Jiiiii
Nunnujjjggynhhhhhhhhhhhh

The order of the steps to solve the provided logarithmic equation is arranged as,

[tex](x^2 - 15) =(2x)[/tex]

[tex]x^2 +2x-15=0[/tex]

[tex](x-5)(x+3)=0[/tex]

[tex]x-5=0,x+3=0[/tex]

Potential solution are -3 and 5.

The exponent of the log rule says that the raising a logarithm with a number to its base is equal to the number.

When the base is common ion equality equation, then the two log values can be compares using exponent rule of logarithm.

The given logarithmic equation in the problem is,

[tex]\log(x^2 - 15) = \log(2x)[/tex]

The order of solution of the above expression,

As the base is common, then the two log values can be compares using  exponent rule of logarithm.

[tex](x^2 - 15) =(2x)[/tex]

Bring all the terms, one side of the expression as,

[tex]x^2 +2x-15=0[/tex]

Find the factors of the above quadratic equation using the split the middle term method as,

[tex]x^2 -5x+3x-15=0\\x(x-5)+3(x-5)=0\\(x-5)(x+3)=0[/tex]

Equate the factors to the zero to find out the values of x,

[tex]x-5=0,x+3=0[/tex]

The potential solution are,

[tex]x=5,-3[/tex]

Thus, the order of the steps to solve the provided logarithmic equation is arranged as,

[tex](x^2 - 15) =(2x)[/tex]

[tex]x^2 +2x-15=0[/tex]

[tex](x-5)(x+3)=0[/tex]

[tex]x-5=0,x+3=0[/tex]

Potential solution are -3 and 5.

Learn more about the rules of logarithmic function here;

https://brainly.com/question/13473114

Answer:

FOR PLATO USERS

The answer is D. g(x) = f(1/2x)

Step-by-step explanation:

A graph with f(x) = x^2 starts at point zero, just like the picture shown below, so we can only predict that the new function was stretched horizontally. The parent function, f(x) = x^2, has the following points

[tex]\left[\begin{array}{ccc}x&&y\\1&&1\\2&&4\end{array}\right][/tex]

terrible table i know (pretend its a table chart) but these are the points of a normal f(x) graph. The points of the NEW graph is:

[tex]\left[\begin{array}{ccc}x&&y\\2&&1\\4&&4\end{array}\right][/tex]

It appears that the x values in the parent function table are half of the x values in the new graph table. So, the new function would be

[tex]g(x)=f(\frac{1}{2} x)[/tex]

#platolivesmatter

Answer:

(i just use app sorry if I'm wrong)

Solution:

Note that:

Find the speed of her bike of both the days and compare.

This means that:

Hence, the day after Monday is the day, she rode her bike faster than on Monday.

Answer:

The next day

Step-by-step explanation:

she covered 8 miles in 1 hour on Monday but on tuesday she covered 9 miles in 1 hour so she biked faster the next day.

Answer:

g.c.f = 3g²

Step-by-step explanation:

Breakdown:

3g² → 3 * g * g

9g³ → 3 * 3 * g * g * g

Therefore the gcf is 3g²

c)29.75

Step-by-step explanation:

sin 24° =12.1/x

x= 12.1/sin24

x=29.75

Answer:

okay so anna bakes 333 batches of whatever amount of cookies but she be bakin a ton of cookies. Like we got a whole walmart filled with anna cookies.

so we are going to make this into an expression by saying 333n-888

okay so because anna is chronically obese, she eats 888 cookies. this means we subtract 888 cookies from 333(some number) amount of cookies.

your answer?

333n - 888

you can thank me later. Good luck.

Answer:

3c-8

Step-by-step explanation:

khan

Answer:

228

Explain your answer:

Answer:

A = 228 ft²

Step-by-step explanation:

The area (A) of a trapezoid is calculated as

A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )

where h is the height and b₁, b₂ the parallel bases

here h = 12 and b₁ = 14, b₂ = 24 , then

A = [tex]\frac{1}{2}[/tex] × 12 × (14 + 24) = 6 × 38 = 228 ft²

Answer: 9 units

Step-by-step explanation:

If you draw this one out, you should be able to notice that it is only a vertical distance it travels, which means that the difference in y-units should give you the distance.

Answer:

$1620

Step-by-step explanation:

The area of the lawn is a trapezoid.

Area of a trapezoid = [tex]\dfrac12(a+b)h[/tex]

where a and b are the parallel sides (bases) and h is the height

Therefore,

[tex]area=\dfrac12(15+12) \times 10 = 135 \ m^2[/tex]

If the price of sod is $12 per square meter, then

total cost = 135 x 12 = $1620

Answer:

Area:-

[tex]\\ \tt\hookrightarrow \dfrac{1}{2}(15+12)\times 10=1/2(27)(10)=13.5(10)=135m^2[/tex]

Now rate of cost is $12

Answer:

56%

Step-by-step explanation:

This is percentage increase and its calculated with the formula:

C2 =     x2 - x1      x 100

              x1                1

where x2 = final value  (75 inches)

        x1  = initial value  (48 inches)

       c2 = relative value

pecentage increase = 100

   so we say,       75 - 48  x   100

                                48          1

27    x    100

48                          =  o.5625 x 100  = 56.25%.

approximated to the nearest percent becomes 56%

Answer:

the explanation is in the diagram

if you noticed I multiplied the second equation all through by minus so the positive 9 turned negative when multiplied by minus so negative 14 + negative 9 gives negative 23

Step-by-step explanation:

32-2y=22

y=5 because 32 minus 10 is 22 and 2y is 10

7x + 3y= 105

same as

7x + 15 = 105

7x = 90

X = 90/7

X = 12.8571429

X+y= 17.8571429

brainliest?

Answer:

[tex]\sqrt{51}[/tex] or 7.14

Step-by-step explanation:

Using the Pythagoras theorem, we can conclude the formula that we are going to use here is [tex]a^{2}+b^{2} = c^{2}[/tex]

As we can see, this is a right triangle given that it has the square in the corner there. With this information, we can conclude that the longest side is 10, making it the hypotenuse or [tex]c[/tex]

Now we need to find [tex]b[/tex] in the formula of [tex]a^{2}+b^{2} = c^{2}[/tex] making the equation [tex]b^{2} = c^{2} - a^{2}[/tex] or [tex]b = \sqrt{ c^{2} - a^{2}}[/tex]

Given the provided information, this would be [tex]b^{2} = 10^{2} - 7^{2}[/tex] or [tex]b = \sqrt{ 10^{2} - 7^{2}}[/tex]

Simplifying it would be [tex]b = \sqrt{ 100-49[/tex] = [tex]\sqrt{51}[/tex]

The radical form would be [tex]\sqrt{51}[/tex]

While it's integer would be 7.14

Hope this helps!

Answer:

Step-by-step explanation:

Use Pythagorean theorem,

Let the third side =x

base² + altitude² = hypotenuse²

7² + x² = 10²

49 + x² = 100

       x² = 100 - 49

      x² = 51

     x = √51

Answer:

D.

Step-by-step explanation:

Use the TOA from SOH CAH TOA.

Your tan(C) is opposite (12) divided by adjacent (5).

Answer:

Step-by-step explanation:

The constant is 6

Hope this helps!

Answer:

5

Step-by-step explanation:

The distance formula is:

[tex]d = \sqrt {\left( {x_2 - x_1} \right)^2 + \left( {y_2 - y_1} \right)^2 }[/tex]

We can plug in the given coordinates into the equation:

[tex]d = \sqrt {\left( {4 - 9} \right)^2 + \left( {-3 - (-3)} \right)^2 }\\d = \sqrt {\left( {-5} \right)^2 + \left( {-3+3} \right)^2 }\\d = \sqrt{25 + \left( {0} \right)^2 }\\d=\sqrt{25+0}\\d=\sqrt{25}\\d=5[/tex]

1)

y = x + 4

5x + 3y = -4

5x + 3(x + 4) = -4

5x + 3x + 12 = -4

8x + 12 = -4

8x = -4 -12

8x = -16

x = -2

substitute x into the equation

y = -2 + 4

y = 2

Answers : x = -2 , y = 2

Answer:

1) [tex]{y,x}={2,-2}[/tex]

2) [tex]{y,x} = {-4,-2}[/tex]

Step-by-step explanation:

1) [tex]y=x+4 \\ 5x+3y=-4[/tex] <---------- given linear equations

Equations Simplified or Rearranged :

[tex]y - x = 4 \\3y + 5x = -4[/tex]

Graphic Representation of the Equations : PICTURE #1

[tex]x + y = 4 \\5x + 3y = -4[/tex]

Solve by Substitution :

// Solve equation [1] for the variable  y

[tex][1] y = x + 4[/tex]

// Plug this in for variable  y  in equation [2]

[tex]3*(x +4) + 5x = -4 \\ [2] 8x = -16[/tex]

// Solve equation [2] for the variable  x

[tex]8x = - 16 x = - 2[/tex]

// By now we know this much :

[tex]y = x+4\\ x = -2[/tex]

// Use the  x  value to solve for  y

[tex]y = (-2)+4 = 2[/tex]

Solution :

[tex]{y,x} = {2,-2}[/tex]

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

2) [tex]y=2x \\-8x-2y=24[/tex] <----- linear equations given

Equations Simplified or Rearranged :

[tex]y - 2x = 0 \\ -2y - 8x = 24[/tex]

Graphic Representation of the Equations : PICTURE #2

[tex]-2x + y = 0 \\\\-8x - 2y = 24[/tex]

Solve by Substitution :

// Solve equation [1] for the variable  y

[tex][1] y = 2x[/tex]

// Plug this in for variable  y  in equation [2]

[tex][2] -2*(2x) - 8x = 24\\ [2] - 12x = 24[/tex]

// Solve equation [2] for the variable  x

[tex][2] 12x = - 24 [2] x = - 2[/tex]

// By now we know this much :

[tex]y = 2x \\ x = -2[/tex]

// Use the  x  value to solve for  y

[tex]y = 2(-2) = -4[/tex]

Solution :

[tex]{y,x} = {-4,-2}[/tex]

Answer:

graph

Step-by-step explanation:

You would start at -2 then you would go down 3 and right 1, and then you keep doing it until you have no more graph.

Answer:

A,B,D

Step-by-step explanation:

case A) If the price is marked down by  percent, the new price will be

we know that

If the price is marked down by 10  percent

then the new price will be

10%= 10/100=0.10

(1 - 0.10) *$28= 0.90 * $28

=$25.20

therefore The statement case A) is True

case B) If the price is marked down by 25 percent, the new price will be $21

we know that

If the price is marked down by 25 percent

then the new price will be

25%=25/100=0.25

(1-0.25)* $28=0.75*$28

=$21

therefore The statement case B) is True

case C) If the price is marked down by 50 percent, the new price will be $19 we know that

If the price is marked down by 50 percent

then the new price will be

50%=50/100=0.50

(1-0.50)*$28= 0.50*$28

=14

therefore The statement case C) is False

case D) If the price is marked down by  35 percent, the new price will be $18.20

we know that

If the price is marked down by 35 percent

then the new price will be

35%= 35/100=0.35

(1-0.35)* $28=0.65*$28

=18.20

therefore The statement case D) is True

case E) If the price is marked down by 40 percent, the new price will be $29.80 we know that

If the price is marked down by 40 percent

then the new price will be

40%=40/100=0.40

(1-0.40)*$28= 0.60*$28

=$16.80

therefore The statement case E) is False

Answer:

[tex]\left[\begin{array}{cc}-0.2&0.4\\0.8&-0.6\end{array}\right][/tex]

Step-by-step explanation:

[tex]\left[\begin{array}{cc}3&2\\4&1\end{array}\right] ^{-1} =\frac{1}{3*1-2*4} \left[\begin{array}{cc}1&-2\\-4&3\end{array}\right]=(-0.2)*\left[\begin{array}{cc}1&-2\\-4&3\end{array}\right]=\left[\begin{array}{cc}-0.2&0.4\\0.8&-0.6\end{array}\right]\\[/tex]

Answer:

x⁴-3

Step-by-step explanation:

A= L * W

9x⁵-27x = 9x * L

9x(x⁴-3)= 9x * L

L = [9x(x⁴-3)] / 9x

L= x⁴ -3

Answer/Step-by-step explanation:

[1] [tex]3rs = 3 * r *s[/tex]

[2] [tex]12xy = 2*2*3*x*y[/tex]

[3] [tex]5x^2=5*x*x[/tex]              

[4] [tex]36x^2=2*2*3*3*x*x[/tex]

[5] [tex]25^2=5*5*x*x[/tex]

[6] [tex]30x^2=2*3*5*x*x[/tex]

[7] [tex]5x^3=5*x*x*x[/tex]

[8] [tex]24y^3=2*2*2*3*y*y*y[/tex]

[9] [tex]9xy=3*3*x*y[/tex]

[10] [tex]12x^4=2*2*3*x*x*x*x[/tex]

Factoring means to factor a number means to break it up into numbers that can be multiplied together to get the original number.

[tex][RevyBreeze][/tex]

Answer:

[1] 3*r*s

[2] 12ry=2*2*x*y

[3]  5x2=5*x*x            

[4] 36x2=2*2*3*3*x*x

(5] 252=5*5*x*x

[6] 30x2=2*3*5*x*x

[7] 5x3=5*x*x*x

[8] 24y3=2*2*2*3*y*y*y

[9]9xy=3*3*x*y

[10] 12x4= 2*2*3*x*x*x*x

Step-by-step explanation:

Answer:

See below.

Step-by-step explanation:

45/0.5 can also be written as 45*2.

So, 45/0.5 is 90.

-hope it helps

Answer:

2850

Step-by-step explanation:

Answer:

y = 3x + 60

Step-by-step explanation:

Scale drawings are used to draw shapes in a different proportional size

The scale used in the drawing is 17 centimeters : 9 meters

From the question, we have:

So, the scale is:

Scale =  Scale length : Real length

This gives

Scale =  102 centimeters : 54 meters

Reduce the scale

Scale =  17 centimeters : 9 meters

Hence, the scale used in the drawing is 17 centimeters : 9 meters

Read more about scale drawings at:

https://brainly.com/question/24579126

Answer: The answer is 9 meters.

a data is a collection of numbers gathered to give some meaningful information

Answer:

[tex]data[/tex]

is the correct answer and have a great day bye

Step-by-step explanation:

[tex]kai6417[/tex]

Answer: 9

Step-by-step explanation: Root 18 can be broken down into root ( 9 times 2). 9 is a square root & can be taken out as its root. Root 18 equals 3 times root 2. Multiple both 12/root & 3 root 2 by root 2. Leaves 12 + 3 times 2 or 18. Now gotta take that root 2 we multiplied by back out. Break 18 into its parts, 9 times 2. Divide the 2 by root 2, gives you root 2. So 9 times root 2. Don't have to divide 9 as well, because they all the same type of operation, multiplication/division, no adding.

True.

[tex]10^{10}[/tex] = 10,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000.

      Its a factor which can be written in short and simplified form.