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ivann1987 [24]
2 years ago
13

Please solve |x-7| = 6

Mathematics
1 answer:
nika2105 [10]2 years ago
5 0

Answer:

The answer x=13 or x=1

Step-by-step explanation:

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

|x−7|=6

Solve Absolute Value.

|x−7|=6

We know eitherx−7=6orx−7=−6

x−7=6(Possibility 1)

x−7+7=6+7(Add 7 to both sides)

x=13

x−7=−6(Possibility 2)

x−7+7=−6+7(Add 7 to both sides)

x=1

Answer:

x=13 or x=1

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Using linear function concepts, it is found that:

a) The initial value is of 3 and the rate of change is of 20.

b) The rate of change means that for <u>each hour, the cost increases by 3 Dhs</u>, while the initial value means that <u>a flat fee of 20 Dhs is paid</u>.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and also can be considered as the initial value.

In this problem, the function that gives the charge C for renting a bicycle for h hours is:

C(h) = 3h + 20

Item a:

Comparing to the standard function, we have that:

  • The initial value is of 3 and the rate of change is of 20.

Item b:

The rate of change means that for <u>each hour, the cost increases by 3 Dhs</u>, while the initial value means that <u>a flat fee of 20 Dhs is paid</u>.

You can learn more about linear function concepts at brainly.com/question/24808124

6 0
2 years ago
Which of the following equations is true?
Korolek [52]

Answer:

B

Step-by-step explanation:

10×1=10

0+10=10

Hence they're equal

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Find the area of the composite figure below.
pashok25 [27]

Answer: D is the correct answer.

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4 0
3 years ago
Se quiere construir un muro de 4 m de alto, 12 m de largo y 10 cm de espesor. ¿Cuántos ladrillos de 8 cm de alto, 20 cm de largo
Llana [10]

Answer:

3000

Step-by-step explanation:

Let's start by finding the volume of the wall. The volumen of the wall can be considered as the volume of a rectangular prism. The volume of a rectangular prism is given by:

V_w=w*l*h\\\\Where:\\\\w=Width=10cm=0.1m\\l=Length=12m\\h=Height=4m

So the volume of the wall is:

V_w=0.1*12*4=4.8m^3

Now, we can find the volume of the brick using the same method since a brick can be considered as a rectangular prism as well:

V_b=w*l*h\\\\For\hspace{3}the\hspace{3}brick\\\\w=10cm=0.1m\\l=20cm=0.2m\\h=8cm=0.08m

Hence:

V_b=(0.1)*(0.2)*(0.08)=0.0016m^3

In order to know how many bricks are required to build the wall, we just need to fill the wall volume with the number of bricks of this volume. So:

V_w=nV_b\\\\Where\\\\n=Number\hspace{3}of\hspace{3}bricks

Solving for n:

n=\frac{V_w}{V_b} =\frac{4.8}{0.0016} =3000

Therefore, we need 3000 bricks to build that wall.

Translation:

Comencemos por encontrar el volumen del muro. El volumen del muro puede considerarse como el volumen de un prisma rectangular. El volumen de un prisma rectangular viene dado por:

V_w=w*l*h\\\\Donde:\\\\w=Espesor=10cm=0.1m\\l=Largo=12m\\h=Alto=4m

Entonces el volumen del muro es:

V_w=0.1*12*4=4.8m^3

Ahora, podemos encontrar el volumen del ladrillo utilizando el mismo método, ya que un ladrillo también puede considerarse como un prisma rectangular:

V_b=w*l*h\\\\Para\hspace{3}el\hspace{3}ladrillo\\\\w=10cm=0.1m\\l=20cm=0.2m\\h=8cm=0.08m

Por lo tanto:

V_b=(0.1)*(0.2)*(0.08)=0.0016m^3

Para saber cuántos ladrillos se requieren para construir el muro, solo necesitamos llenar el volumen del muro con la cantidad de ladrillos de este volumen. Entonces:

V_w=nV_b\\\\Donde\\\\n=Numero\hspace{3}de\hspace{3}ladrillos

Resolviendo para n:

n=\frac{V_w}{V_b} =\frac{4.8}{0.0016} =3000

Por lo tanto, necesitamos 3000 ladrillos para construir ese muro.

4 0
3 years ago
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