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3 years ago

X^3 2^x-x^2 2^x=6x2^x How do I find x?

Mathematics

1 answer:

Alexandra [31]3 years ago

5 0

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Find the sum of a finite geometric sequence from n = 1 to n = 7, using the expression −4(6)n − 1.

Verizon [17]

Answer:

Step-by-step explanation:

The formula of a sum of terms of a gometric sequence:

$S_n=a_1\cdot\dfrac{1-r^n}{1-r}$

a₁ - first term

r - common ratio

We have

$a_n=-4(6)^{n-1}$

Calculate a₁. Put n = 1:

$a_1=-4(6)^{1-1}=-4(6)^0=-4(1)=-4$

Calculate the common ratio:

$r=\dfrac{a_{n+1}}{a_n}\\\\a_{n+1}=-4(6)^{n+1-1}=-4(6)^n\\\\r=\dfrac{-4(6)^n}{-4(6)^{n-1}}=6^n:6^{n-1}\\\\\text{use}\ a^n:a^m=a^{n-m}\\\\r=6^{n-(n-1)}=6^{n-n+1}=6^1=6$

$\text{Substitute}\ a_1=-4,\ n=7,\ r=6:\\\\S_7=-4\cdot\dfrac{1-6^7}{1-6}=-4\cdot\dfrac{1-279936}{-5}=-4\cdot\dfrac{-279935}{-5}=(-4)(55987)\\\\S_7=-223948$

7 0

4 years ago

I am dying from these math questions

julia-pushkina [17]

It's base area times height.
so if you arrange the net patterns in such a way that 6 yard is it's height then it's base are would be 8yd²
therefore, volume of solid = 48 yd³

5 0

3 years ago

Choose the correct solution for the given equation.

kirill [66]

The answer is D for this equation

6 0

4 years ago

2. Devin is buying five quarts of motor oil and

Alla [95]

Answer:

Step-by-step explanation:

Multiply 5x4.49= 22.45

Do the same for the gasoline G5x2.59= 12.95

T22.45+12.95= 35.40

4 0

3 years ago

|x+4|+10=21<br><br> solve the following

borishaifa [10]

Answer: x = 7, x = -15

Step-by-step explanation:

This is an absolute value equation, so it has to be simplified first

|x+4|+10=21

|x+4|=11

Then you set it equal to the two values it can be, getting rid of the absolute value sign.

x+4=11

x+4=-11

x = 7

x = -15

Voila!

3 0

3 years ago

Read 2 more answers