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3 years ago

X – 6y - 9 = 0 x = 8y + 6 What is a resulting equation?

Mathematics

1 answer:

serious [3.7K]3 years ago

3 0

Answer:

-2y + 3 = 0

Step-by-step explanation:

x - 6y - 9 = 0

-6y - 9 = -x subtract x from both sides

6y + 9 = x divide both sides by -1

x = 8y + 6

6y + 9 = 8y + 6 replace x with 6y + 9

-2y + 9 = 6 subtract 8y from both sides

-2y + 3 = 0 subtract 6 from both sides

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solniwko [45]

Answer:

Step-by-step explanation:

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4 years ago

Terry Sheehan owns property assessed at $390,000 and pays a property tax rate of 1.69 per hundred dollars of assessed value. He

34kurt

Answer:

$1689

Step-by-step explanation:

Excess of rent amount over annual property tax bill = annual rent - annual property tax

annual property tax = [(assessed property value / 100) x 1.69]

( $390,000 / 100) x 1.69 = $6591

Annual rent = $690 x 12 = $8280

$8280 - $6591 = $1689

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3 years ago

A line passes through the points (0, 9) and (9, 19). What is its equation in slope-intercept form?

STatiana [176]

Answer:

y = 10/9x + 9

Step-by-step explanation:

To write the equation in its slope-intercept form, y = mx + b, we need to find the slope (m) of the line and its y-intercept (b).

Given the points (0, 9) and (9, 19), we can solve for the slope of the line using the following formula:

$m = \frac{y2 - y1}{x2 - x1}$

Let (x1, y1) = (0, 9)

and (x2, y2) = (9, 19)

Substitute these values on the formula:

$m = \frac{y2 - y1}{x2 - x1} = \frac{19 - 9}{9 - 0} = \frac{10}{9}$

Therefore, the slope (<em>m </em>) = 10/9.

Next, the <u>y-intercept</u> is the point on the graph where it crosses the y-axis, and has the coordinates, (0, <em>b </em>). It is also the value of the y when x = 0.

One of the given points is the y-intercept of the line, given by (0, 9). The y-coordinate, 9, is the value of b.

Therefore, the linear equation in slope-intercept form is: y = 10/9x + 9

3 0

2 years ago

Two coins, A and B, each have a side for heads and a side for tails. When coin A is tossed, the probability it will land tails-s

BlackZzzverrR [31]

Answer:

Is the number of tosses for each coin enough for the sampling distribution of the difference in sample proportions PA-PB to be approximately normal?

b. No, 20 tosses for coin A is enough, but 20 tosses for coin B is not enough.

Step-by-step explanation:

a) Data and Calculations:

The probability of coin A landing tails-side up = 0.5

The proportion of times coin A lands tails-side up (PA) = 20 * 0.5 = 10

Therefore, the probability of coin A landing heads-side up = 0.5 (1 - 0.5)

And the proportion of times that coin A lands heads-side up = 20 * 0.5 = 10.

The proportion on either side is equally distributed.

This is why 20 tosses for coin A is enough, since the sample proportions PA is approximately normal, symmetric, and equally distributed. There will be equal amounts of 10 tosses (0.5 *20) for either heads-side up or tails-side up.

For coin B, the probability of landing tails-side up = 0.8

The proportion of times coin B lands tails-side up (PB) = 20 * 0.8 = 16

Therefore, the probability of coin B landing heads-side up = 0.2 (1 - 0-.8)

The proportion on either side is not equally distributed, but skewed.

This is why 20 tosses for coin B is not enough, since the sample proportions PB is not approximately normal, symmetric, and equally distributed. There will be 16 tosses landing tails-side up (0.8*20) and only 4 tosses landing heads-side up (0.2*20).

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3 years ago

Rob mixed 3.7 grams of salt into a pot of soup he was cooking. Before he served the soup, Rob added 0.5 grams of salt. How much

saul85 [17]

Answer:

4.2 grams in total

Step-by-step explanation:

<h2>Remember to line up the decimal point when adding numbers that contain decimals.</h2>

3.7

+0.5

_______

4.2

5 0

3 years ago