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BabaBlast [244]
2 years ago
9

Stuck, anyone can help?

Mathematics
1 answer:
expeople1 [14]2 years ago
6 0

Answer:

Step-by-step explanation:

\sqrt{x-3} = x - 5 ( x ≥ 3 )

( \sqrt{x-3} )² = ( x - 5 )²

x - 3 = x² - 10x + 25

x² - 11x + 28 = 0

(x - 4)(x - 7) = 0

x_{1} = 7

x_{2} = 4

Check the answer:

1). x = 7

\sqrt{7-3} = 7 - 2

√4 = 2

2 = 2

2). x = 4

\sqrt{4-3} = 4 - 5

1 = - 1 (False statement) ⇒ x = 4 is an extraneous solution.

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Usando las propiedades de la igualdad resuelve: 13r=117 y explica el procedimiento​
Bas_tet [7]

Answer:

r=9

Step-by-step explanation:

13r=117

r=117/13

r=9

8 0
2 years ago
For the composite function, identify an inside function and an outside function and write the derivative with respect to x of th
alexira [117]

Answer:

The inner function is h(x)=4x^2 + 8 and the outer function is g(x)=3x^5.

The derivative of the function is \frac{d}{dx}\left(3\left(4x^2+8\right)^5\right)=120x\left(4x^2+8\right)^4.

Step-by-step explanation:

A composite function can be written as g(h(x)), where h and g are basic functions.

For the function f(x)=3(4x^2+8)^5.

The inner function is the part we evaluate first. Frequently, we can identify the correct expression because it will appear within a grouping symbol one or more times in our composed function.

Here, we have 4x^2+8 inside parentheses. So h(x)=4x^2 + 8 is the inner function and the outer function is g(x)=3x^5.

The chain rule says:

\frac{d}{dx}[f(g(x))]=f'(g(x))g'(x)

It tells us how to differentiate composite functions.

The function f(x)=3(4x^2+8)^5 is the composition, g(h(x)), of

     outside function: g(x)=3x^5

     inside function: h(x)=4x^2 + 8

The derivative of this is computed as

\frac{d}{dx}\left(3\left(4x^2+8\right)^5\right)=3\frac{d}{dx}\left(\left(4x^2+8\right)^5\right)\\\\\mathrm{Apply\:the\:chain\:rule}:\quad \frac{df\left(u\right)}{dx}=\frac{df}{du}\cdot \frac{du}{dx}\\f=u^5,\:\:u=\left(4x^2+8\right)\\\\3\frac{d}{du}\left(u^5\right)\frac{d}{dx}\left(4x^2+8\right)\\\\3\cdot \:5\left(4x^2+8\right)^4\cdot \:8x\\\\120x\left(4x^2+8\right)^4

The derivative of the function is \frac{d}{dx}\left(3\left(4x^2+8\right)^5\right)=120x\left(4x^2+8\right)^4.

3 0
3 years ago
A coin is fixed so that the probability to get heads in two throws is double the probability. Count the probability that there w
Setler [38]

Answer:

no clue try looking it up on here see what you find

Step-by-step explanation:

i just wanna help but im not very smart

5 0
3 years ago
After 50 soccer games, the ratio of wins to losses is 3:7. How many games did the team win? Explain how you found your answer
zalisa [80]

Answer:The team won 15 games


Step-by-step explanation:

Given no of soccer games =50

Ratio of wins to losses =3:7

Let no of wins =3x

and no of losses =7x

Now

3x+7x=50

10x=50

Dividing both sides by 10

x=5

So no of wins =3x =3\times5

=15

We found  the answer as 10 parts equals 50

So 3 parts equals 15

4 0
2 years ago
Solve the equation 8y-6=5y+12
Bumek [7]
  8y - 6 = 5y + 12
- 5y       - 5y
  3y - 6 = 12
      + 6   + 6
       3y = 18
        3      3
         y = 6
5 0
3 years ago
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