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3 years ago

How does f(x) = 6x change over the interval x = 3 to x = 4?

Mathematics

1 answer:

Illusion [34]3 years ago

4 0

Answer:

I assume the answer would be that f(x) = 6(x) increases over the interval x = 3 to x = 4

Step-by-step explanation:

6 x 3 is 18 and 6 x 4 is 24, so over the interval x = 3 to x = 4 f(x) would increase.

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You invest $2,000 in an account that is compounded annually at an interest rate of 5%. You never withdraw money from the account

castortr0y [4]

Formula for amount for compound interest:
Amount, A = P(1 + r/100)^n
Where r is rate, P is principal, and n is the number of years.
P = 2000, r = 5, n = t years.
A = 2000( 1 + 5/100)^t
A = 200(1+0.05)^t
A = 2000(1.05)^t
A(t) = 2000(1.05)^t

6 0

3 years ago

Complete the steps to solve the polynomial equation x3 – 21x = –20. According to the rational root theorem, which number is a po

jeka94

Answer:

Zeroes : 1, 4 and -5.

Potential roots: $\pm 1, \pm 2, \pm 4, \pm 5, \pm 10, \pm 20$ .

Step-by-step explanation:

The given equation is

$x^3-21x=-20$

It can be written as

$x^3+0x^2-21x+20=0$

Splitting the middle terms, we get

$x^3-x^2+x^2-x-20x+20=0$

$x^2(x-1)+x(x-1)-20(x-1)=0$

$(x-1)(x^2+x-20)=0$

Splitting the middle terms, we get

$(x-1)(x^2+5x-4x-20)=0$

$(x-1)(x(x+5)-4(x+5))=0$

$(x-1)(x+5)(x-4)=0$

Using zero product property, we get

$x-1=0\Rightarrow x=1$

$x-4=0\Rightarrow x=4$

$x+5=0\Rightarrow x=-5$

Therefore, the zeroes of the equation are 1, 4 and -5.

According to rational root theorem, the potential root of the polynomial are

$x=\dfrac{\text{Factor of constant}}{\text{Factor of leading coefficient}}$

Constant = 20

Factors of constant ±1, ±2, ±4, ±5, ±10, ±20.

Leading coefficient= 1

Factors of leading coefficient ±1.

Therefore, the potential root of the polynomial are $\pm 1, \pm 2, \pm 4, \pm 5, \pm 10, \pm 20$ .

3 0

3 years ago

2 divided by 1/3 in simpleast form

leva [86]

Answer:

Step-by-step explanation:

When dividing by a fraction flip it over and multiply

2 / (1/3) = 2 * 3/1

2 / (1/3) = 6/1

2 / (1/3) = 6

8 0

3 years ago

The Range Rule of Thumb roughly estimates the standard deviation of a data set as _______.

maw [93]

Answer:

Option A)

$s = \dfrac{\text{Range}}{4}$

Step-by-step explanation:

Range Rule of Thumb

The range Rule of thumb states that the range is four times the standard deviation.
The standard deviation is a measure of dispersion.

$\text{Range = Maximum - Minimum}\\\text{s: Standard Deviation}\\\text{Range rule of Thumb:}\\\text{Range} = 4\times s\\\\s = \dfrac{\text{Maximum - Minimum}}{4}$

Thus, the correct answer is

$s = \dfrac{\text{Range}}{4}$

4 0

3 years ago

Is 1/4 more than 7/3

IrinaVladis [17]

Answer:

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers