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3 years ago

What is the difference between the reciprocal and the opposite of a fraction? Plz help!

Mathematics

1 answer:

aliina [53]3 years ago

4 0

A reciprocal is when you flip the numerator and denominator.

Opposite just means multiplying the fraction by -1.

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If l || m, classify the marked angle pair and give their relationship, then solve for X.

pickupchik [31]

Alternate exterior angles(AEA).
Given their relationship the angles are congruent.
8x-71=5x+7
3x-71=7
3x=78
X=26

6 0

3 years ago

For the following pair of functions, find (f+g)(x) and (f-g)(x).

ch4aika [34]

Given:

The functions are

$f(x)=4x^2+7x-5$

$g(x)=-9x^2+4x-13$

To find:

The functions $(f+g)(x)$ and $(f-g)(x)$ .

Solution:

We know that,

$(f+g)(x)=f(x)+g(x)$

$(f+g)(x)=4x^2+7x-5-9x^2+4x-13$

$(f+g)(x)=(4x^2-9x^2)+(7x+4x)+(-5-13)$

$(f+g)(x)=-5x^2+11x-18$

And,

$(f-g)(x)=f(x)-g(x)$

$(f-g)(x)=(4x^2+7x-5)-(-9x^2+4x-13)$

$(f+g)(x)=4x^2+7x-5+9x^2-4x+13$

$(f+g)(x)=(4x^2+9x^2)+(7x-4x)+(-5+13)$

$(f-g)(x)=13x^2+3x+8$

Therefore, the required functions are $(f+g)(x)=-5x^2+11x-18$

and $(f-g)(x)=13x^2+3x+8$ .

7 0

3 years ago

100 points please solve fast! Brainliest please! Please help

Dominik [7]

Answer:

4 rectangles are inside the rectangle the other ones are squares

Step-by-step explanation:

6 0

3 years ago

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a builder buys 24.5 acres of land to develop a new community of homes and parks the builder plans to use 0.25 of the land and pa

Elena-2011 [213]

24.5 x 0.25 = 6.125 acres that will be used for the new park.

24.5 x .72 = 17.65 acres in the second property

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3 years ago

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The national weather service keeps records of rainfall in valleys. Records indicate that in a certain valley the annual rainfall

Setler79 [48]

Answer:

The mean is 95 and the standard deviation is 2

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this question:

Population:

Mean 95, Standard deviation 12

Samples of size 36:

By the Central Limit Theorem,

Mean 95

Standard deviation $s = \frac{12}{\sqrt{36}} = 2$

4 0

3 years ago