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Angelina_Jolie [31]
3 years ago
5

If 2^20 - 2^19 = 2^x, what is the value of x?

Mathematics
1 answer:
igor_vitrenko [27]3 years ago
4 0

Answer:

x=19

Step-by-step explanation:

2^2^0-2^1^9=2^x

2^x=524288

log(2^x)=log(524288)

x=\frac{log(524288)}{log(2)}

x=19

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Find f(x) and g(x) so the function can be expressed as y = f(g(x)). y= <img src="https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7Bx%5E2%
lisabon 2012 [21]

Answer:

One possible answer is:

f(x) = (2/x) + 3 and g(x) = x².

Step-by-step explanation:

Explanation:

We are to write this equation as y = f(g(x)).  This means we want it to be a composite of functions; in f(x), we take the value of g(x) and use in place of x.

If we let g(x) = x², this means everywhere we see an x in f(x), we will replace it with x².  To make our equation y = 2/x² + 3, working backward we would substitute x for x²; this would give us f(x) = 2/x + 3.

6 0
3 years ago
Solve the amount in picture
ss7ja [257]
It’s 2/25 because 24 x 1/3/100 and you simplify the complex fraction so it’s 24 x 1/300 now reduce the numbers with the greatest common factor 12 so now it’s 2x1/25 then calculate the product 2/25
5 0
3 years ago
What are the roots of the polynomial equation x3-7x=6x-12?
Ilia_Sergeevich [38]
This is not a polynomial equation unless one of those is squared.  As it stands x=-.833.  If you can tell me which is squared I can help solve the polynomial.

Ok, that is usually notated as x^3 to be clear.   I'll solve it now.

x^3-13x-12=0

Then use factor theorum to solve x^3-13x-12/x+1 =0
So you get one solution of x+1=0
x=-1

Then you have x^2-x-12 now you complete the square.

Take half of the x-term coefficient and square it. Add this value to both sides. In this example we have:

The x-term coefficient = −1

The half of the x-term coefficient = −1/2

After squaring we have (−1/2)2=1/4

When we add 1/4 to both sides we have:

x2−x+1/4=12+1/4

STEP 3: Simplify right side

x2−x+1/4=49/4

STEP 4: Write the perfect square on the left.

<span>(x−1/2)2=<span>49/4
</span></span>

STEP 5: Take the square root of both sides.

x−1/2=±√49/4

STEP 6: Solve for x.

<span>x=1/2±</span>√49/4

that is,

<span>x1=−3</span>

<span>x2=4</span>

<span>and the one from before </span>

<span>x=-1</span>

7 0
4 years ago
Read 2 more answers
the product of 7 and a number increased by 3 is equal to twice the number subtracted from 39 find the number
Vanyuwa [196]
Say x is the number

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4 0
3 years ago
Read 2 more answers
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Dafna1 [17]

Answer:

384 cm^3

Step-by-step explanation:

(16 times 4) times 6 = 384   :D

8 0
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