Answers
Answer:
(3, 6)
Step-by-step explanation:
1. If any factors can be cancelled out, then this indicates that there are holes in the graph.
2. To find the x-coordinate of the hole, set the factor equal to zero and solve for x.
3. Find the y-coordinate by substituting the x-coordinate back into the "reduced" function.
Here are the steps:
[tex]f(x) = \dfrac{ { x }^{ 2 } -9 }{ x-3 }[/tex]
Factor the top part of the function
x² - 9
Since both terms are perfect squares, factor using the difference of squares formula, a² - b² = (a + b) (a - b) where a = x and b = 3
(x + 3) (x - 3)
Now that we have the top part of the function factored, we can solve the rest of the problem:
[tex]f \left( x \right) = \dfrac{ \left( x+3 \right) \left( x-3 \right) }{ x-3 }[/tex]
Set the factor "x - 3" equal to zero and solve for x
x - 3 = 0
Add 3 to both sides
x - 3 + 3 = 0 + 3
Simplify
x = 3
Now we need to solve for "y"
[tex]f \left( x \right) = \dfrac{ \left( x+3 \right) \left( x-3 \right) }{ x-3 }[/tex]
We change "f(x)", to "y"
[tex]y = \dfrac{ \left( x+3 \right) \left( x-3 \right) }{ x-3 }[/tex]
The two "x - 3" cancel out
y = x + 3
Substitute the x-value into the equation
y = 3 + 3
Add 3 and 3
y = 6
Now that we have our coordinates, we can write it as:
(x, y) = (3, 6)
So the answer is (3, 6)
Related Questions
There are 120 Calories in a 34-cup serving of cereal. How many Calories are there in 6 cups of cereal
Answers
Answer: 960 calories in 6 cups of cereal
Step-by-step explanation:
Answer:
960 calories ✌️✌️.. . ..Ediths bird feedercontains 4 1/2 pounds of birdseed and decreases by 3/4 pound each day Do you los Verdes peter contains 4 1/2 pounds of birdseed and decreases by 3/4 pound each dayJune's birdfeeder contains 3 pounds of birdseed and decreases by 1/4 pound each day if need a person as remove seeds from the birdfeeder how many days will it take for Edith and Junes birdfeeders to contain the same amount of bird seed
Answers
Answer:
It will take 3 days for their bird feeders to contain the same amount of bird seed
Step-by-step explanation:
Let the number of days it will take their bird feeder to contain the amount of bird seed be x
For Edith, the amount of birdseeds that will be left after x days will be;
4 1/2 - 3/4(x)
= 9/2 - 3x/4
For June, the amount of birdseeds that will remain after x days will be;
3 - 1/4(x)
= 3 - x/4
Since after x days, the amount of birdseeds will be equal;
Mathematically;
9/2 - 3x/4 = 3 - x/4
Let’s work with decimals to make things easier;
4.5 - 0.75x = 3 - 0.25x
4.5 -3 = -0.25x + 0.75x
1.5 = 0.5x
x = 1.5/0.5
x = 3
what is the distance between the two points A(6,-2) and B(-2,4)
Answers
Answer:
[tex]d = 10[/tex]
Step-by-step explanation:
[tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Simply plug in the 2 coordinates into the distance formula to find distance d:
[tex]d = \sqrt{(-2-6)^2+(4-(-2))^2}[/tex]
[tex]d = \sqrt{(-8)^2+(4+2)^2}[/tex]
[tex]d = \sqrt{64+(6)^2}[/tex]
[tex]d = \sqrt{64+36}[/tex]
[tex]d = \sqrt{100}[/tex]
[tex]d = 10[/tex]
Answer:
10 units
Step-by-step explanation:
( x1, y1) =A(6,-2)
(x2, y2) =B(-2,4)
Using distance formula,
AB ^2 = (x2-x1) ^2 +(y2-y1) ^2
=(-2-6)^2 +(4+2)^2
=64+36
=100
Therefore, AB=10 units
At a basketball game, 21% were supporting the visiting team. If total number of people attending the game was 1300, how many people were supporters of the home team?
Answers
Answer:
1300x0.21= 273 people
1300-273= 1027 people are supporters of the home team
Step-by-step explanation:
Answer:
1027
Step-by-step explanation:
21% 1300=273
1300-273=1027
Regular exercise can help a person lower their resting heart rate. Suppose an individual's resting heart rate, in beats per minute, is modeled by the function f(x) = –0.1x 3 + 0.6x 2 + 85 after x weeks of regular exercise. How many weeks of exercise are necessary to lower the individual's resting heart rate below 70 beats per minute?
Answers
Answer:
pienso que el ejercicio no debería de regularse por nada si no por tu condición física ama lo que miras en el espejo diariamente pero promete a esa persona que se puede ver mejor. y cuando lo haces con amor a ti mismo y también a tu pareja por qué no te vas a sentir espectacular.
Answer:
9 weeks
Step-by-step explanation:
edge
Eight students in a small class made the test scores shown in the table. What was the mean absolute deviation for the class?
Answers
The mean absolute deviation for the class is, 10.96
What are the types of representing data?Data refers to the elements that make up persons, things, events, and ideas. It could be an integer, a title, or anycast. Data must be tabulated after collection in order to study their prominent characteristics. The presentation of data is the name given to such a configuration.
Bar Chart, Histogram, Line Graph, Pie Chart, Frequency Distribution Table.
Given,
Student Score
Tom 89
Jon 72
Sue 98
Jill 78
Zeke 62.
Therefore, The mean of the data set is,
= 399/5
= 79.8.
Now,
Total of data value - mean = 54.8
54.8/5
= 10.96
Q. Five students in a small class made the test scores shown in the table.
Student Score
Tom 89
Jon 72
Sue 98
Jill 78
Zeke 62
What was the mean absolute deviation for the class?
A) 10.96
B) 35.44
C) 52.87
D) 79.80
learn more about mean absolute deviation here :
https://brainly.com/question/10528201
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In a class full of men and women, 4/9 of the class are women. What is the ratio of men to women in its simplest form?
Answers
Answer:
5:4
Step-by-step explanation:
Since 4/9 of the people are women, that leaves 5/9 as men.
Three consecutive integers have a sum of -21. Which equation can be used to find the value of the three numbers?
X+X+ X=-21
LS
X+ 2x + 3x = -21
O x+(x+1)+(x+2) = -21
Ox+(x+2)+(x+4)=-21
Mark this and return
Save and Exit
Next
Submit
Answers
Answer: x + (x + 1) + (x + 2) = -21
Step-by-step explanation:
Will Mark Brainliest if show work. FAST!! PLSS? 6x-4=4x-20 Solve for X
Answers
Answer:
x= -8
collect like term than divide both sides
6x-4x = -20+4
2x= -20+4
2x=-16
x= -8
Answer:
x = -8Step-by-step explanation:
6x-4=4x-20 Solve for X
6x-4x = -20+4
2x = -16
x = -8
proof
6(-8) - 4 = 4(-8) - 20
-52=-52
1) When is a relation a function? What are some
ways to tell if a relation is a function?
Answers
Answer:
How do you figure out if a relation is a function? You could set up the relation as a table of ordered pairs. Then, test to see if each element in the domain is matched with exactly one element in the range. If so, you have a function!
Step-by-step explanation:
A baking class had 45 students on Monday and only 32 students on Tuesday. What was the change in percent? (Round to the nearest hundredths)
Answers
Answer:
28.89 percent
Step-by-step explanation:
45-32 is 13 and 13 is 28.89 percent of 45
Hope this helped!
I need help with this equation it's confusing
Answers
3 - 4x= -89 is the equation i hope it's right
3 - 4x = -89 or
4x - 3 = -89 or
(3-4) x = -89 or
(4-3) x = -89...
The grades on a history midterm at Gardner Bullis are roughly symmetric with μ = 69 μ=69mu, equals, 69 and σ = 3.5 σ=3.5sigma, equals, 3, point, 5. Ishaan scored 65 6565 on the exam. Find the z-score for Ishaan's exam grade. Round to two decimal places.
Answers
Answer:
-1.14
Step-by-step explanation:
The given information in statement is
mean=μ=69
standard deviation=σ=3.5
Let X be the Ishaan's exam score
X=65
The Z score can be computed as
[tex]z=\frac{x-mean}{standard deviation}[/tex]
[tex]z=\frac{65-69}{3.5}[/tex]
z=-1.1429
z=-1.14 (rounded to two decimal places).
Thus, the computed z-score for Ishaan's exam grade is -1.14.
Answer:
-2.67
Step-by-step explanation:
khan academy
Solve for x. (Type in the number ONLY)
Answers
What is the justification for each step in the solution of the equation 2/3x-1/3=2(x+2)
Answers
Answer:
-13/4
Step-by-step explanation:
FREE BRAINLIEST
Write the inequality that matches the situation. The sum of twice a number and 5 is at most 15.
Answers
Answer:
See Below
Step-by-step explanation:
Ok, so you got:
The sum of twice a number and 5 is at most 15
Sum means we are going to add two things together, soo . .
___+___
Is at most means we are going to have:
___+___≤ ___
Twice a number and 5= 2x(a variable) + 5
(I'm going to use a as my variable, use whichever you like or are given)
2a + 5 ≤ __
Which will result in being greater than or equal to 15
So, your final equation would be:
2a + 5 ≤ 15
The equation of the line in this graph is y=____ x + ____
Answers
A side of the triangle below has been extended to form an exterior angle of 118°. Find the value of x.
Answers
Answer:
62 degrees
Step-by-step explanation:
the total angle of a straight line like this hypotenuse would be 180. So it's 180-118=62
Quick algebra question 15 points and will mark brainliest if correct
Answers
Answer:
I belive it would be c
Step-by-step explanation:
because if you read the question it says the lowest point altho they are equale it still makes sence to put c
A submarine was twenty-five feet below the surface of the water and descended an
additional twenty-two and a half feet. Eventually, the submarine ascended ten feet
towards the surface of the water. What is the location of the submarine in the
water?
-37 feet below the surface of the water.
-57.5 feet below the surface of the water.
- 12.5 feet below the surface of the water.
-37.5 feet below the surface of the water.
Answers
Answer:
37.5
Step-by-step explanation:
you take 25 + 22.5 = 47.5 then you -10 and you get 37.5! Hope this helps!
the difference of eight and twice a number
Answers
Answer:
8-2x
Step-by-step explanation:
I need help to change the subject of the formula to W
Answers
Answer:
[tex]w=\frac{h}{m} -\frac{3}{3}[/tex]
I hope this is what you were asking for :)
The equation of a line is -2 x+ 5y = -20.
What'is the x-intercept of the line?
Answers
Answer:
-20= 5y+ -2
Step-by-step explanation:
all you have to do it flip it
Delicious Doing caterers events at a flat rate $500 plus $100 per hour after the first 2 hours. Cathy's Catering has a flat rate of $620 per event plus $70 per hour after the first three hours. What is the most amount of hours you could hire Cathy's Catering for and it cost less than Delicious Doings? Write an inequality that could be used to solve this problem
Answers
Answer:
3 hours
Step-by-step explanation:
Let the number of hours worked = x
Delicious Doing caterers events at a flat rate $500 plus $100 per hour after the first 2 hours.
$500 + $100 × x
500 + 100 × 1
After the first 2 hours = $500 + $100
= $600
After the first 3 hours = $500 + $100 × 2
= $700
Cathy's Catering has a flat rate of $620 per event plus $70 per hour after the first three hours.
$620 + $70 × x
620 + 70x
After the first 3 hours
= $600 + $70
= $670
What is the most amount of hours you could hire Cathy's Catering for and it cost less than Delicious Doings?
The Inequality is given as:
Cathy's Catering for < Delicious Doings
620 + 70x < 500 + 100x
Collect like terms
620 - 500 < 100x - 70x
120 < 30x
120/30 < x
4 < x
Therefore, the most amount of hours the most amount of hours you could hire Cathy's Catering for and it cost less than Delicious Doings is 3 hours
A 32-cup container of disinfectant costs $19.20. What is the price per quart?
Answers
Then $19.20 divided by 8 is 2.4
Answer: $2.4 per quart
Hope it works! Good luck!
simplify 6/2√3+√6 + √6/√3+√2 -4√3/√6-√2
Answers
[tex]\frac{6}{2\sqrt{3}} + \sqrt{6} + \sqrt{6}\sqrt{3} + \sqrt{2} - \frac{4\sqrt{3}}{\sqrt{6}} - \sqrt{2}\\\frac{3}{\sqrt{3}} + \sqrt{6} + \sqrt{18} + \sqrt{2} - \frac{4\sqrt{3}\sqrt{6}}{\sqrt{6}\sqrt{6}} - \sqrt{2}\\\frac{3\sqrt{3}}{\sqrt{3}\sqrt{3}} + \sqrt{6} + \sqrt{18} + \sqrt{2} - \frac{4\sqrt{18}}{6} - \sqrt{2}\\\frac{3\sqrt{3}}{3} + \sqrt{6} + \sqrt{18} + \sqrt{2} - \frac{2\sqrt{18}}{3} - \sqrt{2}\\\sqrt{3} + \sqrt{6} + \sqrt{3^2 \cdot 2} + \sqrt{2} - \frac{2\sqrt{3^2 \cdot 2}}{3} - \sqrt{2}\\[/tex]
[tex]\sqrt{3} + \sqrt{6} + 3\sqrt{2} + \sqrt{2} - \frac{2 \cdot 3\sqrt{2}}{3} - \sqrt{2}\\\sqrt{3} + \sqrt{6} + 3\sqrt{2} + \sqrt{2} - \frac{6\sqrt{2}}{3} - \sqrt{2}\\\sqrt{3} + \sqrt{6} + 3\sqrt{2} + \sqrt{2} - 2\sqrt{2} - \sqrt{2}\\\sqrt{3} + \sqrt{6} + \sqrt{2}[/tex]
Find the slope -16x=-6-2y
Answers
All sweaters at a store are on sale at a 20% discount. What would be the sale price of a sweater regularly priced $402 State what strategy and tool you will use to answer the question, explain your choice, and then find the answer.
Answers
Answer:
A sweater was on sale at 40% off the regular price
Step-by-step explanation:
Please can someone help with this question ASAP
Answers
Answer:
yes
Step-by-step explanation:
three is a factor of 12 because you can multiply it by 4 and you get 12 (a factor is a number you can multiply by another to give you a product)
Write it as a verbal expression 27-2x