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Airida [17]
3 years ago
8

Find the number if the square root of another number that is 6 greater than this number is equal to the number itself.

Mathematics
1 answer:
natulia [17]3 years ago
4 0

Answer:

  3

Step-by-step explanation:

Let x represent the number of interest. Then x+6 is "another number". You want its square root to be the original number:

  √(x+6) = x

Squaring both sides, we get ...

  x +6 = x^2

In standard form, this is ...

  x^2 -x -6 = 0

  (x -3)(x +2) = 0 . . . . factored

By the zero product rule, this will have solutions ...

  x -3 = 0  ⇒  x = 3

  x +2 = 0  ⇒  x = -2 . . . . . an extraneous solution, because √(-2+6) ≠ -2

The number is 3.

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4 years ago
a container is filled with 100 grams of bird feed that is 80% seed. How many grams of bird feed containing 5% seed must be added
Fofino [41]
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6 0
4 years ago
Please help I will give brainliest to whoever answers this question
pantera1 [17]

Hi!

To solve this, we must make an equation in y = mx + b form, where m is the slope and b is the y-intercept.

Since we are looking at a graph with points, it saves us a TON of work, and all we have to do is simply look at the graph. We only need to find m and b, that's it!

M is the slope, and the slope can be represented by the change between points on a line, also known as <em>rise/run. </em>

If we start at point (-4, -1), and go to point (-2, 0), we can see that it goes up 1 and right 2, which would be represented as 1/2.

B is the y-intercept, and that is simply the point that is on the y-axis, which is the point (0, 1), so our number would be 1.

Therefore, plugging these numbers into the equation, our equation is y = <em>1/2</em>x + <em>1</em>

<em></em>

Hope this helps! :D

6 0
2 years ago
Solve the system by substitution.
tino4ka555 [31]
As we know y=3/4x-3
Let's put it in the second equation
3/4x-3=1/4x+1
3/4 x -1/4 x = 1+3
2/4 x = 4
X= 4*4/2
x=8
Put x= 8 in first equation
y= 3/4 *8 -3
y=6-3
y=3
Check the answer
3=3/4 *8 -3
3=6-3
3=3
Correct
So(y, x) = (3,8)
Because x=8 and y=3
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3 years ago
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nika2105 [10]

Answer:

3

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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