Check all of the polynomial functions that have 2 as a root.
h(m) = 8 – m3
f(g) = g3 – 2g2 + g
f(a) = a3 – 4a2 + a + 6
f(x) = x3 – x2 – 4

Answers

Answer 1

Answer:

Explained below

Step-by-step explanation:

Polynomial Roots

If x=a is a root of f(x), then f(a)=0

We will test the following functions to check if a=2 is a root.

[tex]h(m)=8-m^3[/tex]

[tex]h(2)=8-2^3=8-8=0[/tex]

Thus m=2 is a root of h

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

[tex]f(2)=2^3-2\cdot 2^2+2[/tex]

[tex]f(2)=8-2\cdot 4+2=8-8+2=2[/tex]

Thus g=2 is not a root of f

[tex]f(a) = a^3 - 4a^2 + a + 6[/tex]

[tex]f(2) = 2^3 - 4\cdot 2^2 + 2 + 6[/tex]

[tex]f(2) = 8-16+8=0[/tex]

Thus a=2 is a root of f

[tex]f(x) = x^3 - x^2 - 4[/tex]

[tex]f(2)=2^3 - 2^2 - 4[/tex]

[tex]f(2)=8 - 4 - 4=0[/tex]

Thus x=2 is a root of f

Answer 2

Answer:

answers are A, C, and D

Step-by-step explanation:

THIS IS CORRECT


Related Questions

Can anyone answer this its due in 5 minutes

Answers

I’m pretty sure it’s c

Answer:

c. n//p

Step-by-step explanation:

Given h(x)=-x-4h(x)=−x−4, solve for xx when h(x)=9h(x)=9.

Answers

Answer:

[tex]x=-5[/tex]

Step-by-step explanation:

Given [tex]h(x)=-x-4[/tex], solve for x when [tex]h(x)=9h(x)=9[/tex].

First we need to figure out what number multiplied by 9 is equal to 9. This number is 1. [tex](1*9=9)[/tex]

Therefore, we know that h(x) should be equal to 1 in order for 9 times h(x) to equal 9.

Create an equation where h(x) = 1.

[tex]h(x)=1 \\ (-x-4)=1[/tex]

Solve this equation by adding 4 to both sides of the equation.

[tex]-x=5[/tex]

Divide both sides of the equation by -1 to isolate x.

[tex]x=-5[/tex]

Check your answer by substituting -5 for x back into the equation to make sure h(x) = 1.

[tex]-(-5) - 4 = 1[/tex]

If [tex]h(x)=1[/tex], then the statement  [tex]9h(x) =9[/tex] is true, verifying our answer for x is correct.

the flag of the bahamas includes an equilateral triangle. the perimeter of the triangle is p=3s, where s is the side length. use your formula to find the dimensions of the flag in feet and the area in square feet when the perimeter of the triangle is 126 inches​.

Answers

Answer:

345

Step-by-step explanation:

3!

Triangle ABC is located in the third quadrant of a coordinate plane. If triangle ABC is reflected across the −axis to obtain triangle, A’B’C’, which statement is true? A. Triangle A’B’C’ lies in quadrant II and is congruent to Triangle ABC B. Triangle A’B’C’ lies in quadrant IV and is congruent to Triangle ABC C. Triangle A’B’C’ lies in quadrant II and is not congruent to Triangle ABC D. Triangle A’B’C’ lies in quadrant IV and is not congruent to Triangle ABC

Answers

Answer:

The answer is B

Step-by-step explanation:

Answer:

It’s Triangle A’B’C’ lies in quadrant II and is congruent to Triangle ABC

Step-by-step explanation:

I just took the test

Rewrite in simplest terms: -(3c - 8) - 3c​

Answers

Answer:

3c -8 -3f = Kc-

Step-by-step explanation:

Answer:

did da work :)

Step-by-step explanation:

−1.64 as a mixed number in simplest form.

Answers

Convert to a mixed number by placing the numbers to the right of the decimal over 100. Reduce the fraction. Then, convert the mixed number to an improper fraction by multiplying the denominator by the whole number and adding the numerator to get the new numerator. Place this new numerator over the original denominator.

-41\25

Which equation shows an example of the associative property of addition?
(4+1) + 4 = 4 + (i + 41)
(4 + 1) + 41 = 4j + (-41 + 1)
4 • (-41 + 1) = (41 – 41) + (41 - 1)
O (-41 + 1) + 0 = (-41 + 1)

Answers

Answer:

A i think

Step-by-step explanation:

It’s A,I’m sure it is or just look it up but tbh I need more points

Lily says that 1,234.56 = 1 x 10+2 x 102 +3 x 10' + 4 x 10° + 5 x 10-' + 6 x 10-2.
Do you agree? Explain.
Your answer

Answers

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex]10 + 200 + 30 + 4 + 0.5 + 0.06 = 244.56 \\ [/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Thus I don't agree.

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

will give brainliest for correct answer

Answers

Answer:90

Step-by-step explanation:

3/8 divided by 2/5??

Answers

Answer:

15/16

Ste

Step-by-step explanation:

Keep, Change, Flip.

(1) Keep the first fraction, 3/8.

(2) Change the sign from a division sign to a multiplication sign.

(3) Flip the last fraction, 2/5 --> 5/2.

(4) Multiply across.

3/8 x 5/2= 15/16

The 3/8 divided by 2/5 is equal to 15/16.

To divide fractions, multiply the first fraction by the reciprocal of the second fraction.

To divide 3/8 by 2/5:

(3/8) ÷ (2/5) = (3/8) × (5/2)

Now, let's multiply the numerators and denominators:

(3 × 5) / (8 × 2) = 15/16

To know more about equal  here

https://brainly.com/question/34332175

#SPJ6



Leora had some money in her wallet. She spent $18.62 buying groceries and had $43.55 left. How much money did she
have in her wallet before she bought the groceries?

Answers

Answer:

$62.17

Step-by-step explanation:

18.62 + 43.55 = 62.17

Answer:

$62.17

Step-by-step explanation:

we can find out how much she had before she bought groceries by adding the amount she spent to the amount she had left.

43.55 + 18.62 = 62.17

therefore, the answer is $62.17

The product of 7 and a number is greater than 42. If the
number is a whole number less than 10, what could the number
be?

Answers

Answer:

6

Step-by-step explanation:

Marisa runs a 400 meter race in 80 seconds. What is Marishas average speed for the race?

Answers

Answer:

5 meters per second

Step-by-step explanation:

average speed = total distace / total time

400 meters / 80 seconds = 5 meters per second

WILL GIVE BRAINLIEST If a triangle is acute, then all three angles have a measure of 60°. Provide a counterexample to show that the statement is false. A) The three angles could be 30°, 30°, and 30° B) The three angles could be 30°, 60°, and 90° C) The three angles could be 30°, 70°, and 80° D) The three angles could be 30°, 30°, and 120°

Answers

Answer:

Answer C

Step-by-step explanation:

This is because acute triangles have angles that are under 90 degrees and Option A would be true to what you are trying to make false and B & D are false because they have angles that go over 90 degrees.

The other statements that provide contradiction to the given expression are option (B) and (C).

What is a acute triangle?

An elementary polygon having three sides and three vertices is a triangle. There are three internal angles since it has three sides. An acute angle is one that ranges in measurement from 0° to 90°. A form of triangle called an acute triangle has acute angles at each of its three internal angles.

In the option (A),

the three angles could be 30°, 30°, and 30°.

These angles contradict the basic property of triangle.

Which is sum of all the triangles are 180°.

In the option (B),

the three angles could be 30°, 60°, and 90°.

The above angles hold the property of an acute triangle.

In the option (C),

The three angles could be 30°, 70°, and 80°.

The above angles also hold the property of an acute triangle.

In the option (D),

The three angles could be 30°, 30°, and 120°.

Angle 120° greater than 90°.

This statement contradicts the basic property of an acute triangle.

Therefore, the other statements that provide contradiction to the given expression are option (B) and (C).

To learn more about the acute triangle;

https://brainly.com/question/1311149

#SPJ2

(MC 02.03)

What set of reflections and rotations would carry rectangle ABCD onto itself?

Rectangle formed by ordered pairs A at negative 4, 1, B at negative 4, 2, C at negative 1, 2, D at negative 1, 1.

(4 points)

Group of answer choices

Rotate 180°, reflect over the x-axis, reflect over the line y=x

Reflect over the y-axis, reflect over the x-axis, rotate 180°

Reflect over the x-axis, rotate 180°, reflect over the x-axis

Rotate 180°, reflect over the y-axis, reflect over the line

Answers

Answer:1st option

Step-by-step explanation:

The mass of an adult North Pacific right whale is about 70,000 kg, or 7 x 104
kg.
The mass of a male African elephant is about 7000 kg, or 7 x 103 kg.
About how many times more massive is the right whale than the African
elephant?
O A. 1.1 times
O B. 63,000 times
O C. 1x 10-7 times
O D. 1x 101 times

Answers

Answer:

d

Step-by-step explanation:

your mother told me the answer last night

A mini-fridge is priced at $225. There is a 6% sales
tax rate. What is the sales tax for the mini-fridge in
dollars and cents?

Answers

$13.50

as 225*0.06 (6%) = 13.5

pls help with geometry!! will mark brainliest

Answers

Answer:

x = 6°

y = 15°

Step-by-step explanation:

90 + 6y = 180 (linear pair, supplementary)

6y = 90 (180 - 90)

y = 15°

6y and 5x + 60 are corresponding angles. Corresponding angles are equal

Hence:

6y = 5x + 60

Sub y = 15° into equation

90 = 5x + 60

90 - 60 = 5x

5x = 30

x = 6°

Evaluate the function, f(m) = 13 - 3m, when m is 4
f(4) = ​

Answers

Answer:

f(4)= 13-3(4)

4f= 13-12

4f=1

Answer:

1

Step-by-step explanation:

f(4)=13-3m (where m=4)

f(4)= 13-3×4

f(4)= 14-12

hence f(4)= 1

Which values from this set {−36, −32, −16, 0, 4, 16} satisfy this inequality? −14x+6≥14 −32, −16, 0, 4, and 16 only 0, 4, and 16 only −36, −32, and −16 only −36 and −32 onlyWhich values from this set {−36, −32, −16, 0, 4, 16} satisfy this inequality? −14x+6≥14 −32, −16, 0, 4, and 16 only 0, 4, and 16 only −36, −32, and −16 only −36 and −32 only

Answers

Answer:

Step-by-step explanation:

Given the inequality −14x+6≥14, we are to find the range of x that will make the inequality true.

Given −14x+6≥14

Subtract 6 from both sides.

−14x+6-6≥14-6

-14x≥8

-7x≥4

Multiply both sides by -1

-(-7)x≤-4

7x ≤ -4

x≤-4/7

This shows that the values of x is always less than or equal to -0.57

Hence the values less tan the value of x in the inequality are -36, -32 and -16

x/16- (x+2)/8=2 pls help, need answer soon.

Answers

Answer:

x = -36

Step-by-step explanation:

Step 1: Write equation

x/16 - (x + 2)/8 = 2

Step 2: Solve for x

Multiply both sides by 16: x - 2(x + 2) = 32Distribute -2: x - 2x - 4 = 32Combine like terms: -x - 4 = 32Add 4 to both sides: -x = 36Divide both sides by -1: x = -36

Step 3: Check

Plug in x to verify it's a solution.

-36/16 - (-36 + 2)/8 = 2

-9/4 - -34/8 = 2

-9/4 + 17/4 = 2

8/4 = 2

2 = 2

What is the slope of the line on the graph?

Enter your answer in the box.

Answers

Answer:

it cute

Step-by-step explanation:

are you a cute boy

The slope would be one

4. (03.03 HC)
The table shows the outputs, y, for different inputs, x:
Input 2 4 6 8
Output
(y)
1 2 3 4
Part A: Do the data in this table represent a function? Justify your answer. (3 points)
Part B: Compare the data in the table with the relation f(x) = 3x - 10. Which relation has a greater value when x = 8? (2 points)
Part C: Using the relation in Part B, what is the value of x if f(x) = 80? (5 points)
(10 points)

Answers

Answer:

A: The data does represent a function because there are no repeating x values. a function can have repeating y values but cannot have repeating x values. Also, there is one value of y for every value of x.

B: f(x)=1/2x

f(x)= 3x-10

f(8)=1/2(8) ----> 4

f(8)=3(8)-10 ----> 14

f(x)=3x-10 has a greater value when x=8

C:  f(x)=1/2x

f(x) = 80

80=1/2x  

80*2=x

x=160

Step-by-step explanation:

The data in the table is a function. The relation has f(x) = 3x - 10 has greater value when x = 8. And the value of x is 30 when f(x) = 80.

What is Function?

A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.

Part A :

The table has the data values,

x : 2  4  6  8

y : 1  2  3  4

The given data represents a function, because elements in the domain (2, 4, 6 and 8) has only one image in the Range (1, 2, 3 and 4).

Part B :

f(x) = 3x - 10

x = 2, then f(x) = y = -4

x = 4, then f(x) = y = 2

x = 6, then f(x) = y = 8

x = 8, then f(x) = y = 14

The relation f(x) = 3x - 10 has the greater value when x = 8.

Part C :

f(x) = 80

3x - 10 = 80

3x = 80 + 10

3x = 90

x = 90 / 3

x = 30

Hence the relation in the table is a function. The second relation f(x) = 3x - 10 has the greater value when x = 10 after computing the values of both the relations.

To learn more about Functions, click :

https://brainly.com/question/6241820

#SPJ2

Given f(x) = -x + 2, find f(6).

Answers

f(x) = -x+2, Find f(6)

f(6) = -6+2

f(6) = -4

The Answer is -4

China is known as the most populous country in the world with an estimated population of 1,400,000,000 while the United States of America has an estimated population of 328,000,000. To the nearest person, how many times greater is the population of China than the population of the United States of America?

Answers

Answer:

China has 1,072,000,000 more people

Step-by-step explanation:

what is 96 divided by 4

Answers

Answer:

24

Step-by-step explanation:

80m15 + 72m12 − 32m10

Answers

Answer:

I dont know If this is what your looking for but Answer=1744m

HELP DESPERATE WILL GIVE BRAINLIST FOR CORRECT ANSWER

Answers

Answer:

Look at the picture I attached!

Step-by-step explanation:

!!

very faint but the number in the root thing is 114 :) help please!!

Answers

dear I think the figure under the root is 144

14²- √144

(14 ×14) -12

the square root of 144 is 12

196 -12

184

Answer: "dookie dookie dookie"

*picture of the most trash game

how many times do 8 go into 18?

Answers

Answer: 2.25

Want free points?! Want free brainliest?! Come to my profile and just answer one of my questions. I am YOUR community builder who gives free things. ("Thanks" on ur profile, points, hacks, brainliest, etc.)

Put me as brainliest so I can receive 50% more points!

Answer:

2.5

Step-by-step explanation:

Other Questions
Which statement best describes the Defense of Marriage Act of 1996?It gave gay and lesbian couples the right to marry.It gave interracial couples the right to marry.It recognized only marriage between a man and a woman.It only recognized marriages between people of the same race. Two cars start traveling in the same direction around a circular road that is 80 km long. The speed of one car is 92 km/h and the sped of the other is 68 km/h.a:How many minutes after the two cars start traveling will one car lap the other? Anti or fed? 1. Throughout U.S. history, states have a long history of violating the rights of their citizens. What is the verb and subject in the sentences Behind the chair hid the small child How is the simile used in this sentence? Please help will give brainliest if correct, Thank you! pls How long does it take a dropped object to fall 45 meters? Raquel can type 63 words every minute. Rick can type 73 words every minute. How many more words can Rick type than Raquel in 135 minutes? Group of answer choices Steve drew line segments CDEF, GHI, ADH, and BEH as shown in thediagram below. Scalene ADEH is formed.If segment CDEF is parallel to segment GHI, which statement is true? * Living cells are classed as either prokaryotic or eukaryotic. Which of the following characteristic(s) identify both cell types, eukaryotic cells and prokaryotic cells? Select all that apply. have a nucleus contain cytoplasm comprise most multi-celled organisms mostly single-celled organisms have membrane-bound organelles are the smallest unit of living matter are produced by division of another cell contain DNA investigar que diferencia hay sobre el vedrinismo y postumismo.A que llamamos modernidad? ____ is when a designer must make a choice between a positive and negative impact for a productAnswer: A trade off PLEASE HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP Please help! Will give brailiest! What is 96 +3? im a little confused when it comes to math The maximum amount of statie friction between this chairand the floor is 175 N.Which action would cause the chair to move to the left?A. Applying 100 N of force to the chair from the leftB. Applying 200 N of force to the chair from the leftO c. Applying 200 N of force to the chair from the rightO D. Applying 100 N of force to the chair from the right How are plants,animals,and bacteria alike A student calculated the density of copper to be8.37 g/cm3. The accepted value for the density ofcopper is 8.92 g/cm3. What is the percent error in thedensity? If a gold bar is 16,000 g mass and 800 cm^3 volume what is the density? What is the farmer saying in this sentence? A national government will not obey the law. A national government will not be able to fairly solve arguments between states. A national government will not be damaged by disagreements between states. Skyler solved an equation incorrectly, as shown below:Step 1: 12 + x = 36Step 2: x = 36 + 12Step 3: x = 24Which statement best explains why Step 2 is incorrect in Skyler's solution?