What are the steps for solving y = x + 3 as slope-intercept form

Hi there! Your answe is 24c

Please see an explanation below for a clear understanding to your problem.

Any questions about my explanation and answer can be asked through comments! :)

Step-by-step explanation:

\( \large \boxed{ {x}^{2} - {y}^{2} = (x + y)( x - y)}\)

The formula above is what we will be using. This is called "Difference of Two Squares".

Notice how the these expressions are similar to the formula's structure.

\( \large{ {(3c + 2)}^{2} - {(3c - 2)}^{2} }\)

Notice how there are minus sign, squared expression which we can factor by using the formula above. Therefore -

\( \large{ {x}^{2} = {(3c + 2)}^{2} } \\ \large{x = 3c + 2}\)

Therefore, our y would be 3c-2.

Then proceed with the formula.

\( \large{ {(3c + 2)}^{2} - {(3c - 2)}^{2} = (3c + 2 + 3c - 2)(3c + 2 - (3c - 2))}\)

Simplify.

\( \large{ (6c)(3c + 2 - 3c + 2)} \\ 6c(4) \\ 24c\)

Answer:

the answer is 101/9, in fraction it would be 11.2222..... in whole number would be 11, as mixed number would be 11 2/9

Answer:

45

Step-by-step explanation:

The equation for area of a triangle is:

\(A=\frac{1}{2}*b*h\)

Using the figure, we can determine the base is 15 since it is perpendicular to the height.

We can plug 6 (height) and 15 (base) into the equation to solve for the area...

\(A=\frac{1}{2}*6*15=\frac{1}{2}*90=\frac{80}{2}=45\)

Answer:

\( f'(x) = {e}^{x}( \sin x + \cos x ) \)

Step-by-step explanation:

\(f(x) = {e}^{x} \sin x \\ \\ f'(x) = \sin x \frac{d}{dx} {e}^{x} + {e}^{x} \frac{d}{dx} \sin x \\ \\ f'(x) = \sin x \: {e}^{x} +{e}^{x} \cos x \\ \\ f'(x) = {e}^{x}( \sin x + \cos x ) \)

volume= 16/3, A coordinate plane is a graphing and description system for points and lines. A vertical (y) axis and a horizontal (x) axis make up the coordinate plane. There are four quadrants in the coordinate plane. The point where these lines connect is called the origin (0, 0).

limits

z= 0 to z = 4-y-2x

y= 0 to y = 4- 2x

x= 0 to x= 2

volume

v= \(\int\limits^2_0 \int\limits^4_0 \int\limits^4_0 dzdydx\)

v= \(\int\limits^2_0 \int\limits^4_0 (4-y-2x) dydx\)

v= \(\int\limits^2_0 ( 4y- y^{2} / 2 - 2xy) ^4^-^2^x _0\)

dx= \(\int\limits^2_0 [ 16-8x - 16+ 4x^2 - 16x / 2 - 8x+ 4x^2 ] dx\)

v= \(\int\limits^2_0 [ 8+ 2x^2- 8x] dx\\\)

= [ 8x + 2x^3 / 3 - 8x^2 / 2 ] ^2_0

= [16+ 16/3- 16]

v= 16/3

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Complete Question

Question: Sketch The Tetrahedron Enclosed By The Coordinate Planes And The Plane 2x+Y+Z=4. Use A Triple Integral To Find The Volume Of The tetrahedron

Answer:

y=3x+2

Step-by-step explanation:

Find the slope. Slope=Rise/Run=3. Use plot points to find intercept. 5=3(1)+b, 5=3+b, 2=b

Jenna is actually correct. The square root of a rational number can be an irrational number.

A rational number is defined as a number that can be expressed as a ratio of two integers (i.e., a fraction), where the denominator is not zero. An irrational number, on the other hand, is a number that cannot be expressed as a ratio of two integers.

For example, the number 2 is a rational number because it can be expressed as the ratio 2/1. The square root of 2, however, is an irrational number because it cannot be expressed as a ratio of two integers.

Therefore, it is possible for the square root of a rational number to be irrational. Jenna's argument is correct.

While Sam's example of the square root of 121 is a valid point, it is not a general proof that all square roots of rational numbers are rational.

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The null hypothesis get rejected comparing the 95% confidence interval to the proportion of the given central valley residents and bay area residents .

As given in the question,

Total number of voters in California = 7525

x₁ = Number of voters of central valley residents approved California legislature

   = 68

n₁ = Total number of voters of central valley residents

   = 200

x₂ = Number of voters of bay area residents approved California legislature

   = 156

n₂= Total number of voters of bay area residents

   = 300

p₁ = proportion of voters of central valley

p₂= proportion of voters of bay area

p₁ = x₁/ n₁

   = 68/200

   = 0.34

p₂ = x₂/n₂

    = 156/300

    = 0.52

Standard error = √p₁(1 -p₁) / n₁ + p₂( 1- p₂)/n₂

                        = √0.34(1-0.34) / 200 + 0.52(1-0.52)/ 300

                        = √0.001122 + 0.000832

                        = 0.044

\(p_{w}\) = (68 + 156 )/ (200 + 300)

   = 0.448

\(q_{w} = 1- p_{w}\)

    = 1 - 0.448

    = 0.552

null hypothesis p₁ - p₂ = 0

z = ( 0.52 - 0.34 ) - 0/ √(0.448)(0.552)( 1/200 + 1/300)

  = 4

Tabular value for confidence interval 95% = 1.96

4 > 1.96

We reject the null hypothesis.

Therefore, the difference of proportion of central valley residents and the bay area residents rejection of null hypothesis as per given 95% confidence interval.

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The possible measures  for the other two angles will be that the sum of that angle must be 90 degree.

A triangle is considered to be 3-sided polygon in some cases  Each triangle has three sides and three angles, a few of which may be the same. The portion of the plane enclosed by the triangle is said the triangle interior, whereas the leftover portion is the exterior. Since we are  given that  one of the angles of the  given is a right angle, according to one of the rules of the triangle the sum of all the interior angles of a triangle should be 180, for the triangle ABC,

=>A+B+C = 180

=>A+90+C= 180

=>A+C= 180-90

=>A+C=90

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The type of dilation and scale factor in the figure shown is

Scale factors are used to increase or decrease image. The situation of increment is usually called magnifying or enlargement.

The given problem is enlargement since the preimage is smaller than the image. Also the scale factor will be greater than 1

Taking a point of reference say side 6 in the preimage and side 15 in the image and solve for the factor, assuming the factor is k

6k = 15

k = 15/6

k = 2.5

hence we say that the scale factor is 2.5

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Answer: Enlargement with scale factor of 2.5

Step-by-step explanation: I took the quiz so you don't have too!

Answer:

x = 3 or x = -2

Step-by-step explanation:

Solve for x over the real numbers:

(x + 2) (x - 3) = 0

Hint: | Find the roots of each term in the product separately.

Split into two equations:

x - 3 = 0 or x + 2 = 0

Hint: | Look at the first equation: Solve for x.

Add 3 to both sides:

x = 3 or x + 2 = 0

Hint: | Look at the second equation: Solve for x.

Subtract 2 from both sides:

Answer: x = 3 or x = -2

Using the Poisson distribution, there is a 0.8335 = 83.35% probability that 2 or fewer will be stolen.

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:

\(P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}\)

The parameters are:

The probability that a rental car will be stolen is 0.0004, hence, for 3500 cars, the mean is:

\(\mu = 3500 \times 0.0004 = 1.4\)

The probability that 2 or fewer cars will be stolen is:

\(P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)\)

In which:

\(P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}\)

\(P(X = 0) = \frac{e^{-1.4}1.4^{0}}{(0)!} = 0.2466\)

\(P(X = 1) = \frac{e^{-1.4}1.4^{1}}{(1)!} = 0.3452\)

\(P(X = 2) = \frac{e^{-1.4}1.4^{2}}{(2)!} = 0.2417\)

Then:

\(P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.2466 + 0.3452 + 0.2417 = 0.8335\)

0.8335 = 83.35% probability that 2 or fewer will be stolen.

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Answer:

30 books

Step-by-step explanation:

One book each month is 20 books, so added to the 10 he's already read is 30.

Given two congruent circles,  ⊙A ≅ ⊙V. The correct congruency statements are arc BE ≅ arc ZX and BE ≅ ZX.

Congruence is a term that refers to objects that are the same shape and same size or dimension.

In this problem, two congruent circles are given as in the attached picture.

Notice that:

 ∠BAE ≅ ∠ZVX

Hence,

BE ≅ ZX

Δ BAE ≅ ΔZVX

arc BE ≅ arc ZX

arc CD ≅ arc YW

∠DAB ≅ ∠XVY

arc DE ≅ arc ZY

arc WX ≅ arc BC

Hence, the correct congruency statements from the list of options are: arc BE ≅ arc ZX and BE ≅ ZX.

The picture in your question was missing. Most likely it was like on the attached picture.

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Answer:

B. BE = ZX and F. BE = ZX

Step-by-step explanation:

edg 23

Answer:

False

Step-by-step explanation:

Substitute k for 1

9(1)+5>18

9+5>18

14>18

14 is not greater tahn 18, so the answer is false.

Answer:

the area of the parallelogram is 120 units

Blinding refers to the nondisclosure of the treatment an experimental unit is receiving in a controlled experiment.

Blinding is a technique used in experimental design to reduce bias and improve the validity of results. It refers to the practice of not revealing to the experimental units (e.g., participants, animals) or the experimenters which treatment they are receiving in a controlled experiment.

Blinding is used to eliminate potential sources of bias that might influence the results of the experiment. For example, if the participants are aware of the treatment they are receiving, they might behave differently and affect the results. Similarly, experimenters might unconsciously treat participants differently based on their knowledge of the treatment, which could also affect the results.

"

Complete question

________ refers to nondisclosure of the treatment an experimental unit is receiving.

"

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Answer:

x-intercept = 2

y-intercept = 6

Step-by-step explanation:

x-intercept:  6x = 12;  x = 2

y-intercept:  2y = 12;  y = 6

Answer:

Is an Odd Number

Answer:

D

Step-by-step explanation:

they're both 1/2 and the denominators are bigger than the numerators.

Answer:

12 Top Hats.

Step-by-step explanation:

We can easily solve this problem by setting up a proportion.

Before we do this, we should first gather the information we know. We know that there were 22 hats provided in total (14 + 8 = 22), and out of those 22 there were 8 that were top hats.

Next, we know that out of the next 33 hats in total, there are an unknown number of top hats. So, we should mark the top hats as the variable x, since it is unknown.

Finally, we can setup the proportion: it would be 8 (original number of top hats) over 22 (total number of top hats) is equal to x (unknown number of new top hats) over 33 (total number of new hats). So, 8/22 = x/33, after cross multiplying, we get 22x = 264, from simplifying (by dividing 264 by 22), we receive x = 12.

So, x = 12. 12 is the number of top hats we should expect.

The vertex is (-1, -6) and the axis of symmetry is -1. The function is minimum. The solution has been obtained by using equation of parabola.

What is a parabola?

Any point on a parabola is equally separated from both the focus, or predetermined point, and the fixed straight line (known as the directrix).

We are given f(x) = 2(x + 1)² - 6

We know that a parabola of equation a(x - h)² + k always has its vertex at (h, k) with axis of symmetry at x = h.

So, the vertex here is (-1, -6) and the axis of symmetry is x = -1.

It is a minimum function because there is a positive value before (x - h)².

Hence, the vertex is (-1, -6) and the axis of symmetry is -1 and the function is minimum.

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Given -

Amount Arianna invests = $5800

Annual interest = 5% compounded quarterly

To Find -

The value of her investment after 4 years =?

Step-by-Step Explanation -

We know the formula to calculate Investment Value =

Where,

A = Accumulated Value

P = Principal Amount = $5800

r = Rate of interest = 5% = 5/100 = 0.05

m = Number of times compoudeded = quarterly = 4

t = years = 4 Years

Now, putting all these values in the above formula, we get:

Final Answer -

The value of her investment after 4 years = $7075 and 36 cents

Answer:

45

Step-by-step explanation:

you can use m a th w ay to help you

Answer:

The slope is 15

Step-by-step explanation:

Points on the graph: (2, 30) and (4, 60)

Slope:

m = (y2-y1)/(x2-x1)

m=(60-30)/(4-2)

m=(30)/2

m= 15

Answer:

[-13, ∞]

Hope this helps! If not, feel free to comment below and I'll see what else I can do to help. Thanks and good luck!

Thus,  x ≥ -13 in interval notation is [-13, + ∞)

To write the inequality x ≥ -13 in interval notation, we need to find the range of values of x which satisfy the inequality.

Given that x ≥ -13, we see that x is valid for values of x greater than or equal to - 13. This means that -13 is less than or equal to x. That is -13 ≤ x.

We see from this that x is bounded on the left at x = -13 but not bounded on the right since it tends to infinity.

So, the range of values of x are -13 ≤ x < + ∞

Since it is closed on the left, we use a square bracket '[' to represent this boundary and since it is open on the right, we use a bracket ')' to represent this boundary.

So, -13 ≤ x < + ∞ = [-13, + ∞)

So, x ≥ -13 in interval notation is [-13, + ∞)

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The equations can be framed as:

For Novelists

3 x 5 = 15

and, For Artists:

3 x 3 = 9 artists

A key part to understanding ratios is that it isn't part over whole. Ratios say that there are 5 novelists Per 3 poets.

This can be rephrased to say that there are 5 novelists per 8 TOTAL people.

From here, we can use fractions:

5/8 = x/24

where x is the number of novelists

Now,

Multiplying the left side by 3/3 yields 15/24

Therefore,

there are 15 novelists at the workshop.

We can use the same method for the poets :

3/8 = y/24

= 9/24

Complete Question:

A writing workshop enrolls novelists and poets in a ratio of 5:3.  There are 24 people at the workshop.  How many novelists are there?  How many poets are there?  Write a system of equations to model each situation.  Solve by any method.

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Asymptotic distribution of x(n-x)/n(n-1) is 0.

Let's discuss it further below.

To find the asymptotic distribution of x(n-x)/n(n-1), we will follow these steps:

1. Rewrite the expression as a ratio of two variables: X = x/n and Y = (n-x)/n.
2. Rewrite the expression in terms of X and Y: Z = X * Y / ((X + Y) * (X + Y - 1)).
3. Find the limit of Z as n approaches infinity, which represents the asymptotic distribution.

Let's proceed with these steps:

1. Rewrite the expression as a ratio of two variables:
  X = x/n and Y = (n-x)/n

2. Rewrite the expression in terms of X and Y:
  Z = X * Y / ((X + Y) * (X + Y - 1))

3. Find the limit of Z as n approaches infinity:
  Since X = x/n and Y = (n-x)/n, as n approaches infinity, both X and Y will approach 0. Therefore, the limit of Z as n approaches infinity is 0.

In conclusion, the asymptotic distribution of x(n-x)/n(n-1) is 0.

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