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Pie
3 years ago
5

Solve step by step 3(2x-4)=8

Mathematics
2 answers:
scoray [572]3 years ago
8 0

Answer:  x = 10/3

Step-by-step explanation:

3(2x-4) = 8     apply the distributive property on the left side

6x - 12= 8       Add 12 to both sides

     +12   +12

6x = 20     Divide both sides by 6

x= 20/6 which simplifies to 10/3

olganol [36]3 years ago
5 0

Answer:

x = 3.33... or 10/3

Step-by-step explanation:

3(2x - 4) = 8

distribute the 3 into the parentheses

3 • 2x = 6x

3 • -4 = -12

6x - 12 = 8

add 12 to both sides

6x = 20

divide both sides by 6

x = 3.33... or 10/3

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Giv
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Answer:

The corresponding point for the function  f(x - 4) is (4 , 1)

Step-by-step explanation:

* <em>Lets explain how to solve the problem</em>

- If the function f(x) translated horizontally to the right by h units, then

 the new function g(x) = f(x - h)  

- If the function f(x) translated horizontally to the left by h units, then

 the new function g(x) = f(x + h)  

- The given function is f(x)

- Point (0 , 1) lies on the graph of f(x)

- We need to find the corresponding point of (0 , 1) for the function

 f(x - 4)

- The function f(x - 4) means that f(x) is translated 4 units to the right

∵ x subtract by 4

∴ f(x) translated horizontally four units to the right

- If any point (x , y) translated 4 units to the right, then x-coordinate

 of the point will added by 4 to give image (x + 4 , y)

∵ The point is (0 , 1)

∴ Its image is (0 + 4 , 1)

∴ Its image is (4 , 1)

* The corresponding point for the function  f(x-4) is (4 , 1)

5 0
3 years ago
Student incorrectly claims that 2/3÷5/9 = 5/6 find the correct quotient what was the students error
olga_2 [115]

Answer:

6/5

Step-by-step explanation:

2/3 ÷ 5/9

2/3 × 9/5 ( while changing division to multiple, numerator and denominator changes

2 × 3/5 ( 9/3 =3

Ans =6/5

6 0
2 years ago
In the table, x represents the age in years of a collectible baseball card, and y represents its value in dollars. Cost of a Pac
lukranit [14]

Answer:

b

Step-by-step explanation:

The slope is positive because as the age increases, the value increases.

6 0
3 years ago
Read 2 more answers
A line representing Car B would have a parallel slope if:
Lerok [7]

Answer:

you add an image

Step-by-step explanation:

6 0
3 years ago
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R leaks out of a barrel so that the rate of change in the water level is proportional to the square root of the depth of the wat
Irina-Kira [14]
Let y(t) represent the level of water in inches at time t in hours. Then we are given ...
  y'(t) = k√(y(t)) . . . . for some proportionality constant k
  y(0) = 30
  y(1) = 29

We observe that a function of the form
  y(t) = a(t - b)²
will have a derivative that is proportional to y:
  y'(t) = 2a(t -b)

We can find the constants "a" and "b" from the given boundary conditions.
At t=0
  30 = a(0 -b)²
  a = 30/b²
At t=1
  29 = a(1 - b)² . . . . . . . . . substitute for t
  29 = 30(1 - b)²/b² . . . . . substitute for a
  29/30 = (1/b -1)² . . . . . . divide by 30
  1 -√(29/30) = 1/b . . . . . . square root, then add 1 (positive root yields extraneous solution)
  b = 30 +√870 . . . . . . . . simplify

The value of b is the time it takes for the height of water in the tank to become 0. It is 30+√870 hours ≈ 59 hours 29 minutes 45 seconds
5 0
3 years ago
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