PLEASE HELP Enter your answer and show all the steps that you use to solve this problem in the space provided. f ( x ) = 9 x 3 + 2 x 2 − 5 x + 4 and g ( x ) = 5 x 3 − 7 x + 4 . what is f ( x ) − g ( x ) ? Show all of your steps and write your final answer in factored form.

Answers

Answer 1
Answer:

Answer:

= 2x²( 2x+ 1) + 2x

or

= 2x (2x² + x + 1)

Step-by-step explanation:

Given in the question two functions,

f ( x ) = 9x³ + 2x² − 5x + 4

g ( x ) = 5x³ − 7 x + 4  

To find,

f ( x ) − g ( x )

  Substitute each functions    

​= 9x³ + 2x² − 5x + 4 - ( 5x³ − 7 x + 4 )

  Remove parentheses                         ​

= 9x³ + 2x² − 5x + 4 -  5x³ + 7 x - 4

  Combine like terms and add them up

= 4x³ +  2x² + 2x

 Factorise  

= 2x²( 2x+ 1) + 2x

  or

= 2x (2x² + x + 1)

So the final answer in factored form is 2x²( 2x+ 1) + 2x or 2x (2x² + x + 1)

This can't be further factorise because answer will be in complex numbers


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Suppose 6 is a factor of ab, where a and b are natural numbers. Make a valid argument to explain why each assertion is true or provide a counterexample to show that an assertion is falsea. 6 must be a factor of a or of b
b. 3 must be a factor of a or of b
c. 3 must be a factor of a and of b

please help and show work

Answers

example
if ab=6
and a=3
b=2

a. 6 must be factor of 3 or 2 FALSE
b. 3 must be a factor of 3 OR 2 TRUE
c. 3 must be a factor of 3 AND 2 FALSE



B is true

30 POINTS NO CAP PLEASE HELP ME NEED RIGHT ANSWER
2 different question

Answers

Answer:

1. 3/2

Domain =

-3, -2, 1, 4

Range =

-4, -2, 0, 3, 5

no it is not a function

Step-by-step explanation:

∠A and ∠B are vertical angles. If m∠A=(3x-30)° and m∠B=(2x-9)°,then find the value of x.

Answers

Hello there! :)

\huge\boxed{x = 21}

Vertical angles are congruent, therefore:

∠A ≅ ∠B

3x - 30 = 2x - 9

Subtract 2x from both sides:

3x - 2x - 30 = 2x - 2x - 9

x - 30 = -9

Add 30 to both sides:

x - 30 + 30 = -9 + 30

x = 21.

Answer:

x = 21

Step-by-step explanation:

Vertical angles are congruent, thus

∠ A = ∠ B , substitute values

3x - 30 = 2x - 9 ( subtract 2x from both sides )

x - 30 = - 9 ( add 30 to both sides )

x = 21

The product of two numbers is 37.03.If one number is 2.3,find the other.​

Answers

Answer:

\boxed{\bold{\huge{\boxed{16.1}}}}

Step-by-step explanation:

Let the first number be x and the second number be y

So, the condition is:

x * y = 37.03

Given that x = 2.3

2.3 * y = 37.03

Dividing both sides by 2.3

y = (37.03)/(2.3)

y = 16.1

Answer:

16.1

Step-by-step explanation:

37.03/2.3 = 16.1

A spinner is divide into 10 equal sections numbered from 1 to 10. You SPIN the spinner once. What is P(5)? A.)1/3
B.)1/2
C.)1/10
D.)1/4

Answers

The probability of spinning a 5 would be C. 1/10. Since none of the numbers repeat, you have an equal chance at spinning any of the numbers... 1/10.

Answer: B: P(not 1)= 10%

Step-by-step explanation:

i put C and it was wrong. showed me B is correct

Which of the following is the algebraic expression that best describes the sequence 1/11, 2/11, /3/11, 4/11A. 11/x
B. 11x
C. x+1/11
D. X/11

Answers

Answer:

The answer is D. (x)/(11)

Step-by-step explanation:

In order to determine the correct sequence, we need to find differences in the numerator and the denominator of the fraction between two continuous terms.

In the numerator, the number is increasing in one digit. The first term in the numerator of the sequense is 1, the second is 2, the third is 3, and so on.

In the denominator, the number is constant (11).

Therefore, we define a "x" variable that represents the number in the numerator. So to find the value of the nth place in the sequence is:

(x)/(11)

The answer is D. x/11

Say you need to find the xth place in the sequence. Based on the fact that the 1st place is 1/11, the 2nd place is 2/11, and so on, to find the value of the xth place in the sequence the answer is x/11.