Consider function f.
f(x)= x^3 + 2x^2 - 5x - 6
Select the locations of the zeros of function f on the coordinate plane. Then select the end behavior of its graph.
Answers
Answer:
x = 2, x = -1, x = -3As x approaches negative infinity, f(x) approaches negative infinityStep-by-step explanation:
Given function
f(x)= x^3 + 2x^2 - 5x - 6Finding zero's
x^3 + 2x^2 - 5x - 6 = 0x^3 - 2x^2 + 4x^2 - 8x +3x - 6 =(x - 2)(x^2 + 4x + 3) = (x - 2)(x^2 + x + 3x + 3) = (x - 2)(x(x + 1) + 3(x + 3)) =(x - 2)(x + 1)(x + 3)Zero's are
x = 2, x = -1, x = -3See the graph attached
Correct end behavior as per graph:
As x approaches negative infinity, f(x) approaches negative infinity
Answer:
As x approaches negative infinity, f(x) approaches negative infinity
Step-by-step explanation: Plato
Related Questions
please help me I am very confused.
Answers
Answer: D
Step-by-step explanation:
If the given figure is rotated 180° around the origin, what are the new coordinates of point Z?
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How do you rotate a figure 180 degrees in anticlockwise or clockwise direction on a graph?
Rotation of a point through 180°, about the origin when a point M (h, k) is rotated about the origin O through 180° in anticlockwise or clockwise direction, it takes the new position M' (-h, -k).
Worked-out examples on 180 degree rotation about the origin:
1. Find the co-ordinates of the points obtained on rotating the points given below through 180° about the origin. i) A (3, 5)
(ii) B (-2, 7)
(iii) C (-5, -8)
(iv) D (9, -4)
Solution:
When rotated through 180° anticlockwise or clockwise about the origin, the new position of the above points is.
(i) The new position of the point A (3, 5) will be A' (-3, -5)
(ii) The new position of the point B (-2, 7) will be B' (2, -7)
(iii) The new position of the point C (-5, -8) will be C' (5, 8)
(iv) The new position of the point D (9, -4) will be D' (-9, 4)
2. Plot the point M (-1, 4) on the graph paper and rotate it through 180° in the anticlockwise direction about the origin O. Find the new position of M.
Solution: When rotated through 180° in the anticlockwise direction about the origin O, then M (-1, 4) → M'' (1, -4).
3. Draw a line segment joining the point P (-3, 1) and Q (2, 3) on the graph paper and rotate it through 180° about the origin in anticlockwise direction.
Solution: On plotting the points P (-3, 1) and Q (2, 3) on the graph paper to get the line segment PQ.
Now rotate PQ through 180° about the origin O in anticlockwise direction, the new position of points P and Q is:
P (-3, 1) → P' (3, -1)
Q (2, 3) → Q' (-2, -3)
Thus, the new position of line segment PQ is P'Q'.
4. Draw a line segment MN joining the point M (-2, 3) and N (1, 4) on the graph paper. Rotate it through 180° in anticlockwise direction.
Solution: plotting the points M (-2, 3) and N (1, 4) on the graph paper to get the line segment MN.
Now, rotating MN through 180° about the origin O in anticlockwise direction, the new position of points M and N is:
M (-2, 3) → M' (2, -3)
N (1, 4) → N' (-1, -4)
Thus, the new position of line segment MN is M'N'. 5. Draw a triangle PQR by joining the points P (1, 4), Q (3, 1), R (2, -1) on the graph paper. Now rotate the triangle formed about the origin through 180° in clockwise direction.
Solution: We get triangle PQR by plotting the point P (1, 4), Q (3, 1), R (2, -1) on the graph paper when rotated through 180° about the origin. The new position of the point is:
P (1, 4) → P' (-1, -4)
Q (3, 1) → Q' (-3, -1)
R (2, -1) → R' (-2, 1)
Thus, the new position of ∆PQR is ∆P’Q’R’.
Answer:
im not sure if there is a picture it would help more :)
Step-by-step explanation:
Solve.
2x + 3 = 2x - 3
Answers
Step-by-step explanation:
Respuesta:13
Answer:
It is incorrect :( :(
Step-by-step explanation:
2x + 3 = 2x - 3
or, 2x - 2x = -3-3
or, 0 = -6
Simplify the radical √75 and explain how you got the answer :) please!
Answers
Answer:
8.6
Step-by-step explanation:
PLEASE HELP
classify triangles
Answers
Answer:
I'm pretty sure its obtuse triangle
The Green Lawns Company uses the equation C=82.75a+56 to determine the amount to charge for mowing a city park, where a is the number of acres in the park and C is the cost in dollars. What is the significance of the number 82.75 in the equation?
Answers
Answer: The significance of the number 82.75 in the equation = amount charged per acre in the park.
Step-by-step explanation:
Given: The Green Lawns Company uses the equation C=82.75a+56 to determine the amount to charge for mowing a city park, where a is the number of acres in the park and C is the cost in dollars.
In linear equation y=mx+c, = rate of change of y with respect to x.
Here Coefficient of a = rate of change of C with respect to a.
i.e. Coefficient of a =amount charged per acre in the park.
Hence, The significance of the number 82.75 in the equation = amount charged per acre in the park.
Julio says, "If you subtract 13 from my number and multiply the difference by -3, the result is -54 ." What is Julios's number?
Answers
Answer:Julios's number is 31
suppose: Julios's number is x
because Julio says, "If you subtract 13 from my number and multiply the difference by -3, the result is -54 "
=> we have: (x - 13).(-3) = -54
<=> x - 13 = (-54):(-3) = 18
<=> x = 18 + 13 = 31
<=> x = 31
Step-by-step explanation:
Which figure has the largest shaded region?
Answers
Answer:
is A
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Both the others have 3/4 shaded c has less
What is the slope and y-intercept of x/3= -y+2 and how?????
Answers
then you get -y equals 1/3x -2 so you have to flip the sign of the entire equation because you can’t have a negative line
so you get y = -1/3x + 2
the y-intercept is (0,2)
the slope is -1/3x (aka -x/3)
Sarah works ar a shoe store. She earns a base salary of $1,500 per month, plus a 25% commission on the amount of shoe sales she makes druing the month. If Sarah's goal is to earn $2,000 a month, what is the amount of shoe sales that she must make in a month?
Answers
Answer:
Step-by-step explanation:
goal is 2,000 and she already makes 1,500
2,000-1,500 gives you the amount she needs to earn from shoe sales
she needs to earn 500 dollars with a 25% commision
25% can also be written as 25/100
for every $100 she makes, she gets $25 but she needs $500
100:25
we need the second number in the ratio to equal $500
500 divided by 25 is 20
20 x 100 : 25 x 20
2000: 500
ANOTHER WAY: 500 is 1/4 of 2000 and 1/4 is 25% so you could multiply the amount she needed by 4 to get your answer
find the L.C.M of the following
a.3and7
b.4and5
Answers
Answer:
a. 21
b. 20
Step-by-step explanation:
a. 3 and 7 are prime numbers, so their LCM is their product, 21
b.
4 = 2^2
5 = 5
LCM = 2^2 * 5 = 20
Answer:
a. 21
b. 20
here is a list of ingredients for making 12 rock cakes nihay wants to make 42 cakes does she have enough sugar to make 42rock cakes u must show your working
Answers
Step-by-step explanation:
So we know that for 12 rock cakes we need 225g flour and 75g sugar to get 42 rock cakes we need to multiply the number of ingredients by 3.5 (42/12 =3.5)
This gets us 787.5 g flour and 262.5 g sugar.
Show work:
[tex]42 \div 12 = 3.5[/tex]
[tex]225 \times 3.5 = 787.5[/tex]
[tex]75 \times 3.5 = 262.5 [/tex]
[tex]787.5 < 800[/tex]
[tex]262.5 < 300[/tex]
Nishat has enough flour and sugar to make 42 rock cakes.
You help out at the bowling alley on weekends. One of the arcade games has a bin filled
with stuffed animals. A robotic arm randomly grabs a stuffed animal as a prize for the
player. You are in charge of filling the bin.
You are told that the probability of getting a stuffed giraffe today is 0.4. If there are 28
giraffes in the bin, what is the total number of stuffed animals in the bin?
Answers
Answer:
28/0.4,= 28/(2/5)=28*5/2=14*5=70, no need to use calculator
check 70*0.4=28
Step-by-step explanation:
what is the value of x
Answers
Answer:
x=12
Step-by-step explanation:
substitute the number 12 with X
can someone please help me with this please and thank you
Answers
geometry work find the value of b
Answers
Answer:
63
Step-by-step explanation:
I know I did it
complete the table of values for y=x3+x2-6x
Answers
Answer:
y= x ^3 - 4x
Step-by-step explanation:
Regroup terms.
y=x^3 +2x−6x
Simplify x^3 +2x−6x to x^3 −4x.
AAAAANNNNNnnNNND the answer is
y= x^3 - 4x
IN GRAPH
GIVING BRAINLIEST!!
Graph the solution of 2x + 3 <3.
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Answer:
Open dot to the left. Dot on zero.
Step-by-step explanation:
Answer:
I hope this helps!
What transformations were applied to ABCD to obtain A'B'C'D?
Answers
Answer:
Rotate 90 degrees counterclockwise then translate 2 units up.
Step-by-step explanation:
I just took a quiz on a p e x and it was correct! :)
Answer:
roatae 90 degrees conter clockwise about the origin and then go to units up
Step-by-step explanation:
Convert 2x + 37y = 18 to point-slope form.
Answers
Answer:
y = -2/37x + 18/37
Step-by-step explanation:
2x + 37y = 18
-2x -2x
37y = -2x + 18 (Divide 37 on both sides)
Y = -2/37x + 18/37
Provide three character traits that would make you a successful entrepreneur. Explain? I
Answers
Answer:
Creative, Motivated, and Passionate.
Step-by-step explanation:
The describe a successful entrepreneur because you have to be creative because being creative helps you become a better problem solver in all areas of your life and work. You have to be motivational because it allows us to change behavior, develop competencies, be creative, set goals, grow interests, make plans, develop talents, and boost engagement. You have to be passionate because being passionate is the energy that keeps us going, that keeps us filled with meaning, and happiness, and excitement, and anticipation.
The sum of three consecutive numbers is 123.
What is the smallest of the three numbers?
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Answer:
The three numbers are 40, 41 and 42. So the answer would be 40
What is the binary number for 22
Answers
Answer:
I believe it is 10110
Step-by-step explanation:
hope this helps
Which of the following is the graph of the function shown above?
Answers
The given functions will be straight line graph as shown below
What are piecewise functionsPiecewise function are made of several functions on an xy-plane. According to the question, we are to plot the following piecewise functions.
The following functions are linear equation with a degree of 1. The given functions will be straight line graph as shown below;
Learn more on piecewise function here: https://brainly.com/question/27262465
#SPJ1
Find the slope and the y-intercept of the line.
6x+2y=-2
Answers
Answer:
Slope: -3
Y Intercept: (0,-1)
Step-by-step explanation:
Answer:
slope -3
y = 0,-1
Step-by-step explanation:
Kellie can type 3 words in 1 minute
Answers
uwu I see a lot of problems,
1. She can only type 3 words per minute
2. She can only type 3 words per minute
The image of point (-2,3) under translation T'is
(3,-1). What is the image of point (4,2) under the
same translation?
Answers
Answer:
Step-by-step explanation:
REF: 060309a
ANS:
(9,−2)
(x,y)-->(x+5,y-4)
Transformation involves changing the position of a point.
The image of the translation is (9,-2).
The point is given as:
[tex]\mathbf{A= (-2,3)}[/tex]
The image of the point is:
[tex]\mathbf{A'= (3,-1)}[/tex]
The translation rule is calculated as:
[tex]\mathbf{T = <x + 3--2,y-1-3>}[/tex]
[tex]\mathbf{T = <x + 5,y-4>}[/tex]
So, the image of (4,2) is:
[tex]\mathbf{Image = (4 + 5, 2 -4)}[/tex]
[tex]\mathbf{Image = (9, -2)}[/tex]
Hence, the image of the translation is (9,-2).
Read more about translation at:
https://brainly.com/question/12463306
Aubrey wants to save money to purchase a new bicycle that costs $275. If she saves $5 per week, how many weeks will it take Aubrey to have enough money to purchase the bicycle?
Answers
55 semanas, porque si tomas los $275 y los dividís en $5 te da 55,lo que serian las semanas
soy de Argentina,salu2 C':
Answer:
55
Step-by-step explanation:
Set up an equation first like this,
5x=275
you would set it up like this because she needs $275 and she saves her money for a _____ amount of weeks that's why I said x, we want to know the number of weeks. So you would divide 275 by 5 and you get 55. So she will need to save up for 55 weeks.
PLEASE HELP!!! Find the slope of each side of the triangle.
Answers
9514 1404 393
Answer:
AB: -3BC: 2/3AC: -1/4Step-by-step explanation:
The slope of a given segment is the ratio rise/run. The "rise" is the number of vertical divisions between the points. The "run" is the number of horizontal divisions between the points. The "run" is positive left-to-right. The corresponding "rise" is positive up.
Here are the segment slopes (rise/run).
AB = -3/1 = -3
BC = 2/3
AC = -1/4
Which equation is equivalent to 4 - 6(3 - 2x) = 3(x - 4)?
a. 15x= -2 b. 5x=-10 c. 9x=2 d. 15x=2
Answers
Answer:
9x=2
Step-by-step explanation:
4 - 6(3 - 2x) = 3(x -4)
4 - 18 + 12x = 3x - 12
12x - 14 = 3x - 12
12x - 3x = 14 - 12
9x = 2
hope you are happy with the answer ;)