All categories

3 years ago

How do you divide a fraction

2 answers:

7 0

"Dividing by fractions is just like multiplying fractions, except for one additional step. To divide any number by a fraction: First step: Find the reciprocal of the fraction. Second step: Multiply the number by the reciprocal of the fraction." -Google

ella [17]3 years ago

3 0

You break it down into a whole number then you divide it.

You might be interested in

What is the extraneous solution found in solving the equation log2 4x + log₂ (x + 1) = 3

yan [13]

Answer:

x = -2

Step-by-step explanation:

We are given the logarithmic base 2 equation of:

$\displaystyle{\log_2 (4x) + \log_2 (x+1) = 3}$

Apply logarithm property of addition where:

$\displaystyle{\log_a M + \log_a N = \log_a MN}$

Therefore, we will write new equation as:

$\displaystyle{\log_2 [4x(x+1)] = 3}$

Apply logarithm to exponential form using:

$\displaystyle{\log_a M = N \to a^N = M}$

Thus, another new rewritten equation is:

$\displaystyle{2^3 = 4x(x+1)}\\\\\displaystyle{8 = 4x(x+1)}\\\\\displaystyle{2=x(x+1)}$

Expand the expression in and arrange the terms in quadratic expression:

$\displaystyle{2=x^2+x}\\\\\displaystyle{0=x^2+x-2}\\\\\displaystyle{x^2+x-2=0}$

Solve for x:

$\displaystyle{(x+2)(x-1)=0}\\\\\displaystyle{x=-2,1}$

These are potential solutions to the equation. To find extraneous solution, you’ll have to know the domain of logarithm function. We know that logarithm’s domain is defined to be greater than 0. Henceforth, anti-logarithm must be greater than 0.

( 1 ) 4x > 0, x > 0

( 2 ) x + 1 > 0, x > -1

Therefore, our anti-log must be greater than 0, so any solutions that are equal or less than 0 will be considered as extraneous solution.

Hence, x = -2 is the extraneous solution.

7 0

2 years ago

Solve by using the quadratic formula 3x^2+5=-2x

rosijanka [135]

Hello from MrBillDoesMath!

Answer: -1/3 + i* (1/3) * sqrt(14) and -1/3 - i* (1/3) * sqrt(14)

Discussion :

Recall the solutions of the quadratic equation "ax^2 + bx + c = 0" are given by the formula

x = ( - b +/- sqrt (b^2 - 4ac) ) / 2a

Rewriting the given equation in this for gives

3x^2 + 2x + 5 = 0

so a = 3, b = 2, and c = 5. Substituting the values in the formula gives

x = (- 2 + sqrt ( 2^2 - 4*3*5) ) / 2a #1

and

x = (- 2 - sqrt ( 2^2 - 4*3*5) ) / 2a #2

Simplifying, #1 = ( -2 + sqrt(4-60) )/ (2 * 3) =

-2/(2*3) + (sqrt(-56)) / (2*3) =

-1/3 + i * (sqrt (56)) /6 =

-1/3 + i * (sqrt(4 *14)) /6 =

-1/3 + i * (sqrt(4)/6) * sqrt(14) =

-1/3 + i * (2/6) * sqrt(14) =

-1/3 + i* (1/3) * sqrt(14)

Similarly, the solution of # 2= -1/3 - i* (1/3) * sqrt(14). The only difference between the two solutions is the minus sign boldfaced above.

Regards, MrB

7 0

3 years ago

A student buys

garik1379 [7]

Answer: 10$

Step-by-step explanation:

164 - 4x16 = 100

6 + 4 = 10

100 : 10 = 10

7 0

3 years ago

Convert r=sec thaeta to rectangular form

Maslowich

Multiply both sides by cos
rcos(θ)=sec(θ)cos(θ)=1
x=rcos(θ)
x=1

3 0

4 years ago

What is the circumference of a 12-inch diameter pizza? Leave the answer in terms of π.

Deffense [45]

The answer is C
12×3.14

6 0

3 years ago

Read 2 more answers