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never [62]
3 years ago
11

I need help with this

Mathematics
1 answer:
fomenos3 years ago
5 0

Answer:

B

Step-by-step explanation:

It's B

3^5 = 243

so the 5th root of 243 is 3

(x^7)^(1/5) = x^(7/5)

(y^10)^(1/5) = 7 ^(10/5) = 7^2

z^(21)^(1/5) = z^(21/5)

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Please help solve for x..
aalyn [17]

Answer:

x = 1 or x = -1

Step-by-step explanation:

Given equation:

x^{100}-4^x \cdot x^{98}-x^2+4^x=0

Factor out -1:

\implies -1(-x^{100}+4^x \cdot x^{98}+x^2-4^x)=0

Divide both sides by -1:

\implies -x^{100}+4^x \cdot x^{98}+x^2-4^x=0

Rearrange the terms:

\implies 4^x \cdot x^{98}-4^x-x^{100}+x^2=0

\textsf{Apply exponent rule} \quad a^{b+c}=a^b \cdot a^c \quad \textsf{to }x^{100}:

\implies 4^x \cdot x^{98}-4^x-x^{98}x^2+x^2=0

Factor the first two terms and the last two terms separately:

\implies 4^x(x^{98}-1)-x^2(x^{98}-1)=0

Factor out the common term (x^{98}-1) :

\implies (4^x-x^2)(x^{98}-1)=0

<u>Zero Product Property</u>:  If a ⋅ b = 0 then either a = 0 or b = 0 (or both).

Using the <u>Zero Product Property</u>, set each factor equal to zero and solve for x (if possible):

\begin{aligned}x^{98}-1 & = 0 & \quad \textsf{or} \quad \quad4^x-x^2 & = 0 \\x^{98} & =1 & 4^x & = x^2 \\x & = 1, -1 & \textsf{no}& \textsf{ solutions for } x \in \mathbb{R}\end{aligned}

Therefore, the solutions to the given equation are: x = 1 or x = -1

Learn more here:

brainly.com/question/27751281

brainly.com/question/21186424

3 0
2 years ago
How do you know if a graph you are looking at shows a periodic function?
Savatey [412]
You know when it is a periodic function if the values repeats in regular intervals or periods. An example of this is trigonometric functions that repeat over intervals of 2 pi radians. 
7 0
3 years ago
I need help with this
EastWind [94]
I think you add the numbers together, and then divide by three
6 0
4 years ago
Read 2 more answers
Chris is buying a new I-phone at the discount of 10%. The original price is $399.99. How much money will he pay for his new phon
kodGreya [7K]

Answer:

chris needs to pay 10% off that amount (aka the orignal amount)

Step-by-step explanation:

5 0
3 years ago
3. The sum of three consecutive numbers<br> is 42. What are the numbers?
Zanzabum

Answer:

13 + 14 + 15

Step-by-step explanation:

n + (n + 1) + (n +2) =42

n + n + n + 1 + 2 = 42

3n + 3 = 42

(subtract 3 from both sides)

3n = 39

(divide both sides by 3)

n = 13

(solve)

n + (n + 1) + (n +2) =42

13 + (13 + 1) + (13 + 2) = 42

13 + (14) + (15) = 42

13, 14, 15

(Hope this helps, have a nice day!)

3 0
3 years ago
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