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lisov135 [29]
3 years ago
6

Which equation represents the exponential function that goes through the points (0,4) and (3, 1/2).

Mathematics
1 answer:
antiseptic1488 [7]3 years ago
6 0

Answer:

b.y(1/2)^x

Step-by-step explanation:

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If x+1/x= 3, then prove that m^5+1/m^5= 123
alina1380 [7]

9514 1404 393

Explanation:

We can start with the relations ...

  \displaystyle\left(x+\frac{1}{x}\right)^3=\left(x^3+\frac{1}{x^3}\right)+3\left(x+\frac{1}{x}\right)\\\\\left(x+\frac{1}{x}\right)^5=\left(x^5+\frac{1}{x^5}\right)+5\left(x^3+\frac{1}{x^3}\right)+10\left(x+\frac{1}{x}\right)\\\\\textsf{From these, we can derive ...}\\\\x^5+\frac{1}{x^5}=\left(x+\frac{1}{x}\right)^5-5\left(\left(x+\frac{1}{x}\right)^3-3\left(x+\frac{1}{x}\right)\right)-10\left(x+\frac{1}{x}\right)

  \displaystyle x^5+\frac{1}{x^5}=\left(x+\frac{1}{x}\right)^5-5\left(x+\frac{1}{x}\right)^3+5\left(x+\frac{1}{x}\right)\right)\\\\x^5+\frac{1}{x^5}=3^5 -5(3^3)+5(3)\\\\=((3^2-5)3^2+5)\cdot3=(4\cdot9+5)\cdot3=(41)(3)\\\\=\boxed{123}

7 0
3 years ago
Could someone answer this pls??
Hitman42 [59]

Answer:

AREA OF SHADED REGION=AREA OF LARGE PARALLELOGRAM-AREA OF SMALL PARALLELOGRAM

=8*12-(6*4)

=96-24

=72unit^2

5 0
2 years ago
Read 2 more answers
Change the following algebraic expressions to the statement in words: i. 3mn +7 ii. xy + (x+y)
kicyunya [14]

Answer:

i) 3*m*n + 7

Then we can write the first term as:

"3 times the product between two numbers"

Where the product of two numbers is m*n

And after that we need to add 7, then the complete sentence is:

"3 times the product between two numbers, increased by 7"

ii) x*y + (x + y)

The first part, x*y, can be written as:

"the product of two numbers"

where the two numbers are the number x and the number y.

After that, we add the sum of these two numbers, then the complete sentence can be:

"the product of two numbers, plus the sum of these two numbers"

8 0
2 years ago
Re-write the equation after you combine
tekilochka [14]
- 2x - 11 = - 25 :) hope this is ok
4 0
3 years ago
Read 2 more answers
In the statement, “Weight is a function of height,” which variable is the input and which is the output?
3241004551 [841]

Answer:

A. Height is input, Weight is output

Step-by-step explanation:

We are given the statement,

"Weight is a function of height".

As we know,

<em>In a function of the form y=f(x), the input variable is 'x' and the output variable is 'y'.</em>

If we write the given statement in the form y=f(x), we get,

Weight=f(Height)

This means that the input variable is 'Height' and the output variable is 'Weight'.

Hence, option A is correct.

5 0
3 years ago
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