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3 years ago

I need help with solving this question with the steps

Mathematics

1 answer:

nasty-shy [4]3 years ago

6 0

we are given

$f(x)=\frac{x^2+5x+6}{x+3}$

Firstly , we will factor numerator numerator

$f(x)=\frac{(x+3)(x+2)}{x+3}$

we can see that both numerator and denominator has common term as x+3

so, there will be hole at x+3=0

and we know that hole is a type of discontinuity

so, discontinuity would be at

$x=-3$ ............Answer

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2 years ago

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2 years ago

A cylinder has a surface area of 224 pie square meters and a diameter of 14 meters. Find the height of the cylinder.

inna [77]

Answer: 9 meters

Step-by-step explanation:

Hi, to answer this question we have to apply the formula:

Surface area if a cylinder (S)= 2 π r2 + 2 π r h

Where r is the radius and h is the height

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14 =2r

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7 0

3 years ago

HELP!!!!

ch4aika [34]

Answer:

$8 y^{50}$

Step-by-step explanation:

Given (64 y Superscript 100 Baseline) Superscript one-half.

Let us write it into an equation.

$\left(64 y^{100}\right)^{\frac{1}{2}}$

Apply radical rule: $\sqrt[n]{a}=a^{\frac{1}{2}}$ and $a^{m+n}=a^m+a^n$

$\begin{aligned}\left(64 y^{100}\right)^{\frac{1}{2}} &=\sqrt[2]{64 y^{100}} \\&=\sqrt[2]{8^{2} y^{50} y^{50}} \\&=\sqrt[2]{8^{2}\left(y^{50}\right)^{2}} \\&=8 y^{50}\end{aligned}$

Hence, $8 y^{50}$ is equivalent to (64 y Superscript 100 Baseline) Superscript one-half.

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3 years ago

a stock broker has kept a daily record of the value of a particular stock over the years and finds that the prices of the stock

Rainbow [258]

Answer:

The stock price beyond which 0.05 of the distribution fall is $12.44.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions 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.

Mean of $8.52 with a standard deviation of $2.38

This means that $\mu = 8.52, \sigma = 2.38$