suppose your household income increased to $2,000.00 and your energy bill came from $180.00 how many percent of your household income is being spent on electricity​?​

Answers

Answer 1

hi brainly user! ૮₍ ˃ ⤙ ˂ ₎ა

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[tex]\large \bold {ANSWER}[/tex]

[tex]\implies \boxed{\underline{\huge{\tt{\orange{\: \: 9\% \: \: }}}}}[/tex]

9% of the family income is being spent to pay the energy bill.

[tex]\large \bold {SOLUTION}[/tex]

HOW TO FIND OUT THE PERCENTAGE?

If your income is now $2,000.00 and you have withdrawn $180.00 from the value, then we say that the $2,000.00 is equivalent to 100% of the value, that is, the total amount. And the amount that was withdrawn will be X because we still don't know how much percent is equivalent to $ 180.00 of this value.

To solve, we will use the simple rule of three like this:

[tex]\frac{2000}{180} = \frac{100}{x}[/tex]

With this we will multiply the denominator of one with the numerator of the other, being:

2000 * X and 180 * 100Where: 2000 * x is equal to 2000xAnd 180 * 100 is equal to 18,000

Knowing this, we will solve it this way:

2000x = 18,000

To start we will isolate the unknown(x) from the values taking the 2000 to the other side of the equality turning it into the denominator of 18,000.

[tex]x = \frac{18000}{2000}[/tex]

And to finish, we cut the 3 zeros of the numerator with the d 3 zeros of the denominator getting 18 / 2. Now it's just dividing.

[tex]\begin{gathered}x = \frac{18}{2} \\ \\ x = 9\end{gathered}[/tex]

We can conclude that the amount spent to pay the energy bill is equivalent to 9% of the family income.


Related Questions

Using Newton-Raphson method to find the approximate root of the equation x log_{10}x=1.2
( Carry out three iterations ). [tex] \\ \\ [/tex]
Thank uh!

Answers

Answer:

[tex]x \approx 2.740646096[/tex]

Step-by-step explanation:

Given:

[tex]x\log_{10}x=1.2[/tex]

Rewrite so that it's equal to zero:

[tex]\implies x\log_{10}x-1.2=0[/tex]

Therefore:

[tex]\implies f(x)=x\log_{10}(x)-1.2[/tex]

Differentiate the function:

Use the product rule to differentiate [tex]x\log_{10}(x)[/tex]:

[tex]\textsf{Let }u=x \implies \dfrac{du}{dx}=1[/tex]

[tex]\textsf{Let }v=\log_{10}(x) \implies \dfrac{dv}{dx}=\dfrac{1}{x \ln 10}[/tex]

[tex]\begin{aligned}\implies \dfrac{dy}{dx} & = u\dfrac{dv}{dx}+v \dfrac{du}{dx}\\& = \dfrac{x}{x \ln 10}+\log_{10}(x)\\& = \dfrac{1}{\ln 10}+\log_{10}(x)\end{aligned}[/tex]

[tex]\implies f'(x)=\dfrac{1}{\ln 10}+\log_{10}(x)[/tex]

[tex]\implies f'(x)=\dfrac{1+\ln 10 \log_{10}(x)}{\ln 10}[/tex]

Newton-Rhapson iteration formula

[tex]x_{n+1}=x_n-\dfrac{f(x_n)}{f'(x_n)}[/tex]

Substitute the function and its derivative into the formula, replacing x with [tex]x_n[/tex]:

[tex]\implies x_{n+1}=x_n-\dfrac{x_n\log_{10}(x_n)-1.2}{\dfrac{1+\ln 10 \log_{10}(x)}{\ln 10}}[/tex]

[tex]\implies x_{n+1}=x_n-\dfrac{x_n\ln 10\log_{10}(x_n)-1.2\ln 10}{1+\ln 10 \log_{10}(x_n)}[/tex]

Therefore, the iteration formula is:

[tex]x_{n+1}=x_n-\dfrac{x_n\ln 10\log_{10}(x_n)-1.2\ln 10}{1+\ln 10 \log_{10}(x_n)}[/tex]

Let [tex]x_0=3[/tex]

Substitute this into the formula and carry out 3 iterations:

[tex]\implies x_{1}=3-\dfrac{3\ln 10\log_{10}(3)-1.2\ln 10}{1+\ln 10 \log_{10}(3)}=2.746149035[/tex]

[tex]\implies x_2=2.740648841[/tex]

[tex]\implies x_3= 2.740646096[/tex]

Find the area and perimeter.

The figure shows a triangle. One side is given by 4 x minus 3 units. The second side is given by x plus 9 units. The third side is equal to 8 units. The height from the third side is given by 3 x units.

Hint: The height of a non-right triangle is the length of the segment of a line that is perpendicular to the base and that contains the opposite vertex

Answers

Answer:

Area=12x square units;  Perimeter=5x+14 units

Step-by-step explanation:

Recall the formulas for area and perimeter of a triangle:

Area of a triangle is half of the product of a base its corresponding height:

[tex]A=\frac{1}{2}bh[/tex]

Perimeter is the sum of all of the side lengths:

[tex]P=a+b+c[/tex]

In arbitrary triangles ABC, the sides are labeled across from a vertex with a matching lowercase letter.  So, in my diagram, side "b" is the bottom with length "8".  Side "b" is also the base, so the corresponding height is the perpendicular line segment that connects side "b" with vertex "B", which measures "3x"... 3 times some unknown value.


Side "a" is length "4x-3", and side "c" is length "x+9".

In this situation, where the sides have their specific relationship with "x" and the height is exactly triple "x", solving for x (and thus exact numerical values for the Perimeter and Area) involves trying to relate the two equations, possibly done with Heron's formula for area, or with trigonometry.  Ultimately, it involves solving a 4th degree polynomial to get an exact answer, which is not what the question intends, so we'll leave the Area and Perimeter in terms of x (meaning there will still be "x" in our expressions to represent the Area and Perimeter).

Area

[tex]A=\frac{1}{2}bh\\A=\frac{1}{2}(8)(3x)\\A=12x[/tex]

So the Area of the triangle equals 12x square units.

Perimeter

[tex]P=a+b+c\\P=(4x-3)+(8)+(x+9)\\P=5x+14[/tex]

So the Perimeter of the triangle equals 5x+14 units

how do you solve this pls

Answers

Step-by-step explanation:

The equation of a exponential function is

[tex]a \times (b) {}^{x} [/tex]

where a is the y value of the y intercept, b is the constant rate of change.

Here the y intercept is (0,4), the y value of the y intercept is 4.

So a=4

The graph passes through point (1,2) so

[tex]h(x) = 4 \times b {}^{x} [/tex]

Plug in 1 for x, 2 for h(x)

[tex]2 = 4 \times {b}^{1} [/tex]

Anything to the first power is itself so

[tex]2 = 4 \times b[/tex]

Isolate b.

[tex] \frac{1}{2} = b[/tex]

So our function is

[tex]4 \times ( \frac{1}{2} ) {}^{x} [/tex]

Answer:

[tex]h(x)=4\left(\dfrac{1}{2}\right)^x[/tex]

Step-by-step explanation:

Exponential Function

General form of an exponential function:

[tex]y=ab^x[/tex]

where:

a is the initial value (y-intercept).b is the base (growth/decay factor) in decimal form.x is the independent variable.y is the dependent variable.

From inspection of the given diagram, the defined points on the curve are:

(0, 4)(1, 2)

As one of the defined points is the y-intercept (0, 4) then:

[tex]\implies a=4[/tex]

Substitute the found value of a and the point (1, 2) into the general form of an exponential function and solve for b:

[tex]\begin{aligned}h(x)=ab^x & \\\implies h(1)=4b^1 & = 2\\4b & = 2\\b & = \dfrac{2}{4}\\b & =\dfrac{1}{2} \end{aligned}[/tex]

Finally, substitute the found values of a and b into the general formula to complete the equation for the function h(x):

[tex]\implies h(x)=4\left(\dfrac{1}{2}\right)^x[/tex]

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Determine the relationship between the two triangles and whether or not they
can be
proven to be congruent.

Answers

Answer: These ARE congruent to each other.

Step-by-step explanation: Do you see the ''tick marks?'' They both have 1 set of 2, and 1 set of 1. If that makes sense. They also have a "angle" in one of their acute angles.

Solve for x in the equation x/5 -2=11

Answers

Answer:

x = 65

Step-by-step explanation:

Solve for x in the equation

x/5 - 2 = 11

x/5 = 11 + 2

x/5 = 13

x = 5 * 13

x = 65

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

check

65/5 - 2 = 11

13 - 2 = 11

11 = 11

the answer is good

Which value must be added to the expression x2 16x to make it a perfect-square trinomial?

Answers

Answer:

16

Step-by-step explanation:

x^2+16x+16

(x+4)(x+4)

x^2+ 4x+4x+16

Answer:

The answer is C.) 64 on edge.

The graph shows the growth rate of a certain bacteria in a lab, where the number of bacteria depends on the number of hours since the start of the experiment.Based on the graph, what is the approximate number of bacteria after 16 hours? 6 bacteria 8 bacteria 60 bacteria 80 bacteria

Answers

The approximate number of bacteria after 16 hours is 60 bacteria ,Option C is the right answer.

What is a Function ?

A function is a Mathematical statement which connects a dependent variable and an independent variable.

The graph shows the  the growth rate of a certain bacteria in a lab

the number of bacteria is on the y axis and

the number of hours is on the x axis

The function is continuous ,

From the graph the approximate number of bacteria after 16 hours is

60 bacteria

Therefore Option C is the right answer.

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An object travels along a circular path so that it completes one revolution in 8 seconds. If the linear velocity of the object is 90pi inches per minute, what is the diameter, in inches, of the circular path?

Answers

Answer:

Using the concept of speed-distance-time, we find that the diameter of the circular path is 12 inches.

Step-by-step explanation:

Given that the object completes one revolution in 8 seconds. So, the circular speed of the object is 2πr/8 = πr/4 inches per seconds, where r is the radius of the circular path. The speed can be written as:

πr/4 inches per seconds = 60πr/4 inches per minute = 15πr inches per minute.

But, it is given that the circular speed of the object is 90π inches per minute. So,

90π = 15πr

r = 6 inches

Since, diameter is the double of radius, d = 2r = 12 inches.

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3. Angle r* = 2wº. What is the measure of angle rº1 Show your work. 125⁰ Thangle A wo Wo Triangle B 125⁰ 3. Angle r * = 2wº . What is the measure of angle rº1 Show your work . 125⁰ Thangle A wo Wo Triangle B 125⁰​

Answers

Answer:

r = 290°

Step-by-step explanation:

Exterior angle property:

  In a triangle, exterior angles equals the sum of interior opposite angle.

In triangle A,

   x + 90 = 125   {Exterior angle property}

           x = 125 - 90

           x = 35°

In triangle B,

      y + 90 = 125

             y = 125 - 90

             y = 35°

    x + y + r = 360   {Complete angle}

35 + 35 + r = 360

         70 +r = 360

               r = 360 - 70

               r = 290°

Jill has c comic books. Tonya has 4 more than twice Jill's comic books. What variable expressions represents the total number of comic books Jill & Tony have all together?

Answers

Answer:

3c + 4

Step-by-step explanation:

Forming an expression

Number of books with Jill = c

To find the number of books with Tonya, multiply 'c' by 2 and then add 4 to it.

Number of books with Tonya = 2*c + 4

                                                 = 2c + 4

Total books all together = c + 2c + 4   {Combine like terms}

                                        = 3c + 4

A set of equations is given below.
Equation C: y = 7x + 12
Equation D: y = 7x + 2
How many solutions are there to the given set of equations?
O One solution
OTwo solutions
O Infinitely many solutions
O No solution

Answers

Answer:

2

Step-by-step explanation:

lucky guess from my boi tony

Name the relationship between x and y:

Answers

Answer:

They are the same angle.

Step-by-step explanation:

We have a diagonal line and two 180° parallel lines running through it. The x and y values should be identical because of the placement. The diagonal on the right and right above the 180° angle.

Option 2: Corresponding angles.

Hope this helps!

If not, I am sorry.

The speed of light is a constant and approximately equal to 300,000,000 meters per second.

Green lasers emit light at a wavelength of 532 nm. However, the material that is used to make most green lasers does not emit light at 532 nm. Instead, it emits light at a different wavelength, and the laser then uses a “frequency doubler.” This doubles the frequency of the emitted light, and the resultant light is the green 532 nm that we observe.

1 meter is equal to 1,000,000,000 nanometers.

What is the output light frequency of the material used before doubling?

Answers

The output light frequency of the material used before doubling will be 0.056 Hz.

What is the frequency?

Frequency is defined as the number of repetitions of a wave occurring waves in 1 second.

Frequency is given by the formula as,

[tex]\rm v = \lambda \times f \\\\\ \rm f = \frac{v}{\lambda} \\\\ \rm f = \frac{3 \times 10^8}{532 \times 10^-9} \\\\ \rm f = 3 \times 10^{12} \\\\ f= 0.056 \ Hz[/tex]

Hence the output light frequency of the material used before doubling will be 0.056 Hz.

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two negative integers have the sum of -12 and the product of 11 what are the integers

Answers

Answer:

-1 and -11

Step-by-step explanation:

"sum" means we're adding.

-1 + -11 = - 12

"product" means we're multiplying.

-1 × -11 = 11

PLEASE HELPPP!!
Solve the system of equations.

Answers

Answer:

x= 4

y= -2

Step-by-step explanation:

[tex]-3y+5x=26\\-2y-5x=-16[/tex]

Solve by using the Elimination Method.

[tex]-5y=10\\\\\frac{-5y}{-5} =\frac{10}{-5} \\\\y=-2[/tex]

Now plug y into one of the original equation.

=======================================

[tex]-2y-5x=-16[/tex]

[tex](-2*-2)-5x=-16[/tex]

[tex]4-5x=-16[/tex]

[tex]4-5x+5x=-16+5x[/tex]

[tex]4+16=-16+5x+16[/tex]

[tex]20=5x\\\\\frac{20}{5} =\frac{5x}{5} \\\\x=4[/tex]

=======================================

[tex]\left \{ {{x=4} \atop {y=-2}} \right.[/tex]

a) Copy a segment using the construction tool. Insert a screenshot of the construction here.
Alternatively, construct a segment and copy it by hand using a compass and straightedge. Leave
all circle and arc markings.

Answers

We need to understand circles and colinear points in order to use the building tool to create a circle.

What exactly is a circle?

It is a point locus drawn equidistant from the center. The radius of the circle is the distance from the center to the circumference.

Draw arcs such that they all bisect one another at a point, which will be the center of the circle, starting with three non-colinear points (points A, B, and C).

Additionally, the radius will match the distance between the arcs' centers and their correspondingly drawn arcs.

Hence we need to understand circles and colinear points in order to use the building tool to create a circle.

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help with both please :)

Answers

Answer: I know two methods of solving both of the sums. One is the method of elimination, the other is method of substitution. You can do any of the given methods which is easier for you. Both methods will be shown below:

                                    Method of Elimination

1) 5x + y = 9       - - - - (i)
  10x - 7y = - 18 - - - - (ii)

eq. (i) multiplied by 2
   10x + 2y = 18  - - - - (i)
   10x - 7y = - 18 - - - - (ii)       {subtraction of eq. (ii) from eq. (i)}
    0   + 9y = 36
              y = 36/9
              y = 4

From eq. (i),
   5x + y = 9
-> 5x + 4 = 9
-> 5x = 9 - 4
->  x = 5/5
-> x = 1

So, x = 1 and y = 4

2) - 4x + 9y = 9 - - - - (i)
      x - 3y = - 6 - - - - (ii)

eq. (ii) multiplied by 3
    - 4x + 9y = 9 - - - - (i)
     3x - 9y  = - 18 - - (ii)        {addition of eq. (ii) and eq. (i)}
      - x + 0 = - 9
              x  =  9

From eq. (ii),
    x - 3y = - 6
->  9 - 3y = - 6
->  - 3y = -6-9
->  y = -15/-3
->  y = 5

So, x = 9 and y = 5

                                Method of Substitution

1) 5x + y = 9       - - - - (i)
  10x - 7y = - 18 - - - - (ii)

eq. (i)

  5x + y = 9
-> y = 9 - 5x

Value of eq. (i) in eq. (ii)
   10x - 7y = - 18
-> 10x - 7(9 - 5x) = - 18
-> 10x - 63 + 35x = - 18
-> 45x = - 18 + 63
-> x = 45/45
-> x =  1

From eq. (i),
   5x + y = 9
-> 5 + y = 9
-> y = 9 - 5
-> y = 4

So, x = 1 and y = 4

2) - 4x + 9y = 9 - - - - (i)
      x - 3y = - 6 - - - - (ii)

eq. (i)
   - 4x + 9y = 9
-> - 4x = 9 - 9y
-> x = (9 - 9y) / -4

Value of eq. (i) in eq. (ii)
      x - 3y = - 6
-> (9 - 9y) / -4  -3y = - 6
-> (9 - 9y + 12y) = - 6 * - 4
-> 3y = 24 - 9
-> y = 15/3
-> y =  5

From eq. (ii)
   x - 3y = - 6
-> x - 3(5) = - 6
-> x - 15 = - 6
-> x = - 6 + 15
-> x = 9

So, x = 9 and y = 5

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The slope of the line containing the points (-5, 3) and (-2, 1) is
O-2/3
02/3
0-3/2

Answers

Answer:

Step-by-step explanation:

slope=(1-3)/(-2-(-5))

=-2/(-2+5)

=-2/3

Partially factored form: f(x) = (x − 3)(x 3)(x2− 4x 5) use the quadratic formula to identify the zeroes of x2 − 4x 5. x =

Answers

Answer:

2 ± i

Step-by-step explanation:

by 5, I assume you mean +5

x² - 4x + 5 = 0

x = (-b±(√(b²-4ac)) / 2a

x = (4 ± (√(16 - 20)) / 2

x = (4 ± (√(-4)) / 2

√-4 = √4√-1 which is 2i

x = (4 ± 2i) / 2

x = 2 ± i

Simplify the following expression 7a + 5b - 2a + b

Answers

5a+6b would be the simplified answer

Answer:

5a + 6b

Step-by-step explanation:

Simplify the following expression:

Simplify the following expression:

7a + 5b - 2a + b =

5a + 6b

If you vertically stretch the exponential function f(x)=2^x by a factor of 3 what is the equation of the new function

Answers

If you vertically stretch the exponential function f(x)=2^x by a factor of 3, the resulting function will be y = 3*2^x

Exponential function

The standard exponential function is expressed as:

y = ab^x

The value of x determines the nature of a graph whether vertical or horizontal stretch.

If x  > 1, it is a vertical stretch

Given the function f(x) = 2^x, if you vertically stretch the exponential function f(x)=2^x by a factor of 3, the resulting function will be y = 3*2^x

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f) 234x +(234x)⁰ (x0)

Answers

Answer:

the answer is 0

Step-by-step explanation:

because anything multiply by 0 is 0.

Can make me the brainliests answerer?Please

If m∠B = 46°, and m∠D = 67°, what is m∠BEA?

67°
46°
88°
134°

Answers

M/B=46 &m/D=67 /BEA=88

which choice is equivalent to the the expression
square root of -64

Answers

The equivalent expression of square root of -64 is 8i

How to determine the equivalent expression?

We have:

square root of -64

Rewrite as:

√-64

Expand

√64 * √-1

Take the square root of 64

8√-1

In complex numbers

√-1  = i

So, we have:

8i

Hence, the equivalent expression of square root of -64 is 8i

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1. inverse of a conditional Formed by exchanging the hypothesis and the conclusion and negating both of them. 2. contrapositive of a conditional A statement formed by interchanging the hypothesis and the conclusion in a conditional statement. 3. converse of a conditional A new statement formed by negating both the hypothesis and the conclusion.

Answers

See below for the vocabularies and their correct definition

Missing part of the question

Match the following vocabulary

How to match the vocabulary?

The terms are given as:

inverse of a conditionalcontrapositive of a conditional converse of a conditional

To get the inverse of a conditional, the hypothesis and the conclusion are negated, without interchanging them.

So, we have:

Inverse of a conditional ⇒ A new statement formed by negating both the hypothesis and the conclusion.

To get the contrapositive of a conditional, the hypothesis and the conclusion are negated, after interchanging them.

So, we have:

Contrapositive of a conditional ⇒ Formed by exchanging the hypothesis and the conclusion and negating both of them.

To get the converse of a conditional, we simply interchange the hypothesis and the conclusion, without negating them

So, we have:

Converse of a conditional ⇒ A statement formed by interchanging the hypothesis and the conclusion in a conditional statement.

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Answer:

The answer is Convers because it literally takes the hypothesis and the conclusion and interchanges them.

Step-by-step explanation:

A coin toss is used to determine which team will receive the ball at the beginning of a football game. The Cougars always choose tails in the toss. What are the odds in favor of the Cougars losing the toss in exactly two of three games?
3:5
3:8
5:3
8:3

Answers

The odds in favor of the Cougars losing the toss in exactly two of three games is 3:8 option second is correct.

What is probability?

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

We have:

A coin toss is used to determine which team will receive the ball at the beginning of a football game.

The Cougars always choose tails in the toss.

There will total of 8 cases and in 8 cases there will be three cases in which exactly two heads will come so,

3:8

The cases = {TTT, TTH, THT, HTT, HHT, HTH, HHT, HHH}

Thus, the odds in favor of the Cougars losing the toss in exactly two of three games is 3:8 option second is correct.

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HELP ME PLEASE AND JUST GIVE ME THE ANSWER NO EXPLANATION

Answers

The missing end of the line segment [tex]\overline {GH}[/tex] whose midpoint is M(x, y) = (5, 3) and known endpoint is G(x, y) = (1, -5) is the point H(x, y) = (9, 11).

How to locate the missing end of a line segment

In this question we know an end and a midpoint of a line segment. The missing end can be found from the following formula:

M(x, y) = G(x, y) + 0.5 · [H(x, y) - G(x, y)]

M(x, y) = 0.5 · G(x, y) + 0.5 · H(x, y)

0.5 · H(x, y) = M(x, y) - 0.5 · G(x, y)

H(x, y) = 2 · M(x, y) - G(x, y)     (1)

If we know that M(x, y) = (5, 3) and G(x, y) = (1, -5), then the coordinates of the point H are:

H(x, y) = 2 · (5, 3) - (1, -5)

H(x, y) = (10, 6) - (1, -5)

H(x, y) = (9, 11)

The missing end of the line segment [tex]\overline {GH}[/tex] whose midpoint is M(x, y) = (5, 3) and known endpoint is G(x, y) = (1, -5) is the point H(x, y) = (9, 11).

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Answer:

its A

Step-by-step explanation:

"Systems of Linear Magic"
DIRECTIONS
You are given the following system of equations. Answer the questions
below using this system.
1st Equation: 4x + y = 7
2nd Equation: 2x + y = 11
1.) Solve the system of equations by using the elimination method.
2.) Following the steps described in the "How to Create a Magic Potion"
section on page 1, let's brew a magic potion! Answer the following
questions about your "magic potion"equation.
A.) What is the factor that you have multiplied the 2nd equation by?
C.) What is the magic potion equation you have created?
3.) Using your newly created "magic potion" equation along with the original
2nd equation, solve this new system of equations by using the elimination
method.
4.) Why do you think this "magic potion" method works mathematically to
give us the exact same solution? Use at least 2 complete sentences.

Answers

The solution of the system of equations are x = -2 and y = 15, the factor is 2 and 4 for the 1st and 2nd equation respectively.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have a system of equations:

1st Equation: 4x + y = 7

2nd Equation: 2x + y = 11

Subtract equation 2nd from 1st

(4x + y) - (2x + y) = 7 - 11

2x = -4

x = -2

Now in equation 1st multiply by 2 and in equation 2nd multiply by 4

8x + 2y = 14

8x + 4y = 44

Subtract:

-2y = -30

y = 15

The factor is 2 and 4 for the 1st and 2nd equation respectively.

Thus, the solution of the system of equations are x = -2 and y = 15, the factor is 2 and 4 for the 1st and 2nd equation respectively.

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What is the median of the data?

Answers

Answer:

The median is 3.

Step-by-step explanation:

Since, most of the values presented are 0-8 and median is the middle of any data set. It has to be 3.

The median is 3
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Work out the equation of line B. Give your answer in the form y = mx + c, where m and care integers or fractions in their simplest forms. Work out the equation of line B. Give your answer in the form y = mx + c , where m and care integers or fractions in their simplest forms .​

Answers

Answer:

y = -3x + 1

Step-by-step explanation:

the line crosses the y-axis at (0,1) then c = 1

The points (0,1) and (1,-2) lie on the line then

m = slope = [(-2)-1]÷(1-0) = [-3]÷(1) = -3÷1 = -3

Therefore,

The equation of the line is : y = -3x + 1

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