Solve:
\( \sf \large \frac{2x - 1}{5} = \frac{x - 2}{2} \)
Thanks for answering......​

Answer:

The answer is

\(y = 3\)

\(y = - 4\)

Step-by-step explanation:

We must find a solution where

\( \frac{6}{y + 1} + \frac{y}{y - 2} = \frac{6}{y + 1} \times \frac{y}{y - 2} \)

Consider the Left Side:

First, to add fraction multiply each fraction on the left by it corresponding denomiator and we should get

\( \frac{6}{y + 1} \times \frac{y - 2}{y - 2} + \frac{y}{y - 2} \times \frac{y + 1}{y + 1} \)

Which equals

\( \frac{6y - 12}{(y -2) (y + 1)} + \frac{ {y}^{2} + y }{(y - 2)(y + 1)} \)

Add the fractions

\( \frac{y {}^{2} + 7y - 12 }{(y - 2)(y + 1)} = \frac{6}{y + 1} \times \frac{y}{y - 2} \)

Simplify the right side by multiplying the fraction

\( \frac{6y}{(y + 1)(y + 2)} \)

Set both fractions equal to each other

\( \frac{6y}{(y + 1)(y - 2)} = \frac{ {y}^{2} + 7y - 12}{(y + 1)(y - 2)} \)

Since the denomiator are equal, we must set the numerator equal to each other

\(6y = {y}^{2} + 7y - 12\)

\( = {y}^{2} + y - 12\)

\((y + 4)(y - 3)\)

\(y = - 4\)

\(y = 3\)

Answer:

Step-by-step explanation:

\(\frac{6}{y+1}+\frac{y}{y-2}=\frac{6}{y+1} \times \frac{y}{y-2} \\multiply ~by~(y+1)(y-2)\\6(y-2)+y(y+1)=6y\\6y-12+y^2+y=6y\\y^2+y-12=0\\y^2+4y-3y-12=0\\y(y+4)-3(y+4)=0\\(y+4)(y-3)=0\\y=-4,3\)

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

\(\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\)

                What kind of number is \(\bold{-\sqrt{2}}\)?

\(\large\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}\)

First, let's look at each of the four sets of numbers:-

So in which set does \(\bold{-\sqrt{2}}\) belong?

First, it's negative, so it's not a natural number.

Then, it's not an imaginary number, so it doesn't belong in the "Not a real number" set.

It can't be written as a fraction, so it doesn't belong in the "Rational" set, but it does belong in the "Irrational numbers" set.

According to the answer and explanation, we conclude that the number \(\bold{-\sqrt{2}}\) belongs in the "Irrational number" set.

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

hello

to solve this question, let's assume triangle ABC is a right-angled triangle

using pythagorean theorem, we can solve for length AB

now that we know the length of ab, we can use that informaton to solve for x

note that ac and ad are the radius.

from the calculation above, the value of x is equal to 3.71

Answer:

Step-by-step explanation:

9(y = 1/9x + 5)

9y = x + 45

-x + 9y = 45

x - 9y = -45

The equation in standard form of the given line is x-9y+45 = 0

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given is an equation of a line, y = x/9 +5

We know, the standard form for linear equations in two variables is Ax+By=C.

Therefore, converting into the standard form

y = x/9 +5

Multiply the equation by 9 to both sides,

9y = x+45

x-9y+45 = 0

Hence, The equation in standard form of the given line is x-9y+45 = 0

For more references on equations, click;

https://brainly.com/question/29657992

#SPJ3

The difference between ANOVA and Z-test Hypothesis is the Z-test is employed to contrast the averages of single or dual populations, whereas ANOVA is utilized for assessing the means across three or more clusters.

The Z-test becomes possible in  the comparison of the mean of a sample to that of the population. It evaluates if there is statistical relevance in the difference between the mean of a sample and the mean of the whole population

In contrast, ANOVA is employed to contrast the averages of three or more separate groups. This assesses if there is a noteworthy distinction in the averages of said groups. The F-statistic in ANOVA is computed by assessing the disparity in variability between groups and the variability within groups.

In a nutshell, the Z-test is employed to contrast the averages of single or dual populations, whereas ANOVA is utilized for assessing the means across three or more clusters.

Learn more about ANOVA at: https://brainly.com/question/25800044

#SPJ1

Answer:

Last on is the answer!! (The relation is a function, and the range is (-2,-1, 1, 3, 4). Hope this helps:)

g(x) = -2√x + 8 is the function that has the same range as f(x) = -2√(x - 3) + 8. Both functions have the range of y ≤ 8

The function that has the same range as f(x) = -2√(x - 3) + 8 is g(x) = -2√x + 8. Both functions have the range of y ≤ 8.There are a few steps involved in determining which function has the same range as f(x) = -2√(x - 3) + 8. The range of a function refers to all the possible output values that the function can produce.Let's begin by examining the original function:f(x) = -2√(x - 3) + 8The square root symbol (√) implies that x-3 must be greater than or equal to 0. If x-3 is negative, then the function would produce an imaginary result.

Let's solve for x when f(x) = 0:0 = -2√(x - 3) + 8-8 = -2√(x - 3)4 = √(x - 3)16 = x - 3x = 19This tells us that the x-value that produces an output of 0 is x = 19. To determine the range, we need to find the maximum and minimum output values. We can use a graphing calculator or sketch a graph to determine the shape of the function and the range.The shape of the function suggests that the range is y ≤ 8, which means that the maximum value of the function is 8. This tells us that any function with the same maximum output value of 8 will have the same range as f(x).

for more search question  function

https://brainly.com/question/25638609

#SPJ8

Answer:

\(g(x)=x^3-8x^2+9x+11\)

Step-by-step explanation:

\(f(x)=-x^3-8x^2-9x+11\)

When a function is reflected across the y-axis, negative x-values become positive, and positive x-values become negative.

Therefore, substitute -x in place of x in the function f(x):

\(g(x)=-(-x)^3-8(-x)^2-9(-x)+11\)

We know that \((-x)^3=-(x^3)\)

\(\implies -(-x)^3=--(x^3)=x^3\)

We know that \((-x)^2=x^2\)

\(\implies -8(-x)^2=-8(x)^2=-8x^2\)

Also \(-9(-x)=+ \ 9x\)

Therefore,

\(g(x)=x^3-8x^2+9x+11\)

Check the picture below.

\(\sin( \theta )=\cfrac{\stackrel{opposite}{0.5}}{\underset{hypotenuse}{0.64}} \implies \sin^{-1}(~~\sin( \theta )~~) =\sin^{-1}\left( \cfrac{0.5}{0.64} \right) \\\\\\ \theta =\sin^{-1}\left( \cfrac{0.5}{0.64} \right)\implies \theta \approx 51.4^o\)

Make sure your calculator is in Degree mode.

2 + 2 = 4

* * + * *

* * * *

Answer:

4

Step-by-step explanation:

2 + 2 is 4 cause if you add 2 two two’s it would be 4

the graph of the equation y = 2 x - 2 is being obtained.

We are given the equation:

y = 2 x - 2

We need to make the graph of the equation.

We will first find some points on this equation:

x              y

0             -2

1               0

2              2

3              4

4              6

5              8

Now, we will plot these points on the graph and join them with a dark line to obtain the graph of the equation y = 2 x - 2.

Therefore, the graph of the equation y = 2 x - 2 is being obtained.

Learn more about graph here:

https://brainly.com/question/19040584

#SPJ9

In the unit circle

The radius of the circle = 1

At any point (x, y) on the circle

x-coordinate = cos(x)

y-coordinate = sin(x)

Then to find the radius of the circle we will use the Pythagorean Theorem

Substitute x by cos(x) and y by sin(x)

The correct identity is the 2nd choice

1) The flux through the surface is given by the product of the magnetic field and the surface area is 0.0981 Wb

2) If the area of the coil is reduced to 0.150 m2 while keeping the orientation of the coil the same, then the new flux through the surface is 0.0675 Wb

3) The flux through the surface is zero, and no magnetic field passes through the surface.

A magnetic field is a force field that surrounds a magnet or a current-carrying wire.

In the first scenario, we have a rectangular coil of wire with an area of 0.218 m2 situated in a constant magnetic field of 0.450 T.

Therefore, the flux through the surface is given by the product of the magnetic field and the surface area, which is:

Flux = magnetic field x surface area

= 0.450 T x 0.218 m2

= 0.0981 Wb

In the second scenario, the area of the coil is reduced to 0.150 m2 while keeping the orientation of the coil the same. The flux through the surface is given by:

Flux = magnetic field x surface area

= 0.450 T x 0.150 m2

= 0.0675 Wb

Therefore, by reducing the surface area, the flux through the surface also reduces.

In the third scenario, we go back to a coil with an area of 0.218 m2, but instead, we rotate the coil such that the normal to the surface of the coil is perpendicular to the direction of the magnetic field. In other words, the angle between the magnetic field and the surface is 90 degrees. In this case, the flux through the surface is given by:

Flux = magnetic field x surface area x cos(theta)

= 0.450 T x 0.218 m2 x cos(90)

= 0

Since the angle between the magnetic field and the surface is 90 degrees, the cosine of 90 degrees is zero.

To know more about magnetic field here

https://brainly.com/question/14848188

#SPJ4

Answer:

SA = 470 m²

volume = 494 m³

Step-by-step explanation:

Individual areas

Back = 4 x 19 = 76 m²

Top = 5 x 19 = 95 m²

sloped side = 5 x 19 = 95 m²

base = 8 x 19 = 152 m²

end = (4 x 5) + 1/2(3 x 4) = 26 m²

Total SA = 76 + 95 + 95 + 152 + (2 x 26) = 470 m²

Volume

volume = (4 x 5 x 19) + 1/2(3 x 4 x 19) = 494 m³

Answer:

4/5 is the slope of the line represented by the equation y = 4/5x - 3

Using probability we know that the value of m+n = 11.

The area of mathematics known as probability works with numerical representations of the probability that an event will occur or that a statement is true.

A game's probability is a number ranging from zero and 1, where, roughly speaking, 0 denotes the game's impossibility and 1 denotes certainty.

So, we know that:

5 tails = 1/25 times the probability of occurrence of five heads and three tails.

p = m/n

The value of m+n will be:

p + q = 1

We have, ⁸C₃p³(1-p)⁵ = 1/25⁸C₅p⁵(1-p)³

25(1-p)² = p²

p/1-p = ±5

p = 5/6, 5/4

p = 5/6 = m/n

(P<1)

m+n = 11

Therefore, using probability we know that the value of m+n = 11.

Know more about probability here:

https://brainly.com/question/28924396

#SPJ4

Answer:

f(x) = 6x² - 24x + 21

Step-by-step explanation:

The equation of a quadratic function in vertex form is

f(x) = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k ) = (2, - 3 ) , then

f(x) = a(x - 2)² - 3

To find a substitute (1, 3 ) into the equation

3 = 1(1 - 2)² - 3

3 = a(- 1)² - 3

3 = a - 3 ( add 3 to both sides )

6 = a

f(x) = 6(x - 2)² - 3 ← in vertex form

     = 6(x² - 4x + 4) - 3

     = 6x² - 24x + 24 - 3

f(x) = 6x² - 24x + 21 ← in standard form

The system of equations which this graph represent include the following:

A. y = x² + 2

   y = x + 4

In Geometry, the point-slope form of a straight line can be calculated by using this equation:

y - y₁ = m(x - x₁)

Where:

First, we would find the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (6 - 3)/(2 + 1)

Slope (m) = 3/3

Slope (m) = 1.

At data point (-1, 3) and a slope of 1, an equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 3 = -1(x + 1)

y = -x + 4

For the quadratic equation, we have;

y = a(x - h)² + k

6 = a(-2 - 0)² + 2

4 = a4

a = 4/4

a = 1

Therefore, the required quadratic function is given by:

y = a(x - h)² + k

y = (x - 0)² + 2

y = x² + 2

Read more on point-slope here: brainly.com/question/24907633

#SPJ1

Missing information:

The question is incomplete and the complete question is shown in the attached picture.

The given expression is,

Multiply using distributive property(A(B+C)=AB+AC),

Therefore, the final expression is,

It is true that Some people procrastinate because they are perfectionists.

People sometimes procrastinate because of their perfectionism. For case, an analyst might not acknowledge the plausibility of having any imperfections in their paper (indeed if those blemishes are insignificant) and thus keep going over the paper’s draft, indeed after it’s great sufficient to submit.  This is some of the time related to wanting or expecting to seek after a distant better; a much better; a higher; a stronger; an improved"; a higher alternative afterward, for illustration when somebody delays beginning to work out at domestic, since they arrange to in the long run connect an exercise center, indeed even though it would still be way better for them to begin working out presently.

To know more about procrastinating refer to the link https://brainly.com/question/21272212?referrer=searchResults.

#SPJ9

The width of the blanket to the nearest tenth of an inch is approximately 67.4 inches.

What is width in rectangle ?

In a rectangle, the width refers to the measurement of the shorter side of the rectangle, which is perpendicular to its length.

Let x be the width of the blanket in inches. Then the length of the blanket is x + 18 inches.

The area of the blanket is given by:

Area = Length x Width

5760 sq inches = (x + 18) inches * x inches

Expanding the right-hand side and solving for x, we get:

\(x^2 + 18x - 5760 = 0\)

We can solve this quadratic equation using the quadratic formula:

\(x = (-b \pm \sqrt{(b^2 - 4ac)}) / 2a\)

where a = 1, b = 18, and c = -5760. Plugging in these values, we get:

\(x = (-18 \pm \sqrt{(18^2 - 4(1)(-5760))}) / 2(1)\)

\(x = (-18 \pm \sqrt{(18^2 + 23040)}) / 2\)

x ≈ 67.42 or x ≈ -85.42

Since the width cannot be negative, the width of the blanket to the nearest tenth of an inch is approximately 67.4 inches.

To learn more about quadratic equation from the given link :

https://brainly.com/question/30098550

#SPJ1

Answer:

yes ur friend is correct

Step-by-step explanation:

because the value of x .

The diagram only shows that angles M and B are supplementary ( add up to 180 degrees) and that angel 4x is adjacent to angel M.However, there is no information about the measure of angle B or angel M, so we cannot determine the value of x

Answer:

2

Step-by-step explanation:

p3 = 8

square root of 64 = 8

q = 8

so that means that the equation is > 8+8 / 8 = 2

plz mark brainliest!

A.) 9

Original Equation: p³ + √64 ÷ q

Substitute: ⇒2³ + √64 ÷ 8

Solve for Each Value:

⇒ (p³ or 2³) = 8

⇒ (√64) = 8

⇒ (q or 8) = 8

Now, Solve the Equation Using the Order of Operations ( or P.E.M.D.A.S (perenthesis, exponents, multiplication, division, addition, subtraction)):

New equation: 8 + 8 ÷ 8

Using P.E.M.D.A.S.:

(8 ÷ 8) = 1

8 + (1) = 9

Answer:

the last one

Step-by-step explanation:

Answer:

Here's a step-by-step explanation of how to find x in the equation 2x + 7 = -15:

First, we want to isolate the variable (x) on one side of the equation. To do this, we need to get rid of the constant (7) on the same side as x.

To cancel out the 7, we need to subtract 7 from both sides of the equation. This gives us:

2x + 7 - 7 = -15 - 7

Simplifying, we get:

2x = -22

Now we want to isolate x completely, so we need to get rid of the coefficient (2) that's multiplied with x.

To cancel out the 2, we can divide both sides of the equation by 2. This gives us:

2x/2 = -22/2

Simplifying, we get:

x = -11

So the solution to the equation 2x + 7 = -15 is x = -11.

Answer:

-11

Step-by-step explanation:

The key to this is to work backwards

You start with -15, and you know that you're adding 7 to get -15

So you take the 7 out of the equation by subtracting it from -15

-15 - 7 = -22

Now your new equation is:

2x = -22

2 times what equals 22? 11 right?

So 2 times -11 would equal -22

Which means that...

x = -11

Hope this helps! :)

Answer:

Let x = BC

then by given condition

\(\frac{x}{12} = \frac{24}{18}\\x = \frac{12*24}{18}\\x = \frac{48}{3} = 16\)

Subtract the difference:

14,649 - 2389 = 12,260

Divide that by 2

12,260 / 2 = 6,130

That is the number of shows for B.

For A add the 2,389 to the number of shows for B

2389 + 6130 = 8,519

Show A = 8,519

Show B = 6,130

Answer:

14,649 - 2389 = 12,260

Divide that by 2

12,260 / 2 = 6,130

That is the number of shows for B.

For A add the 2,389 to the number of shows for B

2389 + 6130 = 8,519

Show A = 8,519

Show B = 6,130

Step-by-step explanation: