Simplify the algebraic expression. 4(x - 3) + 2(x + 5)​

9514 1404 393

Answer:

  { (-441/23, 433/23) }

Step-by-step explanation:

The "cross-multiplication method" is usually shown as follows:

1. rewrite the equations in general form: ax +by +c = 0

2. write the coefficients in two row in the order b, c, a, b.

3. form three products, each being the number in the first row times the number to its right in the second row. That is, b1·c2, c1·a2, a1·b2

4. form three more products, each being the number in the second row times the number to its right in the first row. That is, b2·c1, c2·a1, a2·b1

5. form three differences, subtracting the products of step 4 from those of step 3. Call these differences d1, d2, d3. (For example, d1=b1c2-b2c1.)

6. The values of x and y satisfy the equations ...

  x/d1 = y/d2 = 1/d3

which is to say, ...

  x = d1/d3, and y = d2/d3

_____

For your equations, we can rewrite them as ...

Then our rows of coefficients are ...

  [tex]\begin{array}{cccc}12&-15&11&12\\11&23&12&11\end{array}[/tex]

And our differences are ...

  d1 = 12(23) -11(-15) = 441

  d2 = -15(12) -23(11) = -433

  d3 = 11(11) -12(12) = -23

The relations between x and y are ...

  x/441 = y/-433 = 1/-23

so, x = -441/23 and y = 433/23

The solution set is one ordered pair: { (-441/23, 433/23) }.

_____

Additional comments

The final solution is identical to the formula arrived at using Cramer's Rule. Calling this the "cross-multiplication method" avoids any discussion of matrices and determinants.

Answer:  32 joules per second.   That is equivalent to 32 Watts

Step-by-step explanation:

Divide units by time .   6080/190 = 32

1 joule per second is one watt.

Answer:

x = 9

Step-by-step explanation:

2(x + 5) = 3x + 1

open the parenthesis

2x + 10 = 3x + 1

subtract 2x from both sides of the equation

2x - 2x + 10 = 3x - 2x + 1

10 = x + 1

subtract 1 from both sides of the equation

9 = x

Answer:

Step-by-step explanation:

Substitute

2x+10=3x+1

Subtract 3x to other side

-x+10=1

Subtract 10

-x=-9

divide -1 both sides

x= 9

Answer:

25 miles per gallon

Step-by-step explanation:

hope that's what you were looking for

Answer:

2.2

Step-by-step explanation:

5.6-9.4=15.0

so you subtract 12.8 from 15.0 which gives you the answer 2.2 so your answer is 2.2

Answer:

19 degrees

Step-by-step explanation:

Answer:

Thank you ☺️☺️

Answer:

the interest is about 29.78.

Step-by-step explanation:

assuming It is at 9% per year,

6150*0.09*25/31/12=

553.5*0.08065/15=

553.5*0.0538=

29.7783 which is about 29.78

Answer:

1. <I and <J are vertical angles

2. <G and <H form supplemantary angles

3. <G and <C are corresponding angles

4.  <G and <F are alternate interiors

5. <I and <D are alternate exteriors

Substitute x with -1/2 and y with 1/2.

So the equation will look like this:

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

= -3/ -2.5 + 1/2

= -3/ -2

= 1.5

Therefore, the answer is 3/2 or 1.5.

Answer:

7x-50 = -16

Step-by-step explanation:

7x + 10 = 44

x = 34/7

7(34/7) - 50 = -16

Answer:

y - 7 = -4 ( x -2 )

Step-by-step explanation:

just use the given informations:

The base formula:

y - y(1) = m ( x -x(1) )

remember that "m" typically refers to the slope of a line

There is a given set of points on the line: (2, 7)

hence just plug in the numbers:

x(1) = 2

y(1) = 7

m = -4

and you get

y - 7 = -4 ( x -2 )

Y=-4(x-2)

hope it helps

Answer:

i. When the temperature is above [tex]616.712^{o}[/tex]F, it changes to gas.

ii. When the temperature is below [tex]-33.052^{o}[/tex]F, it changes to solid.

Step-by-step explanation:

Matter generally exists in either a solid, liquid or gaseous form. With each phase having a certain range of temperature.

Temperature scale of a given substance can be either in Celsius, Fahrenheit or Kelvin. And conversion from one scale to another can be achieved. Example, Celsius scale can be converted to Fahrenheit by:

F = [tex]\frac{9}{5}[/tex] θ + 32

where: F is the equivalent temperature in Fahrenheit, θ is the value of temperature in degree Celsius.

Given that: melting point of the substance = [tex]-36.14^{o}[/tex]C

⇒ F =  [tex]\frac{9}{5}[/tex] x [tex]-36.14^{o}[/tex] + 32

      = [tex]-33.052^{o}[/tex]F

The boiling point = [tex]324.84^{o}[/tex]C

F =  [tex]\frac{9}{5}[/tex] x  [tex]324.84^{o}[/tex] + 32

  = [tex]616.712^{o}[/tex]F

The melting point of the substance is [tex]-33.052^{o}[/tex]F, and boiling point is [tex]616.712^{o}[/tex]F.

Therefore, the range of temperatures for which the substance is not in a liquid state are:

i. When the temperature is above [tex]616.712^{o}[/tex]F, it changes to gas.

ii. When the temperature is below [tex]-33.052^{o}[/tex]F, it changes to solid.

Answer:

12-12=21

Step-by-step explanation:

i think it is that

Answer: 6.42 × 10^ − 8

Hope this helps!

The number 0.0000000642 in scientific notation is written as; 6.42 × 10^ − 8

The number is written in the form  [tex]a \times 10^b[/tex] where we have   [tex]1 \leq a < 10[/tex]

The number b shows the order, which is the most important figure for which scientific notation is used. It tells us how much order large or small a value is in powers of 10.

A Better readability due to compact representation , the value in terms of power of 10 is known, which helps in easy comparison of quantities differing by a large value.

Here The number 0.0000000642 in scientific notation is written as;

[tex]6.42 \times 10^{ -8}[/tex].

Learn more about scientific notation here:

https://brainly.com/question/3112062

#SPJ2

Answer:

Step-by-step explanation:

You'll need to learn the formula for the circumference of a circle.  If the radius is r, the circumference C is C = 2πr.  It appears that your teacher is using pi for the exact circumference and 3.14 for the approximate circumference.

The radius of the first circle is 5 in.  Thus, the exact circumference is

C = 2πr = 2π(5 in) = 10π in, and the approximate circumference is

C = 2(3.14)(5 in) = 31.4 in

Answer:

haha imagine math

Step-by-step explanation:

Answer: MD=ME

Step-by-step explanation:

Those are the only ones that are actually equal to eachother. Plus I hate you to the other person who didn’t answer the question but said “lol imagine math”

Answer:

72%

Step-by-step explanation:

Turn the denominator to 100.

So: 18/25 times 4 equals 72/100

72/100= 72%

*You turn the denominator into 100 because all percents are out of 100.*

Answer:

66 x+6

Step-by-step explanation:

Because you add from the x's then you go on from the hope this helped :) .

Answer:

D.

Step-by-step explanation:

Step-by-step explanation:

verbally

algebraically

numerically

graphically.

Answer:

$40.80 is the answer

Answer:

Its c

Step-by-step explanation:

Because the f(x)= 0  is on the x line

and -2, 1, or 3 only

Answer:

15

Step-by-step explanation:

Answer:1

Step-by-step explanation:

person credits

Answer: -3

Step-by-step explanation:because -3 looks like it is smaller, but when a number is negative, the smaller the number, the greater the value actually is.

Answer:

=5x

Step-by-step explanation:

Answer:

x=1

Step-by-step explanation:

3x+2x=5x

5x÷5 x=1

this is the right answer

Answer:

Its positive becuse both signs get multiplied.

Step-by-step explanation:

PLease mark me brainliest