Solve-2x - 7> 5x+14.
Ο A. * < -3
OB. x>-5
O C. x < -5
OD. x>-3

The expression used to verify whether g(x) is the inverse of f(x) is 6( [tex]\frac{x+1}{6}[/tex])-1  and  [tex]\frac{(6x-1)+1}{6}[/tex]

Given that f(x) = 6x-1

and g(x) = [tex]\frac{x+1}{6}[/tex]

If inverse [tex]f^{-1}[/tex] exists for a function f(x), then [tex]f(f^{-1}(x)) = f^{-1}(f(x)) = x[/tex]

So to check if g(x) is the inverse of f(x) we find f(g(x)) and g(f(x))

f(g(x)) = f( [tex]\frac{x+1}{6}[/tex]) = 6( [tex]\frac{x+1}{6}[/tex])-1 = x

and g(f(x)) = g(6x-1) = [tex]\frac{(6x-1)+1}{6}[/tex] = x

So g(x) is the inverse of f(x) and the expressions used to verify this are:

6( [tex]\frac{x+1}{6}[/tex])-1  and  [tex]\frac{(6x-1)+1}{6}[/tex]

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Answer:

Step-by-step explanation:

[-6, ∞)

-6 with bracket because open circle means not equal to.

positive ∞ because arrow shows x going forever.

What is the question?

If there is a 'b' variable, switch it out with 3, so ex; 8b would then be 8(3), or 8*3. Same thing with h. If there is an 'a' variable, then you have to get everything gone but the variable. If you send over the question I can help

Answer:

31 flowers in the bouquet

Suppose we have to solve this equation ,

3x - 4 = 7x + 8

would be to first subtract 3x from both sides obtaining

-4 = 4x + 8,

then subtract 8 from both sides and get

-12 = 4x.

Now divide both sides by 4 obtaining

- 3 = x or x = - 3.

If we have to find the area of trapezoid,

An equation is a mathematical statement that is made up of two expressions connected by an equal sign. For example, 3x – 5 = 16 is an equation. Solving this equation, we get the value of the variable x as x = 7.

There are three major forms of linear equations:

point-slope form, standard form, and slope-intercept form.

There are different parts of an equation which include coefficients, variables, operators, constants, terms, expressions, and an equal to sign. When we write an equation, it is mandatory to have an "=" sign, and terms on both sides. Both sides should be equal to each other.

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Answer:

y=3x-7

Step-by-step explanation:

Equation of a Line: y=mx + b

Slope: 3/1 or 3

Y-int: -7

The equation of a line is a form of representing the set of points, which form a line in a coordinate system. 

The equation of a line that passes through the point (1, -4) and (2, -1) is

y = 3x - 7

The equation of a line is a form of representing the set of points, which form a line in a coordinate system. 

The general equation of a straight line is given as:

y = mx + c,

where m = slope of the line and c = y-intercept.

We have,

Two points:

(1, -4) = (a, b) and (2, -1) = (c, d)

The equation of a line can be written in the form:

y = mx + c

Slope:

m = (d - b) / (c - a) = -1 + 4 / 2 - 1 = 3 / 1 = 3

y-intercept:

Take a point (1, -4).

-4 = 3x1 + c

-4 - 3 = c

c = -7

Now,

The equation of a line is y = 3x - 7

Thus the equation of a line that passes through the point (1, -4) and (2, -1) is

y = 3x - 7

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The graph has two lines and the lines are parallel lines.

Given that,

There is graph in the picture with 2 lines and 4 points.

The points are A=(0,6) and B=(8,0) of line 1.

The points are C=(-3,4) and D=(0,2) of line 2.

From the line 1 points A and B we can find the equation by using the slope equation formula.

Let take A=(0,6)=[tex](x_{1} ,y_{1} )[/tex] and B=(8,0)=[tex](x_{2} ,y_{2} )[/tex]

slope m= [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} } =\frac{0-6}{8-0}=\frac{-6}{8}=\frac{-3}{4}[/tex]

Now, To find the equation of the line the formula is

[tex]\frac{y -y_{1} }{y_{2} -y_{1} } =\frac{x -x_{1} }{x_{2} -x_{1} }\\\frac{y -6}{0 -6 } =\frac{x -0 }{8 -0 }\\\frac{y-6}{-6}=\frac{x}{8}\\ 8(y-6)=x(-6)\\ 8y-48=-6x\\6x+8y-48=0[/tex]

Therefore, the 1st line equation is [tex]6x+8y-48=0[/tex]

Let take C=(-3,4)=[tex](x_{1} ,y_{1} )[/tex] and D=(0,2)=[tex](x_{2} ,y_{2} )[/tex]

slope m= [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} } =\frac{2-4}{0-(-3)}=\frac{-2}{3}[/tex]

Now, To find the equation of the line the formula is

[tex]\frac{y -y_{1} }{y_{2} -y_{1} } =\frac{x -x_{1} }{x_{2} -x_{1} }\\\frac{y -4}{2 -4 } =\frac{x -0 }{-3 -0 }\\\frac{y-4}{-2}=\frac{x}{-3}\\ -3(y-4)=x(-2)\\ -3y+12=-2x\\2x-3y+12=0[/tex]

Therefore, the 2st line equation is [tex]2x-3y+12=0[/tex].

So, from the 2 equation we have

6x+8y-48=0 and 2x-3y+12=0.

[tex]a_{1} =6,b_{1} =8,c_{1} =48[/tex]

[tex]a_{2} =2,b_{2} =-3,c_{2} =12[/tex]

We have to check weather it satisfy the condition or not.

[tex]\frac{6}{2}\neq\frac{8}{-3} \\\frac{a_{1} }{a_{2} }\neq\frac{b_{1} }{b_{2} }[/tex]

Therefore, it satisfy the condition so the lines are parallel lines.

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Answer:

sym. prop of . now mark me as brainliest

Answer:

Henry's garden:

Divide 24 and 18 by 6: you get a 4:3 ratio of tomato: green bean

Simon's garden:

divide both 30 and 25 by 5: you get a 6:5 ratio of tomato: to green bean.

Step-by-step explanation:

Hope this helps!

Answer:

a₂ = 101.5

Step-by-step explanation:

the nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

given a₁ = 104 and a₃ = 99 , then

104 + 2d = 99 ( subtract 104 from both sides )

2d = - 5 ( divide both sides by 2 )

d = - 2.5

then

a₂ = 104 - 2.5 = 101.5

The distance between (0,0) and (2,5) is √29.

Given,

(0,0) to (2,5)

We need to find the distance between (0,0) and (2,5).

It is given as:

If two points are (a,b) and (c,d)

d = √ ( c - a )²+ (d - b )²

Find the distance between (0,0) and (2,5).

We have,

d = √ ( 2 - 0 )² + ( 5 - 0 )²

d = √ 2² + 5²

d = √ 4 + 25

d = √ 29

Thus the distance between (0,0) and (2,5) is √29.

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Answer:

c

Step-by-step explanation:

im pretty sure it is c because of the 50 50 shoot anically

Answer: T 0.5   H  0.3

Step-by-step explanation:

dont actually do this im a 5th grader who guessed

Answer:

1 1/2 small cans of paint

Step-by-step explanation:

1/2 = 1/3 of the sprayer, so I had to multiply 1/2 x 3, which is 1 1/2.

Answer: How do you know if its rational or irrational?

What are rational and irrational numbers? Rational numbers are the numbers that can be expressed in the form of a ratio (i.e., P/Q and Q≠0) and irrational numbers cannot be expressed as a fraction. But both the numbers are real numbers and can be represented in a number line.

Step-by-step explanation: hope this helps!!!

Answer:

Step-by-step explanation:

Answer:

20/11

Step-by-step explanation:

Recall that the word "product" means multiplication.

We're asked to multiply 11/12 by 240/121

Once multiplied, we get:

20/11 or 1.81 (in decimal form)

Answer:

c) 20/11

Step-by-step explanation:

Given problem,

→ (11/12) × (240/121)

Then required product will be,

→ (11/12) × (240/121)

→ (11 × 240)/(12 × 121)

→ 2640/1452

→ 20/11

Hence, option (c) is correct.

Using proportional relationships, the unit rates are given as follows:

A direct proportional relationship is a function in which the output variable is given by the multiplication of the input variable and the constant of proportionality, also called the unit rate k, as follows:

y = kx

For this problem, the functions are given as follows:

The unit rates are the constants of proportionality, respectively, given by:

k = 62, k = 65 and k = 63.

The functions for Fosbert's Contracting and Durable B Construction are missing, and are given as follows:

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Answer:

Step-by-step explanation:

ask siri

Ray's total cost was $28, 908.50

Ray Cupple bought a basic car costing at $26,500.00,

The  options costing is $725.00.

The sales tax in the state is 6%

The combined cost for license and registration fee is $50.00

Cost price of car = $26,500 and the Cost of options= $725

Therefore, the total taxable cost=$26,500+ $725=$27225

Tax amount = 6% of Total taxable cost

                    =0.06 x $27225 = $1,633.5

Total cost = $27225 + $1,633.5 + $50

Total cost = $28,908.50

Therefore Ray's total cost was $28, 908.50

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Disclaimer : Your question was incomplete, the above mentioned answer is solved as per the following question "Ray Cupple bought a basic car costing $26,500.00, with options costing $725.00. There is a 6% sales tax in his state and a combined $50.00 license and registration fee. What was Ray's total cost?"    

The graph represents a function that is non-linear, decreasing and continuous.

In this problem we look at the graph carefully and must infer the most important features of the curve. The following features are listed and explained below:

In a nutshell, the graph represents a function that is non-linear, decreasing and continuous.

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The value of the expression for x² + yz when x = 7, y = 5, and z = 3 is 64.

It should be noted that from the information, we are to evaluate x² + yz for x = 7, y = 5, and z = 3.

This will be illustrated as:

= x² + yz

= 7² + (5 × 3)

= 49 + 15

= 64

Therefore, the value of the expression for x² + yz when x = 7, y = 5, and z = 3 is 64.

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Answer:

-3 1/24

Step-by-step explanation:

-7/8+(-2 1/6)

=-7/8-2 1/6

=-(7/8+2 1/6)

=-(21/24+2 4/24)

=-2 25/24

=-3 1/24

Answer: 16

Step-by-step explanation:

an = an-1+4 ==> change in every term is +4

1=1st term

7=7th term

-8+4*(7-1)=

-8+4*6=

-8+24=16

Answer:

Yes (10,9) does make the inequality 10x + 13y > 10 true

Step-by-step explanation:

Answer:

assuming that "x" is a multiplication symbol

(4.2*2)10^-5

0.00001 * 8.4

44th term of the sequence is -82.

In an arithmetic sequence with a₁ =2 and d=-2  

-82 = 2 + (n-1)2

n-1 = -43

n = 44

An ordered group of numbers with a shared difference between each succeeding word is known as an arithmetic sequence. For instance, the common difference in the arithmetic series 3, 9, 15, 21, and 27 is 6.

Arithmetic sequences are sequences containing these patterns. The distance between succeeding terms in an arithmetic series is always the same. The difference between consecutive words is always two, hence the sequence 3, 5, 7, 9... is arithmetic.

An explicit formula that states a = d (n - 1) + c, where d is the common difference between succeeding words, and c = a1, can be used to establish an arithmetic sequence.

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