Determine whether the system of equation has one solution no solution or infinite solutions

y=2x + 10
Зу- 6x=30

The value of function f (4) is,

⇒ f (4) = 19

We have to given that;

The function is,

⇒ f (x) = x² + 3

Now, WE can find the value of f (4) by substitute x = 4 in above function as,

⇒ f (x) = x² + 3

Plug x = 4;

⇒ f (4) = 4² + 3

⇒ f (4) = 16 + 3

⇒ f (4) = 19

Thus, The value of function f (4) is,

⇒ f (4) = 19

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The mean from a Histogram, table, and dot plot, it is not possible to determine the mean directly from a stem-and-leaf plot.

Out of the given options, the display of data for which it is not possible to find the mean is the stem-and-leaf plot.

A histogram displays data in the form of bars, where the height of each bar represents the frequency of data within a specific range. From a histogram, it is possible to calculate the mean by summing up the products of each value with its corresponding frequency and dividing it by the total number of data points.

A table presents data in a structured format, typically with rows and columns, allowing for easy calculation of the mean. By adding up all the values and dividing by the total number of values, the mean can be obtained from a table.

A stem-and-leaf plot organizes data by splitting each value into a stem (the first digit or digits) and a leaf (the last digit). While a stem-and-leaf plot provides a visual representation of the data, it does not directly provide the frequency or count of each value. Hence, it is not possible to determine the mean directly from a stem-and-leaf plot without additional information.

A dot plot represents data using dots along a number line, with each dot representing an occurrence of a value. Similar to a histogram and table, a dot plot allows for the calculation of the mean by summing up the values and dividing by the total number of data points.

In summary, while it is possible to find the mean from a histogram, table, and dot plot, it is not possible to determine the mean directly from a stem-and-leaf plot.

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The number 2/5 is both a ratio and a fraction.

The number 2/5 is both a ratio and a fraction. Fractions are meant to signify the numerator and denominator in an expression. in the above expression, we have the denominator as 5 and the numerator as 2.

The expression is also a ratio because it indicates the quantitative relationship between the figures.

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Monthly income and expenditure of Ganesh will be-16680

Let Ganesh's monthly income be x

The problem can be solved using linear equation

The amount of 60% of his salary is spent which can be written as 60% of x or 0.6x

The amount of money saved by Ganesh = total salary - amount spent

                                                                     = x - 0.6x

                                                                     = 0.4x

The amount of savings made by Ganesh  as per the question = 11120

Lets equate both the equation

                          0.4x = 11120

                               x = (11120 × 100)/ 40

                              x = 27800

Hence, Ganesh's monthly salary comes out to be 27800

Ganesh's monthly expenditure = 0.6 x= 0.6 × 27800 =16680

What is a linear equation in math?

A linear equation only has one or two variables. No variable in a linear equation is raised to a power greater than 1 or used as the denominator of a fraction. When you find pairs of values that make a linear equation true and plot those pairs on a coordinate grid, all of the points lie on the same line

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Answer:

Quinn can expect to pick blue 40 times

Step-by-step explanation:

the probability of picking blue is stated as 2/10 which can be reduced to 1/5

multiply the number of times they pick a marble ( shown as 200) by the probability of picking a blue one ( 1/5)

200 x 1/5 = 200 / 5 = 40

Quinn can expect to pick blue 40 times

Answer:40 blue marbles

Step-by-step explanation:

First find the probability of a blue marble

P (blue) = number of blue marbles / total marbles

            = 2 blue/ ( 5+3+2) total

             = 2/10

              =1/5

We can use this since we return the marble to the bag each time

We multiply this by 200 for the number of times it is picked

200 * 1/5 = 40

We should expect to pick 40 blue marbles

Answer: C. 6 inches high, 4 inches wide, and 10 inches long

Step-by-step explanation:

A scale model will have to use a scale factor that ensures that the actual measurements can be accurately converted to the scale model measurements in an equivalent manner.

This means that the real measurements need to be uniform when converted by the scale factor to the scale model. In other words, in this scenario for instance, when the scale measurements are divided by the real measurements, they should give the same scale factor.

Option C is correct because all the measurements give the same scale factor when divided as opposed to the rest.

Height = Scale/ Real = 6/3 = 2

Width = 4/2 = 2

Length = 10/5 = 2

They all use the scale factor of 1 feet: 2 inches so option C is correct.

The researcher's scientific/alternative hypothesis is:

The researcher's null hypothesis is:

The type of sample which the researcher is using is:

A disadvantage to using this sample type is:

The thing which the researcher can conclude about these data is:

If, in the population, women actually show NO difference in attentional control performance after drinking black tea versus coffee, the type of statistical error which the researcher has made is:

This refers to the difference between two variables which is discovered during a scientific research and is an observed pattern.

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Answer:

Step-by-step explanation:

3

x

2

+

4

x

+

19

−

f

(

x

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=

0

What's ur question? .-.

o nvm, this is edit. jus search it up on Google

Answer:

TWO CRACKERS

Step-by-step explanation:

I'm assuming they want to find x. Here we see that these two are similar triangles, so the sides are reflective. 5x/5 should be equal to 4/x, so 5x/5 = 4/x. If we use cross multiplying we get 5x^2 = 20. divide both sides by 5 and we get x^2 = 4 or x = 2.

Hope this helped

(a) The variables y and x are not directly proportional. (b) The constant of proportionality is 2/5.

The constant of proportionality is a value that relates two variables that are directly proportional to each other. Direct proportionality means that as one variable increases, the other variable also increases by a constant factor, and vice versa. The constant of proportionality is the factor by which the two variables are related.

For example, suppose we have a direct proportionality between the weight of an object and its mass. As the weight of the object increases, its mass also increases proportionally. The constant of proportionality in this case is the conversion factor between weight and mass, which is the gravitational acceleration constant, denoted by "g" and has a value of approximately 9.8 m/s² on Earth.

(a) The equation y = 2x - 5 does not show direct variation because the variables y and x are not directly proportional. There is a constant term of -5 which makes the equation non-linear.

(b) The equation 2/5x = y shows direct variation because the variables x and y are directly proportional. The constant of proportionality is 2/5, which can be found by solving for y: y = 2/5x.

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Answer:

slope=2

Step-by-step explanation:

y-y=m(4-3)

5-3=m(4-3)

2=m(1)

2/1=m

m=2

Answer:

\(-0.78 > -\dfrac{5}6 ~~ \text{or}~~-0.78> -0.8\overline 3\)

Step-by-step explanation:

Answer:

-0.78

Step-by-step explanation:

-0.78 and -0.83 With negative you always choose the smaller number because it is closer to 0 or the postive numbers. This makes me pretty sure it is -0.78 correct me if I am wrong.

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Answer:

33/8

Step-by-step explanation:

two negatives equal a positive so this is 5/8 + 7/2. next multiply 7/2 by 4/4 to get 28/8.  28+5=33 so the answer is 33/8

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes, hence it is the same as a relative frequency.

The total number of periods is given as follows:

5 + 6 + 4 = 15.

The frequency of each class is given as follows:

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The length of the circle is approximately 9.237 cm.

What are the diagonals of a rhombus?
A rhombus is a quadrilateral with all sides of equal length. It also has the following properties regarding its diagonals:

The diagonals bisect each other at 90 degrees.

The diagonals are perpendicular to each other.

The diagonals have the same length.

The diagonals divide the rhombus into four congruent triangles.

In a rhombus with a side of 8 cm and an angle of 60 degrees, the diagonals are equal in length.

The length of the diagonals can be found using the formula:

\($D_1 = \frac{2a}{\sqrt{3}}$\)

where a is the length of the side. Substituting the value of a as 8 cm, we get:

\($D_1 = \frac{2(8)}{\sqrt{3}} \approx 9.237 \text{ cm}$\)

The length of the circle inscribed in the rhombus is equal to the length of the diagonals.

Therefore, the length of the circle is approximately 9.237 cm.

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The quadrilateral you're describing is a Kite. A kite is a quadrilateral with two pairs of consecutive congruent sides, and its diagonals meet at a right angle.

Answer:

2000

Step-by-step explanation:

3x450=1350

1350+650=2000

=2000

Answer:

BODMAS

3 x 450 = 1350

1350 + 650 = 2000

The expressions are simplified to;

1. 72n² + 63n

2. 18t - 18t²

3. -18b² - 18b

4. -56r - 21r²

5. -6m + 9m²

Algebraic expressions are simply described as expressions that are known to consist of coefficients of variables, variables, constants, terms, and factors.

These algebraic expressions are also made up of mathematical or arithmetic operations.

These operations are;

From the information given, we have;

1. -9n (-8n -7)

expand the bracket

72n² + 63n

2. -2t(-9 + 9t)

expand the bracket

18t - 18t²

3. -3b(6b + 6)

expand the bracket

-18b² - 18b

4. -7r(8 + 3r)

expand the bracket

-56r - 21r²

5. 3m(-2 + 3m)

expand the bracket

-6m + 9m²

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On solving the provided question we can say that by herons formula, area of the triangle is, A = 2.828

A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.

the provided points are Triangle X(1, 6), Y(5, -2), Z(-5, -1)

by herons formula

A = \(\sqrt{s(s-a)(s-b)(s-c)}\)

s = a+b+c/3

s = 5+2+5+/3 =12/3 = 4

Area of the triangle is, A =

\(\sqrt{4(5-4)(4-2)(5-4)} \\A = \sqrt{4*1*2*1} \\A = \sqrt{8} \\A = 2\sqrt{2}\\ A = 2*1.414\\A = 2.828\)

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Answer:

2.828

Step-by-step explanation:

The selling price of the item at 10% marlkup is $55

From the question, we have the following parameters that can be used in our computation:

Using the above as a guide, we have the following:

Selling price = Cost To Store * (1 + Markup)

substitute the known values in the above equation, so, we have the following representation

Selling price = 50 * (1 + 10%)

Evaluate

Selling price = 55

Hence the selling price of the item is $55

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\({ \qquad\qquad\huge\underline{{\sf Answer}}} \)

As we know, exterior angle of a triangle is equal to sum of the two internal angles that are not in linear pair with it (or opposite to that angle)

So, by using this property :

\(\qquad \sf  \dashrightarrow \: 4x + 80 \degree = 2x\degree + 108\degree\)

\(\qquad \sf  \dashrightarrow \: 4x - 2x \degree = 108\degree - 80\degree\)

\(\qquad \sf  \dashrightarrow \: 2x \degree = 28\degree \)

\(\qquad \sf  \dashrightarrow \: x = (28 \div 2)\degree \)

\(\qquad \sf  \dashrightarrow \: x = 14\degree \)

Angle Q is equal to :

\(\qquad \sf  \dashrightarrow \: 2x \)

\(\qquad \sf  \dashrightarrow \: 2 \times 14 \degree\)

\(\qquad \sf  \dashrightarrow \: 28 \degree\)

The value of f(x) when x is 3 is 15

A Function in mathematics is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

For example, if f(x) = x² +2x +5 , the value of f(x) when x is 2 is calculated as;

f(x) = 2² + 2(2) + 5

f(x) = 4 +4+5

= 13

This done by substituting the given value of x into the expression.

Similarly , if f(x) = 5x, the value of f(x) when x is 3 is calculated as;

f(x) = 5(3)

f(x) = 15

therefore the value of f(x) when x is 3 is 15

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Answer:

x = 5

y = 1

Step-by-step explanation:

2x - y = 9

3x + 4y = 19

We multiply the first equation by 4

8x - 4y = 36

3x + 4y = 19

11x = 55

x = 5

Now we put 5 in for x and solve for y

2(5) - y = 9

10 - y = 9

-y = -1

y = 1

Let's Check the answer

2(5) - 1 = 9

10 - 1 = 9

9 = 9

So, x = 5 and y = 1 is the correct answer.

Answer:

Intersecting (fourth answer choice)

Step-by-step explanation:

First, let's convert both lines to slope-intercept form, whose general equation is y = mx + b, where

Converting y - 3x = 4x to slope-intercept form:

(y - 3x = 4x) + 3x

y = 7x

Thus, the slope of this line is 7 and the y-intercept is 0.

Converting 6 - 2y = 8x to slope-intercept form:

(6 - 2y = 8x) - 6

(-2y = 8x - 6) / -2

y = -4x + 3

Thus, the slope of this line is -4 and the y-intercept is 3.

Checking if y = 7x and y = -4x + 3 are perpendicular lines:

We can show this in the following formula:

m2 = -1 / m1, where

Thus, we only have to plug in one of the slopes for m1.  Let's do -4.  

m2 = -1 / -4

m2 = 1/4

Thus, the slopes 7 and -4 are not negative reciprocals of each other so the two lines are not perpendicular.

 Checking if y = 7x and y = -4x + 3 are parallel lines:

The slopes of parallel lines are equal to each other.

Because 7 and -4 are not equal, the two lines are not parallel.

Checking if the lines intersect:

Method to solve the system:  Elimination:

We can multiply the first equation by -1 and keep the second equation the same, which will allow us to:

-1 (y = 7x)

-y = -7x

----------------------------------------------------------------------------------------------------------

    -y = -7x

+

    y = -4x + 3

----------------------------------------------------------------------------------------------------------

(0 = -11x + 3) - 3

(-3 = -11x) / 11

3/11 = x

Now we can plug in 3/11 for x in y = 7x to find y:

y = 7(3/11)

y = 21/11

Thus, x = 3/11 and y = 21/11

We can check our answers by plugging in 3/11 for x 21/11 for y in both y = 7x and y = -4x + 3.  If we get the same answer on both sides of the equation for both equations, the lines intersect:

Checking solutions (x = 3/11 and y = 21/11) for y = 7x:

21/11 = 7(3/11)

21/11 = 21/11

Checking solutions (x = 3/11 and y = 21/11) for y = -4x + 3:

21/11 = -4(3/11) + 3

21/11 = -12/11 + (3 * 11/11)

21/11 = -12/11 + 33/11

21/11 = 21/11

Thus, the lines y = 3x = 4x and 6 - 2y = 8x are intersecting lines (the first answer choice).

This also means that lines are not skew since lines had to be neither perpendicular nor parallel nor intersecting to be skew.

Answer: 7

Step-by-step explanation:

Since there are 42 tubes and each tray can hold 6 tubes, it will be 42/6 which is 7.

Answer:

8 hours

Step-by-step explanation:

Let x = the hours she work

Equation-

1.  20x + 12 = 172

2.         - 12   - 12

     20x = 160

3.   /20    /20

4.  x= 8 hours

1. Write out the equation

2. subtract 12 from both sides

3. Divide 20 on both sides

4. Your answer is 8 hours

She should come to work on time and work at least 8 hours to earn $ 172 a day.

Given that a computer engineer is paid $ 20 per hour and $ 12 for coming to work on time, to determine how many hours must she work to earn a minimum of $ 172, the following calculation must be performed:

Therefore, she should come to work on time and work at least 8 hours to earn $ 172 a day.

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