Find a polynomial f (x) of degree 4 that has the following zeros.
6 (multiplicity 2), –1, 0
Leave your answer in factored form.

Answers

Answer 1

Step-by-step explanation:

The polynomial with given zero's is:

f(x) = a(x - 6)(x - 6)(x - (-1))(x - 0)

Or simplified:

f(x) = ax(x + 1)(x - 6)², here a is the coefficient we don't know

Related Questions

Line l is a reflection in the x-axis of line k. Write an equation that represents line k.

Answers

Answer:

(-4,3)

Step-by-step explanation:

nejsjsjssjsususheheueueyeehejebebe

Answer: y = (5/3)x + -1

Step-by-step explanation:

The slope is -5/3, so since its a reflection in the x - axis, the new slope would be the opposite, 5/3. Now for the +1, you just have to find the y intercept by plotting the dots at the opposite version of the y number that is already there. For example because the point (0,1) has 1 as its y number, you make it into -1, and for example if you have the point (3,-4) since -4 is the y number you change it to 4.

after how many years will £6,000.00 yield a simple interest of £900.00 at 3%​

Answers

Answer:

add 1 Century to divide £6 000 000

Answer:

the answer to your question is 105 I think sorry if it's not

The bag has 99 buttons. Draw more buttons so there are 105 buttons in all. Write the numbers as you count.

Answers

Answer:

100 101 102 103 104 105

Step-by-step explanation:

im kinda confused

A 6 sided die is rolled 2 times. What is the probability of getting a 1 both times ?

Answers

Answer:

Step-by-step explanation:  If you roll the die twice, the probability of getting a even number both times is (1/2)(1/2) ... A probability experiment consists of rolling a 6 sided die

1. If something gets 1 percent better each day, how long will it take it to become 100 percent better than it already is? Round to the nearest day.
2. How many times better will it be in 365 days? Round to the nearest percent.

Answers

Answer:

it would take 100 days for it to get better that just makes sense I think and for number two it would be 365% better

Step-by-step explanation:

Are the two triangles congruent?

Choose 1 answer:


(Choice A)

A-Yes

B-No

C-There is not enough information to say.

Answers

They are not congruent

Jonas is conducting an experiment using a 10-sided die. He determines that the theoretical probability of rolling a 3 is StartFraction 1 over 10 EndFraction. He rolls the die 20 times. Four of those rolls result in a 3. Which adjustment can Jonas make to his experiment so the theoretical and experimental probabilities are likely to be closer?

A.He can decrease the sample space.
B.He can increase the sample space.
C.He can decrease the number of trials.
D.He can increase the number of trials.

Answers

Answer:

A. He can decrease the simple spacw

Answer:

D. He can increase the number of trials

Please help! Grade 7 math

Answers

Answer:

[tex]-\frac{5}{8}\\-9.2%\\\\-0.001[/tex]

-3/4, -5/8, -9.2%, -0.001, 4.6%, 5%, 33%

Step-by-step explanation:

[tex]-\frac{3}{4}=-75[/tex]%                                     4.6%

Let's do the process of elimination to find our answers

[tex]-\frac{5}{8}=-62.5[/tex]% this would be in between because - 62.5% would be after -75%

[tex]\frac{5}{100}=5[/tex]% this fraction equals to a positive percentage which would be after 4 so not this one

[tex]-0.001 = -0.1[/tex]% this number would come after -75%, -62.5%, -9.2%and before 4.6% so this would be one

[tex]-0.75= -75[/tex]% we already have the percentage so not this one

33% this number would come after 4.6% so not this one

-9.2% this would be between them because its -9 and it will be after -75% and -62.5%

solve for x, x-c=r+d/y

Answers

Answer:

D

Step-by-step explanation:

x - c = (r + d)/y                   for x

x = (r +d)/y + c          common denominator : (c/1) (y/1)  = yc

x = (r + d)/y + yc

x =   (yc + r + d)/ y                              

1. Find the coordinates of all points where the lines
x + y = 8, y = 5, and x = 1 intersect.

Answers

Answer:

(3)1. Find the coordinates of all points where the lines

x + y = 8, y = 5, and x = 1 intersect.

Step-by-step explanation:

this answer

The coordinates of all points where the lines x + y = 8, y = 5, and x = 1 intersect are (0, 5), (1, 0), (3, 5) and (1, 7).

Given that;

The equation of lines is,

x + y = 8

y = 5

x = 1

Now all the coordinates of all points where the lines x + y = 8, y = 5, and x = 1 intersect are find as,

x + y = 8

Put y = 5;

x + 5 = 8

x = 8 - 5

x = 3

Put x = 1;

1 + y = 8

y = 8 - 1

y = 7

Therefore, the points are (0, 5), (1, 0), (3, 5) and (1, 7).

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PLEASE HELP WITH THIS ONE QUESTION

Answers

Answer:

g(x) = x(x-2)^2(x-3) -3

Step-by-step explanation:

the translation from f(x) to g(x) is right 1 down 3.

vertical translations are easier since you just add the amount to everything. so we have f(x) - 3 = (x-1)^2(x-2)(x+1) -3.

for the horizontal translation, we make every x into x-1, so now we have (x-1-1)^2 (x-1-2) (x-1+1) - 3 or (x-2)^2(x-3)x -3

looking at the answers it is g(x) = x(x-2)^2(x-3) -3

A snack company makes packages of grapes and honeydew slices. The weight of an individual package of
grapes, G, is approximately Normally distributed with a mean of 3.25 ounces and a standard deviation of 0.91
ounces. The weight of an individual package of honeydew slices, H, is approximately Normally distributed with a
mean of 4.51 ounces and a standard deviation of 2.02 ounces. Assume G and H are independent random
variables. Let D=G-H. What is the probability that a randomly selected package of grapes weighs more than a
randomly selected package of honeydew slices?
O 0.127
O 0.230
0.284
0.334

Answers

Using the normal distribution, it is found that there is a 0.284 = 28.4% probability that a randomly selected package of grapes weighs more than a  randomly selected package of honeydew slices.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean.  After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X. When two normal variables are subtracted, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.

In this problem, for each variable, [tex]\mu_G = 3.25, \sigma_G = 0.91, \mu_H = 4.51, \sigma_H = 2.02[/tex]

For the subtraction, we have that:

[tex]\mu_D = \mu_G - \mu_H = 3.25 - 4.51 = -1.26[/tex]

[tex]\sigma_D = \sqrt{\sigma_G^2 + \sigma_H^2} = \sqrt{0.91^2 + 2.02^2} = 2.2155[/tex]

The probability that a randomly selected package of grapes weighs more than a  randomly selected package of honeydew slices is P(D > 0), which is 1 subtracted by the p-value of Z when X = 0.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{0 - (-1.26)}{2.2155}[/tex]

[tex]Z = 0.57[/tex]

[tex]Z = 0.57[/tex] has a p-value of 0.7157.

1 - 0.715 = 0.284

0.284 = 28.4% probability that a randomly selected package of grapes weighs more than a  randomly selected package of honeydew slices.

A similar problem is given at https://brainly.com/question/24663213

expand and simplify

(y – 2) (+1) (y+3)​

Answers

Answer:

y² + y - 6

Step-by-step explanation:

(y - 2)(+ 1)(y + 3) simplifies to

(y - 2)(y + 3)

Each term in the second factor is multiplied by each term in the first factor, that is

y(y + 3) - 2(y + 3) ← distribute parenthesis

= y² + 3y - 2y - 6 ← collect like terms

= y² + y - 6

Choose the missing step in the given solution to the
inequality -X - 10 > 14 + 2x.
_X
- 10 > 14 + 2x
-3X - 10 > 14
x<-8
0 -3x > 24
0 -3x > 4
0-3x>.
- 4
0 -3x < 24

Answers

Answer:

Step-by-step explanation:

If
x
=
4
and
y
=
7
, evaluate the following expression:
2
(
4
x
+
3
y
)

Answers

Answer:

expression.

2(4x+3y)

2(4(4)+3(7))

2(16+21)

2( 37)

74

What is the rectangular form of theta = 3pi/4?

Please answer this question if you 100% know this answer.

a. x - y = 0
b. x - y = 1
c. x + y = 0
d. x + y = 1

The answer was not a.

Answers

Answer:

  c.  x + y = 0

Step-by-step explanation:

The terminal ray of the angle θ = 3π/4 extends to the upper left through the 2nd quadrant with a slope of -1. It lies on the line ...

  y = -x

  x + y = 0 . . . . . . add x to get this standard form equation

last one i’m almost done.

Answers

Answer:

AFC

Step-by-step explanation:

You can tell by the angles

Calculate 1.015 to the power of 72

Answers

Answer:

2.92 rounded

Step-by-step explanation:

:))

2.92 is the answer if you round it, if you need the answer not rounded let me know.

1. What kind of sequence is this? 44, 57, 70, 83, .. arithmetic ,geometric,
both , neither ​

Answers

Answer:

arithmetic

Step-by-step explanation:

arithmetic

There is a common difference of 13 between each term.

What did you notice about the sums of 7 + (–3) and –3 + 7?

Answers

Step-by-step explanation:

Sum of 7 + (-3) = 7 +.- 3 = 7 - 3 = 4

( As + × - = -)

Sum of -3+7 = 4

We observe that both are same .

Answer:

they both give the same answer

Step-by-step explanation:

7+(_3)=+4

_3+7=+4

Jett is 6 feet 2 inches tall. How tall is he in inches ?

Answers

Answer:

74in

Step-by-step explanation:

Jett is 74 inches tall, as of the given unit conversion condition.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
1 feet = 12 inches

So,
6 feet 2 inch = 6 feet + 2 inch
                    = 6 × 12 inch + 2 inch
                    = 72 + 2
                   = 74 inches

Thus, Jett is 74 inches tall, as of the given unit conversion condition.

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Solve the equation.
2x - 3 + 4x = 21
A)x = -12
B)x= -6
C)x= 4
D)x = 6

Answers

Answer:

C. X=4

Step-by-step explanation:

Both questions 7 and 8

Answers

9514 1404 393

Answer:

  7.  $10,459.28

  8.  $30,060.93

Step-by-step explanation:

Your table 12-2 will tell you the present-value multiplier of the annual payment for a 10-year annuity due will be ...

  7%: 7.515232

  11%: 6.537048

__

7. The 11% table value will be used with a payment of $1600 to find the present value:

  6.537048 × $1600 = $10,459.28 . . . present value of the annuity due

__

8. The 7% table value will be used with a payment of $4000 to find the present value:

  7.515232 × $4000 = $30,060.93 . . . present value of the annuity due

Your deductible expenditures are $8236 for interest on a home mortgage, $3528 for contributions to charity, and $634 for state income taxes. Your filing status entitles you to a standard deduction of $12,200. Should you itemize your deductions rather than claiming the standard deduction? If so, what is the difference?​

Answers

Answer:

yes 198

Step-by-step explanation:

can someone PLEASE help me with this!? I’ve been trying to find the answer but I just couldn’t find it. I’m behind in math and this was due four days ago!!

Answers

Answer:

{-2}

Step-by-step explanation:

Answer:

B)-2

Step-by-step explanation:

In functions, X is your input. Y is the output unless specifically stated otherwise :P

Brainliest? <3

13. Perry drew a design for a number cube
and marked it with the given dimensions,
Find the surface area of the design.

Answers

Answer:

150 cm square

Hope this helps!

Anyone know the answer to this plz ​

Answers

Answer:

Domain: -10 < x < 10

Range: -2 < y < 8

Step-by-step explanation:

Hope this helps!

Assignments
In a lottery, the top cash prize was $633 million, going to three lucky winners. Players pick four different numbers from 1 to 52 and one number from 1 to 41
A player wins a minimum award of $400 by correctly matching two numbers drawn from the white balls (1 through 52) and matching the number on the gold ball (1
through 41). What is the probability of winning the minimum award?
Study Plan
Gradebook
The probability of winning the minimum award is
(Type an integer or a simplified fraction

Answers

The probability of winning the minimum award is very small, approximately 1 in 185 million.

To calculate the probability of winning the minimum award, we need to determine the number of possible outcomes and the number of favorable outcomes.

To win the minimum award, the player needs to match two of the white ball numbers and the gold ball number.

There are (4 choose 2) ways to choose two of the four white ball numbers, and there is only one way to choose the gold ball number. Therefore, the number of favorable outcomes is (4 choose 2) × 1.

So, the probability of winning the minimum award is:

(favorable outcomes) / (total outcomes)

= [(4 choose 2) × 1] / [(52 choose 4) × 41]

= (6 × 1) / (26,827,440 × 41)

= 6 / 1,100,701,040

≈ 0.0000000054 or 5.4 × 10⁻⁹

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The American customer satisfaction index scores of McDonalds restaurants grew from 61 in 2002 to 71 in the year 2014. Find the average rate of change for the data. Show work.

Answers

Answer:

[tex]\large\sf{average\:rate\:of\:change= \frac{6}{5}\:=\:1.2}[/tex]

Step-by-step explanation:

Given the American customer satisfaction index scores that increased from 61 in 2002, to 71 in 2014:

In order to solve for the average rate of change, we could simply use the average rate of change formula:

Average rate of change = Change in output/Change in input

[tex]\huge\sf{Average\:rate\:of\:change\:=\:\frac{\triangle{y}}{\triangle{x}}\:=\:\frac{(y_2\: -\: y_1) }{(x_2\: -\: x_1)}}[/tex]

Let (x₁, y₁) = (61, 2002)

    (x₂, y₂) = (71, 2014)

Substitute these values into the average rate of change formula:

[tex]\BIGG\sf{Average\:rate\:of\:change\:=\:\frac{\triangle{y}}{\triangle{x}}\:=\:\frac{(y_2\: -\: y_1) }{(x_2\: -\: x_1)}\:=\frac{2014\:-\:2002}{71\:-\:61}\:=\:\frac{12}{10}\:=\:\frac{6}{5}}[/tex]

[tex]\large\bf\sf{Therefore,\:the\:average\:rate\:of\:change= \frac{6}{5}\:=\:1.2}[/tex].

Find the equation of the line through (2,1) which is parallel to the line y=−7x−1.
Give your answer in the form y=mx+b

Answers

Answer:

y=-7x+15

Step-by-step explanation:

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