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Answer:

  10 years

Step-by-step explanation:

The simple interest formula tells you the relationship between interest, principal, interest rate, and time. When the given values are put into the formula, it can be solved for the unknown time.

__

  I = Prt . . . interest earned on principal P at rate r for t years

  6000 = 1000·0.60·t . . . . use the given values for I, P, r

  6000/600 = t = 10 . . . . divide by the coefficient of t

$1000 will yield an interest of $6000 in 10 years.

Answer:

$10/hour

Step-by-step explanation:

Solving

Take two points and find slope

Slope

Pay rate 10$/h

The equations that has a leading coefficient of 3, and a constant of -2 are:

0 = 3x² + 2x – 2

0 = –3x + 3x² – 2

0 = –1x – 2 + 3x²

A leading coefficient is the term that has the highest degree in a polynomial expression.

A constant is a term that has only numbers and contains no variable.

We are given the following equations:

The first, third, and last equations each has a leading coefficient of 3 and a constant of -2.

Therefore, the equations that has a leading coefficient of 3, and a constant of -2 are:

0 = 3x² + 2x – 2

0 = –3x + 3x² – 2

0 = –1x – 2 + 3x²

Learn more about leading coefficient on:

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Answer:

x = 6

Step-by-step explanation:

8(2x – 14) + 13 = 4x – 27

Lets go in the order of PEMDAS (Parantheses, Exponents, Multiplication, Division, Addition, Subtraction)

First, distribute 8.

8(2x – 14)

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

[tex]8*-14=-112[/tex]

So now our equation is:

16x – 112 + 13 = 4x – 27

Now we can add. We will add 13 to -112.

[tex]-112 +13=-99[/tex]

Now our equation looks like this:

16x – 99 = 4x – 27

Now we have to try to get the variable (x) on one side of the equation.

To do this, we will subtract 4x from both sides of the equation.

16x – 99 = 4x – 27

-4x            -4x

12x - 99 = -27

Now we can add 99 to -27.

[tex]99 + (-27) = 72[/tex]

Now we have

12x = 72

Our last step is to divide both sides by 12:

[tex]\frac{12x}{12}= \frac{72}{12}[/tex]

We get x = 6.

Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Brainliest would be MUCH appreciated. Have a great day!

Stay Brainy!

−Kallmekrish

Answer:

Step-by-step explanation:

A.

8(2x – 14) + 13 = 4x – 27

Step 1: Distribute 8, meaning multiply 2x and -4 using 8

8(2x – 14)

8(2x) + 8(-14)

16x - 112

New equation:

16x - 112 + 13 = 4x – 27

Step 2: Add any numbers or like terms:

16x - 112 + 13 = 4x – 27

16x - 109 = 4x - 27

New equation:

16x - 99 = 4x - 27

Step 3: Isolate the variable on one side

16x - 99 = 4x - 27

-4x           -4x

12x - 99 = - 27

     + 99   + 99

12x = 72

Step 4: Divide both sides by 12

12x = 72

/12    /12

x = 6

B.

Check your answer:

8(2x – 14) + 13 = 4x – 27

8(2(6) - 14) + 13 = 4(6) - 27

8(12 - 14) + 13 = 4(6) - 27

8(-2) + 13 = 24 - 27

-16 + 13 = 24 - 27

-3 = -3

This statement is correct

Therefore, our answer (x = 6) is correct.

Hope this helps!

answer:

(-7; -5)

step by step

The factors of expression [tex]2x^{2} +3x-54[/tex] are (x+6) and (2x-9).

The given expression is: [tex]2x^{2} +3x-54[/tex]

A factor is a number that divides another number leaving no remainder.

We can rewrite the given expression as:

[tex]2x^{2} +12x-9x-54[/tex] (middle term has been splitted)

Take 2 as common from first two terms while take -9 as common from last two terms.

[tex]2x(x+6)-9(x+6)[/tex]

Take (x+6) as common

[tex](x+6) (2x-9)[/tex]

So, we got the factors (x+6) and (2x-9)

Therefore, The factors of expression [tex]2x^{2} +3x-54[/tex] are (x+6) and (2x-9).

To get more about factors visit:

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Answer:

x⁴ - 8x² + 9

Step-by-step explanation:

The Area of the smallest square is A1 = x . x = x²

The Area of the second square is A2 = ( x² - 3 )(x² - 3)

A2 = x⁴ - 3x² - 3x² + 9

A2 = x⁴ - 6x² + 9

The Area of the Shaded shape is A2 - A1

x⁴ - 6x² + 9 - x²

x⁴ - 8x² + 9

Answer:

Rational

Step-by-step explanation:

A rational number includes any whole number, fraction, or decimal that ends or repeats. An irrational number is any number that cannot be turned into a fraction, so any number that does not fit the definition of a rational number.

Answer:

9 and 18

Step-by-step explanation:

let the numbers be x and 2x

so that x+2x=27

3x=27

x=9

so the numbers are 9 and 18.

I hope this will help

Answer:

[tex] \\ [/tex]

Step-by-step explanation:

It is given that, the sum of two numbers is 27 and one of the number is 2 times as large as the other.

[tex] \\ [/tex]

Let us assume the one number as x and as state in the question, one of the number is 2 times as large as the other (x) . So, the other number will be 2x .

[tex] \\ [/tex]

Now,

[tex] \\ {\longrightarrow \pmb{\sf {\qquad x + 2x = 27 \:}}} \\ \\[/tex]

Adding like terms we get :

[tex]\\ {\longrightarrow \pmb{\sf {\qquad 3x = 27 \:}}} \\ \\[/tex]

Dividing both sides by 3 we get :

[tex]\\ {\longrightarrow \pmb{\sf {\qquad \frac{3x}{3} = \frac{27}{3} \:}}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\frak {\qquad {x} = {9} \:}}} \\ \\[/tex]

So,

[tex] \\ [/tex]

Now,

[tex] \\ {\longrightarrow \pmb{\frak {\qquad Other \: number = 2x \:}}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\frak {\qquad Other \: number = 2(9) \:}}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\frak {\qquad Other \: number = 18 \:}}} \\ \\[/tex]

Therefore,

ur mom

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

9*9+40*40=41*41

Step-by-step explanation:

The largest length is always the hypotenuse. If we were to multiply any triple by a constant, this new triple would still represent the sides of a right triangle. Therefore, 6, 8, 10 and 15, 20, 25, among countless others, would represent the sides of a right triangle.

Answer:

5(x+2)

Step-by-step explanation:

Answer:

it should be built at the centre

Answer:

D

Step-by-step explanation:

I have done this before
Top row units is 8 i then multiplied both sides so 5*2 which = 10 then multiplied 8*10 to get 80

Answer:

80 square units (D)

Step-by-step explanation:

Base is 16 units, height is 5 units. 16 * 5 = 80

Answer:

2. |-4| < |-8|

3. |-5| > 1

5. |-2| = |2|

Answer:

2,3,5 are correct

Step-by-step explanation:

i took the test

Answer: Answer:

A. is your answer

When using the Slope Method, your answer is y - 5 = 4(x - 2).

Feel free to give brainliest.

Have a great day everyone!

Answer:

6

Step-by-step explanation:

What is 1 half (1/2) multiplied by (4+8) equal?

1/2*(8+4) <== add the number in the parenthesis

1/2*12 <== multiply the numbers, half of 12 is 6

6 <== final answer

Hope this helps!

6

Step-by-step explanation:

Hope the pic will help

This being a piecewise function, trying to solve f(2), we must find which two equations we can use.

We can use the function '3x + 1' because its domain is 'x is greater than or equal to 2

   --> f(2) = 3(2) + 1 = 7

Hope that helps!

Answer:

Yes. They are proportional.

Step-by-step explanation:

[tex]\frac{56}{72} =\frac{7}{9}[/tex]

[tex]0.777=0.777[/tex]

The left side 0.777 is equal to the right side 0.777, which means that the given statement is always true.

True

Step-by-step explanation:

please mark me as brainlest

Answer:

  10 mm

Step-by-step explanation:

You can find the missing dimension using the triangle area formula with the dimensions you know.

  A = 1/2bh

  40 mm² = 1/2(b)(8 mm)

  b = 40 mm²/(4 mm) = 10 mm . . . . . . . divide by the coefficient of b

The triangle's base is b = 10 mm.

Step-by-step explanation:

3 blue

4 red

2 yellow

in total 9 marbles.

when looking at the 3 blue marbles that leaves 9-3 = 6 others (red and yellow).

so, the ratio is

3:6 = 1:2

remember, a ratio is a fraction and follows the same rules of calculation, simplification, ...

since the diameter is 66 cm, then its radius is half that or 33 cm.

[tex]\textit{arc's length}\\\\ s=r\theta ~~ \begin{cases} r=radius\\ \theta =\stackrel{radians}{angle}\\[-0.5em] \hrulefill\\ r=33\\ \underset{complete~turn}{\theta =2\pi ~\hfill } \end{cases}\implies s=(33)(2\pi )\implies s=66\pi \implies s\approx 207.34~cm[/tex]

The shop makes 25% profit if the cost price per dress is R280.

Step-by-step explanation:

Successive magnification:

In this process, we use to represent real numbers and visualize them on the number line such as by the magnifying glass, due to this we refer it as successive magnification.

Answer:

x=11

Step-by-step explanation:

It seems that the two angles are supplementary.  Soo they add up to 180

Thus,

15+15x=180

Solve for x...

15x=165

x=11

Hope this helps!!!