Is American Dream for Everyone? Explain.

The elimination method is valid for the system of equation because the y term cancels.

The system of equation can be solved using elimination methods.

Therefore,

x - 2y = 3

3x + 2y = 17

Hence,

x + 3x  = 4x

-2y + 2y = 0

3 + 17 = 20

Therefore,

4x = 20

The y term cancels. Therefore, we can solve for x and later solve for y.

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Answer:

Adding a quantity like x – 2y to one side of an equation and another quantity like 3 to the other side maintains the equality if the two quantities are equal.

let's call that point C, thus we get the splits of AC and CB

\(\textit{internal division of a line segment using ratios} \\\\\\ A(0,0)\qquad B(6,9)\qquad \qquad \stackrel{\textit{ratio from A to B}}{2:1} \\\\\\ \cfrac{A\underline{C}}{\underline{C} B} = \cfrac{2}{1}\implies \cfrac{A}{B} = \cfrac{2}{1}\implies 1A=2B\implies 1(0,0)=2(6,9)\)

\((\stackrel{x}{0}~~,~~ \stackrel{y}{0})=(\stackrel{x}{12}~~,~~ \stackrel{y}{18}) \implies C=\underset{\textit{sum of the ratios}}{\left( \cfrac{\stackrel{\textit{sum of x's}}{0 +12}}{2+1}~~,~~\cfrac{\stackrel{\textit{sum of y's}}{0 +18}}{2+1} \right)} \\\\\\ C=\left( \cfrac{ 12 }{ 3 }~~,~~\cfrac{ 18}{ 3 } \right)\implies C=(4~~,~~6)\)

Answer:

8°

Step-by-step explanation:

For exterior angle QRS, angles RPQ and PQR are its remote interior angles.

m<QRS = m<RPQ + m<PQR

4x - 15 = x + 1 + x - 2

2x = 14

x = 7

m<RPQ = x + 1 = 7 + 1 = 8

Answer:

w = 5

Step by step explanation:

5 + 3 (w) = 20

first do 3 times what = 15

now its 5 + 15 = 20

so w = 5

Answer:1212321312Step-by-step explanation:

2131313

The numerical expressions represent the final depth of the diver will be the negative 200 + 12 1/3 (4.5). Then the correct option is C.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

A diver begins at sea level and dives down 200 feet.

He ascends at a steady rate of 12 1/3 for 4.5 minutes.

Then the numerical expressions represents the final depth of the diver will be

Let the negative sign for the downward and the positive sign for upward.

Then we have

⇒ - 200 + 12 1/3 (4.5)

Then the correct option is C.

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By manipulating algebra, we can prove that for three input variables x1, x2, and x3, m(1,2,3,4,5,6,7) = x1 x2 x3.

Given that there are three input variables x1, x2, and x3, we need to determine the value of m(1,2,3,4,5,6,7). Here, m stands for multiplication of the given numbers. Let's start by multiplying the first three terms m1 = x1 x2 x3. Next, we will take the last two terms m6 and m7. To find these two terms, we will use the distributive property to factor out the common terms x1, x2, and x3 from the terms m4 and m5.m6 = x1 x2 (x1 + x3)

m7 = x1 x3 (x2 + x3)

Now, we will take the fourth and fifth terms m4 and m5 and replace them with the value of m6 and m7, respectively.

m4 = x1 (x2 + x3) x2 x3

= x1 x2 (x1 + x3)

m5 = x1 x2 x3 (x2 + x3) = x1 x3 (x2 + x3) x2

Finally, we will replace the fourth and fifth terms in the expression of m1 as follows: m1 = x1 x2 x3

Hence, we have shown that for three input variables x1, x2, and x3, m(1,2,3,4,5,6,7) = x1 x2 x3.

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The POINT of a hyperbola is one of two points such that the difference of the distances from any point on the hyperbola to the foci is a constant.

Hence, The POINT of a hyperbola is one of two points such that the difference of the distances from any point on the hyperbola to the foci is a constant.

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The mean of the Poisson distribution is 0.1.

The mean of a Poisson distribution is given by µ, which is the expected number of occurrences in the specified interval. In this case, µ = 0.1, which means we expect to have 0.1 occurrences in the specified interval.

The mean can also be calculated by using the formula µ = ΣxP(x), where ΣxP(x) is the sum of the product of each value of x and its corresponding probability.

µ = (0 × 0.9048) + (1 × 0.0905) + (2 × 0.0045) + (3 × 0.0002)

µ = 0 + 0.0905 + 0.009 + 0.0006

µ = 0.1

Therefore, the mean of the Poisson distribution is 0.1.

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Answer:

slope = 0

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = G(3, - 2) and (x₂, y₂ ) = H(7, - 2)

m  \(\frac{-2+2}{7-3}\) = \(\frac{0}{4}\) = 0

The slope of the line that contains the points G(3, -2) and H(7, -2) named is zero.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The given two points of line are G(3, -2) and H(7, -2)

slope of the line is the ratio of the rise to the run, or rise divided by the run

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

m=-2-(-2)/7-3

m=0/4

=0

Hence the slope of the line that contains the points named is zero.

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Answer: y = 17x + 114

Step-by-step explanation:

The equation for the slope-intercept form is y = mx + b.

Arrange the equation so that it resembles y = mx + b.

You will do this by multiplying and subtracting so y is on the left side of the equation and mx + b is on the right side of the equation.

y + 5 = 17(x + 7)

y + 5 = 17x + 119

y + 5 - 5 = 17x + 119 - 5

y = 17x + 114

Answer:

Y = 17x + 114

Step-by-step explanation:

1. Y + 5 = 17 (x+7)

2. Y + 5 = 17x + 119   [Multiply the numbers in parenthesis by 17.]

3. Y = 17x + 114.     [To keep the balance and move the 5 over, subtract it from 119.]

An eigenvalue of a matrix is a scalar value that satisfies the equation ax = λx for some vector x. If a is an n × n matrix, then if ax = λx for some vector x, λ is an eigenvalue of a

An eigenvalue of a matrix is a scalar value that satisfies the equation ax = λx for some vector x. If a matrix a is an n × n matrix, then the equation ax = λx can be used to find the eigenvalues associated with the matrix. By taking the equation ax = λx and rearranging it, we can isolate the eigenvalue λ on the left side of the equation, leaving the vector x on the right side. λ is then the eigenvalue of the matrix a. For example, if we have a 2 x 2 matrix a, and we have an equation of the form ax = λx, where x is a 2-dimensional vector, then by rearranging the equation we can find the eigenvalue λ associated with the matrix a. In summary, if a is an n × n matrix and ax = λx for some vector x, then λ is an eigenvalue of a.

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The weighted average of the given coordinates weights is; 3

We are given that;

Coordinate of -5 has a weight of 3

Coordinate of 3 has a weight of 1

Now, we are given the formula to calculate the weighted average as;

WA = Sum of the Weighted Values/Sum of the Weights

Thus;

WA = ((-5 * 3) + (3 * 1))/(3 + 1)

WA = (-15 + 3)/4

WA = -12/4

WA = -3

We will take the absolute value which is; WA = 3

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The class boundaries for the first class interval are:Lower limit = 32Upper limit = 34Class width = 3Boundaries = 32 - 1.5 = 30.5 and 34 + 1.5 = 35.5. The boundaries for the remaining class intervals can be determined in a similar manner. Therefore, the class boundaries are given below:Temperature (°F)FrequencyClass boundaries32-34130.5-35.535-3735-38.540-4134.5-44.544-4638.5-47.547-4944.5-52.550-5264.5-79.5

The frequency distribution table is given below:Temperature (°F)Frequency32-34135-3738-4041-4344-4647-4950-521The frequency distribution gives a range of values for the temperature in Fahrenheit. In order to answer the questions (a), (b) and (c), the class width, class midpoints, and class boundaries need to be determined.(a) Class WidthThe class width can be determined by subtracting the lower limit of the first class interval from the lower limit of the second class interval. The lower limit of the first class interval is 32, and the lower limit of the second class interval is 35.32 - 35 = -3Therefore, the class width is 3. The answer is 3.(b) Class MidpointsThe class midpoint can be determined by finding the average of the upper and lower limits of the class interval. The class intervals are given in the frequency distribution table. The midpoint of the first class interval is:Lower limit = 32Upper limit = 34Midpoint = (32 + 34) / 2 = 33The midpoint of the second class interval is:Lower limit = 35Upper limit = 37Midpoint = (35 + 37) / 2 = 36. The midpoint of the remaining class intervals can be determined in a similar manner. Therefore, the class midpoints are given below:Temperature (°F)FrequencyMidpoint32-34133.535-37361.537-40393.541-4242.544-4645.547-4951.550-5276(c) Class BoundariesThe class boundaries can be determined by adding and subtracting half of the class width to the lower and upper limits of each class interval. The class width is 3, as determined above. Therefore, the class boundaries for the first class interval are:Lower limit = 32Upper limit = 34Class width = 3Boundaries = 32 - 1.5 = 30.5 and 34 + 1.5 = 35.5. The boundaries for the remaining class intervals can be determined in a similar manner. Therefore, the class boundaries are given below:Temperature (°F)FrequencyClass boundaries32-34130.5-35.535-3735-38.540-4134.5-44.544-4638.5-47.547-4944.5-52.550-5264.5-79.5.

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Answer: \(f(-735) = -\frac{2}{3}(-735) + 490 = 980\)

Step-by-step explanation:

\(f(x) = -\frac{2}{3} x + 490 =0\)  Subtract 490 from both sides

        \(\frac{3}{2}* -\frac{2}{3} x = -490 *\frac{3}{2}\)   Then flip \(-\frac{2}{3}\) multiply both sides by \(\frac{3}{2}\) to cancel out \(-\frac{2}{3}\)

      \(x= -735\)  Thus giving you -735 as your \(x\).

Then you plug it back into the equation to solve.  

Answer:

B. Right

C. Scalene

Step-by-step explanation:

The square shows that it's right angled

and the sides are different.

Hello!

So, we are given the following to solve:

\(-m=9\)

To solve this, simply divide both sides by -1.

\(\frac{-m}{-1}= \frac{9}{-1}\)

Then, simplify the expression and you have your solution.

\(m=-9\)

Hope this helps! If so, please lmk! Thanks and good luck!

Answer:

m= -9

Step-by-step explanation:

Divide both sides by -1

\(\frac{-m}{-1} =\frac{9}{-1}\)

Simplify m = - 9

Answer:

x=5 I think I'm not sure though please correct me if I'm wrong

Step-by-step explanation:

Hope it helps :)

Brainliest pls?

Have a good day/night

Answer:

x=5

Step-by-step explanation:

The probability will be b) 4/(52 13)

In a standard deck, there are four suits (hearts, diamonds, clubs, and spades), each containing 13 cards. To find the probability of obtaining a bridge hand with all 13 cards of the same suit, we need to determine the number of favorable outcomes (hands with all 13 cards of the same suit) and divide it by the total number of possible outcomes (all possible bridge hands).

Calculate the number of favorable outcomes

There are four suits, so for each suit, we can choose 13 cards out of 13 in that suit. Therefore, there is only one favorable outcome for each suit.

Calculate the total number of possible outcomes

To determine the total number of possible bridge hands, we need to calculate the number of ways to choose 13 cards out of 52. This can be represented as "52 choose 13" or (52 13) using the combination formula.

Calculate the probability

The probability is given by the ratio of the number of favorable outcomes to the total number of possible outcomes. Since there is one favorable outcome for each suit and a total of 4 suits, the probability is 4 divided by the total number of possible outcomes.

Therefore, the probability that a bridge hand will contain all 13 cards of the same suit is 4/(52 13).

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Answer:

4,785.3

Step-by-step explanation:

531.7 x 9

= 4,785.3

Answer: Terry paid  $18.36 for the sweater.

Step-by-step explanation:

Given: Sales price of sweater = $24

Coupon states \(\dfrac14\) off the sales, i.e. Terry will get \(\dfrac14\times24=\$6\) discount.

Also, tax rate = 6%

Tax will be charged = 6% of Sales price of sweater

=  0.06 x 6

= $0.36

Now , Final amount for Terry = Sales price - discount +tax

= $(24-6+0.36)= $18.36

Hence, Terry paid  $18.36 for the sweater.

Answer:

Step-by-step explanation:

AD = DC and BE=EC ⇒

DE = 1/2AB

DE = 4*9 + 1 = 36 + 1 = 37

AD = DC

BE = EC

It gives that 2(DE) = AB

The length of DE.

According to the question,

2(DE) = AB

By putting the respected values, we get

2( 4x + 1 ) = 11x - 25

or, 8x + 2 = 11x - 25

or, 25 + 2 = 11x - 8x ( transposition method )

or, 27 = 3x

or, x = 27/3 = 9

The value of x is 9.

DE = 4(9) + 1 = 36 + 1 = 37

DE = 37

Answer:

1 unit

Step-by-step explanation:

divide by pi (3.14) to get the diameter of a circle

Answer:

y= 3x - 5

Step-by-step explanation:

coordinates given: (4,7) & (1, -2)

to find m (slope) = rise/run = (y2-y1) /(x2-x1)

= ( -2-7) / (1 - 4)

= -9/-3

= 3

therefore, y=3x + b

to find b:

taken coordinate: (4,7)

y=3x + b

7=3 (4) + b

7= 12 + b

7-12 = b

-5 = b

(*the value of b will be same even if we take the other coordinate)

therefore, y = 3x -5

Therefore, the probability of getting exactly 4 calls between 8:00 AM and 9:00 AM is approximately 0.1755, rounded to four decimal places.

To calculate the probability of getting exactly 4 calls between 8:00 AM and 9:00 AM, we need to use the Poisson distribution formula. The Poisson distribution is commonly used to model the number of events occurring in a fixed interval of time or space. In this case, the mean (λ) is given as 5. The formula for the Poisson distribution is:

P(X = k) = (e*(-λ) * λ\(^k\)) / k!

Where:

P(X = k) is the probability of getting exactly k calls

e is the base of the natural logarithm (approximately 2.71828)

λ is the mean number of calls (given as 5)

k is the number of calls (in this case, 4)

k! is the factorial of k

Let's calculate the probability using the formula:

P(X = 4) = (e*(-5) * 5⁴) / 4!

P(X = 4) ≈ 0.1755

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Answer:

5%

Step-by-step explanation:

Percent error = (actual - estimated) / actual x 100

(240 - 228) / 240 x 100 = 5%

Answer:

True

Step-by-step explanation:

This is true if you look at the hundredths value. 7 is greater than 5, therefore 19.67 is greater than 19.657. To simplify it, you can look at it as 19.67 > 19.65 (say we omit the 7).

Answer:

It's B.

Step-by-step explanation:

The width of the opening is 2x, which equals 2(4√2) = 8√2 feet. To solve this problem, we'll use the properties of a paraboloid of revolution.

Given that the light source is located 2 feet from the base along the axis of symmetry and the depth of the searchlight is 4 feet, we have the vertex of the parabola at (0, 2). We also know the focus of the parabola is at the light source, which is at (0, 0).
Since the parabola opens downward, its equation is of the form (x - h)² = -4p(y - k), where (h, k) is the vertex and p is the distance between the vertex and the focus.
In our case, h = 0, k = 2, and p = 2. So the equation becomes x² = -4(2)(y - 2) or x² = -8(y - 2).
At the opening, the paraboloid is 4 feet deep, so y = -2. Substituting this value into the equation, we get:
x² = -8(-2 - 2) => x² = 32
Now, we find the width by solving for x:
x = ±√32 => x = ±4√2

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The width of the opening of the searchlight is 2√32 feet.

To find the width of the opening of the searchlight, we'll first determine the equation of the parabola and then use that to find the width.
Identify the vertex and focus:

The vertex is at the base of the searchlight (0, 0) and the focus is 2 feet from the base along the axis of symmetry,

so it's located at (0, 2).
Determine the equation of the parabola:

Since the parabola opens upward, its equation will be in the form \((x-h)^2 = 4p(y-k),\)

where (h, k) is the vertex and p is the distance from the vertex to the focus.

In this case, h = 0, k = 0, and p = 2,

so the equation is \(x^2 = 4(2)(y) or x^2 = 8y.\)
Find the width at the depth:

Since the depth of the searchlight is 4 feet, we'll find the width at y = 4. Substitute y = 4 in the equation:

\(x^2 = 8(4)\), which gives \(x^2 = 32\).

To find the width, we need the distance between the two points where x is positive and negative, so x = ±√32.
Calculate the width of the opening:

The width of the opening is the difference between the positive and negative values of x, which is 2√32.

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Answer:

D

Step-by-step explanation:

the best answer may be D because 9/3 =3 3×5=15