The graph of a quadratic function had a domain of

For what values of a and m does f(x) have a horizontal asymptote at y = 2 and a vertical asymptote at x = 1? f(x)=2x^m/x+a {a =

iVinArrow [24]

Answer:

See below

Step-by-step explanation:

$f(x)=\frac{2x^{m} }{x+a}$

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

If x=1, then 1-1=0, which implies a vertical asymptote at x=1 since dividing by 0 is undefined.

3 0

3 years ago

Miss Barton and three neighbors purchase a snowblower to share. If the snow blower cost for 439.20, describe how you can estimat

faust18 [17]

Each person will have to pay 700 dollars

5 0

3 years ago

What is the solution to 9x−6<21?

Alisiya [41]

Answer:

$x > 3$

Step-by-step explanation:

1) Add 6 to both sides.

$9x > 21 + 6$

2) Simplify 21 + 6 to 27.

$9x > 27$

3) Divide both sides by 9.

$x > \frac{27}{9}$

4) Simplify 27/9 to 3.

$x > 3$

Therefor, the answer is option B. x > 3.

7 0

3 years ago

2 3/4 x 2 1/2 as a fraction

pentagon [3]

Answer:

Step-by-step explanation:

2*4+3= 11/4

2*2+1= 5/2

11/4 * 5/2 = 55/8

Simplified 6 7/8

7 0

2 years ago

Read 2 more answers

Of the total population of the United States, 20% live in the northeast. If 200 residents of the United States are selected at r

Snezhnost [94]

Answer:

0.0465 = 4.65% probability that at least 50 live in the northeast.

Step-by-step explanation:

I am going to use the normal approximation to the binomial to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that $\mu = E(X)$ , $\sigma = \sqrt{V(X)}$ .