Find the rational zeros of the polynomial function. Then enter the function in factored form.
h(x)=6x^3-11x²-3x + 2.
The zeros are x __,__,__
Answers
Answer:
The zeros are -1/2, 1/3 and 2.
The factors are (x - 2)(3x - 1)(2x + 1)
Step-by-step explanation:
h(x)= 6x^3 - 11x² - 3x + 2 = 0
As the last term is 2 we try to see if +/-1 or +/- 2 are zeros
f(1) = -6, f(-1) = -18 so they are not zeros.
f(2) = 6*8 - 11*4 - 3(2) + 2
= 48 - 44 - 6 + 2
= 4 - 6 + 2
= 0.
So x = 2 is a zero and x - 2 is a factor.
Dividing by x - 2:
x - 2 ) 6x^3 - 11x² - 3x + 2 ( 6x^2 + x - 1 <--------Quotient
6x^3 - 12x^2
x^2 - 3x
x^2 - 2x
- x+ 2
-x + 2
Factoring the quotient:
6x^2 + x - 1
= (3x - 1)(2x + 1) = 0
x = 1/3, x = -1/2..
Related Questions
What is the measure of ∠A, to the nearest degree?
17°
33°
57°
73°
A scalene triangle A B C. Side B C is the base. Side A B is labeled as 7 meters. Side A C is labeled as 7 meters. Side B C is labeled as 4 meters.
Answers
Answer:
33
Step-by-step explanation:
5. Which choice below could match the following ratio: 4 to 5 Look at
answer choiced first and simplify to see which one leaves you 4 to 5. *
O
A A teacher has 12 girls and 15 boys in her class.
O
B A restaurant sells 3 salads for every 2 steaks.
O
CA garden has 3 pepper plants for every 5 tomato plants.
O
DA car dealership sells 30 cars for every 5 trucks.
Answers
Answer:
A- A teacher has 12 girls and 15 boys in her class.
Step-by-step explanation:
12/3= 4
15/3= 5
This means that it will have a ratio of 4 to 5 because it is the only problem where you are able to divide both with a common number, which is 3.
A first number plus twice a second number is 14. Twice the first number plus the second totals 19. Find the numbers.
Answers
Answer:
first number is 8 second number is 3
The following histogram shows the number of items sold at a grocery store at various prices:
Histogram titled Items Sold with Price Range on the x axis and Number of Items Sold on the y axis. Bar 1 is 0 to 2 dollars and 50 cents and has a height of 2. Bar 2 is 2 dollars and 51 cents to 5 dollars and has a height of 0. Bar 3 is 5 dollars and 1 cent to 7 dollars and 50 cents and has a height of 4. Bar 4 is 7 dollars and 51 cents to 10 dollars and has a height of 2.
Which of the following data sets is represented in the histogram?
{0.75, 2.50, 2.51, 5.00, 5.01, 7.50, 7.51, 10.00}
{2.50, 2.50, 7.50, 7.50, 7.50, 7.99, 9.25, 10.00}
{2, 0, 4, 2}
{0.50, 2.00, 5.01, 6.25, 7.45, 7.50, 7.89, 9.99}
Answers
Answer:
The person above is wrong.
The answer is D. {0.50, 2.00, 5.01, 6.25, 7.45, 7.50, 7.89, 9.99}
Step-by-step explanation:
The histogram cannot start from 0.00 if the value of the number is higher than one half, or 0.50.
So, for option D, the number is at 0.50, so it can start.
Which of the following points on the xy-graph is the x-intercept of the equation y= 2x– 8? Hint: plug in first value for x, do order of operations until you get the 2nd value in the coordinate)
Answers
Answer:
Step-by-step explanation:
The x-intercept of the equation y = 2x – 8 will be 4.
What is a linear equation?A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The equation of the line is given below.
y = 2x– 8
Form the x-intercept, substitute the value of y equals zero. Then we have
0 = 2x– 8
2x = 8
x = 4
The x-intercept of the equation y = 2x – 8 will be 4.
More about the linear equation link is given below.
https://brainly.com/question/11897796
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Which coordinate pair identifies a point in the third quadrant of the coordinate plane?
A) (15, 10)
B) (15, −10)
C) (−15, 10)
D) (−15, −10)
Answers
Answer:
D) (-15, -10)
Step-by-step explanation:
The third quadrant is negative on the x and y side.
Mya's lunchbox is shown. What is the volume of the lunchbox? Round to the nearest tenth if necessary.
Answers
The volume of Mya's lunchbox can be calculated by multiplying its length, width, and height. However, the dimensions were not provided in the question.
Explanation:The volume of a three-dimensional object like Mya's lunchbox can be found by multiplying the object's length, width, and height together. If Mya's lunchbox is a rectangular prism, for instance, and we know its measurements, we can calculate its volume using the formula Volume = Length x Width x Height. However, the question didn't provide the necessary dimensions of the lunchbox. Therefore, you need to provide the dimensions of the lunchbox for me to be able to help you calculate its volume.
Learn more about Volume calculation here:https://brainly.com/question/33318354
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PLEASE ANSWER! WILL GIVE BRAINLIEST!!!
$750 at a 4% annual compound interest rate over a period 4 years
Which of the following statements are true of the data? Check all that apply.
The starting balance of the 3rd year is $811.20.
The interest earned in the 3rd year is $31.20.
The ending balance for the 3rd year is $843.65.
The interest earned in the 4th year is $33.75.
The ending balance for the 4th year is $874.85.
Answers
Answer:
The starting balance of the 3rd year is $811.20.
The ending balance for the 3rd year is $843.65.
The interest earned in the 4th year is $33.75.
Step-by-step explanation:
750 × (1 + 4%)^n
750 × (1.04)^n
750 × 1.04² = 811.2
(End of second year, starting of third year)
750 × 1.04³ = 843.648
In third year: 843.648 - 811.2
= 32.448
750 × 1.04⁴ = 877.39392
During the fourth year:
877.39392 - 843.648
33.74592
Answer:
The starting balance of the 3rd year is $811.20.
The ending balance for the 3rd year is $843.65.
The interest earned in the 4th year is $33.75.
Step-by-step explanation:
I did it on edg.
1. You weigh six packages and find the weights to be 32, 22, 72, 27, 67, and 10 points
62 ounces. If you include a package that weighs 152 ounces, which will
increase more, the median or the mean?
Answers
Answer:
MEAN INCREASES MORE
Step-by-step explanation:
Graph the function and identify the domain and range y= -4 x^2
Answers
Step-by-step explanation:
y=-4x²
if x=0 x=2
y=0 y=16
x=1 x=-2
y=4×1² y=-16
y=4
x=-1
y=-4
Can someone please help me with my homework number
7.
8.
9.
10
11.
12.
13.
14.
15.
16.
17., and 18.
Answers
Answer:
Below.
Step-by-step explanation:
7. 570
8. 850
9. 820
10. 670
11. 600
12. 700
13. 700
14. 900
15. 301
16. 194
17. 487
18. 539
I hope none of these are wong, stay safe! xx
identify the real part and imaginary part of each number below
8-7i
19i
Answers
Answer:
8-7i 8 is the real part and -7 is the imaginary part
19i 0 is the real part and 19 is the imaginary part
Step-by-step explanation:
8-7i 8 + (-7) i the real part is 8 the -7 is the imaginary part
19i 0 + 19i the real part is 0 the 19 is the imaginary part
The real and imaginary parts of complex numbers 8 - 7i and 19i are given below:
For the complex number 8 - 7i, the real part is 8 and the imaginary part is -7.
For the complex number 19i, the real part is 0 and the imaginary part is 19.
The temperature rises 2°C each hour from 6:00 a.m. to 3:00 p.m. What is the total change in temperature during this period of time?
Answers
Answer:
18 degrees c
Step-by-step explanation:
9•2=18
Answer:
9 Times 2=18
Step-by-step explanation:
Keith is making a tomato soup recipe that requires 4/5 of a pound of tomatoes but he only has 3/4 of a pound of tomatoes. What fraction of the recipe can Keith make with the amount of tomatoes he has? (I'm lazy...someone help me out?)
Answers
Answer:
15/16 tomato soup
Step-by-step explanation:
his problem can be solved using the principle of proportionality or rule three.
A tomato soup recipe that requires 4/5 of a pound of tomatoes, which means that one unit of tomato soup is produced.
So how many units is produced with the amount of 3/4 of a pound of tomato.
Pound Tomato Tomato soup
4/5 1
3/4 x
then x equals:
x = (3/4*1)/(4/5)
x = 0.9375
x = 15/16 tomato soup
Which means that they are that amount of tomato produces 15/16 tomato soup.
Which is a true statement about the dot plot? Number of Rolls of a Six-Sided Number Cube to Get an Even Number A dot plot going from 1 to 5. 1 has 4 dots, 2 has 8 dots, 3 has 4 dots, 4 has 2 dots, and 5 has 1 dot.
Answers
Answer:
4 rolls
Step-by-step explanation:
Answer:
I saw some comment it was 4/ d
Step-by-step explanation:
Carl filed a claim after he rear-ended another car, causing damage to each
car's bumper. Which deductible would he have to pay first, before he receives
a payment from the insurance company?
A. Collision
B. He would not have to pay any deductible because he was not at
fault.
C. Comprehensive
D. Premium
Answers
The deductible would he have to pay first, before he receives a payment
from the insurance company is: Comprehensive.
What is Comprehensive insurance?Comprehensive insurance can be defined as a insurance coverage that help to cover car expenses when your car damage as a result of accident or collision.
here, we have,
Brain will need to pay for comprehensive insurance before he can receive the claim or before the insurance company can pay him for the car damaged claim.
Therefore the correct option is C.
The deductible would he have to pay first, before he receives a payment
from the insurance company is: Comprehensive.
Learn more about Comprehensive insurance here:
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Answer:
collision
Step-by-step explanation:
jus did it.
The mean of a data set is 30. What is the deviation from the mean of a data point 27 that was part of the data set?
a) 1.5
b) –3
c) 3
d) –1.5
Answers
Answer:
most likely B
Step-by-step explanation:
aisha and jordan start by making a floor plan for their treehouWhich revision of these two sentences best shows that the coach blowing the whistle happened first?
The referee blew the whistle. The team ran onto the field.
Before the team ran onto the field, the referee blew the whistle.
The referee blew the whistle, but the team ran onto the field.
The referee blew the whistle because the team ran onto the field.
While the team ran onto the field, the referee blew the whistle.se. they decide to build a porch on one side of the treehouse
Answers
Answer: Statements 1 and 2 shows that the coach blowing the whistle happened first.
Step-by-step explanation: The coach blowing the whistle as the first event can be seen only from statements 1 and 2 only.
From statement 1, "the referee blew the whistle" was followed by "the team ran onto the field."
From statement 2, "before the team ran onto the field" shows clearly that one event took place "BEFORE" the one being reported and the one that occurred before this one was "the referee blew the whistle."
Statement 3 which is "the referee blew the whistle, BUT..." indicates that the whistle was meant to prevent the team from from running onto the field. So if the referee blew the whistle, but the team ran onto the field, it means the whistle blowing was not supposed to make them run onto the field.
Statement 4, which states that "the referee blew the whistle BECAUSE the team ran onto the field" indicates that, the reason for blowing the whistle was because the team ran onto the field which clearly shows that the team ran onto the field first before the referee blew the whistle.
Statement 5, "WHILE the team ran onto the field..." clearly shows that both events took place at the same moment, and so the referee blowing the whistle could not have occurred first.
The hollow sphere has a diameter of 6 cm. Which expressions represent the volume of the shaded composite figure? Check all that apply. π(33) – π(1.53) π(9) – π(2.25) 36π – 4.5π 31.5π 40.5π
Answers
Answer:
A ,C,D
Step-by-step explanation:
I just finish edgenunity. so i know its correct √
Which set of numbers may represent the lengths of the sides of a triangle?
A.
5, 7, 9
C.
8, 5, 3
B.
1, 3, 4
D.
4, 4, 9
Answers
Answer:
A
Step-by-step explanation:
because for the sides to make a triangle the sum of the two shorter sides must be greater than the longest
Answer:
A, 5, 7, and 9
Step-by-step explanation:
There is a rule that states that the two shorter sides of a triangle have to be greater than the largest side.
A is correct because 5 + 7 > 9
B is incorrect because 5 + 3 = 8
C is incorrect because 1 + 3 = 4
D is incorrect because 4 + 4 < 9
I hope this helps.
Find LCM (22, 26, 351).
Answers
Answer:
7722
Step-by-step explanation:
LCM(22, 26, 351) = 7722
Find the center and the radius of the circle then graph the circle (x+4)2 +(y-1)2=4
Answers
Answer:
Step-by-step explanation:
hello :
us the standard form : (x+4)² +(y-1)²=4
the center is : (-4 , 1) and the radius 2
Sara is training for a marathon. On week one she could only run 4 miles without stopping for a rest. By week four she could run 11 miles. What percent did she increase her running
Answers
Answer:
Step-by-step explanation:
Distance increased = 11 -4 = 6 miles
Percentage =
=[tex]=\frac{7}{4}*100\\\\=7*25\\[/tex]
= 175%
2x / 3 = 12
HELP WILL GIVE 30 POINTS
Answers
Answe
Standard form:
2
3
x − 12 = 0
Factorization:
2
3
(x − 18) = 0
Solutions:
x = 36
2
= 18
Step-by-step explanation:
Answer:
yea 18
Standard form:
2
3
x − 12 = 0
Factorization:
2
3
(x − 18) = 0
Answer:
x = 36
2
= 18
Solve for X ???
A. 2 / 15
B. 20
C. 30
D. / 35
Answers
Answer:
2 sqrt(15)
Step-by-step explanation:
Using the secant tangent formula
(whole secant) x (external part) = (tangent)^2
(5+7) * 5 = x^2
12*5 = x^2
60 = x^2
Taking the square root
sqrt(60) = sqrt(x^2)
sqrt(4*15) = x
2 sqrt(15) =x
Bruce is going to call one person from his contacts at random. He has 25 total contacts. 20 of those are from his neighborhood.
What is p(call a person not from his neighborhood)?
Answers
Answer:
Depends on if you count his parent(s) if not then the answer is 5
Step-by-step explanation:
Answer:
[tex]0.2[/tex]
Step-by-step explanation:
Probability = Number of favorable outcomes / Number of posssible
outcomes
There are [tex]5[/tex] favorable outcomes ( the [tex]25-20 = 5[/tex] people not from his neighborhood).
There are 25 possible outcomes ( the [tex]25[/tex] total contacts).
P (call a person not from his neighborhood) [tex]= \frac{5}{25} = 0.2[/tex]
Find The measure of angle BEC
Answers
Answer:
148
Step-by-step explanation:
Answer:116
Step-by-step explanation:
How to solve the 30° 60° and 90° of a right triangle
Answers
Answer:
Step-by-step explanation:
Divide the hypotenuse by 2 to find the short side. Multiply this answer by the square root of 3 to find the long leg. Type 3: You know the long leg (the side across from the 60-degree angle). Divide this side by the square root of 3 to find the short side.
hope this helps you for a math problem~
: )
The adventure club went on a hike to see a waterfall. To get to the hike, the club members took 6 cars and 8 vans. There were 5 people in each car and 8 people in each van. How many people went on the hike?
Answers
Answer:
94 club members
Step-by-step explanation:
8 x 8 = 64
5 x 6 = 30
64 + 30 = 94
A zookeeper predicted the weight of a new baby elephant to be 252 pounds when it was born. The elephant actually weighed
284 pounds at birth. What was the percent error of the Zookeeper's prediction?
Answers
Answer:
11.7%
Step-by-step explanation:
284-252=32
32 is about 11.7% of 284