Given f(x) = 3x^3 + kx + 1, and x – 1 is a factor of f(x), then
what is the value of k?

Answer:

1.6

Step-by-step explanation:

1 x 20

6 x 1

=

20

6

You can use our handy GCF calculator to work this out yourself if you want to. We already did that, and the GCF of 20 and 6 is 2.

We can now divide both the new numerator and the denominator by 2 to simplify this fraction down to its lowest terms.

20/2 = 10

6/2 = 3

10/3

The complete and simplified answer to the question what is 1/6 of 20 is:

3 1/3 = 1.6

so basically what i did is convert 3 1/3 as a simplified fraction and got 1.6

Answer:

3x+3

Step-by-step explanation:

The given expression is "The first integer plus the next consecutive integer plus the next consecutive integer."

Let the first integer is x.

Next consecutive integer of x = x+1

Other next consecutive integer of x+1 = x+1+1=x+2

ATQ,

The expression is :

=x+x+1+x+1+1

=3x+3

Answer:

(x + y)/x is greater than x/(x + y)

Step-by-step explanation:

Given.

x > y

y > 0

Required

Which is greater?

x/(x + y) or (x + y)/x

Since x is greater than y & y > 0

Then definitely,

x + y > x

By the above analysis:

(x + y)/x is an improper fraction because the numerator (x + y) is greater than the denominator (x)

While

x/(x + y) is a proper fraction because the numerator (x) is lesser than the denominator.

All improper fractions are greater than all proper fractions,

Hence:

(x + y)/x is greater than x/(x + y)

To further explain this:

Take

x = 3 and y = 2

x/(x + y) = 3/(3 + 2) = 3/5 = 0.6

(x + y)/x = (3 + 2)/3 = 5/3 = 1.67

See that (x + y)/x is greater than x/(x + y)

And this is so for all values of x and y

Where x > y and y > 0

Answer:

is less than

Step-by-step explanation:

Answer:

D. 37/2 divided by 17/4

Step-by-step explanation:

Answer:

D) 37/2 / 17/4

Step-by-step explanation:

Change 18 1/2 and 4 1/4 into improper fractions.

18 1/2 = 37/2

4 1/4 = 17/4

So the answer is 37/2 / 17/4.

Please correct me if I am wrong, have a great day! :)

Answer:

Numerrator is the denominator divieded by the other equations is the sum.

Step-by-step explanation:

Hope I helped

Answer:

You distribute then combine

your answer is -52u+16

Step-by-step explanation:

Answer:

360

Step-by-step explanation:

10+12+14+16+18+20+22+24+26+28+30+32+34+36+38=360

it is very easy

hope it helps you

Answer:

12

Step-by-step explanation:

if 3 magazines = $18

$72/$18 = 4 sets of 3

4 x 3 = 12 magazines

Answer:

1213.275

or

48,531/40​

first you would have to go on the right side of the X axis and put a point on 2 and go up 3 and place a point there.

next you can do the same thing but got the the left side of the X axis and that will be the negative side of the numbers.

Answer:

16 and 36

Step-by-step explanation:

x + (2x+4) = 52

3x+4=52

3x=48

x=16

Answer:

D. -6

Step-by-step explanation:

SInce x is negative, the - before the six would be cancelled out leaving the equation to be 6^3=216 which is correct

Answer:

42

Step-by-step explanation:

168 Inches. One is three times the length of the other so, the bigger piece is 3/4 while the shorter is 1/4. Simply multiply 1/4 by 168. You get 42.

Answer:

If i´m correct and read the answer correct it should be:

-18x³+80x²+65x+5

Step-by-step explanation:

Hopefully this is correct, I couldn't understand if (-2x 2+10x) was spaced or if it was being multiplied.

Answer:

Reflexive postulate of equality

Step-by-step explanation:

Given

[tex]5 = 5[/tex]

Required

Which option answers the question

From the list of given options, the correct answer is: reflexive postulate of equality

This is so, because:

Reflexive postulate of equality implies that: [tex]a = a[/tex]

So, take [tex]a = 5[/tex]

This gives:

[tex]a = a[/tex]

[tex]5 = 5[/tex]

Hence:

Reflexive postulate of equality answers the question

Answer:

x1= -4/3 and x2= 0

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

You would divide 48 by 8 and multiply it by 3. Otherwise, you could do

3/8 = x/48

x * 8 = 3 * 48

x * 8 = 144

 /8        /8

x = 18

Answer:

2.1087

Step-by-step explanation:

0.297

7.1 +

2.1087

Answer:

Kathleen ran  2 3/16miles

Answer:

The correct answer is option B

Answer:

not similar

Step-by-step explanation:

Answer:

Fourth Option

Step-by-step explanation:

Answer:

Decreased 4 days-96 hours

Increased 6 days-144 hours

Step-by-step explanation:

In order to solve this you just have to look at the graph and after the start of the experiment which is basically the origin of the graph and as you can see immidiately goes down after the start and it reaches the turning point in the day four which is when the graph starts to go up in the Y axis, so that day it would start the increase, and it increases from day 4 to 10 that would be 6 days, and the decrease would be from the origin to day 4.

Step-by-step explanation:

Graph the line using the slope and y-intercept, or two points.

Slope: 2.52.5

y-intercept: (0,0)

x y

0 0

1 2.5

丼

h(3z) = 2(3z)^2 + 3 = 18z^2 + 3

h(3z) is equal to 18z² + 3

To find h(3z), we substitute 3z into the function h(x). This means we replace x with 3z in the expression for h(x).

h(3z) = 2(3z)² + 3

Simplifying this expression, we have:

h(3z) = 2(9z²) + 3

h(3z) = 18z² + 3

So, h(3z) is equal to 18z² + 3. This means that if we input any value of z into the expression, the function h will output the corresponding value by evaluating 18z² + 3.

The function h(3z) represents a quadratic expression in terms of z, where the coefficient of z² is 18 and there is a constant term of 3 added to the result.

Learn more about function here

https://brainly.com/question/33615657

#SPJ2

Answer:

P[2qp] = 0,467      or    46,7 %

Step-by-step explanation:

The probability of two of seven chemistry professors is equal to:

P[2 qp] = quantity of combinations of seven elements taken in groups of two, over total quantity of events, therefore

The total quantity of combinations is:

3 statistics professors + 7 chemistry professors taken in groups of 2 that is:

Te  = (3 + 7) ! / 2!*(10-2)!

Te = 9!/ 2!*5!        ⇒    Te = 9*8*7*6*5!/2!*8!    ⇒ Te = 9*8!/2*8!

Te = 45

And successful events are:

C₇,₂  =  7!/2!*(7-2)!

C₇,₂  = 21

Finally, the probability that both professors are chemistry professors is:

P[2qp] = 21/45

P[2qp] = 0,467      or    46,7 %

The probability of selecting both professors are chemistry professors will be 0.4667 or 46.67%.

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.

Three statistics professors and seven chemistry professors are available to be advisors to a student organization.

The student organization needs two of the professors to be advisors.

If each professor has an equal chance of being selected.

The probability that both professors are chemistry professors will be

The total quantity of combinations will be

[tex]\rm T = \ ^{10} C _ 2 = 45[/tex]

And successfull events will be

[tex]\rm F = \ ^7C_2 = 21[/tex]

Then the probability will be

[tex]\rm P = \dfrac{F}{T}\\\\\\P = \dfrac{21}{45}\\\\\\P = 0.4667 \ or \ 46.67 \%[/tex]

More about the probability link is given below.

https://brainly.com/question/795909

Answer:

<

Step-by-step explanation:

[tex]24 \: tenths = \frac{24}{10} = 2.4 \\ \\ 2.4 \: \: \red{\bold{ < }} \: \: 2.5[/tex]