What is a solution to this equation?
(1 − 3x)¾ − 1 = x

From division it is possible to find x= -4.

An equation can be represented by a linear function. The standard form for the linear equation is: y= ax+b , for example, y=7x+2. Where:

a= the slope. It can be calculated for [tex]a=\frac{\Delta y}{\Delta x}[/tex] .

b= the constant term that represents the y-intercept.

For the given example: a=7 and b=2.

For solving  linear equations, you should organize variables on one side of the equation and the numbers on the other side. When a number or variables change side, its signal also is changed.

Therefore for -12x=48, you should follow the steps below

-12x=48

x=48/ (-12)

x= -4

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Answer: (x-3)(x-5) = x2 - 8x + 15

The roots will be unchanged by multiplication by 3: 3x2 - 24x + 45

Step-by-step explanation:

Answer:

y = 3x² + 6x - 45

Step-by-step explanation:

given roots x = a and x = b then the factors are (x - a) and (x - b)

then the quadratic is the product of its factors

y = a(x - a)(x - b) ← a is a multiplier

here x = - 5 and x = 3 with a = 3 , then factors are

(x - (- 5)) and (x - 3) , that is (x + 5) and (x - 3) , then

y = 3(x - 3)(x + 5) ← expand factors using FOIL

y = 3(x² + 2x - 15) ← distribute parenthesis by 3

y = 3x² + 6x - 45

The numbers that have a digit in the ones place that is 1/10 the value of the digit in the tens place is 6,044.7 , 9,777.1 and 8,101.13

The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs. The precise position of a number within a series is assigned a value by a place-value system.

Given that we have to choose the number having a digit in the one place that is 1/10 the value of the digit in the tens place.

The numbers are 6,044.7 , 9,777.1 and 8,101.13  in which a digit in one place has a value that is 1/10 that of a digit in the tens place.

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The approximate total amount of felt used in the logo is 334.34 square cm

We have the following parameters on the logo:

Shapes = Semicircle and Triangle

Where

Semicircle:

Diameter = 18 cm

Triangle

Base = 16 cm

Height = 10 cm

The approximate total amount of felt used in the logo is calculated as

Amount = Area of semi-circle + Area of triangle

This gives

Amount = π(d/2)^2 + 0.5bh

So, we have

Amount = 3.14 * (18/2)^2 + 0.5 * 16 * 10

Evaluate

Amount = 334.34

Hence, the approximate total amount of felt used in the logo is 334.34 square cm

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After 156 seconds the strands will change color at the same time again.

As strand 1 changes color every 12 seconds and Strand 2 .changes color every 13 seconds. we are provided that both strands just changed color and we need to find that After how many seconds will the strands change color at the same time again

To know After how many seconds will the strands change color at the same time again we need to find the least common multiple (LCM) of 12 second and thirteen seconds

The factors of 12 = 2*2*3

The factors of 13 = 1 *13

LCM =2 * 2* 3*13 = 156

Hence, After 156 seconds the strands will change color at the same time again

Correct question is Strand 1 changes color every 12 seconds Strand 2: changes color every 13 seconds . Both strands just changed color. After how many seconds will the strands change color at the same time again?

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Answer:

1. +5

2.-5

3.-5

4.+1

5.+5

Answer:  1.) 5      2.) -1   3.)-5   4.)1  5.)5

Step-by-step explanation:

The algebraic expression that represents the total amount of money in terms of x is:

y = 45*x + 20

Here we want to find the total value (in cents) of:

The total value will be given by the linear equation:

y = x*25 + (x + 2)*10 + (2x)*5

Where y represents the total value in cents.

Now we can simplify that equation to get:

y = x*25 + (x + 2)*10 + (2x)*5

y = x*25 + x*10 + 20 + x*10

y = 45*x + 20

This is the algebraic expression we wanted to get.

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The constant of proportionality is 3 for the ratio of robins to cardinals.

We have a table:

Cardinals        Robins

5                      15

6                      18

9                       27

10                      30

We need to find the constant of proportionality.

The constant of proportionality is the ratio that relates two given values in what is known as a proportional relationship.

We know that:

Robins ∝ Cardinals

Robins = K × Cardinals

K = the constant of proportionality

15 = k (5)

k = 3

So, we get the constant of proportionality as 3.

Therefore, the constant of proportionality is 3 for the ratio of robins to cardinals.

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Your question was incomplete. Please refer the content below:

Explain how to find the constant of proportionality for the ratio of robins to cardinals.

A 2-column table with 4 rows. Column1 is labeled Cardinals with entries 5, 6, 9, 10. Column 2 is labeled Robins with entries 15, 18, 27, 30.

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Work below. Enjoy!

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Break up the statement first, and then find the answer.

(7 + 8) - (2 x 3) = 25

15 - 6 = 25

Since it isn't true, try playing around with different functions. I'll spare time and write down my work:

(7 x 8) - (2 x 3) / 2 = 25

56 - 6 /2 = 25

50 / 2 = 25

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

Good luck! :)

~pinetreee

Answer:

x = 11 ,

Step-by-step explanation:

isolate the variable by diving each side by factors that don’t contain the variable

The piecewise function for the discounted price of the purchase is given by:

A piecewise function is a function that has different definitions, depending on the input.

For $300≤x<$1,000, the discount is of 4%, hence the discounted price is 96% of the original price, that is:

D(x) = 0.96x, 300≤x<1,000

For $1,000≤x<$3,000, the discount is of 5%, hence the discounted price is 95% of the original price, that is:

D(x) = 0.95x, 1,000≤x<3,000.

For $3,000≤x<$5,000, the discount is of 6%, hence the discounted price is 94% of the original price, that is:

D(x) = 0.94x, 3,000≤x<5,000.

For $5,000≤x, the discount is of 10%, hence the discounted price is 90% of the original price, that is:

D(x) = 0.9x, 5,000≤x.

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Answer: 2.25

Step-by-step explanation: divide 13.50 by 6 and then you get 2.25 to check you can do 2.25 times 6 and get 13.50

The only option that is a Binomial is; D. x² - 4

A binomial is defined as a polynomial with two terms.

Examples of binomials are; x − 2 and x − 6 are both binomials.

A) x² - 4x + 2; This is a quadratic function with 3 terms and is therefore a trinomial and not a binomial.

B) 2x² + 3x - 1y; This is a quadratic function with 3 terms and is therefore a trinomial and not a binomial.

C) x²; This has only one term and is therefore a monomial and not a binomial.

D) x² - 4; This is a polynomial with two terms and is therefore a binomial.

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Answer:

The equation would be:

58 times 65

The answer:

3,770

Step-by-step explanation:

The value of the given expression after simplification is 12.16

Expression:        

Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is called an expression or an algebraic expression.

Simplification:

The act of substituting a complex mathematical expression with a simpler counterpart is known as simplification (usually shorter).

Simplifying the given expression i.e.(2)(2.3) + (3.14)(4) - 5

⇒(2)(2.3) + (3.14)(4) - 5

⇒4.6 + 12.56 - 5

⇒17.16 - 5

⇒12.16        

⇒(2)(2.3) + (3.14)(4) - 5 = 12.16

Therefore,The value of the given expression after simplification is 12.16

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Answer:

$1260

Step-by-step explanation:

Step 1: Read and analyze the problem

In this problem, you are asked to find out how much her friend earned in the same month. You are given information about their commission rates and the total amount of merchandise they sold.

Step 2: Identify the known values and the unknown value

The known values in this problem are the commission rates and the total amount of merchandise sold. The unknown value is the amount her friend earned in the same month.

Step 3: Create an equation or system of equations

You can create an equation to solve for the unknown value using the information given in the problem.

Step 4: Solve the equation or system of equations

If you solve the equation, you will find that her friend earned $1,260 in the same month.

Hope this helps! Please mark me brainliest

Answer:1260

Step-by-step explanation:

Answer:

Step-by-step explanation:

3

x

2

+

4

x

+

19

−

f

(

x

)

=

0

Answer: 253 reams of paper

Hope this helps!

Please check the image attached aside to see the representation of the system of inequalities. The points (x, y) = (40, 30) and (x, y) = (10, 40) are solutions of the system of inequalities.

In this question we have a system formed by two inequalities represented by linear expressions in implicit form. Now we proceed to rewritte the system into explicit form:

y ≥ (200 - 4 · x) / 6                  (1)

y < 75 - x                                 (2)

Then, the solution set of the point is represented by an area below the function (2) and equal and greater to the function (1). Finally, we proceed to graph the system of inequalities. The points (x, y) = (40, 30) and (x, y) = (10, 40) are solutions of the system of inequalities.

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Answer: here is ur answer

He would have $100 in his bank account from the information provided

Step-by-step explanation:i really hope this helps please lmk if i am wrong have a good day/night (:

Answer:

the third one (the outmost right)

Step-by-step explanation:

the first one goes from -2 to 0 through functional values of 0, down to -5, and then back up to 0. so, it does NOT go down between -2 and 0.

the second one goes from -2 to 0 through the functional values of -15 up to -5. so, it goes UP in that interval.

and the third one goes from -2 to 0 through the functional values of 0 down to -10 and then further down to -24. so, this one is truly decreasing in that interval.

Answer:

2/11 = 0.18

22% = 0.22

1.42 = 1.42

That leaves the answers down to B and C.

Thus, the answer is C, 22%.

Answer:

C

Step-by-step explanation:

2/11 = 0.18181

22% = 0.22

1.42

Answer: No hablo english

Step-by-step explanation: Hola como estas

Answer: I

think n is 5

Step-by-step explanation:

a = 1, b = 2 is a counterexample, and with that, we conclude that the conjecture is false.

Here we have the conjecture:

"For any two integers a and b, (a - b)^2 = (a^2 - b^2)"

Notice that if we find a single pair of integers a and b such that the equality in the conjecture is false, then we have found a counterexample and that is enough to conclude that the conjecture is false.

If we define=

a = 1

b = 2

Replacing that in the equation of the conjecture we get:

(1 - 2)^2 = (1^2 - 2^2)

(-1)^2 = 1 - 4

1 = -3

This is false, then a = 1, b = 2 is a counterexample, and with that we conclude that the conjecture is false.

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Answer:

i) x = ky³

ii) 13.5

iii) 12

Answer: 450000, 160

Step-by-step explanation:

4.5 ⋅ 10^5 =

4.5*100000=

4*100000+0.5*100000=

400000+50000=450000

1.6 ⋅ 10^2=

1.6*100=

1*100+0.6*100=

100+60=160