Which polynomial when factored gives the zeros for the polynomial shown in the graph? -) A) x3 + 8x2 + 21x + 18 B) x3 - 2x2 - 9x + 18 x3 - 4x2 – 3x + 18 D) x3 - 8x2 + 21x - 18​

Answers

Answer 1

The function of the polynomial graph when factored is (d) [tex]f(x) = x^3 - 8x^2+ 21x - 18[/tex]

From the question (see attachment), we have the following highlights:

The graph crosses the x-axis at x = 2.The graph touches the x-axis at x = 3

This means that:

The graph has a multiplicity of 1 at x = 2The graph has a multiplicity of 2 at x = 3

So, the function of the graph is:

[tex]f(x) = (x - 2)(x - 3)^2[/tex]

Expand the exponent

[tex]f(x) = (x - 2)(x^2 - 6x + 9)[/tex]

Expand

[tex]f(x) = x^3 - 6x^2 + 9x - 2x^2 + 12x - 18[/tex]

Collect like terms

[tex]f(x) = x^3 - 6x^2 - 2x^2+ 9x + 12x - 18[/tex]

[tex]f(x) = x^3 - 8x^2+ 21x - 18[/tex]

Hence, the function of the graph is (d)

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Which Polynomial When Factored Gives The Zeros For The Polynomial Shown In The Graph? -) A) X3 + 8x2

Related Questions

james ran 1 mile in 8 minutes in the morning and 3.5 miles in 28 minutes in the evening

Answers

cool, what's the question?

Help‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️

Answers

Answer:

B

Step-by-step explanation:

The equation of a line passing through the origin is

y = mx ( m is the slope )

Consider the points (0, 0 ) and (2, 100 )

slope = [tex]\frac{rise}{run}[/tex] = [tex]\frac{100}{2}[/tex] = 50

Then

y = 50x

At the aquarium, posters of sharks cost $2 and posters of jellyfish cost $6. Mr. Benson spent $64 to buy 12 posters. How many of each type of poster did Mr. Benson buy?

Answers

Answer:

8

Step-by-step explanation:

Step 1: Add the cost of the posters together

Shark: 1 = $2

Jellyfish: 1 = $6

2 + 6 = 8

Step 2: Divide the result by the total amount Mr. Benson spent

64 ÷ 8

[tex]= \frac{64}{8}[/tex]

[tex]= 8[/tex]

Therefore, Mr. Benson bought 8 of each type of poster.

UESTION 5

When Janya was in 6th grade, she invested $1000 into an account that earns 15% interest, compounded quarterly. Six years later, she is a senior and she wants to withdraw the interest earned to help with college expenses. She will learn the initial investment of $1,000 in the account. How much will she withdraw?

a. $2,419

b. $1,150

c. $1,000

d. None of the above

Answers

The amount she will withdraw is $2,419.44. (option d)

How much will she withdraw?

The interest earned in the account is the difference between the amount invested and the future value of the investment.

Interest earned = future value - amount invested

The formula for calculating future value:

FV = P (1 + r)^nm

Where:

FV = Future value P = Present value R = interest rate = 15%/4 = 3.75%m = number of compounding= 4N = number of years

FV = 1000 x (1 + 0.0375)^(6 x 4)

= 1000 x (1.0375^24) = $2,419.44

Interest earned = $2,419.44 - $1000 = $1,419.44

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in a bag, there are 5 red marbles, 2 blue marbles and 3 purple marbles. what is the probability of drawing a purple marble

Answers

Answer:

The probability of drawing a purple marble is 3/10

In a right triangle, a and b are the lengths of the legs and c is the length of the hypotenuse. Of a = 7 miles and b = 3 miles, what is the perimeter? If necessary, round to the nearest tenth.

Answers

Answer:

17.6 miles.

Step-by-step explanation:

Use Pythagoreans Theorem to find c.

a^2+b^2=c^2

49 + 9 = c^2

58 =c^2

√58=c

7.6=c

Now add all of your sides together to find the perimeter.

7 + 3 + 7.6 = 17.6 miles.

The perimeter of the triangle is 17.6 units.

What is the Pythagorean theorem?

The Pythagorean theorem says that the sum of the square of the perpendicular and the base will be equal to the square of the hypotenuse of the right-angle triangle.

Using the Pythagorean theorem, we can find the length of the hypotenuse c:

c² = a² + b²

c² = 7² + 3²

c² = 58

c = √58 ≈ 7.6 miles

The perimeter is the sum of the three sides:

Perimeter = a + b + c

Perimeter = 7 + 3 + 7.6

Perimeter ≈ 17.6 miles

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please I've been looking for an answer to this question​

Answers

Answer:

x = 9cm

using sine rule

a/sine(A) = b/sine(B)

a= x; A= 64° ( alternating angles)

b= 10 cm ; B = 90°

x/sine(64) = 10/sine(90)

x= {10 × sin(64)}/ sin 90

x = 9cm

Answer:

650

Step-by-step explanation:

Ms. Hernandez has $100 to spend on parking and admission to the zoo. The parking will cost $7.00, and admission tickets will cost $15.50 per person, including tax. Write an equation that can be used to determine the number of people that she can bring to the zoo, including herself.

Answers

Answer:

100_7=93....93/15.5=6

Step-by-step explanation:

6 persons include her

Answer:

$100 = (15.50x) + 7.00

Step-by-step explanation:

100-7 -= 93

93/15.5 = 6

x=6 (people including herself)

Solve by substitution. Please show work
Y=-3x-14
-2x-y=9

Answers

Answer:

The value of x is -5 and y is 1

Step-by-step explanation:

Here,

y = -3x - 14

-2x - y = 9

Substitution Method

y = -3x - 14 ...(1)

-2x - y = 9 ...(2)

Now, substitute the value of y = -3x - 14 in equation (2) we get,

-2x - y = 9

-2x - (-3x - 14) = 9

-2x + 3x + 14 = 9

x = 9 - 14

x = -5

Now, put the value of x in equation (1) we get,

y = -3x - 14

y = -3(-5) - 14

y = 15 - 14

y = 1

Thus, The value of x is -5 and y is 1

FOR VERIFICATION ONLY:

y = -3x - 14

1 = -3(-5) - 14

1 = 15 - 14

1 = 1

-2x - y = 9

-2(-5) - 1 = 9

10 - 1 = 9

9 = 9

Hence, L.H.S = R.H.S

-TheUnknownScientist

How many significant figures does the following number have: 0. 0 0 2 0 4 0

Answers

Answer:

Four significant figures

Step-by-step explanation:

Rules of significant figure:

1. Zeros before any non-zero digit are considered to be NON-significant.

2. Any zeros between any non-zero digits are SIGNIFICANT

0.505

Here, there are three significant digits: 505

3. Any zeros that are to the right of the decimal point and a non-zero number are SIGNIFICANT.

4.0000

4. All non - zero digit are significant

Therefore,

0.002040 has four significant figures

2040

pls help i need this done very soon :

Answers

5x+6=1
X= -1
Because you first subtract the 6 to 1 and that equals -5 than you divide the -5 by 5 and that equals -1.

To which rational number subset(s) do the following numbers belong?

1, 4, 7, 11, 14
A.
whole numbers and integers only
B.
whole numbers and natural numbers only
C.
natural numbers and integers only
D.
natural numbers, whole numbers, and integers

Answers

None of the numbers are fractions or decimals.

The answer would be

D. natural numbers, whole numbers, and integers

What is the measure of ∠B?

Answers

Answer:

m<B = 60

Step-by-step explanation:

Exterior angle thm:

3x + 4x = 10x - 45

7x = 10x - 45

7x - 10x = -45

-3x = -45

x = 15

<B:

4x

4(15)

60

help help help help please

Answers

Answer:

44 ice cream scoops

Step-by-step explanation:

if wrong will give point back and mark brainlyest

A diver is currently at an elevation of -380 feet. Write an absolute value statement to express the diver's distance, in feet, from sea level. Then, interpret the result in this situation by explaining what this means for the diver.

Answers

Answer:

The diver is at a distance of 380 feets below sea level

Step-by-step explanation:

An absolute value statement which is equivalent to being at an elevation of - 380 feets is to relate the position to being above or below sea level.

Elevation below sea level are represented as negative while elevations above take positive values.

The sea level represents a midpoint or zero point for representibg distances.

Hence, at - 380 feets, the diver is at a distance of 380 feets measured for the sea level below.

Find the value of x

Answers

Answer:

[tex]x=26[/tex]

Step-by-step explanation:

[tex]x^2=13(13+39)\\[/tex][tex]x^2=13(52)[/tex][tex]x^2=676[/tex][tex]x=26[/tex]

✧༝┉┉┉˚*❋ ❋ ❋*˚┉┉┉༝✧

hope it helps...

have a great day!!

Use the graph that shows the solution to f(x)=g(x). f(x)=1+2x/x g(x)=2+x What is the solution to f(x)=g(x)?

Answers

The solution if h(x) = g(x) is ±1

Solution to set of functions

Given the following functions

h(x)=1+2x/x

g(x)=2+x

The solution of the function occur at h(x) = g(x)

If h(x) =  g(x), then;

1+2x/x  = 2 + x

Cross multiply

1+2x = x(2+x)

1 + 2x = 2x + x^2

Equate the resulting expression to zero to have;

x^2 = 1

x = ±1

Hence the solution if h(x) = g(x) is ±1

Learn more on solution to function here: https://brainly.com/question/10439235

Answer:

Step-by-step explanation:

Please help! Struggling with this a bit

Answers

Answer:

Rate of change= 9   Starting amount= 65

The equation would be y= 9x + 65

After 9 months, he would have 146 vreels

For the graph, put the points (0, 65) (2, 83) and (4, 101)

If, f(x) = x^2 + 3x -2, then f(a + 1) =

I hate homework

Answers

Answer:

Step-by-step explanation:

nncdsncnklnklnckas

What value of x makes the equation 5log 5x = 5 true?

a) x=0
b) x=1/5
c) x=1
d) x=2​

Answers

I think the answer is C

Answer: x = 2

Step-by-step explanation:    5 log (5·2) 5 log (10)  =5, because

log(10 ) = 1

Two employees of Frontier Fence Company can install 100 feet of fence in two days. Help a. What is the unit rate for one employee? b. Write a proportion to show the relationship between this rate and 150 feet of fence. c. At this same rate, how many employees are needed to install 150 feet of fence in one day? -2020 CPM Educational Program. All rights reserved.​

Answers

Answer:25/day

Step-by-step explanation:

Find The area of the shape
A. 49 square units
B. 42 square units
C. 33 square units
D. 30 square units

Answers

Answer:

[tex]\huge\colorbox{pink}{✏﹏ \: C. 33 square units \: }[/tex]

Step-by-step explanation:

Count the number of squares inside the figure. There are a total of 33 squares. This is the area of the figure.

Answer: C

To find the area all you have to do is count the squares inside the shape. In this example there are 33 squares. Hope this helped!

Can someone please help me with this question please please help me I really really need help please.

Answers

Answer:

1st : neither linear nor nonlinear

2nd: nonlinear

3rd: linear

4th: both linear and nonlinear

At practice, Diego does twice as many
push-ups as Noah, and also 40 jumping jacks. He does 62 exercises in total. The equation 2+40=62 describes this situation. What does the variable represent? Explain your choice.

a. The number of jumping jacks Diego does

b. The number of push-ups Diego does

c. The number of jumping jacks Noah does

d. The number of push-ups Noah does

Answers

Answer:

the number of push ups noah does

Step-by-step explanation:

Whatz 3x+2x+9x=x
slove plz

Answers

Answer:

14x=x

inequal or no solution

hope this helps

have a good day :)

Step-by-step explanation:

help pls!!! no links pls
A dartboard is made up of concentric circles with the
following radii:
D
Circle A: r = 2 inches
Circle B: r = 4 inches
Circle C: r = 6 inches
Circle D: r = 10 inches
What is the probability that a dart will NOT hit inside the C circle?
(This means it could hit in either the C, B or A circle and be good).
Round your answer to the nearest percent.
(No % sign, just numbers)

Answers

Answer:

64%

Step-by-step explanation:

get all the inches and divide by the amount of circle C,then subtract the first 2 numbers by 100%

y is directly proportional to x^2
If y = 8 when x = 2
find x when y = 32

Answers

Answer:

4 or -4

Step-by-step explanation:

Y is directly proportional to x^2 means there is a constant, k, such that y=kx^2.

We are given y=8 when x=2. This information will allow us to find k in the equation y=kx^2.

8=k(2)^2

8=k(4)

This implies k=2 since 2(4)=8.

So the equation for any pair (x,y) is y=2x^2.

We want to find x when y=32.

32=2x^2

32/2=2x^2/2

16=x^2

This implies x=4 or -4.

hello please help i’ll give brainliest

Answers

Answer:

The answer is A

PLEASE HELP
Mrs. Ameldo's class has 5 students with blue eyes, 7 with brown eyes, 4 with hazel eyes, and 4 with green eyes.
Two students are selected at random. Find each probability.
HINT: These events are DEPENDENT

a) Probability of selecting a green-eyed student, and then a brown-eyed student = ___
1. 11/20
2. 7/100
3. 7/95
4. 7/10

b) P(two blue) = ___
1. 1/20
2. 5/20
3. 1/19
4. 2/5
Be sure to reduce your fractions!
(Remember, once a blue-eyed student is picked, there will be ONE LESS blue-eyed student and ONE LESS student in total.)

PART 2
a) P(hazel then blue) = ___
1. 1/19
2/ 7/380
3. 1/20
4. 1/2

b) P(brown then blue) = ___
1. 7/80
2. 7/76
3. 3/5
4. 1/4

Answers

Answer:

please mark my answer as brainliest:

7/100, 1/19

1/20, 7/80

Step-by-step explanation:

firstly, figure out the total amount of students:

5+7+4+4=20

remember that dependant variables means you have to multiply the values

a)

figure out probability of choosing a green eyed student:

4/20

figure out probability of choosing a brown eyed student:

7/20

multiply values:

4/20 x 7/20 = 7/100

b)

probability of choosing a blue eyed student:

5/20 = 1/4

probability of choosing another blue eyed student:

4/19 (bc theres 1 less)

multiply:

1/4 x 4/19= 1/19

PART 2

a)

probability of choosing a hazel eyed student:

4/20

probability of choosing a blue eyed student:

5/20 = 1/4

multiply:

4/20 x 1/4 = 4/80= 1/20

b)

probability of choosing a brown eyed student:

7/20

probability of choosing a blue eyed student:

5/20 = 1/4

multiply:

7/20 x 1/4 = 7/80

Help on this question

Answers

Step-by-step explanation:

always write what you know

circumference

U = 2 x pi x r

r = d/2

U = 39.25

rearrange and solve for r

U / (2 x pi) = r

solve for diameter

2r = d

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