5. Which of the following linear expressions is a factor of the cubic polynomial x^3 + 9x² +16x-12?
(1) x+6
(3) r-3
(2) x-1
(4) x+2

Answers

Answer 1

Answer:

(1) x+6

Step-by-step explanation:

Possible rational zeroes include ±1, ±2, ±3, ±4, ±6, ±12

Check each answer choice with synthetic division:

1 | 1 9 16 -12

 __1_10_26

    1 10 26 | 14

-2 | 1  9   16 -12

   __-2_-14_-4

      1  7   2  | -16

-6 | 1 9     16 -12

    __-6_-18_12

      1  3   -2  | 0

Therefore, x+6 is a factor of the polynomial

Answer 2

Answer:

(1) x+6

Step-by-step explanation:


Related Questions

Find the value of the expression

Answers

Answer:

20

Step-by-step explanation:

t=1

u=2

t+8+u+8+1=1+8+2+8+1=20

Please help

Find the mean
of the data.
Data: 46 22 46 49 45 39 40 42 41 39 40 36

Answers

Answer:

40.083

Step-by-step explanation:

The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.

What is the sum of the interior angle measures of the polygon

Answers

Answer:

1260°

Step-by-step explanation:

The sum of the measures of the interior angles of a polygon of n sides is

(n - 2)180°

This polygon has 9 sides, so n = 9

sum = (9 - 2)180°

sum = 7(180°)

sum = 1260°

Question 4 (Essay Worth 1 points)
[Image: Vertical number line ranging from negative 5 to 5.]
On this number line, zero represents sea level. Plot the following points based on the description provided.
• opposite of 4








Help please

Answers

Answer:

2

Step-by-step explanation:

How do you round 104,000 to the nearest 100,000

Answers

It would be 100,000. If it were anything above 150,000, then it would round up to 200,000.

Hope this helps ^^

Answer:

"To round a number to the nearest 100,000, check the ten thousands digit to decide whether to round up or round down. If the ten thousands are 50,000 or more, round up. If they are 49,999 or less, round down. 450,000 to the nearest 100,000 is 500,000."

CONTENT NOT FROM MY WORD!!!

A car is traveling at a constant speed of 65 miles per hour. Drag each list or statement below to show whether it describes the independent quantity or the dependent quantity.

Answers

Answer:

dependent quantity.

Step-by-step explanation:

Solve
[tex]\frac{a-1}{a-3} =\frac{a+1}{a-4}[/tex]

Answers

Answer:

[tex]a=\frac{7}{3}[/tex]

Step-by-step explanation:

[tex]\frac{a-1}{a-3}=\frac{a+1}{a-4}[/tex]

[tex](a-1)(a-4)=(a-3)(a+1)[/tex]

[tex]a^2-5a+4=a^2-2a-3[/tex]

[tex]-5a+4=-2a-3[/tex]

[tex]-3a+4=-3[/tex]

[tex]-3a=-7[/tex]

[tex]a=\frac{7}{3}[/tex]

whats 3-6h if h = -1

Answers

Answer:

9 is the answer.

Step-by-step explanation:

Given:

h = -1

=> 3-6h

=> 3 - 6(-1)

=> 3 + 6

=> 9

Therefore, 9 is the answer.

Hoped this helped.

which is the least per pound 5 pounds of chicken for 9.45,3 pounds for 5.97, or 1 pound for 2.05

Answers

5 pounds - 1.89

3 pounds - 1.99

1 pound - 2.05

In this case, the 5 pounds of chicken is the cheapest by exactly one dime.

Jay works as a waiter at a restaurant.
He works 12 hours each weekend. Jay makes $5.50 per
hour and he gets to keep 60% of his tips.
If Jay wants to earn $150 before taxes, how much tip
money should he get during the weekend?
PLEASE HURRY

Answers

Answer:

67.33.

Step-by-step explanation:

To figure out the tip, you need to find 20% of $52.60.

0.2×52.6=10.52

You should leave $10.52 for the waiter if you want to leave him exactly 20%.

To figure the tax, you need to find 8% of $52.60.

0.08×52.6=4.208

Next, add them up:

52.6+10.52+4.208=67.328

The total bill, including tax and tip, will be $67.33.

A triangle can have a maximum of how many non-acute angles?

Answers

Answer:

we have only two or three acute angles in a triangle. so ima say at least 1

Step-by-step explanation:

Find the next four terms in the sequence.
1,-4, 16, -64, ...

Answers

Answer:

256, -1024, 4096, -16384

i think that's it

it's being multiplied by -4 (geometric)

The Office of Student Services at a large western state university maintains information on the study habits of its full-time students. Their studies indicate that the mean amount of time undergraduate students study per week is 20 hours. The hours studied follows the normal distribution with a population standard deviation of seven hours. Suppose we select a random sample of 125 current students. What is the probability that the mean of this sample is between 19.25 hours and 21.0 hours

Answers

There is a probability of 77% that the mean of this sample is between 19.25 hours and 21.0 hours

Z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given by:

[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} } \\\\where\ x=raw\ score,\mu=mean,\sigma=standard\ deviation,n=sample\ size[/tex]

Given that μ = 20, σ = 7, n = 125.

For x = 19.25:

[tex]z=\frac{19.25-20}{7/\sqrt{125} } =-1.20\\\\\\For\ x=21:\\\\z=\frac{21-20}{7/\sqrt{125} } =0.62[/tex]

From the normal distribution table, P(-1.20 < z < 0.62) = P(z < 0.62) - P(z < -1.2) = 0.8849 - 0.1151 = 0.7698 = 77%

There is a probability of 77% that the mean of this sample is between 19.25 hours and 21.0 hours

Find out more on z score at: https://brainly.com/question/25638875

a linear function yand x has graduent -6/7 and y-intercept 8. write down the equation of the function.​

Answers

Answer:

y = - 6/7x + 8

Step-by-step explanation:

The slope- intercept form is:

y = mx + b, where m is the slope (or gradient) and b is the y-intercept

We have:

m = - 6/7 and b = 8

The line is:

y = - 6/7x + 8

Help me pls :D Make the equations match with the number

Answers

Answer:

18 + s = 33 (drag to 15)

27 = 9 × s (drag to 3)

40 - s = 23 (drag to 17)

5 × s = 35 (drag to 7)

18/s = 3 (drag to 6)

m/5 = 10 (drag to 50)

m + 14 = 18 - m (drag to 2)

m + m + 12 = 22 (drag to 5)

n + 7 = 18 (drag to 11)

n-9 = 22 (drag to 31)


mZLOM= 3x – 15°
mZMON = 5x – 23°
Find mZMON:

Answers

Answer:

57

Step-by-step explanation:

Together both angles equal 90

(3x - 15) + (5x -23) = 90

Combine like terms

8x - 38 = 90

Add 38 to both sides

8x = 128

Divide by 8

x = 16

You can check by replacing x with 16 and seeing if it still equals 90.

To find angle MON... replace x with 16

5(16) - 23

Angle MON = 57

I hope this helps!!

The sum of two numbers is 58.25. The second number is 14 less than 2 times the first number. What are the two numbers?
plz fast

Answers

Answer:

The first number is 24.08 and the second number is 34.17

the 9-dight number that identifies the bank that a check came from is called ​

Answers

Answer:

im pretty sure its the routing number

Step-by-step explanation:

trust me

What is the value of the expression 2/5m−1/3 when m = 3?

1/15

13/15

23/15

I don't know.

Answers

2/5*3= 1 1/5-1/3 =13/15

Answer:

13/15

Step-by-step explanation:

i took the test :)

There is a cookie jar in Julio's kitchen filled with 7 cookies. His mother bakes some more cookies. Now there are 14 cookies. How many cookies did Julio's mother bake.

Answers

The Answer is 7 cookies because she had 7 cookies filled in the jar and after making 7 more it becomes 14 so
Also 7+7=14

help i made it worth a lot of points

Answers

Answer:

36x^6/y^10

Step-by-step explanation:

First evaluate the parentheses, 6x^3 x 6x^3 = 36x^6

y^5 x y^5 = y^10 ; remember m^k x m^r = m^k+r

final answer should be 36x^6/y^10

hope this helps :')

Answer:

[tex] \dfrac{36x^6}{y^{10}} [/tex]

Step-by-step explanation:

First, deal with the exponent 2 outside the parentheses.

Raise each factor to the second power.

[tex] (\dfrac{6x^3}{y^5})^2 = [/tex]

[tex] = \dfrac{6^2(x^3)^2}{(y^5)^2} [/tex]

To raise a power to a power, multiply the powers.

[tex] = \dfrac{36x^6}{y^{10}} [/tex]

Hurry!! Answer it please:))

Answers

Answer:

Option C.

Domain:

{3, 0, 2, 4}

Step-by-step explanation:

The domain is the set of all the values of x.

Answer:

C is the answer!:)

Step-by-step explanation:

Domain is all numbers on the left and range is on the right

Total score:
of 15 points
(Score for Question 1: of 5 points)
1. Graph the function f(x) = sin(x)-2.
Answer:

Answers

Answer:

Step-by-step explanation:

Plz help me NOW I will mark u brainliest

Answers

[tex]m\% \: \: of \: \: p\% \: \: of \: \: n \\ = \frac{m}{100} \times \frac{p}{100} \times n \\ = \frac{m \times p \times n}{100 \times 100} \\ = \frac{mnp}{10000} [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

What is the solution to 12x=4x2+9? x=23

Answers

Answer:

x = 17/12

Step-by-step explanation:

12x = 4 x 2 +9

12x = 8 +9

12x = 17

x = 17/12 After divided

75-7+(6x2)+1 exponent 3 on top of the 1

Answers

Here’s my work to your question. Make note of the principle PEMDAS. Do it in order and make sure you solve future problems, left to right. If you have any concerns drop a comment below!


P - parenthesis
E - exponents
M - multiplication
D - division
A - addition
S- subtraction

Step-by-step explanation:

75-7=68 +(12)+1 exponent 3 meaning one multiplying itself three times so

68+12+1×1×1

80+1×1

80+1

=81

If we identify the points as follows, what are
the inputs to the slope formula?
(-1, -2) and (3, 0)

Answers

Answer:

B

Step-by-step explanation:

Answer:

it is -2

Step-by-step explanation:

i got it right

Describe how to find your x-intercepts ?

Answers

The y-intercepts are points where the graph of a function or an equation crosses or “touches” the y-axis of the Cartesian Plane.

what is the answer to this question

Answers

Answer:

a) 32km

b) 40 miles

Step-by-step explanation:

The black graph is the graph of
y = f(x). Choose the equation for the
red graph.
1
a. y = f (2x)
b
y = f (3)
C. 2y = f(x)
= x
. d. = f(x)
у
-
Enter

Answers

Answer:

Step-by-step explanation:

The answer is d.

The black graph corresponds to the function y = f(x). The function represented in the red graph is y/2 = f(x). Therefore, option d is correct.

What is a graph representing a function ?

A graph representing a function is a visual representation of the relationship between the input values (often called the "domain") and the output values (often called the "range") of the function.

For example, if we have a function f(x) = x^2, we can create a graph by choosing some input values for x (e.g. -3, -2, -1, 0, 1, 2, 3), computing the corresponding output values using the function (e.g. 9, 4, 1, 0, 1, 4, 9), and plotting the points (x,y) = (-3,9), (-2,4), (-1,1), (0,0), (1,1), (2,4), (3,9) on the graph.

Here, the black graph corresponds to the function:

y = f (x).

In the red graph, the y values are increased to two fold but the x-values are the same.

then,

relation between new y values and older function f(x) is :

y/2 = f (x).

Therefore, option D is correct.

Find more on graphs:

https://brainly.com/question/10712002

#SPJ7

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