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3 years ago

What is the value of z for the equation 1/4z = –7/8 + 1/8z? –3 –7 3 7

1 answer:

6 0

The first step for solving this equation is to determine the defined range.
$\frac{1}{4z} = - \frac{7}{8} + \frac{1}{8z}$ , z ≠ 0
Move the expression $\frac{1}{8z}$ to the left side of the equation and change its sign.
$\frac{1}{4z}$ - $\frac{1}{8z}$ = $- \frac{7}{8}$
Now we need to write all numerators above the least common denominator of 8z. This will change the equation to the following:
$\frac{1}{8z}$ = $- \frac{7}{8}$
Simplify the equation using cross multiplication.
8 = -56z
Switch the sides of the equation.
-56z = 8
Divide both sides of the equation by -56.
$z = -\frac{1}{7}$ , z ≠ 0
Lastly,, check if the solution is in the defined range to get your final answer.
$z = -\frac{1}{7}$
Let me know if you have any further questions.
:)

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9x=10 please help…….

Natasha_Volkova [10]

Let's solve your equation step-by-step.

9x=10

Step 1: Divide both sides by 9.

9x / 9 = 10 /9

x = 10 / 9

Answer:

x = 10 / 9

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2 years ago

What is the equivalent expression of y+2/5y

Nonamiya [84]

The answer Is going to be 24

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3 years ago

What must be true regarding the distribution of the population? A. The population must be normally distributed and the sample s

Karolina [17]

Answer:

C. The population must be normally distributed.

Step-by-step explanation:

Population distribution have to do with the classification of people living in a particular geographical area into different segment such as Age, Occupation, Sex, Geographical location.

For instance

If Age distribution is use, the total number of people living in say New york will classified into 0-10 11-19years 20-29years and so on

Sex distribution involves distribution into the male and Female Category

Occupation distribution of Population involves classification of occupant of an area according to their Job.. I.e.Drives-15 people, Lawyer =2 people and so on.

Geographical location distribution of population involves the classification of people living in a particular country according to their geographical names. I.e. Abuja=3.5million people etc.

5 0

3 years ago

Which expression is equivalent to the following complex fraction?

svlad2 [7]

Consider the fraction first ;

${:\implies \quad \sf \dfrac{\dfrac{3}{(x-1)}-4}{2-\dfrac{2}{(x-1)}}}$

${:\implies \quad \sf \dfrac{\dfrac{3-4(x-1)}{\cancel{(x-1)}}}{\dfrac{2(x-1)-2}{\cancel{(x-1)}}}}$

${:\implies \quad \sf \dfrac{3-4x+7}{2(x-1-1)}}$

${:\implies \quad \boxed{\bf{\dfrac{-4x+7}{2(x-2)}}}}$

Hence, Option B) is required answer

4 0

2 years ago

Find all solutions to the following system of equations -y²+6y+x-9=0 ; 6y=x+27.Illustrate with a graph.

Dimas [21]

Answer:

The solution to the system is the pair (9, 6)

Step-by-step explanation:

Hi!

First, let´s write the system of equations:

-y² + 6y + x -9 = 0

6y = x +27

The solutions of the system are the pairs (x, y) that satisfy both equations.

Let´s take the second equation and solve it for x:

6y = x +27

Subtract 27 from both sides of the equation

6y - 27 = x

Now, we can replace x in the first equation and solve it for y:

-y² + 6y + x -9 = 0

-y² + 6y + 6y - 27 -9 = 0

-y² + 12y - 36 = 0

Notice that -y² + 12y - 36 = -(y - 6)², then:

-(y - 6)² = 0

y - 6 = 0

y = 6

(alternatively you can solve the quadratic equation using the quadratic formula).

Now let´s find the value of x:

x = 6y -27

x = 6·6 -27

x = 9

The solution to the system is the pair (9, 6)

Please see the attached figure. The point where the curves intersect is the solution to the system.

6 0

3 years ago