How do you show that x=6 is an true equation ?

Answer:

G^−1(x)=3√x+1+1      

Step-by-step explanation:

Answer:

[tex]g^{-1}(x)[/tex]= [tex]\sqrt[3]{x+1}[/tex]+1

Step-by-step explanation:

To find the inverse, swap x and y.

g(x)=(x-1)^3-1

-> x=(y-1)^3-1

Solve the equation in terms of y.

x=(y-1)^3-1

x+1=(y-1)^3

[tex]\sqrt[3]{x+1}[/tex]=y-1

[tex]\sqrt[3]{x+1}[/tex]+1=y

Answer:

Step-by-step explanation:

The standard form of an equation for a straight line is y=mx+b, where m is the slope and b is the y-intercept (the value of y when x = 0).

We can calculate the slope from the two given points, (6,-3) and (-6,-5).  Slope is Rise/Run, where Rise is the change in y and Run is the change in x.

From the two given points, starting at (-6,-5) and going to (6,-3):

Rise = (-3 - (-5)) = +2

Run = (6 - (-6)) = 12

Rise/Run (slope) = 2/12 or 1/6

The equation becomes y = (1/6)x + b

We can find b by enterieng either of the two given points and solving for b.  I'll pick (6,-3):

y = (1/6)x + b

-3 = (1/6)*(6) + b

-3 = 1 + b             [Now you can see why I chose (6,-3)]

b = -4

The equation is y = (1/6)x - 4

Check this with a DESMOS graph (attached).

Answer:

See below:

Step-by-step explanation:

Hello! I hope you are having a nice day.

We can solve the problem in 2 steps, one being Solving, and the second being Comprehending. I'll start with comprehending.

Comprehending

We can start by analyzing the problem and creating an equation to then begin solving.

So, we know that a number, which we will call [tex]x[/tex] has a discount of 10% to get the current price of $810. We know that when there is a discount, we need to find what the 10 percent is then add it to the current price;$810.

We can create a formula and steps by doing the following:

[tex]x*0.9=810[/tex]

We have 0.9 as there is a 10% discount (0.1) and we subtract 1.00 by 0.1 to get 0.9. (Which is 90%).

This states that 90% of a number is equal to 810.

Now that we have an equation, we can begin solving.

Solving

We can solve the problem by using basic algebra.

[tex]x*0.9=810\\x*\frac{9}{10}=810\\x=(810*10)\div 9\\x=8100 \div 9\\x=900[/tex]

On step 1, we convert the decimal to a fraction for easy simplification/solving.

On step 2, we split the fraction into two and since we're dividing, we can flip the fraction and multiply by 10 and divide by 9.

On step 3, we use basic algebra and after step 4 we get our answer.

We can double check out answer by doing the following:

[tex]900-(900*0.10)=810?\\900-90=810?\\810=810[/tex]

We have checked our answer and gotten our answer of $900.

Cheers!

Answer:

96.90

Step-by-step explanation:

I = PRT

T = 6

P = 850

I = 1.9% = 0.019

I = (850)(0.019)(6) = 96.90 <==

Answer:

The answer will be ( x = 10)

Answer: D does not represent a function.

Step-by-step explanation: I hope this helps you out.

Answer:

$

2.70

Step-by-step explanation:

Answer:

4-5 ounces or 113-142 grams

Step-by-step explanation:

Answer:

Slope = - ⅖

Y-intercept = (0, 4), where b = 4

Step-by-step explanation:

Given the linear equation in standard form, 2x + 5y = 20, where A = 2, B = 5, and C = 20:

Start by transforming the standard equation into its slope-intercept form, y = mx + b, where m = slope, and b = y-intercept.

Subtract 2x from both sides:

2x -2x + 5y = - 2x + 20

5y = -2x + 20

Divide both sides by 5 to isolate y:

[tex]\frac{5y}{5} = \frac{-2x + 20}{5}[/tex]

y = - ⅖x + 4 ⇒ This is the slope-intercept form where the slope, m = -⅖, and the y-intercept, b = 4.  The y-intercept is the point on the graph where it crosses the y-axis, and has coordinates of (0, b). The y-coordinate is the value of b in the slope-intercept form. Therefore, the y-intercept is (0, 4).

Answer:

The bar for Spain is between 0 and 50 billion, but is slightly closer to 0 than to 50 so the value will be 20 billion dollars.

Answer:  68 miles per hour 2

204 miles/3 hours = 68 miles per hour

i hope this helps you ok :)

Answer:

68 Miles Per Hour

Step-by-step explanation:

[tex]\frac{204}{3} =68[/tex]

Answer:

4 better inbox

Step-by-step explanation:

Answer:

1st =  13

2nd = 21

3rd = 36

Step-by-step explanation:

Let the first number be

f

The second of three numbers is 8 more than the first,

f + 8

third number is 3 less than 3 times the first.

3f - 3

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

the third number is 15 more than the second,

3f - 3 = (f + 8) + 15

3f - 3 = f + 23

Subtract f from both sides

2f - 3 = 23

add 3 to both sides

2f = 26

Divide both sides by 2

f = 13

f + 8 = 13 + 8 = 21

3f - 3 = 3(13) - 3 = 36

Answer:

Excluding the monthly fee of $30 dollars.

Step-by-step explanation:

$30-$59.50 = $29.50

multiply $0.25 by 118 and you'll get exactly $29.50

the answer is " I sent 118 Text messages "

Answer: 40 teachers

Step-by-step explanation:

Do 1,200 Divided by 30 because thats the amount of students

Answer:

The discount is $18.

25 x 2 = 50

60 x 2 = 120

120 + 50 = 170

So they have travelled 170 miles apart from one another.

or 170 mi/h

Hi,

[tex] \frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d} [/tex]

[tex] \frac{2}{3} \times \frac{40}{1} = \frac{80}{3} [/tex]

2/3 of 40:

80/3

[tex] \frac{3}{5} \times \frac{45}{1} = \frac{135}{5} = 27[/tex]

3/5 of 45:

27

✅(. ❛ ᴗ ❛.)

Answer:

A= 26.67

B= 27

Step-by-step explanation:

2/3 x 40 = 26.67

(2×40= 80÷3 = 26.67)

and...

3/5 x 45 = 27

(3×45= 135÷5=27)

Hope this helped you- have a good day bro cya)

Answer:

Write the correct order of the letters to the finish line

[tex](n \times (12 + 18)) + 43 = 103[/tex]

[tex]30n + 43 = 103[/tex]

Subtract both sides 43

[tex]30n + 43 - 43 = 103 - 43[/tex]

[tex]30n = 60[/tex]

Divide both sides by 30

[tex] \frac{30n}{30} = \frac{60}{30} \\ [/tex]

[tex]n = 2[/tex]

Answer:

None of these are correct

Step-by-step explanation:

XZ = XY + YZ = 48 + 50 = 98

Answer:

Step-by-step explanation:

6x + 5 = 4x + 45

6x - 4x = 45 - 5

2x = 40

x = 20

6x + 5 = 6.20 + 5 = 125°

Answer:

x = 66

Step-by-step explanation:

Have a nice day

Answer:

A power of 10 is as many number 10s as indicated by the exponent multiplied together. ... Thus, shown in long form, a power of 10 is the number 1 followed by n zeros, where n is the exponent and is greater than 0; for example, 106 is written 1,000,000.

Step-by-step explanation:

Answer:

Power of 10, in mathematics, any of the whole-valued (integer) exponents of the number 10. A power of 10 is as many number 10s as indicated by the exponent multiplied together. ... When n is less than 0, the power of 10 is the number 1 n places after the decimal point; for example, 10−2 is written 0.01.

Step-by-step explanation:

Power of 10, in mathematics, any of the whole-valued (integer) exponents of the number 10. A power of 10 is as many number 10s as indicated by the exponent multiplied together. ... When n is less than 0, the power of 10 is the number 1 n places after the decimal point; for example, 10−2 is written 0.01.

Power of 10, in mathematics, any of the whole-valued (integer) exponents of the number 10. A power of 10 is as many number 10 sec as indicated by the exponent multiplied together. ... When n is less than 0, the power of 10 is the number 1 n places after the decimal point; for example, 10−2 is written 0.01.

Answer:

2, 2, 2.5, 3, 3.5

Step-by-step explanation:

Answer:

2, 2.5, 3, 3.5

Even thought there are two "2's", you only list one making it 2,2.5,3,3.5 instead of 2,2,2.5,3,3.5