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PtichkaEL [24]
3 years ago
10

Hat dose 2+7x=5x+14 equal

Mathematics
1 answer:
bezimeni [28]3 years ago
6 0

<em>Answer:</em>

<em>x = 6</em>

<em>Step-by-step explanation:</em>

<em>2 + 7x = 5x + 14</em>

<em>7x - 5x = 14 - 2</em>

<em>2x = 12</em>

<em>x = 12 : 2</em>

<em>x = 6</em>

<em>Good luck !</em>

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Consider the function <br>f(x) = 8x^3 +1.<br><br> If f(g(x)) = x and g(f(x)) = x , find g(x) ?
Elena L [17]

g( \: f(x) \: ) = x

And

f( \: g(x) \: ) = x_________________________________

So :

g(x) =  {f}^{ - 1}(x)

And

f(x) =  {g}^{ - 1}(x)

_________________________________

So to find g(x) , we must find the inverse of f(x) .

Let's do it .....

f(x) = 8 {x}^{3} + 1

y = 8 {x}^{3} + 1

Subtract the sides of the equation minus 1

y - 1 = 8 {x}^{3}

Divided the sides of the equation by 8

\frac{y - 1}{8} =  {x}^{3} \\

From the sides of the equation, we take the radical with interval 3

\sqrt[3]{ \frac{y - 1}{8} } = x \\

\sqrt[3]{ \frac{1}{8}(y - 1) } = x \\

\frac{1}{2} \sqrt[3]{y - 1} = x \\

\frac{ \sqrt[3]{y - 1} }{2} = x \\

So ;

{f}^{ - 1}(x) = \frac{ \sqrt[3]{x - 1} }{2} \\

Now we find g(x) which is :

g(x) =  \frac{ \sqrt[3]{x - 1} }{2} \\

_________________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

7 0
3 years ago
Solve 2 (3d + 3) = 7 + 6d.
Leni [432]

First distribute in the 2 on the left side to get 6d+6=7+6d

Then, you would combine the variables to be on one side of the equation by doing -6d. However, this would cancel out the d by leaving you with 0d+6=7. That is the same thing as saying 6=7.

The answer to this equation is no solution because 6 is NOT equal to 7.

4 0
4 years ago
Read 2 more answers
The inventory of a store 2 years ago was worth $45,000. This year it is
Mekhanik [1.2K]

Answer:

I'm most certain it is 8.89

Step-by-step explanation:

the formula:

((y2 - y1) / y1)*100 = your percentage change

(where y1=start value and y2=end value)

((49.000 - 45.000) / 45.000) * 100 = 8.89 %

7 0
3 years ago
What is the y-intercept of the graph of the function f(x) = x2 + 3x + 5?
Lorico [155]

Answer:

(0,5)

Step-by-step explanation:

Y intercept is where line touches y axis so x = 0.

(0,5) since it's only 5 and the others don't count.

8 0
3 years ago
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HELPPPPPPPPP WITH THESE GRAPH! YOU'LL GET BRAINLIEST IF YOU'RE CORRECT! ALSO... THERE'S 20 POINTS!
lara [203]

<u>Given</u>:

Four coordinates lying on the 3rd quadrant of the Cartesian plane are as follows: \:

  • C' = (–6, –5)
  • D' = (–6, –3)
  • E' = (–4, –3)
  • F' = (–4, –5)

<u>Translation</u>:

Since you've been asked to translate the coordinates of the vertices 2 units right and 8 units up, you'll need to add 2 to its x-coordinate and 8 to its y-coordinate.

C'(–6, –5)

ㅤㅤ= C'(–6 + 2, –5 + 8)

ㅤㅤ= C'(–4, 3)

D'(–6, –3)

ㅤㅤ= D'(–6 + 2, –3 + 8)

ㅤㅤ= D'(–4, 5)

E'(–4, –3)

ㅤㅤ= E'(–4 + 2, –3 + 8)

ㅤㅤ= E'(–2, 5)

F'(–4, –5)

ㅤㅤ= F'(–4 + 2, –5 + 8)

ㅤㅤ= F'(–2, 3)

<u>Final </u><u>answer</u>:

  • C' = (–4, 3)
  • D' = (–4, 5)
  • E' = (–2, 5)
  • F' = (–2, 3)

4 0
3 years ago
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