Find all zeros (real and complex) for the function f(x)=x^3-5x^2+9x-5

Answers

Answer 1

Answer: $f(x)=x^3-5x^2+9x-5\n f(x)=x^3-x^2-4x^2+4x+5x-5\n f(x)=x^2(x-1)-4x(x-1)+5(x-1)\n f(x)=(x-1)(x^2-4x+5)\n\n (x-1)(x^2-4x+5)=0\n\n x-1=0\n x=1\n\n x^2-4x+5=0\n x^2-4x+4+1=0\n (x-2)^2=-1\n x-2=i \vee x-2=-i\n x=2+i \vee x=2-i\n\n x=\{1,2-i,2+i\}$

Related Questions

08.01)Marlow wants to know how many students in his school enjoy watching the TV news. He asks all 27 students in his art class and finds that 30% of his classmates enjoy watching the TV news. He claims that 30% of the school's student population would be expected to enjoy watching the TV news. Is Marlow making a valid inference about his population?No, it is not a valid inference because he asked all 27 students in his art class instead of taking a sample from the school No, it is not a valid inference because his classmates do not make up a random sample of the students in the school Yes, it is a valid inference because he asked all 27 students in his art class Yes, it is a valid inference because his classmates make up a random sample of the students in the school  Question 2 (Multiple Choice Worth 5 points) (08.01)Carl takes a random sample of 100 students in his school and finds that 72% of the sample prefers pizza over burgers. There are 1,500 students in the school. Based on the sample proportion, how many students in the school would be expected to prefer pizza over burgers? 72 100 1,080 1,500
The function g(x) represents f(x) = 9 cosine (x minus StartFraction pi Over 2 EndFraction) + 3 after translating StartFraction pi Over 6 EndFraction units left and 4 units up.Which equation represents g(x)?
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Please Help! Brainliest going!
Use the distributive Property to evaluate the expression(-12) (6 + 4)

The standard baseball measures 2 11/16" in diameter. What is its volume (to the nearest hundredth)?

Answers

Answer:

$10.16$ inch³

Step-by-step explanation:

The shape of a baseball is sphere. Given that, the diameter of the baseball is $2(11)/(16)$ inches.

So radius will be,

$=(2(11)/(16))/(2)$

$=((43)/(16))/(2)$

$=(43)/(32)$ inches.

We know that, the volume of a sphere is,

$V_(sphere)=(4)/(3)\pi r^3$

$=(4)/(3)\pi \left((43)/(32)\right )^3$

$=10.163\appox =10.16$ inch³

if the diameter = 2+11/16 inches, radius=diameter/2= 1+11/32 inches

volume of a sphere is (4/3)pi*r^3 = 10.16

Consider the quadratic function f(y) = 8y^2 – 7y + 6. What is the constant of the function?

Answers

6 is the constant of the equation

Solve the equation step by step. List each step, along with the property you used during that step. -5 x 1 X 11 X 4

Answers

You can do any problem first because they will all come out to be the same answer. The property that I am going to be using for all of them is commutative property of multiplication. -5*1=-5 is the first step you could do. -5*4=-20, it doesn't matter is you skip a number or not it will be okay. -20*11=-220. You can start with any one and the answer will still be -220.

Pleas helpThe cube has a volume of 27 in3.

Find the volume of a scaled image with a scale factor of 2.

? in3

Cube with a side length of three inches

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Actual cube has sides ∛27 = 3 inches.

When you scaled it with a factorof two, each side will become 3 x 2 = 6 inches.

The volume of the new cube is (6 in)^3 = 216 in^3

Realize that you could calculate it by raising the scale factor to the third power.

2^3 = 8

27 x 8 = 216

*- 27 cubed by 2!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

The following data list the number of previous jobs held by state prisoners in one cell block:3, 1, 1, 2, 1, 0, 2, 1, 0, 8, 4, 3, 1, 2, 1, 9, 2, 1, 7, 0, 7, 2, 0, 1, 3. Draw a bar chart with percentages in the space provided below:

Answers

Answer:

see below

Step-by-step explanation:

Number of Previous Jobs | Percentage

------------------------|-----------

0 | 16.7%

1 | 33.3%

2 | 16.7%

3 | 12.5%

4 | 4.2%

7 | 8.3%

8 | 4.2%

9 | 4.2%

Statements Reasons 1. BE || CD 1. Given 2. ∠A ≅ ∠A 2. Reflexive Property 3. ∠ACD ≅ ∠ABE 3. Corresponding angles formed by parallel lines and a transversal are ≅. 4. ∠ADC ≅ ∠AEB 4. Corresponding angles formed by parallel lines and a transversal are ≅. 5. ΔABE ∼ ΔACD 5. ??? Fill in the missing reason for the proof. A) SSS Congruence Theorem B) SSS Similarity Theorem C) AA Similarity Postulate D) SAS Congruence Postulate

Answers

Answer:

The correct option is;

C) AA Similarity Postulate

Step-by-step explanation:

The given parameters are;

BE║CD Given

∠A is congruent to ∠A Reflective property

∠ACD is congruent to ∠ABE Corresponding angles formed by parallel lines and a transversal

∠ADC is congruent to ∠AEB Corresponding angles formed by parallel lines and a transversal

ΔABE ~ ΔACD AA Similarity Postulate

When two angles of one triangle are equal to the corresponding two angles of another triangle, given that the third angle of both triangles are also equivalent based on sum of angles of a triangle postulate, the two triangles are said to be similar based on Angle-Angle (AA) Similarity Postulate.

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