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Ludmilka [50]
3 years ago
12

If f(x)=-4x+1 what is f(-x/2)

Mathematics
1 answer:
guapka [62]3 years ago
5 0

Answer:

f(\frac{-x}{2})=2x+1

Step-by-step explanation:

given f(x)=-4x+1................(1)

x=\frac{-x}{2}  put in equ (1)

f(x)=-4x+1

f(\frac{-x}{2} )  =-4(\frac{-x}{2})+1

 f(\frac{-x}{2})=2x+1 answer

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Use geometric series to find the fraction of 0.8967898989
Sliva [168]

I'm guessing the repeating part is 89 at the end, so that

x=0.8967\overline89\implies10^4x=8967.\overline{89}

Then

10^4x=8967+\displaystyle89\sum_{i=1}^\infty\frac1{100^i}

10^4x=8967+89\left(\dfrac1{1-\frac1{100}}-1\right)

10^4x=8967+\dfrac{89}{99}

x=\dfrac{8967}{10^4}+\dfrac{89}{99\cdot10^4}

x=\dfrac{443911}{495000}

###

An arguably quicker way without using geometric series:

10^4x=8967.\overline{89}

10^6x=896789.\overline{89}

10^6x-10^4x=887822

x=\dfrac{887822}{10^6-10^4}=\dfrac{443911}{495000}

8 0
3 years ago
Find the common ratio and the explicit formula <br><br>-3, 9, -27, 81,​
Fofino [41]

Answer:

see explanation

Step-by-step explanation:

These are the terms of a geometric sequence with n th term

a_{n}\\ = a(r)^{n-1}

where re a is the first term and r the common ratio

r = 9 ÷ - 3 = - 27 ÷ 9 = 81 ÷ - 27 = - 3 ← common ratio

and a = - 3, thus

[te x]a_{n}[/tex] = - 3(-3)^{n-1} ← explicit formula

6 0
3 years ago
what are the solutions of the equation x4 95x2 – 500 = 0? use factoring to solve. and x = ±10 and x = ±10i and x = ±10i and x =
Andreas93 [3]

Doing factorization, we know that the factors of the given equation are ±√5 and ±10i.

<h3>What is Factorization?</h3>

In mathematics, factorization or factoring consists of writing a number or any mathematical item as a product of several factors, typically small or easier objects of the same.

For example, 3 × 5 is a factorization of an integer 15 and is a factorization of an equation x² – 4.

So, we have the equation:

x⁴ + 95x² – 500 = 0

Factorizing the above equation:

x⁴ + 100x² - 5x² - 500 = 0

x²(x² + 100) - 5(x² + 100) = 0

(x² - 5)(x² + 100) = 0

Solving further:

x² = 5

x² = -100

x = ±√5

x = √-100

Factors: ±√5 and ±10i

Therefore, doing factorization, we know that the factors of the given equation are ±√5 and ±10i.

Know more about Factorization here:

brainly.com/question/25829061

#SPJ4

Complete question:
What are the solutions of the equation x4 + 95x2 – 500 = 0? Use factoring to solve.

x=+- sqrt 5 and x = ±10

x=+- sqrt i5 and x = ±10i

x=+- sqrt 5 and x = ±10i

x=+- sqrt i5 and x = ±10

7 0
1 year ago
Solve the system of equations <br> 3x-4y=18<br> -2x-3y=5
oksian1 [2.3K]
\left\{\begin{array}{ccc}3x-4y=18&/\cdot2\\-2x-3y=5&/\cdot3\end{array}\right\\\\+\left\{\begin{array}{ccc}6x-8y=36\\-6x-9y=15\end{array}\right\\-------------\\.\ \ \ \ \ \ \ -17y=51\ \ \ \ |:(-17)\\.\ \ \ \ \ \ \ \ \ y=-3\\\\3x-4(-3)=18\\3x+12=18\\3x=18-12\\3x=6\ \ \ \ |:3\\x=2\\\\Answer:x=2\ and\ y=-3\to(2;-3)

6 0
3 years ago
Read 2 more answers
Gina has 5 2/6 feet of silver ribbon and 2 4/6 of gold ribbon. how much more silver ribbon does gina have than golden ribbon?
MrRissso [65]
To answer the question above, we are simply to subtract the length of the gold ribbon which is 2 4/6 ft from the length of the silver ribbon, 5 2/6 feet. Mathematically,
                                5 2/6 feet - 2 4/6 feet = 8/3 feet 
Therefore, Gina has 8/3 feet more of the silver ribbon than the golden ribbon. 
8 0
3 years ago
Read 2 more answers
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