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4 years ago

Convert y + 3 = -3(x + 5) to standard form.

Mathematics

1 answer:

emmasim [6.3K]4 years ago

6 0

Hi there!

$y + 3 = - 3(x + 5)$
First we need to work out the parenthesis, which can for instance be done using rainbow technique.

$y + 3 = - 3x - 15$
Now subtract 3 from both sides.

$y = - 3x - 18$
And finally add 3x to both sides.

$3x + y = - 18$
The 4th answer choice is correct.

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Write the point-slope form of each graph. Use the red point to write your equation. State the point and slope.

Vinil7 [7]

Answer:

First Graph:

Slope = - 4/5

Point-Slope Form: y - 3 = - 4/5 (x + 2)

Point: (-2, 3)

Second graph:

Slope = 4

Point-Slope Form: y + 6 = 4 (x + 1)

Point: (-1, -6)

Step-by-step explanation:

First graph has two points: (-2, 3) & (8, -5)

Use the two points to find the slope using the Slope-Formula

Slope-Formula: y2 - y1/x2 - x1

m = slope

m = - 5 - 3/8 - - 2

m = - 8/10

m = - 4/5

The slope of the line will be - 4/5

Now for Point-Slope Form, we’ll need to use the two points with the slope to identify the Point-Slope Form of the graph

Two points: (-2, 3) & (8, -5)

Slope: - 4/5

Point-Slope Formula: y - y1 = m (x - x1)

Point-Slope Form: y - 3 = - 4/5 (x + 2)

The point will be: (-2, 3)

5 0

3 years ago

A normal distribution has a mean of 50 and standard deviation of 5. Which value produces a negative z-score?

zimovet [89]

Answer:

$x\:$ .

Step-by-step explanation:

The z-score for a normal distribution is calculated using the formula:

$Z=\frac{x-\mu}{\sigma}$ .

From the question, the distribution has a mean of 50.

$\implies \mu=50$ and the standard deviation is $\sigma=5$ .

For a z-score to be negative, then, $\frac{x-\mu}{\sigma}\:$ .

$\frac{x-50}{5}\:$ .

$x-50\:$ .

$x\:$ .

$\therefore x\:$ .

Any value less than 50 will produce a negative z-score

8 0

4 years ago

Directions: Solve each problem. Show how you found each answer.

sergiy2304 [10]

1 hour and 43 minutes

if ten to 11 is 1 hr, there is 43 mins left over so the answer is 1 hr 43 mins

7 0

2 years ago

Read 2 more answers

Use the following information to complete parts I, II, and III. 1 hour=3600 seconds

icang [17]

Answer:

I) There are $8.760\times 10^3$ hours in 1 year.

II) The exact number of hours in one year is $8.76582\times 10^3$ hours.

Step-by-step explanation:

Given : 1 hour=3600 seconds

1 year = 31556952 seconds.

To find :

I) Use scientific notation to estimate the number of hours in one year.

1 day = 24 hours

1 year = 365 days

So, number of hours in one year is given by,

$n=24\times 365$

$n=8760$

In scientific notation,

$8760=8.760\times 10^3$

So, there are $8.760\times 10^3$ hours in 1 year.

II) 1 year = 31556952 seconds.

1 hour = 3600 seconds

In one year the number of hour is given by,

$n=\frac{31556952}{3600}$

$n=8765.82$

In scientific notation,

$8765.82=8.76582\times 10^3$

So, the exact number of hours in one year is $8.76582\times 10^3$ hours.

III) In two or more complete sentences, compare your answers to parts I and II. In your comparison, discuss similarities and differences.

The exact numbers of hours using 365 days is 8760 which is written as $8.760\times 10^3$ in scientific notation but using the given data we get $8.76582\times 10^3$ hours.

Comparing these answers the first one has only 3 significant figures and the second answer has six significant figures.

If we round these we get $8.8\times 10^3$ hours which has two significant numbers.

8 0

4 years ago

Simplify the square roots

sveta [45]

-10.4-10.4-13.4
total answer is -34.2

4 0

4 years ago