Rewrite the following equation in standard form.

y = 6x + 3

The x-intercept is (-0.67, 0), which means that when y = 0, x = -0.67. The y-intercept is (0, 2), which means that when x = 0, y = 2.

To find the x and y-intercepts of the graph on a calculator, follow the steps given below:

First, we need to graph the equation in the calculator to obtain its graph. Then, we can read off the x and y-intercepts from the graph. Here are the steps:

Step 1: Press the ‘Y=’ button on the calculator to enter the equation in the calculator. For example, if the equation is y = 3x + 2, type this equation in the calculator.

Step 2: Press the ‘Graph’ button on the calculator. This will show the graph of the equation on the screen. The graph will show the x and y-intercepts of the equation.

Step 3: To find the x-intercept, look for the point where the graph crosses the x-axis. The x-coordinate of this point is the x-intercept. To find the y-intercept, look for the point where the graph crosses the y-axis. The y-coordinate of this point is the y-intercept. For example, consider the equation y = 3x + 2. The graph of this equation looks like this: Graph of y = 3x + 2

The x-intercept is (-0.67, 0), which means that when y = 0, x = -0.67.

The y-intercept is (0, 2), which means that when x = 0, y = 2.

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Answer:

125 degrees

Step-by-step explanation:

Answer:

SA = 94 ft²

Step-by-step explanation:

To find the surface area of a rectangular prism, you can use the equation:

SA = 2 ( wl + hl + hw )

SA = surface area of rectangular prism

l = length

w = width

h = height

In the image, we are given the following information:

l = 4

w = 5

h = 3

Now, let's plug in the information given to us to solve for surface area:

SA = 2 ( wl + hl + hw)

SA = 2 ( 5(4) + 3(4) + 3(5) )

SA = 2 ( 20 + 12 + 15 )

SA = 2 ( 47 )

SA = 94 ft²

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the probability of that there will be 2 defective items among them is 0.476 or 47.6%.

What is probability?

By simply dividing the favorable number of possibilities by the entire number of possible outcomes, the probability of an occurrence can be determined using the probability formula. Because the favorable number of outcomes can never exceed the entire number of outcomes, the chance of an event occurring might range from 0 to 1. Calculating the possibility of an event occurring is the focus of the math discipline of probability. Probability gauges the likelihood of an event occurring.

there are 4 defective items in a lot consisting of 10 items.

from this lot we select 5 items at random.

The number of ways in which 55 items can be selected 10 C 5 = 252.

Number of ways in which 2 defective systems and 3 non-defective systems can be selected

4C2 * 6C3 = 6*20=120

The probability = 120 / 252 = 0.476

Hence the probability of that there will be 2 defective items among them is 0.476 or 47.6%.

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Option c) is the correct answer of the  expression, the solution is (c) \(\sqrt{ 218 }\).

In mathematics, you can multiply, divide, add, or subtract. An expression is constructed as follows: Number, expression, and mathematical operator

A mathematical expression is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) It is possible to contrast expressions and phrases.

The absolute value (or modulus) of a complex number z = a + bi is defined as the distance between the origin and the complex plane point (a, b). It is possible to compute it as follows:

\(\sqrt{a^2+b^2}\) =  |z|

In this situation, z = 13 - 7i, which means that a = 13 and b = -7. Therefore,

 |z| = \(\sqrt{132=(-7)2} = \sqrt{169+49} =\sqrt{218}\)

As a result, the solution is (c) StartRoot 218 EndRoot.

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9514 1404 393

Answer:

  39 pages per week

Step-by-step explanation:

(331.5 pages)/(8.5 weeks) = 39 pages/week

Answer:

1. (2.75) , (\(\sqrt{8}\)), (2.8) , (\(\sqrt{10}\))

2. \(\sqrt{13}\), 3.5, \(-\sqrt{12}\), -3.5

Step-by-step explanation:

Answer:

(x+2)(x+3)

(x-9)(x+10)

Step-by-step explanation:

Using ax^2+bx+c, you need to find factors of a*c that are equal to the sum of b.

2x^2+5x+3

2*3=6 and 2+3=6 so 2x^2+5x+3 can be written as (x+2)(x+3).

15x^2+x-6

15*-6=-90, -9*10 also equals -90 and -9+10=1, so it can be written as

(x-9)(x+10).

Hope this helps!

$6.60 because 6.00 + 0.60 = 6.60

Answer:  56

Step-by-step explanation:

There are 8 pieces of fruit to choose from.

When you choose the next piece, there are only 7 pieces remaining to choose from.

First pick    and     Second pick

     8             x         7 remaining   =   56

Answer:

2/12

Step-by-step explanation:

There is a 1/6 chance of rolling a 3 once because there are six sides and only one 3, double that ratio if your want the probability of rolling that same number twice in a row.

Answer:

number one is -5 because -2-3 is -5

number two is 25 because negative times negative is a positive and because -5x-5 is 25

number three is 5 becuase 0 cancels out 3 so it is 5

Step-by-step explanation:

the only thing I could think is that you would replace the x with whatever it says x stands for

f (2) =2-3

g (5) = 2 {5}

h (0) = 5-3 {0}

then I would just solve hope it helps

The equation of the function is  F(x) = -3(x-4)² +4 , the correct answer is Option D

The missing graph is attached with the answer

A function is a law that relate the independent variable and the dependent variable.

It is given that

The graph of F(x), shown below, resembles the graph of G(x)= x², but it has been changed

From the graph, it is seen that,

G(x) when shifted by -4 on the negative x axis.

and graph shifted by +4 on the positive y axis.

F(x) is scaled by a factor of -⅓ of G(x)

it is reflected across the x-axis.

So the equation of the function is

F(x) = -3(x-4)² +4

Therefore ,  the correct answer is Option D.

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Answer:

i don't know how i can help you

Step-by-step explanation:

Answer:

76%

Step-by-step explanation:

In order to find the answer to this question you must divide the output of dividing 42 and 32 by 100 to receive the answer.

42/32

42/32=1.3125    

100=1.3125*x      

100/1.3125=x

76.1904761905=x

x=76.1904761905

Hope this helps.

The surface area of the rectangular prism is 112 square metes.

The sum of all area of each surface that make up an object is referred to as its surface area.

So that in the given question,

Area of a rectangle = length x width

i. area of its base = length x width

                            = 8 x 2

                            = 16 sq. m

ii. area of its front surface = length x width

                                      = 4 x 8

                                      = 32 sq. m

iii. area of it one of its sides = length x width

                                    = 4 x 2

                                    = 8 sq. m

Therefore,

surface area of the rectangular prism = (2 x 16) + (2 x 32) + (2 x 8)

                                       = 32 + 64 + 16

                                       = 112

The surface area of the rectangular prism is 112 square meters.

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It is given that the distance on the map is 8 inches.

It is also given that the map uses a scale of 2 inches=1 mile.

Hence the actual distance is given by:

The distance in real life is 4 miles.

Answer:

15x*45 i think

Step-by-step explanation:

Hi!

I can help you with joy!

Answer:

0.00972

Hope it helps.

Do comment if you have any queries regarding my answer.

~Misty~

Answer: 5

Step-by-step explanation:

From the question, we are informed that "x varies inversely with v". This means that

x = k/v

where,

k is a constant

We have to find k when x=35 when v=3

x = k/v

35 = k/3

k = 35 × 3

k = 105

Therefore when v = 21, x will be:

x = k/v

x = 105/21

x = 5

Answer:

y = -6x + 14

Step-by-step explanation:

The slope is always the one connected to the x so it is either the second or the last one

Since the line is going downward it has to be the second one

Answer:

Its 3 bro

Step-by-step explanation:

my guy A is just B scaled 3 times, every number on B times 3 equals their counterpart in A

The equations that are in standard forms are;

2x + 3y = -6

-4x + 3y = 12

Options B and C

An equation is simply defined in standard forms as;

Ax + By = C

Such that the parameters are expressed as;

A, B, and C are all constants and x and y are factors.

The condition is set out so that the constant term is on one side and the variable terms (x and y) are on the cleared out.

The coefficients A, B, and C are integers

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Answer:

Problem is explained in images

Answer:

9m+54=84

Step-by-step explanation:

9m+57=87 then 9(m+6)=?

9m = 30

30+54=84

The Normal distribution is symmetric and ranges from negative to positive infinity, while the Log-normal distribution is skewed and only takes positive values. To select the better fit for data, consider characteristics (positivity and skewness favor Log-normal, symmetry favors Normal), hypothesis testing, visualization, and statistical tests.

Let's analyze each section separately:
a) The major differences between the Normal and Log-normal distributions are:

Normal Distribution: The Normal distribution, also known as the Gaussian distribution, is a symmetric probability distribution that is defined by its mean (μ) and standard deviation (σ). It follows a bell-shaped curve and is often used to model naturally occurring phenomena. The range of values extends from negative infinity to positive infinity.

Log-normal Distribution: The Log-normal distribution is a skewed probability distribution that arises when the logarithm of a random variable follows a normal distribution. It is characterized by its parameters mu (μ) and sigma (σ) of the underlying normal distribution. Unlike the Normal distribution, the Log-normal distribution only takes positive values.

b) Selecting which distribution fits the data better depends on the nature of the data and the research question at hand. Here are a few considerations:

1. Data Characteristics: If the data consists of positive values and the distribution appears to be skewed, the Log-normal distribution might be more appropriate. On the other hand, if the data is symmetric and unbounded, the Normal distribution may be a better fit.

2. Hypothesis Testing: If you have a specific hypothesis to test or a theoretical justification for choosing one distribution over the other, it is advisable to use that distribution.

3. Visualization: Plotting the data and comparing it to the shapes of the Normal and Log-normal distributions can provide visual insights into which distribution aligns better with the data.

4. Statistical Tests: Statistical tests such as the Kolmogorov-Smirnov test or the Anderson-Darling test can be used to assess the goodness-of-fit for each distribution and determine which one provides a better fit to the data.

In summary, selecting the appropriate distribution involves considering the characteristics of the data, the research question, and statistical tests. Visualization and hypothesis testing can further aid in determining the best fit distribution.

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Answer:

Step-by-step explanation:

1) \(\overline{AC}\) bisects \(\overline{BD}\) and \(\overline{BC} \parallel \overline{AD}\) (given)

2) \(\overline{AE} \cong \overline{EC}\) (a bisector splits a segment into two congruent parts)

3) \(\angle BCE \cong \angle EAD\) (if two parallel lines are cut by a transversal, the alternate interior angles are congruent)

4) \(\angle CBE \cong \angle EDA\) (if two parallel lines are cut by a transversal, the alternate interior angles are congruent)

5) \(\triangle BEC \cong \triangle DEA\) (AAS)

Answer:

The system 800x+1300y=12300 and y = x+3 can be used to determine the number of associate assigned to the case and the number of partners assigned to the case where x represent the number of associates and y represent the number of partner

Step-by-step explanation:

Per day charge of each associate = $800

Per day charge of each partner = $1300

Total charged per day = $12300

Let,

x be the number of associates

y be the number of partners

According to given statement;

800x+1300y=12300        Eqn 1

y = x+3              Eqn 2

The system 800x+1300y=12300 and y = x+3 can be used to determine the number of associate assigned to the case and the number of partners assigned to the case where x represent the number of associates and y represent the number of partners