If f(x) = x^3 - 2x^2 , which expression is equivalent, №18011075, 11.11.2022 06:40

Mathematics

If f(x) = x^3 - 2x^2 , which expression is equivalent to f(i)? O -2 + i O -2 - i O 2 + i O 2 - i

Step-by-step answer

P Answered by Specialist

$\text{Given that,}~f(x)=x^3-2x^2\\\\f(i)=i^3-2i^2\\\\~~~~~~=i^2 \cdot i -2(-1)~~~~~;[i^2=-1]\\\\~~~~~~=-i+2\\\\~~~~~~=2-i$

Mathematics

Of f(x) = x^3 - 2x^2 , which expression is equivalent to f(i)

Step-by-step answer

P Answered by Master

3

hello :

f(x) = x^3 - 2x^2 = x²(x - 2)

the expression is equivalent to f(x) is : x²(x - 2)

Mathematics

If f(x) = x^3 - 2x^2 , which expression is equivalent to ff(i)?

Step-by-step answer

P Answered by PhD

3

$i=\sqrt{-1}\to i^2=-1\\\\f(x)=x^3-2x^2\\\\f(i)=i^3-2(i^2)=i\cdot i^2-2(-1)=i(-1)+2=2-i$

Mathematics

Of f(x) = x^3 - 2x^2 , which expression is equivalent to f(i)

Step-by-step answer

P Answered by Specialist

3

hello :

f(x) = x^3 - 2x^2 = x²(x - 2)

the expression is equivalent to f(x) is : x²(x - 2)

SAT

Ineed i am studying for my sat and i have the answer to the problems can someone just explain and show me how to get them i don t want you have me figure them out my self because i am on a tight schedule and won t be able to respond. ! 1.) if 8x + 6=6m, what is the value of 4x + 3 in terms of m?3m 2.)3x +4y=18 y= 3/2x which of the following ordered pairs (x,y) is a solution of the system of equations above?(2,3) 3.) which of the following is equivalent to 3x +4/12?x/4 + 1/3 4.) if x-3 is a factor of the expression x^2 +kx + 12, what is the value

Step-by-step answer

P Answered by Specialist

29

Ans1) 8x+6=6m then u will take the common factor of 8x+6 which is 2(4x+3) so it will be 2(4x+3)=6m then u should find 4x+3 so u will divide both by 2 and it will be 4x+3=3m so the answer is 3m

SAT

Ineed i am studying for my sat and i have the answer to the problems can someone just explain and show me how to get them i don t want you have me figure them out my self because i am on a tight schedule and won t be able to respond. ! 1.) if 8x + 6=6m, what is the value of 4x + 3 in terms of m?3m 2.)3x +4y=18 y= 3/2x which of the following ordered pairs (x,y) is a solution of the system of equations above?(2,3) 3.) which of the following is equivalent to 3x +4/12?x/4 + 1/3 4.) if x-3 is a factor of the expression x^2 +kx + 12, what is the value

Step-by-step answer

P Answered by Master

29

Ans1) 8x+6=6m then u will take the common factor of 8x+6 which is 2(4x+3) so it will be 2(4x+3)=6m then u should find 4x+3 so u will divide both by 2 and it will be 4x+3=3m so the answer is 3m

Mathematics

Me! don t answer unless you are sure that the answer is right, ! will give 25 points. question one: a zookeeper is monitoring the population of birds. the flock needs to have exactly three times more females than males to thrive, and the zoo only has room for a maximum of 20 male birds. let x represent the number of male birds and y represent the number of female birds. write the constraints to represent a thriving population of birds at the zoo. a. x 0 and y 0 b. 0 x ≤ 20 and y 60 c. x 0 and y 20 d. 0 x ≤ 20 and 0 y ≤ 60 question two a motorcycle

Step-by-step answer

P Answered by Master

6

the first thing to note is since one gallon= 60 miles then 1/2 gallon= 30 miles, now I know 1/2 is not an answer but it is easiest to decrease in moderate amounts. 1/2 gallon= 48 Km so we are close, and 1/2=0.5 so if we brought it down to 0.42 we would have 25.2 miles and 25.2 miles = 40.32. The question wants to know the approximate number and 40.32 is the closest we are going to get so the answer is 0.42

question 3

80 + 65x ≤ 425

Step-by-step explanation:

First of all we know that the 425 must be greater than or equal to the other side, so the symbol to show that would be ≤. We also know that the forklift is a fixed price by the words 'each day'. And the to hire a single crew member would be $65 unless there are more crew workers, which would be multiplied with the 65.

question 4

Jimthompson5910Expert

Part A

Yes y is a function of x. Specifically the equation is y = x^5

For any given input, there is exactly one output

Notice how if x = 1 then y = x^5 = (1)^5 = 1

Notice how if x = -1 then y = x^5 = (-1)^5 = -1

Notice how if x = -2 then y = x^5 = (-2)^5 = -32

Notice how if x = 2 then y = x^5 = (2)^5 = 32

In general,

x^5 = x*x*x*x*x

there are five copies of x multiplied

A more specific example

3^5 = 3*3*3*3*3

there are five copies of '3' multiplied

Part B

All we do is replace x with 4 and use PEMDAS to simplify

f(x) = 2x+12

f(4) = 2(4)+12

f(4) = 8+12

f(4) = 20

The value of f(4) is 20

What does it mean? It is the total cost of renting the bowling lane for 4 hours. If you rent it for four hours, then you'll pay a total of $20.

The portion 2x = 2*4 = 8 is the variable cost which depends on how long you play. The more hours, the more the variable cost goes up

The fixed cost is 12. This is always fixed as this is the price to get in the door. If you play for 0 hours, but somehow got in the door, then you still pay $12

In total, variableCost+fixedCost = 8+12 = 20 = totalCost

Mathematics

Me! don t answer unless you are sure that the answer is right, ! will give 25 points. question one: a zookeeper is monitoring the population of birds. the flock needs to have exactly three times more females than males to thrive, and the zoo only has room for a maximum of 20 male birds. let x represent the number of male birds and y represent the number of female birds. write the constraints to represent a thriving population of birds at the zoo. a. x 0 and y 0 b. 0 x ≤ 20 and y 60 c. x 0 and y 20 d. 0 x ≤ 20 and 0 y ≤ 60 question two a motorcycle

Step-by-step answer

P Answered by Master

6

the first thing to note is since one gallon= 60 miles then 1/2 gallon= 30 miles, now I know 1/2 is not an answer but it is easiest to decrease in moderate amounts. 1/2 gallon= 48 Km so we are close, and 1/2=0.5 so if we brought it down to 0.42 we would have 25.2 miles and 25.2 miles = 40.32. The question wants to know the approximate number and 40.32 is the closest we are going to get so the answer is 0.42

question 3

80 + 65x ≤ 425

Step-by-step explanation:

First of all we know that the 425 must be greater than or equal to the other side, so the symbol to show that would be ≤. We also know that the forklift is a fixed price by the words 'each day'. And the to hire a single crew member would be $65 unless there are more crew workers, which would be multiplied with the 65.

question 4

Jimthompson5910Expert

Part A

Yes y is a function of x. Specifically the equation is y = x^5

For any given input, there is exactly one output

Notice how if x = 1 then y = x^5 = (1)^5 = 1

Notice how if x = -1 then y = x^5 = (-1)^5 = -1

Notice how if x = -2 then y = x^5 = (-2)^5 = -32

Notice how if x = 2 then y = x^5 = (2)^5 = 32

In general,

x^5 = x*x*x*x*x

there are five copies of x multiplied

A more specific example

3^5 = 3*3*3*3*3

there are five copies of '3' multiplied

Part B

All we do is replace x with 4 and use PEMDAS to simplify

f(x) = 2x+12

f(4) = 2(4)+12

f(4) = 8+12

f(4) = 20

The value of f(4) is 20

What does it mean? It is the total cost of renting the bowling lane for 4 hours. If you rent it for four hours, then you'll pay a total of $20.

The portion 2x = 2*4 = 8 is the variable cost which depends on how long you play. The more hours, the more the variable cost goes up

The fixed cost is 12. This is always fixed as this is the price to get in the door. If you play for 0 hours, but somehow got in the door, then you still pay $12

In total, variableCost+fixedCost = 8+12 = 20 = totalCost

Mathematics

Imran is paid ?286 per week Every week he puts 20% of his wage into a savings account How much does he put into his savings each week

Step-by-step answer

P Answered by PhD

The answer is in the image