solve for x in : 5^{2x-1} =12^{x}

Answer:

(x - 2)(x + 1)(2x -1)

Step-by-step explanation:

We use synthetic division as a tool for factoring the given expression.  The coefficients of the terms given are {2, -3, -3, 2}.  If x - 2 is a factor of this expression, then 2 is a root.  We perform synthetic division as follows:

2   /    2     -3      -3     2

                  4       2     -2

    -------------------------------

          2      1        -1      0

Next, we determine whether or not (2x - 1)(x + 1) represents the remaining factor(s).  Using -1 as divisor, we get:

-1    /     2     1     -1

                   -2    1

     ---------------------

             2     -1     0

Since the remainder is zero, x + 1 must be a factor and (2x - 1) the third factor.  Answer D is correct.

The solution is, (x - 2)(x + 1)(2x -1), is the expression represents the other factor, or factors, of the polynomial.

Polynomials are sums of k-xⁿ terms, where k can be any number and n can be any positive integer.

here, we have,

We use synthetic division as a tool for factoring the given expression.  The coefficients of the terms given are {2, -3, -3, 2}.  If x - 2 is a factor of this expression, then 2 is a root.  We perform synthetic division as follows:

2   /    2     -3      -3     2

                 4       2     -2

   -------------------------------

         2      1        -1      0

Next, we determine whether or not (2x - 1)(x + 1) represents the remaining factor(s).  Using -1 as divisor, we get:

-1    /     2     1     -1

                  -2    1

    ---------------------

            2     -1     0

Since the remainder is zero, x + 1 must be a factor and (2x - 1) the third factor.  Answer D is correct.

Hence, The solution is, (x - 2)(x + 1)(2x -1), is the expression represents the other factor, or factors, of the polynomial.

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Answer:

Horizontal

Step-by-step explanation:

Answer:

Y=7 is a horizontal line :)

Step-by-step explanation:

(The equation can be written as y=0x+7 ). Thus, y will always be 7 , creating a horizontal line.

Answer:

(-1,-1)

Step-by-step explanation:

Midpoint equation: [tex](\frac{x_2+x_1}{2}, \frac{y_2+y_1}{2})[/tex]

= [tex](\frac{-5/2+1/2}{2},\frac{-1/2-3/2}{2} )[/tex]

= [tex](\frac{-2}{2},\frac{-2}{2})[/tex]

=(-1,-1)

Use the formula and plug it in :)

Answer:

6

Step-by-step explanation:

Just write the amount of milk cartons and juice cartons as a fraction and simplify it

39/18 the biggest common divisor for this is 3 so we divide the fraction by 3

13/6 x = 6

Answer:

t = 10h +25

Step-by-step explanation:

let x be the one-time fee

hourly rate is $10

From given condition,

35 = x + 10*1

x = 35 - 10

x = 25

Therefore equation will be

t = 10h +25

Answer:

0 1.4 is the answer

Step-by-step explanation:

well if you round thats why

Answer:

71.4

Step-by-step explanation:

Looked it up

Answer:

the first one is D, the second is B, hope this helps

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Mavi kalemlerin sayısına x diyoruz

Kutudaki kalemlerin sayısı mavi kalemlerin sayısından 48 fazlaymış yani x+48 kutudaki kalemlerdir.

Kutudaki kalemlerin sayısı mavi kalem sayısının 9 katı ise x+48=9x olur

Şimdi denklemi çözmemiz lazım sol taraftaki x sağ tarafa - x olarak geçer sağ tarafda 8x kalır yeni denklemimiz 48=8x olur

Her iki tarafı da bilinmeyenin yanındaki sayıya böleriz bunun sonucu da 6=x çıkar

Mavi kalemlere de x demiştik yani 6 adet mavi kalem vardır.

Answer:

x = 135

Step-by-step explanation:

The angles at the bottom are right angles (90°)

The sum of interior angles in this rectangle is equal to 720°

Find the sum of interior angles

4x + 180 = 720 subtract 180 from both sides

4x = 540 divide both sides by 4

x = 135 this is also giving us the measure of missing angles.

Step-by-step explanation:

above guy is right. i donot about this.sorry and thanks.

Answer:

Digital electronics.

Analogue electronics.

Microelectronics.

Circuit design.

Step-by-step explanation:

Answer:

The answer is the first one: y=3x+1

Step-by-step explanation:

For this question, you have to substitute different values of x and y in the table into the equation shown below the table.

y = 3x + 1

Sub x=4 and y=13

13 = 3(4) + 1

13 = 12 + 1

13 = 13

Sub x=2 and y=7

7 = 3(2) + 1

7 = 6 + 1

7 = 7

Sub x=0 and y=1

1 = 3(0) + 1

1 = 0 + 1

1 = 1

Sub x=-2 and y=-5

-5 = 3(-2) + 1

-5 = -6 + 1

-5 = -5

Hope it helps :)

Answer:

C.15 km/h

Step-by-step explanation:

speed= distance/time

Answer:

7/12

Step-by-step explanation:

You need to get -7 to be a positive number so that its zero

-7+7=0

Then just add the denominator!!!

0/12=0

I hope this helps!!!!

Answer:

Step-by-step explanation:

Yes, she does

Answer:

Yes, she does

Step-by-step explanation:

Answer:

one direction

Step-by-step explanation:

of course one direction

Answer:

Y=MX+C is the equations of a straight line where C is the constant (y intercept)

Looking at a and b and the two graphs c and d

The function c represents the lowest value of the y intercept which is at -3

Answer:

sumando

Step-by-step explanation:

sumando 240 134800 veces

Answer:

g(-4) = 1  g(5) = -3

Step-by-step explanation:

Step 1: Recognize this is in function notation

In funcion notation what is in the brackets are the x coordinates of the point

Step 2: Solve

We see the first one is g(-4) so we head to the left side of the x-axis and look for a point on the line that has the x value of -4.  We see that at x = -4 y is equal to 1 so g(-4) is equal to 1

Next we take a look at g(5) so we look at the right side of the x-axis and see that the line crosses x=5 at y=-3 so the value of g(5) is -3

Answer:

Not very many due to the fact that new york is more then just a busy place.

Step-by-step explanation:

Hope this helps Sorry if not

Answer:

P(-6)

Step-by-step explanation:

1.P (-6) 2. Q (-2) 3. R (1) 4. S (5)

The absolute value of a number disregards ir removed the negative sign from the number and treats as positive.

The absolute value of the numbers given in the option above :

P(-6) = |6|

Q(-2) = |2|

R(1) = |1|

S(5) = |5|

Hence, the option which has the greatest absolute value when arranged on a number line is |6|

Answer:

The answer of the question is 6(5x+4)=3(10x+7)

Answer:

Red paint needed = x = 17.5 ounces

Step-by-step explanation:

Ratio of red to blue paint = 5 ounces : 6 ounces

If she has 21 ounces of blue paint, how much red paint will she need?

Ratio of red to blue paint = x ounces : 21 ounces

Equate the ratios

5 : 6 = x : 21

5/6 = x/21

Cross multiply

5*21 = 6*x

105 = 6x

x = 105/6

x = 17.5 ounces

Red paint needed = x = 17.5 ounces

Answe

7

Step-by-step explanation:

204 dived by 3.5

i did 204 dived by 60 then

420 dived by 60

The time taken by the family to reach is T = 7 hours

Speed is defined as the rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude

Speed = Distance / Time

Given data ,

Let the speed be represented as S

Now , the value of S is

S = D / T

speed = distance / time = 204 miles / 3.4 hours = 60 miles per hour

where , the distance D = 420 miles

And , T = 420 / 60

T = 7 hours

Hence , the time taken for 420 miles is 7 hours

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Step-by-step explanation:

3b-3=3(b-1)

3.5+4=7,5

Answer:

8a2-8b2+7ab

Step-by-step explanation:

Putting together all of the a2 gets you to 8a2

Putting together all of the b2 gets you to -8b2

Putting together all of the ab gets you to 7ab

Answer:

y = 1

Step-by-step explanation:

Substitute -10 for x so the equation would be y=2/5-10-3

that would then be y=4-3

which would equal 1