Please help me with this question.

The required system of equation has no solution.

The more physical interpretation of the idea of two linear equations having a linear equation is that it will always have a singular solution regardless of whether the lines are parallel or coinciding.

We have,

4x + 10y = 57---------------(1)

2x + 5y = 38

Multiply 2

4x + 10y = 76----------(2)

So, above equation (1) and (2) has no solution.as values of x and y are not same for both the equation.

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The system of inequalities y > x + 2 and y < x - 3. when solved will not have solutions

When the graphs meet at a point, a system of linear equations has just one solution.

No solution, When the graphs are parallel, a system of linear equations cannot have a solution.

examining the system of linear equations y > x + 2 and y < x - 3, the slope of the two linear functions are equal with a value of 1.

Because of this, the equations will not intersect and the lines are said to be parallel and no solution expected

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Answer:2√5

Step-by-step explanation:

5. If OR is perpendicular to PQ and O its the center of the cincunference it means that RP has the same size of QR, then all you have to do its a Pythagorean theorem

H^2=C^2+C^2

OP^2=(2√3)^2+(2√2)^2

(=)OP^2= 12+8

(=)OP^2=20

(=)OP=±√20 ∧ OP>0

(=)OP=2√5

I'm Sorry for the bad english

Answer: -5

Step-by-step explanation:

y2 - y1/x2 - x1

3 + 2/3 - 4

5/-1

-5

3 of mixed cereal and 2 of tropical fruit

The point that satisfies this inequalities y > -(1/3)x - 2 and y > 2x + 6 is (2, 15)

An equation is an expression composed of variables and numbers linked together by mathematical operations.

The slope intercept form of a linear equation is:

y = mx + b

Where m is the slope (rate of change) and b is the y intercept.

Given the linear inequalities:

y > -(1/3)x - 2    (1)

y > 2x + 6       (2)

Plotting both inequalities:

The point that satisfies this graph is (2, 15)

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Answer:

-27

Step-by-step explanation:

3a - 4b
-3 - 4b
-3 - 24
-27

The x-intercept of the equation y=-13x+234 is (18,0).

The point slope form is used to find the equation of the straight line which is inclined at a given angle to the x-axis and passes through a given point.

The equation of the point slope form is: (y - y₁) = m(x - x₁)

where, (x, y) is a random point on the line and m is the slope of the line.

1) From the give table, we have (18, 0) and (15, 39).

Here, slope(m) = (39-0)/(15-18)

m= -13

2) Substitute m= -13 and (x₁, y₁)=(18, 0) in point slope form, we get

(y-0)= -13(x-18)

y=-13x+234

To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.

x-intercept(s): (18,0)

y-intercept(s): (0,234)

Therefore, the x-intercept of the equation y=-13x+234 is (18,0).

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Answer:

Step-by-step explanation:

Two opposite numbers are 16 units away from each other. What are the numbers?

16 : 2 = 8

-8 and 8, the distance is 16

If In ΔEFG, e = 690 inches, ∠F=94° and ∠G=46° then the length of g is 800 inches.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

The sum of interior angles of a triangle are 180 degrees.

In ΔEFG, e = 690 inches, ∠F=94° and ∠G=46

We need to find the ∠E then the length of g.

∠E+∠F+∠G=180

∠E+94+46=180

∠E+140=180

∠E=40 degrees

By using sinE rule we have to find the length of g.

SinE/E=sinG/G

sin40/690=sin46/x

0.642/690=0.72/x

0.00093=0.72/x

x=0.72/0.0009

x=800 inches

Hence, the length of g is 800 inches.

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The graph that shows that y is less than or equal to 3x - 4 is plotted and attached

The graph is plotted by forming a table of value, then tracing eaching point in the table and marking the points of intersection of the x and y

The points intersections later joined with a line

The table of value is formed for x = -2, 0, and2

y ≤ 3x - 4

for x = -2, y ≤ 3 * -2 - 4 = -10

for x = 0, y ≤ 3 * 0 - 4 = -4

for x = 2, y ≤ 3 * 2 - 4 = 2

table of value

x      y

-2    -10

0     -4

2      2

The graph is attached, the line is a solid line since the inequality is less than or "equal to". The shading is below because it is less than

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Answer:

sight line & horizontal line

Step-by-step explanation:

varsitytutrs

The computation of sin^3(x) + cos^3(x) is mathematically given as (2/5)(1 - sin(x)cos(x))

Generally, The study of the connections between the lengths of the sides of triangles and the angles of those triangles is the subject of the mathematical discipline known as trigonometry.

Applications of geometry to astronomical research gave rise to the discipline in the Hellenistic civilization during the third century B.C.

To compute sin^3(x) + cos^3(x), we can use the identity:

sin^3(x) + cos^3(x) = (sin(x) + cos(x))(sin^2(x) - sin(x)cos(x) + cos^2(x))

We know that sin(x) + cos(x) = 2/5, so we can substitute this into the above equation: sin^3(x) + cos^3(x) = (2/5)(sin^2(x) - sin(x)cos(x) + cos^2(x))

We also know that sin^2(x) + cos^2(x) = 1, so we can substitute this into the above equation:

sin^3(x) + cos^3(x) = (2/5)(1 - sin(x)cos(x))

Then we can simplify the above equation:

sin^3(x) + cos^3(x) = (2/5)(1 - sin(x)cos(x))

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Answer:

-6/5

Step-by-step explanation:

Perpendicular definition is that two gradients multiplying each others must equal to -1. This can be written in the form of [tex]\displaystyle{m_1m_2=-1}[/tex] where m stands for gradient or slope.

First, we know that the gradient of a line is 5/6, we'd have to find another gradient that is perpendicular to each other. Hence, substitute in the equation:

[tex]\displaystyle{\dfrac{5}{6}m_2=-1}[/tex]

Solve for [tex]m_2[/tex], multiply both sides by 6 first:

[tex]\displaystyle{\dfrac{5}{6}m_2 \times 6=-1 \times 6}\\\\\displaystyle{5m_2=-6}[/tex]

Divide both sides by 5:

[tex]\displaystyle{\dfrac{5m_2}{5}=\dfrac{-6}{5}}\\\\\displaystyle{m_2=-\dfrac{6}{5}}[/tex]

Therefore, the gradient that is perpendicular to 5/6 is -6/5

The gradient of a line perpendicular to a line with a gradient of ⅚​ is -5/6.

We have,

A line perpendicular to a line with a gradient of ⅚​ will have a gradient that is the negative reciprocal of ⅚​.

The negative reciprocal of ⅚​ can be found by taking the reciprocal of ⅚​ (which is 6/5) and then negating the result.

So the gradient of the perpendicular line is:

-1/(6/5) = -5/6

Therefore,

The gradient of a line perpendicular to a line with a gradient of ⅚​ is -5/6.

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Answer:

given that z=3 and w=2

10z+5w

now by putting the values of z and w

10(3) + 5(2)

30 + 10

40 is your correct answer

The larger acute angle in the right triangle is 60°

A triangle with at least one angle a right angle, is called a right triangle.

Given that, In a right triangle, cos (9x) = sin (6x - 10)°.

We know that, sine and cosine of an angle are supplementary.

Therefore,

9x+6x-10 = 90

15x = 100

x = 20 / 3

Therefore, sin(6(20/3)-10)°

= sin(30)°

And also,

cos(9(20/3)

= cos(60)°

Hence, the larger angle is in the triangle is 60°

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Answer:

The formula for the volume of a cylinder is V = πr^2h, where r is the radius and h is the height.

So, using the given measurements, we can substitute in the values and solve for the volume:

V = π(1.9 cm)^2(8.9 cm) = 301.958 cm^3

Rounded to the nearest tenth, the volume of the can is 301.9 cm^3.

Step-by-step explanation:

The mental math for the fraction is shown below.

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

Given:

Model: 1 1/4 + 2 1/3 + 3 2/3 + 4 1/2 + 5 1/2 + 6 3/4

Now, if we use mental math then we can add the whole number first.

1 + 2 + 3 + 4 + 5 + 6 = 21

Now, add the fraction with same denominator

1/3 + 2/3 = 3/3 = 1

1/2 + 1/2 = 1

1/4 + 3/4 = 4/4 = 1

Finally add all of them

21 + 1+ 1 +1= 24.

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The period and the midline of this function is 8 and y = 6 respectively.

The horizontal line that exactly straddles the maximum and minimum points of the graph is known as the midline.

The vertical separation between the midline and one of the extremum points is known as the amplitude. The time interval between two consecutive maximum points or two consecutive minimum points is known as the period (these distances must be equal).

A periodic function's midline is the horizontal line that lies halfway between its maximum and minimum output values. The distance between a periodic function's maximum (or minimum) output value and the midline is known as the amplitude of the function.

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The value of the specified finite sum is -15.

The correct option is D.

Subtraction is a mathematic operation. Which is used to remove terms or objects in an expression.

Given:

The finite sum,

[tex]\sum^n_{k=1}{a_k = 5[/tex],

and [tex]\sum^n_{k=1}{b_k = 10[/tex].

Now,

[tex]\sum^n_{k=1}{a_k -2b_k = \sum^n_{k=1}{a_k -2\sum^n_{k=1}{b_k[/tex]

Substituting the values,

[tex]\sum^n_{k=1}{a_k -2b_k[/tex] = 5 - 20

                      = -15

Therefore, the value is -15.

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Answer: 69

Step-by-step explanation:

In the equation 692 = 4,761, we can see that 692 is being multiplied by some number to get 4,761. To find that number, we can divide 4,761 by 692:

4,761 / 692 = 69.

So, 4,761 / 69 = 69

In this case, 692 is being multiplied by 69 to get 4,761, so 69 is the value we get when we divide 4,761 by 69.

Answer:

The interest earned is $92.40

The amount in the bank is 92.40 + 700 = $792.40

Step-by-step explanation:

I do not see a number line

Interest = principle x rate x time

Interest = 700 x .033 x 4

Interest = 92.40

Answer:

0.124176

Step-by-step explanation:

.06 x .995 x 1.3 x 1.6= 0.124176

You change a percent into a decimal by dividing it by 100%

Answer:

The annual passenger revenue of the rail transport corporation was $930 million when:

R = 930

-20|t-15| + 1,010 = 930

-20|t-15| = 80

|t-15| = 4

So, we can see that t-15 = 4 and t-15 = -4 both lead to an annual revenue of $930 million dollars.

To find the values of t, we add 15 to both sides of the equation:

t-15 = 4 => t = 19

t-15 = -4 => t = 11

So, the years where the passenger revenue was $930 million are:

2011

2019

The linear function graphed is defined as follows:

B. y = 3x + 2.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

The line in this problem crosses the y-axis at y = 2, hence the intercept b is given as follows:

b = 2.

When x increases by one, y increases by three, hence the slope m of the function is given as follows:

m = 3.

This means that the function is defined as follows:

y = 3x + 2.

Meaning that the correct option is given by option B.

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Answer: A rational function is a function that is a fraction and has the property that both its numerator and denominator are polynomials.

Step-by-step explanation:

The mean number of goals for two seasons is 2.44 goals per match.

When the average is not of any individual rather it is an average of two or more groups or sets it is called a weighted average.

To obtain the weighted average we multiply no. of individuals by their averages and sum the next group in the previous procedure and divide them by the total no. of individuals.

Given, Last season Rio's football team scored 50 goals in 20 matches.

This season they scored 60 goals in 25 matches.

Therefore, The mean number of goals per match for each season is,

= (50 + 60)/(20 + 25).

= 110/45.

= 2.44 goals per match.

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Answer:

You could convert 21/2 to a whole number by multiplying it by 2 and then dividing by 2, so 21/2 = 21/2 = 10.5, then dividing the total by the number of people that is 10.5 / 7 = 1.5 glasses/person.