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2 years ago

Which expression is equivalent to g−m ÷ gn? g−m + n g−m ⋅ n g−m − n g−m ÷ n

Mathematics

2 answers:

Elan Coil [88]2 years ago

6 0

The answer would be G=m-n

Sauron [17]2 years ago

4 0

<h2>Answer:</h2>

The expression that is equivalent to the given expression is:

$g^{-m-n}$

<h2>Step-by-step explanation:</h2>

Two expression are said to be equivalent if by some simplification i.e. by some multiplication or division it could be represented in the same manner.

Here we are given a expression as:

g^{-m} ÷ g^n i.e.

$\dfrac{g^{-m}}{g^n}$

We know that:

$\dfrac{a^m}{a^n}=a^{m-n}$

Hence, we get:

$\dfrac{g^{-m}}{g^n}=g^{-m-n}$

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If one of the zeros of the cubic polynomial x3 + ax2 + bx + c is -1, then what will be the product of the other two zeros?

zhenek [66]

Answer:

The product of the other two zeros is c

Step-by-step explanation:

Let α, β and γ be the zeros of the polynomial x³ + ax² + bx + c. Since one of the zeros is -1, therefore let γ = -1. Hence:

sum of the roots = α + β + γ = -a

-1 + β + γ = -a

β + γ = -a + 1

αβ + αγ + βγ = b

-1(β) + (-1)γ + βγ = b

-β -γ + βγ = b

Also, the product of the zeros is equal to -c, hence:

αβγ = -c

-1(βγ) = -c

βγ = c

Hence the product of the other two zeros is c

6 0

2 years ago

Scores on a college entrance exam are normally distributed with a mean of 550 and a standard deviation of 100. Find the value th

Alinara [238K]

Answer:

The value that represents the 90th percentile of scores is 678.

Step-by-step explanation:

Problems of normally distributed samples are 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.

In this problem, we have that:

$\mu = 550, \sigma = 100$