change
represents in this situation.
Concert Profit
Tickets Net Profit
Sold
($)
150
-500
200
0
225
250
400 2,000
The rate of change is 1/10. This means every 1 ticket sold produces a net profit of $10.00.
The rate of change can not be determined from the table above.
The rate of change is 10. This means every 1 ticket sold produces a net profit of $10.00
The rate of change is 10. This means every 10 tickets sold produces a net profit of $1.00.

Answers

The true statement about the rate of change of the table is (c) The rate of change is 10. This means every 1 ticket sold produces a net profit of $10.00

How to determine the rate of change

From the table, we have the following ordered pairs

(x,y) = (150,-500) and (200,0)

The rate (r) is then calculated as:

[tex]r = \frac{y_2 -y_1}{x_2 -x_1}[/tex]

So, the equation becomes

[tex]r = \frac{0 + 500}{200 - 150}[/tex]

Evaluate the difference and the sum

[tex]r = \frac{500}{50}[/tex]

Evaluate the quotient

[tex]r = 10[/tex]

The value of the rate represents that for every 1 ticket sold, there is a net profit of $10

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2p^1/3 =6 find the value of p
HELP ME PLEASE ​

Answers

Answer: 27

Step-by-step explanation:

The value of p is 27. To find the value of p, we need to isolate p on one side of the equation. To do this, we can follow the following steps.

Step 1: Get rid of the exponent by raising both sides of the equation to the power that will cancel out the exponent.

For the term [tex]2p^{1/3}[/tex], we need to raise both sides to the power of 3 to cancel out the exponent 1/3:

[tex](2p^{1/3})^3 = 6^3[/tex]

Step 2: Simplify both sides:

8p = 216

Step 3: Now, isolate p by dividing both sides of the equation by 8:

p = 216 / 8

p = 27

So, the value of p is 27.

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The following options are safe alternatives for smoking tobacco products: Please help make sure you're right

A. Vaping

B Juuling

C. Snuff/ Dip

D. Hookahs

E. None of these options

Answers

None their all bad for you

Answer:

E

Step-by-step explanation:

Because none of this are safe,

Vaping contains oil and can fill your lungs with,

Juuling causes cancer more then other products

Snuff is drugs and can cause addiction and worse problems

Hookahs is a long glass with a hose to inhale a steam,that comes from a liquid with a flavorings paste, that is heated with charcoal.

So the answer is mostly like E or D

Your realized income is $2,412. 54/month. How much discretionary monies do you have each month?

Answers

Because you want to set aside three months' worth of fixed expenses for an emergency fund, the sum saved each month comes to [tex]$416.70.[/tex]  

What is interest?

In mathematics, interest is the fee or payment made for using borrowed funds; it is typically stated as a percentage of the principal sum. Interest can be divided into two categories.

Simple Interest is computed solely using the principal of the debt or investment. I = PRT, where P is the capital, R is the interest rate per period, and T is the time period, is the formula for simple interest.

Given,

The monthly wage is  [tex]$2,415.64[/tex] dollars.

After expenses, discretionary funds equal 54% of monthly revenue.

Fixed monthly expenses equal [tex](100–54%)%[/tex] of overall monthly income.

[tex]= 46%[/tex]  of monthly gross revenue

[tex]= 0.46 × 2,415.64[/tex]

[tex]= $ 1,111.1944[/tex]

Thus, the fixed expenditures for three months equal three times the fixed expenses for one month.

[tex]= 3 × 1,110.5544 = $ 3331.6632[/tex]

This money will be conserved in 8 months, so

As a result, the monthly savings equal 1/8 of [tex]$ 3331.6632[/tex] .

[tex]= $ 416.6979 ≈ $ 416.70[/tex]

Therefore, Because you want to set aside three months' worth of fixed expenses for an emergency fund, the sum saved each month comes to [tex]$416.70[/tex]  .

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The above question is incomplete, the complete question is given below:

Your realized income is $2,415.64/month, and 54% are discretionary monies. If you want to save 3 months of fixed expenses for an emergency fund, how much must you save each month to fund it in 8 months

Which of the following is equivalent to the sum of
the expressions a2 - 1 and a +1 ?
A) a²ta
B) 03-1
C) 2a2
D) 23

Answers

Answer:I think it’s A sorry if it’s wrong.

Triangle A B C is shown. Angle A B C is a right angle. An altitude is drawn from point B to point D on side A C to form a right angle. The length of A D is 5 and the length of B D is 12.
What is the length of Line segment B C, rounded to the nearest tenth?

13.0 units
28.8 units
31.2 units
33.8 units

Answers

Answer: 31.2

Step-by-step explanation:

The best answer here seems to be 31.2

I'd check some other answers though too, im abismal at math

V is the midpoint of WZ and X is the midpoint of WY

If YZ=s–41 and VX=s–51, what is the value of s?

Answers

Answer: 61

Step-by-step explanation:

The perimeter of a rectangle is 64 inches. Remember, The perimeter of a rectangle is 2 times the sum of the length, L and width. If the width of the rectangle is 8 inches.
Find equation

Answers

Perimeter = 2(L) + 2(w)

64 = 2(L) + 2(8)

64 = 2(L) + 16

Subtract 16 from both sides

48 = 2(L)

Divide both sides by 2

L = 24


The length is 24 inches

please help me on this ​

Answers

Answer:

  74°

Step-by-step explanation:

There are a couple of different angle relations that can be used to solve this problem. The measure of an inscribed angle is half the measure of the arc it subtends. The measure of an exterior angle of a triangle is equal to the sum of the remote interior angles. The measure of an exterior angle at the intersection of secants is half the difference of the arcs the secants subtend.

__

Using the secant relation, we find ...

  ∠Y = 1/2(RS -VX)

  2×∠Y +VX = RS

  2(28°) +18° = 74° = arc RS

__

Using the relations involving interior and exterior angles of a triangle, we have ...

  ∠S = 1/2(VX) = 1/2(18°) = 9°

  ∠RVS = ∠S +∠Y = 9° +28° = 37°

  arc RS = 2×∠RVS = 2(37°) = 74°

Find the area of the figure to the nearest thousandth.

Answers

the area of the figure is 119.39ft

The figure shows the dimensions of a metal sign. The shaded part of the sign is painted blue.

What is the area of the sign that is painted blue?

Answers

Step-by-step explanation:

the area of a triangle is

baseline × height / 2

we have here 2 triangles : the larger, outer shaded one, and the smaller, inner white one.

to get the area of the shaded part, we need to calculate the area of the large triangle and subtract the area of the smaller triangle.

large area :

12 × 15 / 2 = 6 × 15 = 90 ft²

small area :

8 × 10 / 2 = 4 × 10 = 40 ft²

the shaded area is

90 - 40 = 50 ft²

someone show equation form

Answers

Answer/Step-by-step explanation:

[tex]\begin{gathered}\boxed{\begin{array}{c|c}\boxed{\bf Form} &\boxed{\bf Equation} \\ \sf Slope\: intercept\:form &\sf y=mx+b \\ \sf Intercept\:form &\sf \dfrac{x}{a}+\dfrac{y}{b}=1\\ \sf Normal\:form &\sf xcos\omega+ysin\omega=p \\ \sf Two\: point\:form &\sf y-y_1=\left(\dfrac{y_2-y_1}{x_2-x_1}\right)(x-x_1)\\ \sf Point\:slope\:form &\sf y-y_1=m(x-x_1) \\ \sf Standard\:form &\sf Ax+By+C=0 \end{array}}\end{gathered}[/tex]

[RevyBreeze]

Answer:

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Step-by-step explanation:

Peter spent 3/5 of his money and was left with $60. 1. How much money did he have at first2. Express what he remained with as a fraction of what he had first

Answers

60 / 2 = 30

30 * 5 = 150

he had $150 at first

60, the amount he was left with was 2/5 or 40% of his original amount

On the map below, all numbered streets run parallel to each other. Both 3rd and 4th streets are intersected by King Avenue.

A delivery driver is driving around town and has noticed that every time he turns, it creates an angle. What are the measures of Angles X, Y, and Z on the map?

In your answer, give the measures of angles X, Y, and Z, and explain how you calculated each one.

Answers

X=105°

Y=105°

Z=105°

let the angle below 75° which is the 4th Street be A

75°+A=180°[being adjacent angle]

A=105°

X=A[Verticall opposite angle]

Z=A[Corresponding angle]

Y=X[alternate angle]

pls help i need this homework twiz

Answers

Answer:

cant see

Step-by-step explanation: i can't see the answers off i cant see.

Can Someone give me step by step explanation to this

Answers

Answer: 24cm^2

Explanation:

If you split the shape into two shapes; a square and a rectangle you can find those areas and add them.
So if you split it up point A you have those two shapes.
4x4=16 for the big square.
2x3=6 for the small rectangle.
Add the two values 16+6=24cm^2 :)

how do i find out the quickest on average group in a cumulative frequency graph

Answers

This is the way I do it first I find averages from a cumulative frequency

A cumulative frequency diagram is a good way to represent data to find the median , which is the middle value. To find the median value, draw a line across from the middle value of the table.


Do question 1 and 2 please

Answers

Answer:

1. line segment is S

2. line segment is PR

Hope it helps!!!brainliest pls!!!

An object is dropped from the top of Pittsburgh's USX Towers, which is 841 feet tall. The
height of the object after t seconds is given by the function h(t) = 841 - 16t?
To the nearest whole number, estimate how many seconds until the object hits the ground.

Answers

Answer:

Step-by-step explanation:

h(t) = 841 - 16t

[Is this written correctly?  The time is usually t^2, not t.  I'll solve with the written equation, but check the equation]

The height at ground level is 0, so we want the value of t when h(t) = 0:

0 = 841 - 16t

-16t = -841

t = 53 seconds

One can also graph this formula and find the time to hit the ground at the point the line intersects the x axis (x = 0).

====

If the equation should have read h(t) = 841 - 16t^2, solve it as above, setting h(t) = 0.

t = (29/4) seconds

This can also be graphed.

An inscribed angle in the diagram is
EDG
ABF
HFA
CDE

Answers

Answer:

I am pretty sure it is B Angle ABF

Step-by-step explanation:

Because an inscribed angle is a angle formed in the interior of a circle when two chords intersect on the circle

pam was able to bake 18 loaves of bread per hour. at this rate how many loaves of bread will she make after 25 Hours

Answers

Answer:

450

Step-by-step explanation:

18x25

Multiply amount per hour by total hours:

18 x 25 = 450 loaves total

-x+y=4 6x+y=-3
what are the coordinates

Answers

Answer:

6x-y-4=0 is the linear coordinates.

Step-by-step explanation:

hope this helps.

How can you write the expression 7(b – 2) in words?
A.
two subtracted from the quotient of seven divided by b
B.
seven added to difference of b minus two
C.
the quotient of seven divided by b minus two
D.
two subtracted from seven times b
E.
the product of seven and the difference of b minus two

Answers

Solution:

Let's verify each option to see which is correct.

Option A

Two subtracted from the quotient of seven divided by b.

=> 7/b - 2 = 7(b - 2)                                                                [False]

Option B

Seven added to difference of b minus two.

=> 7 + (b - 2) = 7(b - 2)                                                           [False]

Option C

The quotient of seven divided by b minus two.

=> 7/b - 2 = 7(b - 2)                                                               [False]

Option D

Two subtracted from seven times b

=> 7b - 2 = 7(b - 2)                                                                [False]

Option E

The product of seven and the difference of b minus two

=> 7 x (b - 2) = 7(b - 2) = 7(b - 2)                                           [True]

Option E is correct.

Answer:

Option E

Step-by-step explanation:

Let's check

Difference of b-2 It has multiplied with 7

So the expression becomes 7(b-2)

I NEED HELP NOW PLS………………………………………..

Answers

Second from the top is correct I think

could someone tell me the answer to this please? much appreciated​

Answers

Check the picture below.

[tex]\cfrac{\stackrel{small}{S}}{\underset{Large}{L}}~~ = ~~\cfrac{\sqrt[3]{30}}{\sqrt[3]{240}}\implies \cfrac{S}{L}=\sqrt[3]{\cfrac{30}{240}}\implies \cfrac{S}{L}=\sqrt[3]{\cfrac{1}{8}}\implies \cfrac{S}{L}=\cfrac{\sqrt[3]{1}}{\sqrt[3]{8}} \\\\\\ \cfrac{S}{L}=\cfrac{1}{2}\implies \boxed{2S=L}~\hfill \stackrel{assuming~S=2.3}{2(2.3)=L}\qquad \stackrel{assuming~S=23}{2(23)=L}[/tex]

on a biased dice, the probability of getting a 6 is 4/5
the dice is rolled 500 times
how many sixes would you expect to roll?

Answers

Answer:

400

Step-by-step explanation:

Based on the information given.

4/5 x 500

0.8 x 500

400

I hope this helps!

**PLEASE I NEED THIS ASAP I WILL GIVE THE BRAINLIEST**

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match the expressions given in words with their algebraic expressions.
On
LIOT
-59
{ +59
5(549)
5+39
5(85)
the quotient of 5 divided by a
minus the product of 5 and 9
>
the sum of 5 and the
product of 3 times a
the product of 5 and the
difference of q minus 5
the quotient of q divided by 5
plus the product of 5 and 9

Answers

Answer:

the quotient of 5 divided by q minus the product of 5 and q --> 5/q - 5q

the sum of 5 and the product of 3 times q --> 5 + 3q

the product of 5 and the difference of q minus 5 --> 5(q - 5)

the quotient of q divided by 5 plus the product of 5 and q --> q/5 + 5q

Step-by-step explanation:

The correct tiles to the correct boxes to complete the pairs are,

1) The quotient of 5 divided by q minus the product of 5 and q

⇒ 5/q - 5q

2) The sum of 5 and the product of 3 times q,

⇒ 5 + 3q

3) The product of 5 and the difference of q minus 5,

⇒ 5(q - 5)

4) The quotient of q divided by 5 plus the product of 5 and q,

⇒ q/5 + 5q

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression are,

1) The quotient of 5 divided by q minus the product of 5 and q

2) The sum of 5 and the product of 3 times q,

3) The product of 5 and the difference of q minus 5,

4) The quotient of q divided by 5 plus the product of 5 and q,

Now,

The correct mathematical expression are,

1) The quotient of 5 divided by q minus the product of 5 and q

⇒ 5/q - 5q

2) The sum of 5 and the product of 3 times q,

⇒ 5 + 3q

3) The product of 5 and the difference of q minus 5,

⇒ 5(q - 5)

4) The quotient of q divided by 5 plus the product of 5 and q,

⇒ q/5 + 5q

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What is the remainder when x2 + 5x - 24 is divided by x - 6?

Answers

Answer:

42

Step-by-step explanation:

x - 6= 0 → x = 6

we put this value in x² + 5x -24

6² + 5(6) - 24 = 36 + 30 - 24 = 42

there is another way too. but it's longer. you can see it in picture.

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