Solve for x in the two equations below using substitution
12x-6y=60
24x+6y=300

In order to solve the system of equations, let's equate both values of y and solve for x using the quadratic formula:

Now, let's calculate the values of y for each value of x:

Therefore the solutions are (1, 7) and (5/2, 10).

Correct option: second one.

Answer:

Hello there are only 2 real solutions where x_1 = 11, x_2 = 7, x_3 = 3 and x_1 = 4, x_2 = 7, x_3 = 10

Step-by-step explanation:

Lets begin with arithmetic progression we know that we need some d which we will add to our x_1 to get x_2, so let's write it : x + (x+d) +(x+2d) = 21 and x*(x+d)*(x+2d) = 231 and that should be it.

Answer:

4

Step-by-step explanation:

y = mx + b

y = (x , y)

m = slope

x = (x , y)

b = y-intercept

In this case, check what number replaces the variable for slope, m:

y = mx + b

y = 4x + 5

In this case:

y = y

m = 4

x = x

b = 5

Therefore, 4 is your answer.

~

Hii!

___________________________________________________________

Answer:

Below is all the information you need! ^^

Step-by-step explanation:

Note that the equation that is given to us is in slope intercept form.

The slope intercept formula is y=mx+c, in which.

m=slope

c=y intercept

In the equation y=mx+c, the slope is m.

Similarly, in the equation y=4x+5, the slope is 4.

--

Hope that this helped! Best wishes.

--

Significant differences are NOT the result of chance but rather some systematic impact.

Significant difference means that the difference between two results is due to some systematic influence rather than chance. In this case, the difference between the two results is not due to randomness, but instead, due to an influence that is causing the difference between the two results. This influence could be a factor such as someone's age, gender, lifestyle, or other circumstances. In any case, the difference between the two results is not due to chance, but instead, due to a systematic influence. This is why it is important to consider the potential influences when conducting research, as these influences can impact the results of the study and should be taken into account when making conclusions.

Learn more about Significant differences here

https://brainly.com/question/29621890

#SPJ4

Answer:

4t+5

Step-by-step explanation:

Answer:

Quadrant 4

Step-by-step explanation:

Answer:

66.66666667%

Step-by-step explanation:

Answer:

The probability of getting a sample with 80% satisfied customers or less is 0.0125.

Step-by-step explanation:

We are given that the results of 1000 simulations, each simulating a sample of 80 customers, assuming there are 90 percent satisfied customers.

Let \(\hat p\) = sample proportion of satisfied customers

The z-score probability distribution for the sample proportion is given by;

                                Z  =  \(\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }\)  ~ N(0,1)

where, p = population proportion of satisfied customers = 90%

            n = sample of customers = 80

Now, the probability of getting a sample with 80% satisfied customers or less is given by = P( \(\hat p \leq\) 80%)

  P( \(\hat p \leq\) 80%) = P( \(\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }\) \(\leq\) \(\frac{0.80-0.90}{\sqrt{\frac{0.80(1-0.80)}{80} } }\) ) = P(Z \(\leq\) -2.24) = 1 - P(Z < 2.24)

                                                                  = 1 - 0.9875 = 0.0125

The above probability is calculated by looking at the value of x = 2.24 in the z table which has an area of 0.9875.

Answer:

Step-by-step explanation:

To find the percent of Container A that is full after pumping water into Container B, we need to compare the volumes of the two containers. Container A Percent is 108.0%.

The volume of a cylinder is given by the formula V = πr²h, where r is the radius and h is the height.

For Container A:

Radius (r₁) = 6 feet

Height (h₁) = 9 feet

Volume (V₁) = π(6²)(9) = 324π cubic feet

For Container B:

Radius (r₂) = 5 feet

Height (h₂) = 12 feet

Volume (V₂) = π(5²)(12) = 300π cubic feet

Since the water from Container A is pumped into Container B until it is completely full, the volume of water transferred is V₁.

To calculate the percent of Container A that is full after pumping, we can use the following formula:

Percent Full = (V₁ / V₂) * 100

Substituting the values, we get:

Percent Full = (324π / 300π) * 100

Percent Full ≈ 108%

Rounded to the nearest tenth, the percent of Container A that is full after the pumping is complete is approximately 108.0%.

For more question Container

https://brainly.com/question/27546626

#SPJ8

Answer:

0.706 m/s/s

Step-by-step explanation:

Because acceleration equals velocity over time

Answer:

As Per Provided Information

Let's convert the unit of time

t = 1.25 × 60 s

t = 75 s

We have been asked to determine the acceleration of the train .

Using Formulae

\( \boxed{\bf \: a = \bigg(\dfrac{v - u}{t} \bigg)}\)

Substituting the value we obtain

\( \sf \longrightarrow \: a \: = \dfrac{0 - 60}{75} \\ \\ \\ \sf \longrightarrow \: a \: = \cfrac{ - 60}{75} \\ \\ \\ \sf \longrightarrow \: a \: = \cancel\cfrac{ - 60}{75} \\ \\ \\ \sf \longrightarrow \: a \: = - 0.8 {ms}^{ - 2} \)

Here, negative sign show deceleration .

Therefore,

Answer:

196.67

Step-by-step explanation:

14.2 x 13.85

which equals 196.67.

PLS MARK AS BRAINLIEST, FIVE STARS, AND THANKS.

The dial for the standard combination lock is fastened to a spindle. The spindle travels through many wheels and a drive cam inside the lock. Every number has one wheel, hence the number of wheels in a wheel pack depends on how many numbers are in the combination.

The lock uses the numbers 0 to 39 and has 64,000 distinct combinations.

How many possible three-number combinations are there?

You have 10 options for the first digit, 9 options for the second digit, and 8 options for the third digit, giving you 10x9x8 = 720 if you want all three possible numbers with no duplication of the digits.

To learn more about Three-number combination refer to:

https://brainly.com/question/27242731

#SPJ4

Answer:

Both the claims are incorrect.

Step-by-step explanation:

Angle of symmetry by for for the regular hexagon is a line which divides the polygon in two parts which can overlap itself.

In the figure attached,

Line of symmetry for the regular hexagon are the lines joining opposite vertices and perpendicular lines on the opposite sides of the polygon through point O. (Example: lines BE and y-axis)

Therefore, claim that only lines of symmetry for the regular hexagon are the lines that contain one vertex and point O, is incorrect.

Angle of rotation by which can overlap point C to B will be

= \(\frac{\text{360}}{\text{Number of sides of the polygon}}\)

= \(\frac{360}{6}\)

= 60°

Therefore, only angle of rotation that shows rotational symmetry is 120°, is incorrect.

The first claim of Justine is incorrect and the second claim of Justine is correct and this can be determined by the definition of line of symmetry and by finding the angle of rotation.

Given :

A regular hexagon ABCDEF with center at O.

For a regular hexagon ABCDEF, lines of symmetry are the lines that join the opposite vertices and perpendicular lines on the opposite sides of the polygon through point O.

Therefore, the first claim "The only lines of symmetry for regular hexagon ABCDEF are the lines that contain one vertex and O" is incorrect.

The angle of rotation is given by:

\(\rm = \dfrac{360^\circ}{Number \; of \; sides}\)

\(\rm = \dfrac{360}{6}\)

= \(60^\circ\)

Therefore, the second claim of Justine is, "The only angle of rotation that shows rotational symmetry is 120°" is correct.

For more information, refer to the link given below:

https://brainly.com/question/2463451  

Answer:

$5.50

Step-by-step explanation:

Answer:

$5.50

Step-by-step explanation:

Hope this helps!

Answer:

False

Step-by-step explanation:

You can transform a function many times

:)

Answer:

A = 2 1/2 ft^2

Step-by-step explanation:

The area of a rectangle is given by

A = l*w

A = 3 * 5/6

A = 5/2 ft^2

A = 2 1/2 ft^2

Answer:

A=2.5 ft^2

Step-by-step explanation:

A=3

A=3(5/6)

A=2.5 ft^2

In the object-oriented programming paradigm, a class invariant is a property that must always be true for any instance of a class. It is a condition or a set of conditions that must be maintained by all member functions for the proper functioning of a class.

A class invariant, therefore, is a formal statement of the rules that dictate how the member variables of a class are used. All member functions (with the exception of constructors) can depend on the invariant being valid when the function is called. Each function is also responsible for ensuring that the invariant is valid when the function finishes.

The invariant represents an important constraint that must be maintained in a class. As a result, a well-defined class invariant is important for the stability and reliability of the class.

The class invariant may be a single condition or a set of conditions that need to be maintained for the class to operate correctly. These conditions may be explicitly stated in the class documentation or in the form of assert statements in the class implementation. The invariant may be as simple as a range constraint or as complex as a logical relationship between multiple variables.

In any case, the invariant must be maintained by all the member functions of the class. the invariant of a class is a set of rules that govern how the member variables of a class are used. It is a condition that must always be true for any instance of a class. The invariant is important for the stability and reliability of a class, and each member function is responsible for ensuring that the invariant is valid when the function finishes.

To know more about documentation visit:

brainly.com/question/33075157

#SPJ11

Answer:

a = 21

Step-by-step explanation:

Based on the information given, we can calculate that

WZ x 3 = a

so...

7 x 3 = 21

Hope that helped!! :)

Answer:

I think it is 21 since the relationship between 4 and 12 4 * 3 is equal to 12 so I did the same for each side but angles don't change so 7*3=21

Answer:

Step-by-step explanation:

Because of the Isosceles Triangle Theorem, the angles across from the congruent sides will be congruent. That means that the angle x also measures 42 degrees.

The H.C.F of the polynomials x⁸ - y⁸, (x⁴ - y⁴)(x + y) is (x - y)(x + y)

The H.C.F - Highest Common Factor of two or more numbers is the highest of their common factors.

Given the polynomials x⁸ - y⁸, (x⁴ - y⁴)(x + y). To find their highest common factors, we proceed as follows.

Now, the polynomial x⁸ - y⁸ = (x⁴)² - (y⁴)²

= (x⁴ - y⁴)(x⁴ + y⁴) difference of two squares.

Also,

(x⁴ - y⁴) = (x²)² - (y²)²

= (x² - y²)(x² + y²) difference of two squares.

= (x² - y²)(x² + y²)

So,

x⁸ - y⁸ = (x⁴ - y⁴)(x⁴ + y⁴)

= (x² - y²)(x² + y²)(x⁴ + y⁴)

Also,  (x² - y²) = (x - y)(x + y)

So, substituting this into the quation, we have that

x⁸ - y⁸ =  (x² - y²)(x² + y²)(x⁴ + y⁴)

=   (x - y)(x + y)(x² + y²)(x⁴ + y⁴)

Now, the polynomial

(x⁴ - y⁴)(x + y) =  (x² - y²)(x² + y²)(x + y)

= (x - y)(x + y)(x² + y²)(x + y)

So, comparing the factors of x⁸ - y⁸ and (x⁴ - y⁴)(x + y), the H.C.F is (x - y)(x + y)

So, the H.C.F is (x - y)(x + y)

Learn more about H.C.F of polynomials here:

https://brainly.com/question/30196598

#SPJ1

Answer:iuygafsg78t arsy9u E)AFI_0=W]O-W[IOUPDIOYfguvydagai8sw09dQI

Step-by-step explanation:

when a person's test performance can be compared with that of a representative and pretested sample of people, the test is said to be norm-referenced.

Norm-referenced tests are assessments that measure an individual's performance against a predetermined group, or norm. A norm-referenced test is designed to evaluate how a person performs in comparison to a representative and pretested sample of people. This type of testing is especially common with achievement tests, such as the SAT or IQ tests, where the scores are meant to represent how the individual compares to others of the same age or in the same educational setting. The results of norm-referenced tests can be used to rank individuals according to their performance on the test, allowing for an easy comparison between individuals. Norm-referenced tests are designed to provide a comprehensive view of an individual’s strengths and weaknesses in comparison to a predetermined group.

Learn more about sample here

https://brainly.com/question/25894237

#SPJ4

Answer: A function is a relation between domain and range such that each value in the domain corresponds to only one value in the range. Relations that are not functions violate this definition. They feature at least one value in the domain that corresponds to two or more values in the range.

Step-by-step explanation:

Write the coefficients of the x-terms as the numbers down the first column.

Write the coefficients of the y-terms as the numbers down the second column.

If there are z-terms, write the coefficients as the numbers down the third column.

Draw a vertical line and write the constants to the right of the line.    

Answer:

C. Multiplied

Step-by-step explanation:

A coefficient is a quantity placed before a variable to indicate how many times it has been multiplied.

The value of the 10% trimmed mean is approximately 1.3027. To calculate the 10% trimmed mean, we need to trim off the lowest and highest 10% of the data and then find the mean of the remaining values.

First, let's sort the data in ascending order:

0.2, 0.21, 0.26, 0.3, 0.33, 0.41, 0.54, 0.57, 1.41, 1.7, 1.84, 2.2, 2.26, 3.06, 3.24

Next, we calculate the number of values to trim from each end:

10% of 15 (total number of values) = 0.1 * 15 = 1.5

Since we can't remove half a value, we round up to the nearest whole number, which is 2.

Now, we remove the two lowest and two highest values:

0.26, 0.3, 0.33, 0.41, 0.54, 0.57, 1.41, 1.7, 1.84, 2.2, 2.26

Finally, we calculate the mean of the remaining values:

(0.26 + 0.3 + 0.33 + 0.41 + 0.54 + 0.57 + 1.41 + 1.7 + 1.84 + 2.2 + 2.26) / 11 = 14.33 / 11 ≈ 1.3027

Rounding to four decimal places, the value of the 10% trimmed mean is approximately 1.3027.

To know more about statistics refer here;

https://brainly.com/question/32201536?#

#SPJ11

The equation for the transformed logarithm that passes through the points (3,0) and (0,2) can be written as f(x) = -b * log(base a)(x - h) + k, where a, b, h, and k are constants to be determined.

To find the equation for the transformed logarithm, we need to use the given points (3,0) and (0,2) to determine the values of a, b, h, and k. Let's start with the point (3,0). Plugging the x-coordinate (3) into the equation, we have:

0 = -b * log(base a)(3 - h) + k

Next, we'll use the point (0,2) to obtain another equation. Plugging the x-coordinate (0) into the equation, we get:

2 = -b * log(base a)(0 - h) + k

Simplifying these equations, we have a system of equations to solve for a, b, h, and k. However, since the equation involves a logarithm, we need more information to determine the specific values of a, b, h, and k.The transformed logarithm function includes transformations such as vertical stretches/compressions (b), horizontal shifts (h), and vertical shifts (k). Without more specific information about these transformations or the base of the logarithm, it is not possible to determine the equation uniquely.

In general, the equation for a transformed logarithm can be written as f(x) = -b * log(base a)(x - h) + k, where a, b, h, and k are constants determined by the specific transformations applied to the logarithm function. It's important to have additional information or instructions to determine the values of a, b, h, and k and provide an equation that accurately represents the given transformed logarithm.

Learn more about logarithms here:- brainly.com/question/30226560

#SPJ11

Answer:

$13.45

Step-by-step explanation:

add all of the money:

2.35+1.65=4

2+3=5

2.45+2=4.45

add 4, 5, and 4.45 together

13.45

Which is $13.45