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liq [111]
3 years ago
13

-7z - 7 ≤ -5z + 5 need help sloving

Mathematics
2 answers:
V125BC [204]3 years ago
7 0
-7z - 7 ≤ -5z + 5

- 7 - 5 ≤ -5z + 7z
-12 ≤ 2z
-12/2 ≤ z
-6 ≤ z or z>= -6
Lostsunrise [7]3 years ago
6 0
This is an inequality problem. The way to solve this is to treat the inequality sign (<, >, etc) like an equal sign (=). 

-7z - 7 = -5z + 5

first, you get rid of the constants (the numbers that don't have variables with them)
the way to do that is to perform reverse operations (when there is a negative, add. when positive, subtract. same for multiplying and dividing)

-7z - 7 = -5z + 5
     + 7          + 7
------------------------
      -7z = -5z + 12

the sevens are cancelled out because of the + and the - on both of them, and 5+7 is 12. 
now, for the coefficients. you do the same process.

-7z - 7 = -5z + 5
     + 7          + 7
------------------------
      -7z = -5z + 12
     +5z    +5z
-------------------------
      -2z = 12

now that you have combined all the alike terms, you divide until the variable is by itself. (/ is divide)

-7z - 7 = -5z + 5
     + 7          + 7
------------------------
      -7z = -5z + 12
     +5z    +5z
-------------------------
      -2z = 12
      /-2     /-2
-----------------------
        z = -6

twelve divided by -2 is -6. so, z = -6.
now all you have to do is switch out the inequality sign: z < -6
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A and B are positive numbers.A is inversely proportional to B.When A = 4, B = 36.Find the value of A when B = A
solmaris [256]

Answer:

A = 12

Step-by-step explanation:

Given A is inversely proportional to B then the equation relating them is

A = \frac{k}{B}

To find k use the condition when A = 4, B = 36 , then

4 = \frac{k}{36} ( multiply both sides by 36 )

144 = k

A = \frac{144}{B} ← equation of variation

When B = A , then

A = \frac{144}{A} ( multiply both sides by A )

A² = 144 ( take square root of both sides )

A = ± \sqrt{144} = ± 12

Since A is a positive number then A = 12

3 0
3 years ago
Which of the following graphs represents the solution set for y&lt; -2x – 4? ​
Katen [24]

Given:

The inequality is y.

To find:

The graph of the given inequality.

Solution:

The inequality is

y

The related equation is

y=-2x-4

For x=0,

y=-2(0)-4

y=0-4

y=-4

For y=0,

0=-2x-4

4=-2x

\dfrac{4}{-2}=x

-2=x

So, the related line passes through two points (0,-4) and (-2,0).

Sign of inequality is <, so the related line is a dotted line and shaded region is below the related line.

Therefore, the correct option is B.

3 0
3 years ago
1. Los hoteles están clasificados por estrellas de 1 a 5 de acuerdo con la ubicación, atención servicios y lujos que proporcione
igor_vitrenko [27]

Answer:

El orden de menor a mayor es:

1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4

La mediana es 3.

Step-by-step explanation:

En la ciudad se hizo la relación de hoteles según la lista de estrellas, la cual se ordena de menor a mayor. Entonces, el orden determinado es:

1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4

La mediana de un conjunto de números es el número medio en el conjunto, una vez que los números han sido ordenados de menor al mayor, o, si hay un número par de datos, la mediana es el promedio de los dos números medios.

En este caso el conjunto posee 38 datos. Cuando el número de observaciones es par es posible calcular la mediana como:

Mediana=\frac{n+1}{2} donde n es la cantidad de observaciones.

Entonces:

Mediana=\frac{38+1}{2}

Mediana= 19.5

Esto indica que el valor de la mediana se encuentra en la observación cuya posición esta entre la 19 y la 20.  Entonces el valor de la mediana será una media de los valores que están en la posición 19y 20. Estos números son 3 y 3. La media entre estos dos números es:

\frac{3+3}{2} =3

<u><em>La mediana es 3.</em></u>

5 0
3 years ago
Read 2 more answers
A water tank already contains 56 gallons of water in Baxter begins to fill it. water flows into the tank at a rate of 8 gallons
meriva

Answer:

Equation: y = 8x + 56

After 5 minutes, the volume of the water was 96 gallons

Step-by-step explanation:

Use y = mx + b to create the linear equation, where m is the slope and b is the y intercept.

Since the water flows in at 8 gallons per minute, 8 will be the slope. The variable x will represent the number of minutes.

There are already 56 gallons of water in the tank, so b will be 56.

Plug in these values into the equation:

y = 8x + 56

So, the linear equation is y = 8x + 56

Using this, plug in 5 as x to find the volume of the water in the sink after 5 minutes:

y = 8x + 56

y = 8(5) + 56

y = 40 + 56

y = 96

So, after 5 minutes, the volume of the water was 96 gallons

4 0
3 years ago
Please help me out don’t waste my question and explain your answer for I can believe you did just pick a random letter.
LiRa [457]

Answer:

A is the answer

5 0
3 years ago
Read 2 more answers
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