All categories

4 years ago

Find the slope and the Y-intercept of the equation 4x+5y=-9

Mathematics

2 answers:

SVEN [57.7K]4 years ago

8 0

Answer:

-4/5 and -9/5

Step-by-step explanation:

To find the slope of the graph we need to simply the given equation. We can do that by taking the x term to the left of the equation:

$4\cdot{x}+5\cdot{y}=-9$

$5\cdot{y}=-9-4\cdot{x}$

We can divide the whole expression by 5 to obtain the complete form of a straight line which is y=mx+c. Where m is the slope and c the y-intercept.

$y=-9/5-(4/5)\cdot{x}$

The slope is -4/5 and the y-intercept is -9/5

Fantom [35]4 years ago

7 0

4x + 5y = 9
5y = -4x + 9
y = -4/5x + 9/5......slope intercept form (y = mx + b)

In y = mx + b form, which is what this equation is in now, the slope is in the m position and the y int is in the b position

y = mx + b
y = -4/5x + 9/5
so ur slope(m) = -4/5 and ur y int (b) = 9/5

You might be interested in

"Which number can be inserted in the parentheses so the numbers are ordered from least to greatest?" -3,(),-1 1/8 A. -3 1/2 B. 0

-BARSIC- [3]

Answer:

Option C

Step-by-step explanation:

The first number is - 3, then we have a blank and the third number is - 1 1/8

In order for the numbers to be arranged from least to greatest, the number in the center should be greater than -3, and lesser than -1 1/8

Note that for negative numbers, the larger the constant, the smaller the number. i.e. -5 is smaller than -4.

So from the given options, the only number that is greater than -3 and lesser than -1 1/8 is - 2 1/4

So, option C gives us the correct answer to have the numbers ordered from least to greatest.

7 0

3 years ago

What is the answer explained to 6+(-9)-(-5)-(5×0)

Zarrin [17]

Answer:

the answer is 2

Step-by-step explanation:

7 0

3 years ago

How do i round 981,657 to the nearest ten thousand ?

Arlecino [84]

Since it is under 985,000, you would round it down. So your answer rounded to the nearest ten thousand would be 980,000

6 0

3 years ago

Slices of pizza for a certain brand of pizza have a mass that is approximately normally distributed with a mean of 67.7 grams an

Alexxx [7]

Answer:

a. s.e. = 0.338

b. The probability of finding a random slice of pizza with a mass of less than 67.2 grams is 0.5871 or 58.71%

c. The probability of finding a 20 random slices of pizza with a mean mass of less than 67.2 grams is 0.0694 or 6.94%

d. The sample mean of 62.75 would represent the 15th percentile

Step-by-step explanation:

1. Let's review the information provided to us to answer the question properly:

μ of the mass of slices of pizza for a certain brand = 67.7 grams

σ of the mass of slices of pizza for a certain brand = 2.28 grams

2. For samples of size 20 pizza slices, what is the standard deviation for the sampling distribution of the sample mean?

Let's recall that the standard deviation of the sampling distribution of the mean is called the standard error of the mean and its formula is:

μσs.e.= √σ/n, where n is the sample size.

s.e. = √2.28/20

s.e. = 0.338

3. What is the probability of finding a random slice of pizza with a mass of less than 67.2 grams?

Let's find the z-score for X = 67.2, this way:

z-score = (X - μ)/σ

z-score = (67.2 - 67.7)/2.28

z-score = 0.5/2.28

z-score = 0.22 (rounding to the next hundredth)

Now, using the z-table, let's find p, the probability:

p (z = 0.22) = 0.5871

The probability of finding a random slice of pizza with a mass of less than 67.2 grams is 58.71%

4. What is the probability of finding a 20 random slices of pizza with a mean mass of less than 67.2 grams?

Let's use the central limit theorem to find the z-score, this way:

z-score = X - μ/s.e

z-score = 67.2 - 67.7/0.338

z-score = -0.5/0.338

z-score = - 1.48

Now, using the z-table, let's find p, the probability:

p (z = -1.48) = 0.0694

5. What sample mean (for a sample of size 20) would represent the bottom 15% (the 15th percentile)?

For p = 0.150, let's find the z-score:

z-score = - 2.17

z-score = X - μ/s.e

- 2.17 = (X - 67.7)/2.28

- 4.95 = X - 67.7

X = 67.7 - 4.95

X = 62.75 (rounding to the next hundredth)

The sample mean of 62.75 would represent the 15th percentile

7 0

3 years ago

2 The diagram shows a

Strike441 [17]

Diagram? There is no diagram given.

$i = \frac{180(n - 2)}{n}$

$i = \frac{180(12 - 2)}{12} = \frac{180(10)}{12} = \frac{1800}{12} \\ i = 150\degree$

Cannot solve b without the diagram.

5 0

3 years ago