Find all x and y intercepts of the graph of the function f(x)= 2x^3+6x^2-2x-6
Answers
9514 1404 393
Answer:
y-intercept: (0, -6)x-intercepts: (-3, 0), (-1, 0), (1, 0)Step-by-step explanation:
We notice the first pair of coefficients is the same as the last pair (with the sign changed). This means we can factor by grouping.
f(x) = (2x^3 +6x^2) -(2x +6)
f(x) = 2x^2(x +3) -2(x +3)
f(x) = 2(x^2 -1)(x +3) = 2(x -1)(x +1)(x +3)
The factors are made to be zero when x is 1, -1, or -3.
The x-intercepts are (1, 0), (-1, 0), (-3, 0).
The y-intercept is the constant, -6.
Related Questions
Jessica is getting ready for college she needs to have an
overall grade of 85 in her Math class to qualify for the college that
she wished to attend. Her math grade is based solely on her
scores on 6 exams. On the first 5 exams her scores were 87, 81,
85, 90, 78. Write an inequality that represents her predicament.
What does score does she need to get on her last test to qualify?
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Answer:
Step-by-step explanation:
ask cymath it will help you with any mathmatical problem
Choose ALL the angles with a measure of 90°.
Answers
Answer:
Top Left, Top Right, Bottom Middle, Bottom Right
Step-by-step explanation:
The square in the joint of the angle indicates a right angle.
What type of angle measures 40 degrees
?
Answers
Answer: An acute angle
Step-by-step explanation: An acute angle is an angle that measures 89 degrees or less (Less than 90 degrees). Another way to define acute angles is any angle that is smaller than a right angle.
Find mean and median of un grouped data 3,12,8,17,10,16
Answers
Answer:
mean=sum of data /no of data
=66/6
=11
mean=11
for median u should arrange the data from ascending to descending order.so,
3,8,10,12,16,17
median=N+1/2(N=number of data)
=7/2
=3.5
=3 rd term + 4 th term/2
=10+12/2
=22/2
=11
median=11
Step-by-step explanation:
Answer:
mean: 11
median: 11
Step-by-step explanation:
3,12,8,17,10,16
average = (3 + 12 + 8 + 17 + 10 + 16)/6 = 66/6 = 11
3,8,10,12,16,17
median = 11
centre numbers are 10 and 12, and their sum/2 = 11
NEED HELP DUE IN 10 MINUTES!!!
Answers
How do I complete this question on arc length?
Answers
Answer:
v ≈ 8.5 km/h
Step-by-step explanation:
Since the diameter of the wheel is 3 m the radius will be r = 1.5 m.
Use the radius of the water wheel to find it's circumference C:
[tex]C=2\pi r[/tex] [set r = 1.5 m]
⇒ [tex]C=2\pi (1.5)[/tex]
⇒ [tex]C=3\pi[/tex] m
One revolution of the water wheel corresponds to [tex]3\pi[/tex] meters so the angular velocity 15 rmp (revolutions per minute) corresponds to:
[tex]15(3\pi )[/tex] = [tex]45\pi[/tex] [tex]m[/tex]/min
Using this result, the speed of the river in kilometers per hour will be:
[tex]v=\frac{45\pi m }{1 min}[/tex] × [tex]\frac{1 km}{1000 m}[/tex] × [tex]\frac{60 min}{1 h}[/tex]
⇒ [tex]v=8.48230016469[/tex] [tex]km/h[/tex]
⇒ [tex]v[/tex] ≈ [tex]8.5[/tex] km/h
Answer:
≈ 8 km per hour
Step-by-step explanation:
C = [tex]\pi[/tex] d
C = [tex]\frac{66}{7}[/tex]
Velocity = [tex]\frac{66}{7}[/tex] × 15 = [tex]\frac{990}{7}[/tex] ( meters per minute ) = [tex]\frac{0.99}{7}[/tex] × 60 ≈ 8.5 km/h
Jada walks dogs to earn money. The points in this graph represent the total amount of money Jada earns based on the number of hours she walks dogs. Jada wants to purchase a new jacket that costs $32.
How many hours does Jada need to walk dogs to earn enough money to buy the jacket?
Answers
Answer:
Eight Hours.
Step-by-step explanation:
Since she makes 4$ in 1 hour, you divide 32 by 4 to see how many hours it would take her.
32 divided by 4 = 8
Jada needs 8 hours to walk dogs to earn enough money to buy the new jacket which costs $32.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Jada wants to purchase a new jacket that costs $32.
Since she makes 4$ in 1 hour
So, Time is taken to earn money to 4$ = 1 hour
Time is taken to earn money to1$ = 1/4hour
Time is taken to earn money to 32$ = 32/4hour
= 8 hour
Thus, Jada needs 8 hours to walk dogs to earn enough money to buy the jacket.
Learn more about the unitary method;
https://brainly.com/question/23423168
PLEASE HELP!
Solve for x.
A.108 degrees
B.72 degrees
C.18 degrees
D.17 degrees
Answers
Option : D
72°+x ＝90°
x ＝18°
6/7 divide 4
Show your workings
Answers
Answer:
6/28 or 0.214
Step-by-step explanation:
6/7÷4=6/7÷4/1
6/7÷4/1=6/7×1/4
6/7×1/4=6/28
Not sure if you're allowed to leave it in a fraction or not, so as a decimal, it's 0.214 to 3 s.f.
Hope this helps :-)
Answer:
3.4285714284
Step-by-step explanation:
6÷7 = 0.8571428571
0.8571428571 × 4 = 3.4285714284
PLEASE HELP!!! Find (angle) BAD.
Answers
Answer:
125
Step-by-step explanation:
31+24= 55 180-55= 125
If Tom has 3 apples and Abby takes 4 then how many apples does Tom have left?
Answers
Answer:
He has 3 because it didn't say Abby took his..
Is that right?!
Answer:
0 apples
Step-by-step explanation:
3 - 4 = - 1
0 apples
pyramid = 40
prism = 30
prism = 30
Wprism = 30
What is the volume of this solid?
O A. 39,000
B. 63,000
C. 100,800
D. 27,000
Answers
Answer:
A. 39,000.
Step-by-step explanation:
Volume of the lower prism = 30^3= 27,000
Volume of the pyramid = 1/3 area of the base * height
= 1/3 * 900 * 40
= 1200
Volume of the whole solid = 27000 + 12000
= 39,000,
What two numbers have a sum of -9 and a product of 20 ?
Answers
Here it is
-4-5=-9
-4x(-5)=20
How to solve this problem. Please! Urgent
log 3+ loga(a^3)
Answers
log 3 + 3log a ( a ) =
log 3 + 3 × 1 =
log 3 + 3 =
0.4771 + 3 =
3.4771
Tommy ate 512 of pizza, Johnny ate 14 of the pizza, and Mike ate 112 of the same pizza. How much of the pizza did they eat together?
Answers
Answer:
126
Step-by-step explanation:
112 plus 14 equals to 126
they ate 126 pizzas all together
Please help me out here
Answers
Answer:
40*
Step-by-step explanation:
the whole line FC would measure 180* so then 180-50 for AGC then AGB is congruent to EGD so 180-50-90---> 130-90---> 40* so angleBGC is 40 degrees
HELP PLEASE I NEED TO PLOT THIS POINT :)
Answers
The point would be at (-6,5) I believe. Sorry if this is incorrect.
Which of the following statements about the mapping is not true?
Answers
Answer:
C. The mapping represents a relation but not a function
Step-by-step explanation:
✔️The relation is a function because every input value (domain) is mapped to exactly one output value (range). So option A is TRUE.
✔️The range consist of 2 and 1 (output values).
Option B is TRUE
✔️In the domain (input value), we have 3, 6, 7.
Option D is TRUE
Only option C is NOT TRUE.
Write the word sentence as an equation.
A number w divided by 5 equals 6.
Answers
Answer:
[tex]\frac{w}{5}=6[/tex]
Step-by-step explanation:
The first part indicates division with the phrase, divided by.
A number w divided by 5 - [tex]\frac{w}{5}[/tex]
Equals '6' would indicate that the value of 'w' and '5' would be '6'.
Equals 6 - [tex]= 6[/tex]
Hope this helps.
HELP THIS IS MY LAST QUESTION
Sebastian is going to choose design elements that include color, pattern, font, and image for the design of a sweatshirt for his dance team. There are 10 colors, 14 patterns, 12 fonts, and 9 images for him to choose from. (He will choose only one of each.)
How many different sweatshirt designs are possible?
Answers
Answer:
8
Step-by-step explanation:
Answer:
4320
Step-by-step explanation:
khan academy
Please help, just want to make sure my answers are right.
Answers
Answer:
this can happen in 9 ways possible i did the test and got it correct
Step-by-step explanation:
50 POINT I NEED HELP BAD
Answers
Answer:
k = 4
Step-by-step explanation:
7k - 6 = 2k + 14
(7k - 2k) - 6 = (2k - 2k) + 14
5k - 6 = 14
5k (- 6 + 6) = 14 + 6
5k = 20
5k/5 = 20/5
k = 4
What is the surface area of the square pyramid?
Answers
Answer:
You find the area of all the faces of the square pyramid, then add them together to get the surface area.
What is the correct reason for statement 1
Answers
Answer:
Given
Step-by-step explanation:
You are given the information about the angles under the line given.
A swimming pool is open for 7 1/2hours during a day. The pool keeps one lifeguard on
duty at a time, and each lifeguard's shift is 2 1/2hours long. How many shifts are there
per day?
7 shifts
5 shifts
3 shifts
4 shifts
Answers
Answer:
3 shifts a day
Step-by-step explanation:
7 1/2 hours = 7.5 2 1/2 hours = 2.5
7.5 divided by 2.5 = 3
Answer:
3 shift
Step-by-step explanation:
7 1/2 / 2 1/2
(15/2) / (5/2)
keep, change, flip
(15/2) x (2/5)
30/10 = 3 shifts
3x+4=2
Testing out the website thank you
Answers
Answer:
x=-6
Step-by-step explanation:
3x+4=2
3x=2-4
x=-2*6
x=-6
Answer:
3x+4=2
Sub 4
3x=-2
Divide 3
-2/3 or -0.67
Slove the math step by step
Answers
Answer 19
Step-by-step explanation:
x+a+y+a =19
Find the value of x by using the exterior angle theorem.
Answers
Answer:
The first choice (12)
Step-by-step explanation:
i'm not 100% what the theory is but here is how I did it:
the angle D and 115% are supplementary which means they add up to 180.
115+x=180
x=65
so now that you know all the angle measures, you also know that all angles of a triangle add up to 180.
65+3x+19+5x=180
combine like terms:
8x+84=180
subtract 84 from both sides:
8x=96
divide by 8 on both sides
x=12
4x-3y<16, which ordered pair?
Answers
Answer:
A. (3, -1)
Step-by-step explanation:
The ordered pair that is a solution is the one which makes the inequality TRUE when the value of the ordered pairs are plugged into 4x - 3y < 16
Therefore, the ordered pair, (3, -1) is the solution because it is the only given ordered pair in the options that makes the inequality true. Thus:
Substitute x = 3 and y = -1 into 4x - 3y < 16
4(3) - 3(-1) < 16
12 + 3 < 16
15 < 16 (TRUE)
Alyssa planted 2 rows of onions and 2 rows of turnips in a garden. Alyssa also
planted 2 a row of oak trees. In total, how many rows of vegetables
did Alyssa plant?
Answers
Answer:
7[tex]\frac{1}{2}[/tex] rows
Step-by-step explanation:
just count the rows! (if she planted half a row then add it as half)
2[tex]\frac{1}{2}[/tex] + 2[tex]\frac{1}{2}[/tex] + 2[tex]\frac{1}{2}[/tex] (you can split it up)
2 + 2 + 2 + [tex]\frac{1}{2}[/tex] + [tex]\frac{1}{2}[/tex] + [tex]\frac{1}{2}[/tex]
6 + 1[tex]\frac{1}{2}[/tex] = 7[tex]\frac{1}{2}[/tex]