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DIA [1.3K]
3 years ago
13

Solve the equation, and check the solutions 2(√x+3)=6.

Mathematics
1 answer:
zhannawk [14.2K]3 years ago
4 0

Answer:

x = 0

Step-by-step explanation:

2(\sqrt{x}+3)=6

Expanding the left hand side we get

\Rightarrow 2\sqrt{x}+6=6

Taking 6 from left hand side to right hand side

\Rightarrow 2\sqrt{x}=6-6\\\Rightarrow 2\sqrt{x}=0

Dividing both sides by 2

\Rightarrow \sqrt{x}=\frac{0}{2}\\\Rightarrow \sqrt{x}=0\\\Rightarrow x=0

So, x = 0

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Questio
Olenka [21]

Answer:

  d = -1/3, 0

Step-by-step explanation:

Subtract the constant on the left, take the square root, and solve from there.

  (6d +1)^2 + 12 = 13 . . . . given

  (6d +1)^2 = 1 . . . . . . . . . .subtract 12

  6d +1 = ±√1 . . . . . . . . . . take the square root

  6d = -1 ±1 . . . . . . . . . . . .subtract 1

  d = (-1 ±1)/6 . . . . . . . . . . divide by 6

  d = -1/3, 0

_____

Using a graphing calculator, it is often convenient to write the function so the solutions are at x-intercepts. Here, we can do that by subtracting 13 from both sides:

  f(x) = (6x+1)^ +12 -13

We want to solve this for f(x)=0. The solutions are -1/3 and 0, as above.

4 0
3 years ago
Which steps transform the graph of
vitfil [10]

Answer:

The correct option is the last one.

Step-by-step explanation:

To transform the graph of y = x ^ 2 into y = -2(x - 2) ^ 2 + 2 the following steps are fulfilled:

1) Move the graph 2 units to the right:

Let y = f (x-2) then y =(x-2) ^ 2 Notice that the cut point has been moved to x = 2.

2) Reflect on the x axis:

To reflect a graph on the x-axis we do y = -f(x) Then f (x) = -(x-2) ^ 2

3) Stretch according to factor 2.

For this we do y = 2f(x)

Then we have f(x) = -2 (x-2) ^ 2

4) Move up the graph in two units:

We do y = f(x) +2

Then y = -2(x-2) ^ 2 +2.

These steps coincide with those listed in the last option. Therefore the correct option is the last one.

"Translate 2 units on the right, reflect on the x-axis, stretch according to the factor 2 and translate 2 units"

4 0
3 years ago
A plane flies 15 miles in 20 seconds. How long would it take the plane to cover 30 miles?
ExtremeBDS [4]

Answer:it would take the plane 40 seconds

Step-by-step explanation:

if you multiply by two then you would be able to get 30

like 15 times 2 and since it’s 15 miles to 20 seconds or 15:20 you would have to multiply by the same number.

6 0
3 years ago
Solve for the value of n.
frosja888 [35]

Answer:

n= 27

Step-by-step explanation:

To solve first subtract the 90-degree angle:

180-90= 90

Then, convert into an equation:

3n+9= 90

Subtract 9 from both sides:

3n=81

Then divide by 3:

n= 27

Hope this helps!

6 0
3 years ago
Evaluate the expression for s=4 and t=8
Andru [333]
Whats the expression so you can plug those numbers in.
4 0
3 years ago
Read 2 more answers
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