All categories

3 years ago

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

Mathematics

2 answers:

Helga [31]3 years ago

8 0

My answer should be ever one answer of course

fomenos3 years ago

5 0

Step-by-step explanation:

Hope it helps man ...........

You might be interested in

Four times a number increased by five

34kurt

Answer:

4 x n+5

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Veena's father is 7 years older than five times the age of Veena. If his age is 37. find Veena's age.

ra1l [238]

Step-by-step explanation:

let Veena father be x and Veena be y

x=5y+7

x=37

37=5y+7

30=5y

y=6

Veena is 6 year old

7 0

3 years ago

The total resistance R of two resistors connected in parallel circuit is given by 1/R = 1/R_1 + 1/R_2. Approximate the change in

Naily [24]

Answer:

a) Approximate the change in R is 0.5 ohm.

b) The actual change in R is 0.04 ohm.

Step-by-step explanation:

Given : The total resistance R of two resistors connected in parallel circuit is given by $\frac{1}{R}=\frac{1}{R_1}+\frac{1}{R_2}$

To find :

a) Approximate the change in R ?

b) Compute the actual change.

Solution :

a) Approximate the change in R

$R_1=12\ ohm$ and $R_2=10\ ohm$

$R_1$ is decreased from 12 ohms to 11 ohms.

i.e. $\triangle R_1=21-11=1\ ohm$

$R_2$ is increased from 10 ohms to 11 ohms.

i.e. $\triangle R_2=11-10=1\ ohm$

The change in R is given by,

$\frac{1}{\triangle R}=\frac{1}{\triangle R_1}+\frac{1}{\triangle R_2}$

$\frac{1}{\triangle R}=\frac{\triangle R_2+\triangle R_1}{(\triangle R_1)(\triangle R_2)}$

$\triangle R=\frac{(\triangle R_1)(\triangle R_2)}{\triangle R_2+\triangle R_1}$

$\triangle R=\frac{(1)(1)}{1+1}$

$\triangle R=\frac{1}{2}$

$\triangle R=0.5\ ohm$

b) The actual change in Resistance

$\frac{1}{R}=\frac{1}{R_1}+\frac{1}{R_2}$

$\frac{1}{R}=\frac{1}{12}+\frac{1}{10}$

$R=\frac{10\times 12}{10+12}$

$R=\frac{120}{22}$

$R=5.46\ ohm$

When resistances are charged, $R_1=R_2=11$

$\frac{1}{R'}=\frac{1}{R_1}+\frac{1}{R_2}$

$\frac{1}{R'}=\frac{1}{11}+\frac{1}{11}$

$R'=\frac{11}{2}$

$R'=5.5\ ohm$

Change in resistance is given by,

$C=R'-R$

$C=5.5-5.46$

$C=0.04\ ohm$

3 0

3 years ago

What’s the slope of the line?

katen-ka-za [31]

Answer:

-3/4

Step-by-step explanation:

1. Slope = rise/run

rise = -3

run = 4

-3/4

5 0

3 years ago

If n is an integer, which conjecture is not true about 2n– 1? A. 2n– 1 is odd if n is positive. B. 2n– 1 is always even. C. 2n–

VladimirAG [237]

B.

Let's simply look at each conjecture and determine if it's true or false.

A. 2nâ€“ 1 is odd if n is positive: Since n is an integer, 2n will always be even. And an even number minus 1 is always odd. Doesn't matter if n is positive or not. So this conjecture is true.

B. 2nâ€“ 1 is always even: Once again, 2n will always be even. So 2n-1 will always be odd. This conjecture is false.

C. 2nâ€“ 1 is odd if n is even: 2n is always even, so 2n-1 will always be odd, regardless of what n is. So this conjecture is true.

D. 2nâ€“ 1 is always odd: 2n will always be even. So 2n-1 will always be odd. Once again, this conjecture is true.

Of the 4 conjectures above, only conjecture B is false. So the answer is B.

6 0

3 years ago