One factor of the function f(x) = x3 − 6x2 + 11x − 6 is (x − 3). the x-intercepts and the y-intercept of the graph of f(x) are
x = 2, x = 3, and x = 4.(0, -6), (2, 0), (3, 0), and (4, 0). RespectivelyWhat are the x-intercepts?Generally, To find the x-intercepts, we set y equal to 0 and solve for x. In this case, the equation we need to solve is:
f(x) = x^3 - 6x^2 + 11x - 6 = 0
To solve this equation, we can use the fact that (x - 3) is a factor of the function. This means that we can write the function as:
f(x) = (x - 3)(x^2 - 3x + 2)
If (x - 3) is a factor, then x - 3 must equal 0. This gives us one x-intercept at x = 3.
To find the other x-intercepts, we can set the quadratic factor (x^2 - 3x + 2) equal to 0 and solve for x. This gives us the following equation:
x^2 - 3x + 2 = 0
We can use the quadratic formula to solve this equation:
x = (3 +/- √(9 - 8)) / 2 = (3 +/- √(1)) / 2 = (3 +/- 1) / 2
This gives us two more x-intercepts at x = 2 and x = 4.
So the x-intercepts of the graph of f(x) are x = 2, x = 3, and x = 4.
To find the y-intercept, we set x equal to 0 and solve for y. In this case, the equation we need to solve is:
f(0) = 0^3 - 6(0)^2 + 11(0) - 6 = -6
This gives us a y-intercept at (0, -6).
So the y-intercept of the graph of f(x) is (0, -6).
All of the intercepts of the graph of f(x) are, therefore (0, -6), (2, 0), (3, 0), and (4, 0).
Read more about x-intercepts
https://brainly.com/question/14180189
#SPJ1
To investigate the relationship between age and preference for two mayoral candidates in an upcoming election, a random sample of city residents was surveyed. The residents were asked which candidate they preferred, and each resident was classified into one of three age-groups. The test statistic for the appropriate hypothesis test was 3.7408. Approximately what is the probability that the observed responses would be as far or farther from the expected responses if there is no association between age-group and preference?
A. 0.0001
B. 0.1541
C. 0.2908
D. 0.5873
E. 0.7117
Answer:
B. .1541
Step-by-step explanation:
Not sure why but the teacher answer key had this listed, came on here to see why
HELP!!!
FIRST TO ANSWER GETS BRAINLEST!!!
Jack writes the following expression to compare the temperature on two winter days.
Choose >, < or = from the drop-down menu to make the statement true.
-2°C Choose...
-5°C
Answer:
-2 Celsius >-5 Celsius is the answer.
Answer:
-2 > -5
Step-by-step explanation:
think about which of the two numbers is nearest to 0
Linda is making a line plot of the data below. 11.25, 12.5, 11.25, 14.125, 10.5, 11.25, 12 Which line plot represents the data correctly?
( PLEASE HELP!!) ASAP
I'LL GIVE 70 POINTS IF CORRECT!!
Answer:
The line plot which has plots at the points 11.25, 12.5, 11.25, 14.125, 10.5, 11.25, 12 and a slope-line which goes roughly through the middle/mean of the points.
Step-by-step explanation:
Question 6 (1 point)
Which point is not included in the solution set of the system of inequalities graphed below?
LOOK AT PICTURE
Henry bought a car for $14,000. After two years, the value of the car was $8,400. What was the percent decrease in the value of the car after two years?
Answer:
40%
Step-by-step explanation:
I I have taken 14000-8400=5600. then I took the formula =decrease × 100 over original price hope that helps.
There will be 40 percent decrease in the price of the car after two years.
What is percentage?Percentage is a part of the whole number. It is denoted by % sign.
1 %= 1/100.
Given that,
The initial price of car = $14,000
After two year, the price of car = $8,400
The decrease in the price of the car = 14,000- 8,400
= 5600
The decrease in percentage = 5600×100/14000
= 560/14
= 40%
The percent decrease in the value of the car after two year is 40%.
To know more about Percentage on:
https://brainly.com/question/24120406
#SPJ2
describe a good and safe relationship
Answer:
Many people rush into relationships, whether it be romantic or friendly. No matter the kind of relationship, the number one thing you want to make sure you have is boundaries. When you get to know someone, you have to make sure they respect your beliefs, your boundaries, and won't peer pressure you into doing anything. You also want to make sure the person you are getting to know is getting to know you for you and not anything else. It has been proven that the more happy relationships and healthy relationships we have, the longer we live. But it also works the other way around. That's why we have to make sure we surround ourselves with the right kinds of people otherwise, we'll just end up getting hurt. It's very common for people to be influenced by outside forces and, therefore, hurt us and turn around and instead of being our loved ones, they're our enemies. That's why we have to make sure we choose the right kinds of people.
Step-by-step explanation:
I hope this helps :)
If the Volume of a Cylinder is 25*pi* and the radius is 4, what is the height "h"?
Round your answer to the nearest tenth if needed.
Answer:
The height of the cylinder is 0.497.
Step-by-step explanation:
Given that the Volume of a cylinder is 25 and the radius is 4, to determine what is the height of said figure, the following calculation must be performed, knowing that the volume of a cylinder is calculated using the following formula (3.14 x r^2 x h = X):
3.14 x (4x4) x h = 25
3.14 x 16 x h = 25
50.24 x h = 25
h = 25 / 50.24
h = 0.497
Therefore, the height of the cylinder is 0.497.
Identify the terms, coefficients, and constants in the expression: 10x + 19 HDLSJSHSG SHSHAS HELP
Step-by-step explanation:
the term is 10x +19
cosf$icients is 10 and
constant is 19
Tina walks 1/2 mile in each 1/3 hour.
What is Tina's walking rate?
6 miles per hour
5 miles per hour
3/2 miles per hour
16 mile per hour
Answer:
6 mile per hour
Step-by-step explanation:
Tina runs 3/2 miles in an hour and it is her walking rate.
What is a unitary method?A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
Given, Tina walks 1/2 mile in each 1/3 hour.
So, Tina's walking rate is the distance she runs in an hour which is,
In (1/3)×3= 1 hour she runs (1/2)×3 = 3/2 miles.
learn more about the unitary method here :
https://brainly.com/question/28276953
#SPJ2
Larry read a 400-page book. He read at a rate of 10 pages per day for d days.
Answer:
It took him 40 days to complete the book.
Step-by-step explanation:
Divide 400 by 10 and you should get 40 as an answer.
Answer:
d=400/10
Hope this helps
The regular polygon has radii and an apothem as shown. Find the measure of each numbered angle.
9514 1404 393
Answer:
∠5 = 60°
∠6 = 30°
∠7 = 120°
Step-by-step explanation:
Since the polygon is regular, you know that the central angle (7) is 1/3 of the circle, or 120°. The angle 5 is half that measure, so is 60°, and the angle 6 is the complement of angle 5, so is 30°. (Angle 6 is also half the inscribed angle at each vertex, said inscribed angle being 120°/2 = 60°.)
∠5 = 60°
∠6 = 30°
∠7 = 120°
questions number 1
How much paper is used for the label of the container, which covers the lateral surface area of the cylinder? Round your answer to the nearest tenth.
question number 2
what volume of oats will fill the container? Round your answer to the nearest tenth.
9514 1404 393
Answer:
145.3 square inches
Step-by-step explanation:
The lateral area of the cylinder is given by ...
LA = 2πrh
LA = 2π(2.5 in)(9.25 in) = 46.25π in²
LA ≈ 145.3 in²
About 145.3 square inches of paper is used for the label.
WHAT IS 225/100 IN DECIMALS AND PERCENTAGES
Answer:
2.25 and 225%
Step-by-step explanation:
I WILL NAME BRAINSLEST WHI EVER ANSWRS FIRST AND DOESNT MAKE ME READ A LOT
The lengths of the three sides are 4 centimeters, 2 centimeters, and 7 centimeters.
The measures of two angles are 30 and 60 and the length of the included side is 12 inches.
The measures of the three angles are 45, 75, and 60"
Number of
Triangles
Glven Conditions
0
1
infinitely
many
Answer:
60? Maybe could be wrong
Step-by-step explanation:
0 Sides 4 cm, 2 cm, 7 cm
1 ASA = 30°, 12 in, 30 cm
∞ Angles 25°, 75°, 60 °
FOUND THIS IN BRAINLY
Answer:
0 matches with 4,2, and 7 centimeters.
1 matches with 30, 60, and 12
infinitely many matches with 45, 75, and 60!
Which is equivalent to the expression?
(3x - 14)^2
a. 9x^2 - 84x + 196
b. 9x^2 + 84x + 196
c. 9x^2 + 196
d. 9x^2 - 196
Answer:
A
Step-by-step explanation:
(3x - 14)^2
9x^2 - 42x -42x +196
9x^2 - 84 +196 is the correct answer
Question 9 of 10Which of the following is equal to the rational expression when x ≠ -4 or 3? X^2-4+3/x^2+x-12
Answer:
3
Step-by-step explanation:
Sorry if it's wrong and semogamem helps
HELP WILL GIVE BRAINLIEST
Answer:
B
Step-by-step explanation:
So for answer choice 1, we can confirm it is correct because if we check there are 2 x intercepts (when it hits x-intercept). For answer choice 2, we only see 1 y intercept ( when it hits y-axis). So that can't be right. We'll keep moving and we can see the the maximum (highest point on the graph) truly is (1,2) so that is correct, and the axis of symmetry (if you would fold the graph in half, the point on the x-axis where it would fold) indeed is 1, so we can confirm the answer is B. Hope this helps!
The answer is not 15
Help will be appreciated !
Answer:
The answer is 67.5!!
Step-by-step explanation:
Brainliest Please!
Solve for a Chocolate Chip Cookie!
Answer:
Hi! The answer to your question is x=-2 and y=3
Step-by-step explanation:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☆Brainliest is greatly appreciated!☆
Hope this helps!!
- Brooklynn Deka
Answer:
x= 4-2y and y= 2- 1/2x
now gimme my cookie
HELP please please please please please
Hello!
This is just a conceptual problem where you'll be converting units.
If her semitrailer is 3.5m high and the bottom of the bridge (how tall the support beam are) is 11ft 9in high, we'll need to convert them into the same units and then compare both values.
Let's convert from inches to meters.
Since there are 12 inches in a feet, we can convert 11 feet into 132 inches, meaning that the bottom of the bridge is at 141 inches.
In 1 meter, there is around 39.37 inches, so we'll be dividing 141 by 39.37, giving us a number of around 3.5814, meaning that the bottom of the bridge is higher than the height of the semitrailer, and her vehicle will fit under the bridge.
Hope this helps!
solving steps for 2/3(9+x) = -5(4-x)
Answer:
x = -6
Step-by-step explanation:
2/3(9+x) = -5(4-x) ( 2/3times9=6, 2/3timesx=2/3x) ( -5times4=-20,-5timesx=-5x)
6 + 2/3x = -20 -5x ( add 20 on both sides)
26 + 2/3x = -5x ( minus 2/3x on both sides)
26 = -4.6x (divided -4.6x on both sides)
-5.6 = x ( round up)
-6 = x
hope this helps
1 2 3 4 5 6 7 8 9 0 q w e r the y u I o p a s d f g h j k l z x c v b n m
Answer:ABCDEFGHIJKLMNOPQRSTUVWXYZ
Step-by-step explanation:
A paper weight is made in the shape of a triangular pyramid. The dimensions of the paper weight are shown. A triangular pyramid. The base has a base of 9 centimeters and height of 6 centimeters. The height of the pyramid is 7 centimeters. [Not drawn to scale] The formula for the volume of a triangular pyramid is V = one-third B h. Which expression can be used to find the value of B, the area of the base of the pyramid? B = one-half (9) (6) B = (9) (6) B = one-third (9) (7) B = (9) (7)
Answer:
B=one half (9) (6)
Step-by-step explanation:
I took the test
A die was rolled eight times. The rolls were 2, 2, 3, 4, 4, 5, 6, and 6. What is the mean absolute deviation for this data? A) 1 1/4 B) 1 2/3 C) 4 D) 10 (B is not 12/3)
Answer:
The correct option is A:
MAD = 1 + 1/4
Step-by-step explanation:
For a set of N elements {x₁, x₂, ..., xₙ}
The mean is calculated as:
[tex]M = \frac{x_1 + x_2 + ... + x_n}{N}[/tex]
And the mean absolute deviation is calculated as:
[tex]MAD = \frac{Ix_1 - MI + Ix_2 - MI + ...+ IX_n - MI}{N}[/tex]
Here we have the set of 8 elements:
{ 2, 2, 3, 4, 4, 5, 6, 6}
The mean of this set is:
M = (2 + 2 + 3 + 4 + 4 + 5 + 6 + 6)/8 = 4
Then the mean standard deviation is:
[tex]MAD = \frac{I2 - 4I + I2 - 4I + I3 - 4I + I4 - 4I + I4 - 4I + I5 - 4I + I6 - 4I + I6 - 4I}{8} = 10/8[/tex]
If we simplify this, we get:
MAD = 10/8 = 5/4 = (4 + 1)/4 = 4/4 + 1/4 = 1 + 1/4
MAD = 1 + 1/4
The correct option is A.
suppose that you borrow $12000 for 4 years at 6% towards the purchase of a car. use pmt to find the monthly payments and the total interest for the loan
Answer:
Equivalent representations of percent problems
Step-by-step explanation:
helpppp meeeee plssss i will love u forever
Answer:
hi
Step-by-step explanation:
-10s=-3-7
-10s=-10
s=1
have a nice day
what is the median of 11, 10, 8, 7, 7, 7, 5, 4, 3, 3, 3,
If the length of a rectangle is 12 times the width and the area is 48 square feet, what are the
dimensions?
Answer:
dimensions are 2 ft, 24ft
Step-by-step explanation:
width = w
length = 12w
Area of rectangle = 48 square feet
length * width = 48
12w * w = 48
12w² = 48 {Divide both side by 12}
w² = 48/12
w² = 4 =2²
w =2 ft
l = 12*2 = 24ft
Answer:
Solution :-Let the width be w and Length will be 12w
So,
Area = lw
48 = 12w × w
48/12 = w²
4 = w²
√4 = √w²
2 = 2
Length = 12(2) = 24 cm
Breadth = 2 cm
[tex] \\ [/tex]
The sample mean is a statistic. True or false
Answer:
true
Step-by-step explanation: