Solve: 6 − x = −12
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Answer: They are inverses of each other

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Explanation:

We need to check two things:

If both of those equations are true, then f and g are inverses of each other.

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Part 1

[tex]f(x) = -3x-12\\\\f(g(x)) = -3( g(x) )-12\\\\f(g(x)) = -3\left( \frac{-12-x}{3} \right)-12\\\\f(g(x)) = 12+x-12\\\\f(g(x)) = x\\\\[/tex]

So far, so good. Now we need to check the other equation mentioned.

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Part 2

[tex]g(x) = \frac{-12-x}{3}\\\\g(f(x)) = \frac{-12-( f(x) )}{3}\\\\g(f(x)) = \frac{-12-( -3x-12 )}{3}\\\\g(f(x)) = \frac{-12+3x+12}{3}\\\\g(f(x)) = \frac{3x}{3}\\\\g(f(x)) = x\\\\[/tex]

That works out as well. Both equations mentioned are true, which confirms the two original functions are inverses of one another.

Answer:

3/3 is a whole so I believe it would be the whole number line

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The value of x from the given expression is 5

Given the logarithm expression

According to the law of logarithm, if [tex]log_ab=c, \ hence \ b= a^c[/tex]

Applying this law to the given question, we can see that:

[tex](x-2)^{-6}=3^{-24}\\(x-2)^6=3^{24}\\(x-2)^6=3^6\\[/tex]

Cancel out the exponents to have:

x - 2  = 3

x = 2 + 3

x = 5

Hence the value of x is 5

Learn more on logarithm here; https://brainly.com/question/25710806

Answer:

165,625 bags of cocoa.

Step-by-step explanation:

One trailer = 625 bags of cocoa, and if you have 265 trailers it means you will have to multiply 625 by 265.

Answer:

6.2 meters

Step-by-step explanation:

1) area = l*w

74.4 = 12x

x=6.2

Answer:

4/10 and 16/40

Step-by-step explanation:

2/5 = 0.4(ZERO POINT FOUR NOT 0.04 ZERO POINT ZERO FOUR)

(numerator =2 x 2=4 ,denominator= 5 x 2= 10) this is how i got 4/10 (choose any number between 10 and 2 and multiply it by the denominator and numerator)

As well as 4/10  = 0.4

Also 16/40= 0.4

(Using our original fraction 2/5 we can multiply both the numerator and denominator by 8; numerator= 2 x 8 = 16  and denominator= 5 x 8 = 40

Since 4/10 and 16/40 are both equivalent to 0.4, they are equivalent fractions

(TO FIND THE DECIMAL OF THAT FRACTION DIVIDE THE NUMERATOR BY DENOMINATOR)

hope this helps, ;]

Answer: equation: y = 2.5x + 46

slope: 2.5

y intercept: 46

she will be 8 months old by the time she is 66 cm

Step-by-step explanation: the eqation is written in y= mx+b format, where m is the slope and b is the y intercept. You can solve the last part of the problem by using this equation and subbing 66 in for y.

y = 2.5x + 46

66 = 2.5x + 46

20 = 2.5x

8 = x

The domain of the graph is  [tex]-8<x\leq 9.5[/tex] while the range of the graph is [tex]-4\leq x<4[/tex].

For the graph, the domain will be the values of the graph along the x-axis.

Learn more on domain and range here: https://brainly.com/question/1942755

Answer:

*See below*

Step-by-step explanation:

Identify and Explain Error

The method shown is using fractions to compare costs. This strategy does not work due to the fact that they have not factored in the $55 he pays for the car before hand. Also, 150 divided by 0.5 does not equal 30, it equals 300 so, even if he did not pay $55 beforehand, the equation is still incorrect.

Correct Work/Solution

$55 to rent

$0.50 per mile

Let's start by removing $55 from $150 to see how many dollars is left over for gas.

150 - 55 = 95

Then, divide 95 by 0.5

95 ÷ 0.5 = 190

He can drive at least 190 miles.

Share Strategy

Since he starts off paying $55 dollars out of $150, we need to subtract $55 by $150 to see how much cash he has left over for mileage. $150 minus $55 equals $95 so, he has $95 left over for mileage. $95 will then be divided by $0.50 to find out how many miles he can drive. We are dividing by $0.50 because that's the cost per mile. $95 divided by $0.50 equals 190 so he can drive at least 190 miles.

Note:

Hope this helps :)

Have a great day!

Answer:

where is the triangle

Step-by-step explanation:

I don't no where is the triangle

Step-by-step explanation:

what is the problem ?

as indicated you only need to use the corresponding value as "x" in the formula and then just calculate the result.

g(-1) = 3 - 1/3 × -1 = 3 + 1/3 = 3 1/3 or 10/3 or 3.333...

g(0) = 3 - 1/3 × 0 = 3

g(4) = 3 - 1/3 × 4 = 3 - 4/3 = 9/3 - 4/3 = 5/3 or 1 2/3 or 1.66666...

Answer:

g(-1) = 3/2

g(0) = 3

g(4) = 1

Answer: its 45% for sure

Answer:

i believe 45%

Step-by-step explanation:

hope this helps! :D

have a miraculous day, and brainliest is immensely appreciated!! <3

The value of the missing length is 20

Let the missing length be x

From Parallel lines and transversal theorem, we have that

If three or more parallel lines intersect two transversals, then they cut off the transversals proportionally.

Then, we can write that

[tex]\frac{x}{15} =\frac{16}{12}[/tex]

∴ [tex]x = \frac{15\times 16}{12}[/tex]

x = 20

Hence, the value of the missing length is 20

Learn more here: https://brainly.com/question/24258397

Answer:

Irrational

Step-by-step explanation:

The number is irrational because when you convert it to decimal form, you get 276.4601... a repeating decimal that goes on and on.

Answer:

Step-by-step explanation:

π is irrational and 88 is rational number.

The product of the two is irrational.

Answer:

To round to the nearest 10,000, you look at the number immediately to the right. If this number is 5 or above, you add 1 to the column in question and zero all numbers to the right. If the number immediately to the right is 4 or less, you just zero all numbers to the right.

In this case, the 10,000 column is the column with the 1. The number immediately to the right is 2. This is 4 or less, so we set all numbers to the right of the 10,000 column to zero.

I get 10,000

Step-by-step explanation:

Answer:

From the list the multiple of 3 is 24

Answer:

D) f(3) = 54

Step-by-step explanation:

f(3) = 2 x 3^3

f(3) = 2 x 27

f(3) = 54

Hope this helps! Pls give brainliest!

Answer:

D

Step-by-step explanation:

first you need to do the exponent and you substitute the 3 in for ex

so 3^3=27

then you multiply it by 2 to get 54

Answer:

511 / 1000

Step-by-step explanation:

0.511 = 511 / 1000

Answer:

Step-by-step explanation:

Steps to convert 0.511 into a fraction:  

Write 0.511 as 0.511/1

For each digit following the decimal point, multiply both the numerator and denominator by ten:

0.511/1

As an aside, the entire number-integral section is: blank.

The decimal component is as follows: 0.511 = 511/1000

The following is the complete breakdown of simple fractions: 511/1000

Answe

i think it's 9

Step-by-step explanation:

316 fỉst number is 3 +2 =5

459 first number is 4+2=6

2+2=4

7+2=9:)))

Answer:

30 to 75, 30/75, 30:75

Step-by-step explanation:

Answer: your answer is A) & D)

Step-by-step explanation:     Hope this helps :)

Answer:

A) (-5,10), (0,15), (5,10)

Step-by-step explanation:

In order for an ordered pair to be a function, no pair of coordinates can have the same x variable.