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2 years ago

(4y + 3) (5x - 7) (3x + 17° X= ,y= ,

Mathematics

1 answer:

Kryger [21]2 years ago

4 0

Answer:

Simplifying

4y + 3 = 5x + -7 + 3x + 17

Reorder the terms:

3 + 4y = 5x + -7 + 3x + 17

Reorder the terms:

3 + 4y = -7 + 17 + 5x + 3x

Combine like terms: -7 + 17 = 10

3 + 4y = 10 + 5x + 3x

Combine like terms: 5x + 3x = 8x

3 + 4y = 10 + 8x

Solving

3 + 4y = 10 + 8x

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-3' to each side of the equation.

3 + -3 + 4y = 10 + -3 + 8x

Combine like terms: 3 + -3 = 0

0 + 4y = 10 + -3 + 8x

4y = 10 + -3 + 8x

Combine like terms: 10 + -3 = 7

4y = 7 + 8x

Divide each side by '4'.

y = 1.75 + 2x

Simplifying

y = 1.75 + 2x

<h2>i hope that helps </h2>

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H(x)= 9/x( x^2-49)<br> Determine the domain of the function

Norma-Jean [14]

Answer: The domain of the function $h(x) = \frac{9}{x(x^2-49)}$ is:

Interval Notation: (-∞ , -7) ∪ (-7 , 0) ∪ (0 , 7) ∪ (7, ∞)

Set-Builder Notation: { x | x ≠ 0 , 7 , -7 }

All real numbers besides 0, 7, and -7.

Step-by-step explanation:

In order to find the domain of your rational function, we need to simplify it:

$h(x) = \frac{9}{x(x^2-49)} = \frac{9}{(x)(x+7)(x-7)}$

Remember, most of the time, the domain of a rational function consists of all real numbers besides zero.

To find the domain, we equal the equations in the denominator to zero.

$x=0$

$x+7=0$ --> $x=-7$

$x-7=0$ --> $x=7$

So all real numbers except for 0, -7, and 7 are in the domain of this rational function.

8 0

3 years ago

Bagaimana cara membuktikan bahwa persamaan garis tegak lurus itu benar

Tems11 [23]

Ketika dua garis tegak lurus, kemiringan satu adalah timbal balik negatif dari yang lain.Jika kemiringan satu baris adalah m, kemiringan yang lain adalahCoba ini Drag poin C atau D. Catatan lereng ketika garis tegak lurus satu sama lain.
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3 years ago

Does anyone know this ? Thank you

alina1380 [7]

Answer:

Step-by-step explanation:

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6 0

3 years ago

A community college has a math placement exam that has a mean of 65 and a standard deviation of 8.2. If a student takes the exam

Marat540 [252]

Answer:

The score that cuts off the bottom 2.5% is 48.93.

Step-by-step explanation:

When the distribution is normal, we use 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 question, we have that:

$\mu = 65, \sigma = 8.2$

What is the score that cuts off the bottom 2.5%

This is X when Z has a pvalue of 0.025, so X when Z = -1.96.

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

$-1.96 = \frac{X - 65}{8.2}$

$X - 65 = -1.96*8.2$

$X = 48.93$

The score that cuts off the bottom 2.5% is 48.93.

8 0

3 years ago

Read 2 more answers

How do you find the median and standard deviation for 3,3,3,3,4,4,4,4,4,5,5,5,5,5,5,5,6,6,6,6,6,6,6,6,6,6,7,7,7,7,7,7,8,8,8,8,8,

Rashid [163]

Answer:

Median is 6

standard deviation is 2.39

Step-by-step explanation:

the median is the mid number in the data set

The median formula is {(n + 1) ÷ 2}th, where “n” is the number of items in the set and “th” just means the (n)th number.

There are 51 data points in this set (n = 51)

so 51 / 2 = 25.5, the. number in the 25th slot is our median

3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6,<u> 6</u>, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9, 9, 9, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11

the standard deviation is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.

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2 years ago