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STatiana [176]
4 years ago
9

What is the solution to x = square root 3x + 10?

Mathematics
1 answer:
sdas [7]4 years ago
6 0

Answer:

x = 5

Step-by-step explanation:

Given

x = \sqrt{3x+10} ( square both sides )

x² = 3x + 10 ( subtract 3x + 10 from both sides )

x² - 3x - 10 = 0 ← in standard form

(x - 5)(x + 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 5 = 0 ⇒ x = 5

x + 2 = 0 ⇒ x = - 2

As a check

Substitute these values into the equation and if both sides are equal then they are solutions.

x = 5

right side = \sqrt{15+10} = \sqrt{25} = 5 = left side ← solution

x = - 2

right side = \sqrt{-6+10} = \sqrt{4} = 2 ≠ - 2 ← not a solution

Thus x = 5 is the solution to the equation

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Plz help I will give you BRAINLIESt 5stars
Svetradugi [14.3K]

Answer:

I will just give you the way of solving it

Step-by-step explanation:

First you have to change the sgape of the equation and it will become like this :

-6y=-2x+12

And then:

Y=0.33x+2

And then you have to give values to x and find y

For example i will make x zero (0)

It will become

Y=0.33(0)+12

=+12

And the points are (0,+12)

Go on like this and draw the line

Good luck

Sorry for bad english

4 0
3 years ago
Kate father is 50 years old and kate is 24 years old now. How many years ago was kates father three times as old as her
patriot [66]

Answer:

11

Step-by-step explanation:

50-x=3(24-x)

50-x=72-3x

2x=22

x=11years ago when kate's father was 3 times as old as kate=11

8 0
2 years ago
Given f'(x)=(x-4)(6-2x) find the x-coordinate for the relative minimum of the graph f(x).
vlabodo [156]
<span>The graph you plotted is the graph of f ' (x) and NOT f(x) itself. </span>

Draw a number line. On the number line plot x = 3 and x = 4. These values make f ' (x) equal to zero. Pick a value to the left of x = 3, say x = 0. Plug in x = 0 into the derivative function to get

f ' (x) = (x-4)(6-2x)
f ' (0) = (0-4)(6-2*0)
f ' (0) = -24

So the function is decreasing on the interval to the left of x = 3. Now plug in a value between 3 and 4, say x = 3.5

<span>f ' (x) = (x-4)(6-2x)
</span><span>f ' (3.5) = (3.5-4)(6-2*3.5)
</span>f ' (3.5) = 0.5

The function is increasing on the interval 3 < x < 4. The junction where it changes from decreasing to increasing is at x = 3. This is where the min happens.

So the final answer is C) 3
5 0
3 years ago
Combine like terms. What is a simpler form of each expression?<br> 30 - 5d - C + 3d
borishaifa [10]

30 - 5d - c + 3d

In this equation there are two numbers which have the letter d with them. These would be like terms.

You have -5d + 3d which equals -2d

The simplified form would be 30 -2d -c

4 0
3 years ago
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ANSWER THIS QUESTION FOR A YOUTUBE SHOUTOUT
Harman [31]
The answer is (31) hope it helps and have a great day!
4 0
3 years ago
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