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3 years ago

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Consider the given functions. Select the expression that will produce h(x). A. f(x) + f(x) B. f(x) − g(x) C. f(x) + g(x) D. g(x)

− f(x)

1 answer:

Liula [17]3 years ago

3 0

Answer:

here is your answer

Step-by-step explanation:

here is your answer

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Please help right away.

Travka [436]

$\sum\limits_{k=1}^{\infty}420\left(\dfrac{1}{6}\right)^{k-1}$

The infinite geometric series is converges if |r| < 1.

We have r=1/6 < 1, therefore our infinite geometric series is converges.

The sum S of an infinite geometric series with |r| < 1 is given by the formula :

$S=\dfrac{a_1}{1-r}$

We have:

$a_1=420\left(\dfrac{1}{6}\right)^{1-1}=420\left(\dfrac{1}{6}\right)^0=420\\\\r=\dfrac{1}{6}$

substitute:

$S=\dfrac{420}{1-\frac{1}{6}}=\dfrac{420}{\frac{5}{6}}=420\cdot\dfrac{6}{5}=84\cdot6=504$

Answer: d. Converges, 504.

8 0

2 years ago

What is Perfect squares?

sashaice [31]

A perfect square is a number that can be expressed as the product of two equal integers.

4 0

2 years ago

Read 2 more answers

This problem illustrates the limit derivation of a Poisson distribution from Binomial distributions. Suppose an average of 6 arr

expeople1 [14]

Answer:

I need help with mathematics please

7 0

1 year ago

Jolene wants to invest $2000 into a money market account. Interest is to be 6.5% compounded annually, and she wants to take the

timama [110]

Answer:

Interest = 650$

Step-by-step explanation:

Given:

Invest Inv = 2000$, interest rate r = 6.5% compounded annually

and time n = 5 years

Formula for calculation is:

Int = (Inv · r · n) / 100

Int = (2000 · 6.5 · 5) / 100 = 650$

Int = 650$

God with you!!!

3 0

2 years ago

In the parabola y = (x + 12 + 2, what is the vertex?

VladimirAG [237]

Answer:

The vertex is the point (-6,-34)

Step-by-step explanation:

we know that

The equation of a vertical parabola into vertex form is equal to

$y=a(x-h)^{2}+k$

where

(h,k) is the vertex of the parabola

In this problem we have

$y=x^{2}+12x+2$

Convert in vertex form

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$y-2=x^{2}+12x$

Complete the square . Remember to balance the equation by adding the same constants to each side.

$y-2+36=x^{2}+12x+36$

$y+34=x^{2}+12x+36$

Rewrite as perfect squares

$y+34=(x+6)^{2}$

$y=(x+6)^{2}-34$

The vertex is the point (-6,-34)

4 0

3 years ago