Which expression is the simplest form of -(2x+y)+3(x-4y)?

The explicit formula for the geometric sequence 12, -36, 108, -324, ... is f(n) = 12 * (-3)^(n-1), where 'n' is the term number.

The series provided is a geometric series. In a geometric series, each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio, denoted by 'r'. In our given series 12, -36, 108, -324, ..., you can determine that the common ratio (r) is -3. Now, using the formula for a geometric sequence given by f(n) = a * r^(n-1), where 'a' is the first term (12 in this case) and 'n' is the term number, we can write the explicit formula as

f(n) = 12 * (-3)^(n-1).

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The geometric series is represented by the explicit formula f(n) = 12 * (-3)^(n-1)

The given sequence is an example of a geometric progression where each term is found by multiplying the previous term by a constant ratio. In this case, the common ratio is -3.

The explicit formula for a geometric series is given by f(n) = a * r^(n-1), where 'a' is the first term and 'r' is the common ratio. In this sequence, the first term (a) is 12 and the common ratio (r) is -3.

Plugging in the values into the formula, we can write the explicit formula for this geometric series as f(n) = 12 * (-3)^(n-1).

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Answer:  -1 < x < 8

                x = 3

                x ≠ 2

Step-by-step explanation:

Isolate x in the middle.  Perform operations to all 3 sides.

-6 < 2x - 4 < 12

+4        +4   +4

-2 < 2x       < 16

÷2    ÷2         ÷2

-1   <   x       <  8

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Isolate x.  Solve each inequality separately. Remember to flip the sign when dividing by a negative.

       4x ≤ 12       and       -7x ≤ 21

      ÷4    ÷4                 ÷-7     ÷-7

        x ≤ 3         and         x ≥  3

Since it is an "and" statement, x is the intersection of both inequalities.

When is x ≤ 3 and ≥ 3?    when x = 3

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Isolate x.  Solve each inequality separately.

    15x > 30       or           18x < -36

   ÷15   ÷15                   ÷18     ÷18

       x > 2          or              x <   2

Since it is an "or" statement, x is the union of both inequalities.

When we combine the inequalities, x is every value except 2.

x ≠ 2

Answer:

Your answer would be 30a - year

Hope this helped. Please mark brainliest if this helped.

Monthly payment is the principal and interest payment for each year for $1000 financed. he payment of the mortgage is $4639.75

The period for which the mortgage offered is 30 years.

The rate for which the mortgage offered is 5 percent.

The interest on the loan is $5.37 for every $1000 financed.

Monthly payment is the principal and interest payment for each year for $1000 financed.

He has to pay for 30 years. As there is 12 month in one year. Therefore the total months in 30 years,

[tex]n=30\times12\\ n=360[/tex]

Thus the value of n is 360.

The formula for the principal amount can be given as,

[tex]P=a\times\dfrac{r}{n} [/tex]

Put the values

[tex]5.37=a\times \dfrac{0.41667}{360} \\ [/tex]

Solving it for the a

[tex]a=4639.75[/tex]

Thus the payment of the mortgage is $4639.75.

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Answer: 6x^2+3x-6

Step-by-step explanation:

6+2x^2-3x=8x^2

-2x^2. -2x^2

6-3x=6x^2

= 6x^2+3x-6

Answer:

Step-by-step explanation:

Answer:

"They are supplementary" ⇒ last answer

Step-by-step explanation:

* Look to the attached figure

- Two parallel horizontal lines are intersected by a third line

- The angles formed form intersection are labeled on the figure

- From the two parallel lines and  

 ∠5 ≅ ∠1 ⇒ corresponding angles

 m∠5 = m∠1

- A linear pair is two angles that are adjacent and form a line and

 they are supplementary

 ∠1 and ∠3 form a line

 ∠1 and ∠3 are linear pair

* lets prove that ∠3 and ∠5 are supplementary

∵ m∠1 = m∠5 ⇒ corresponding angles

∵ ∠1 and ∠3 form a linear pair

∵ Linear pair are supplementary

∴ m∠1 + m∠3 = 180°

- By substitute ∠1 by ∠5

∴ m∠5 + m∠3 = 180

∴ ∠5 and ∠3 are supplementary

* The true statement is "They are supplementary"

Angles 3 and 5 are congruent because they are alternate interior angles formed by a transversal intersecting two parallel lines. This is supported by the Alternate Interior Angles Theorem.

To determine the relationship between angles 3 and 5 when two parallel lines are intersected by a transversal, we can use the properties of alternate interior angles.

Angles 3 and 5 in this setup are also alternate interior angles, and by the same theorem, they are congruent.

This leads us to the conclusion that:

Angles 3 and 5 are congruent.

Answer:

43

Step-by-step explanation:

Answer:

21 by 3

Step-by-step explanation:

3x7=21

21+21=42

3+3=6

42+6=48

4 can be one too because its less than 9 and its a whole number

Hope it helps :)

Answer:

7^9= 40,353,607

7*7*7*7*7*7*7*7*7=40,353,607

7^3 =343

7*7*7=343

√10 is irrational because a rational number is a number that is a/b where a and b are integers and b is a nonzero number.√10 does not follow this.

If you need a better explanation just as in the comments.

Happy to help! Please mark as BRAINLIEST! Thanks

Answer:

Step-by-step explanation:

55*.60=$33

SO, 55-33=22THE ITEM IS $22 NOW

[tex]\bf (\stackrel{x_1}{-8}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{-5}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-5}-\stackrel{y1}{4}}}{\underset{run} {\underset{x_2}{1}-\underset{x_1}{(-8)}}}\implies \cfrac{-9}{1+8}\implies \cfrac{-9}{9}\implies -1[/tex]

[tex]\bf \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{4}=\stackrel{m}{-1}[x-\stackrel{x_1}{(-8)}]\implies y-4=-(x+8) \\\\\\ y-4=-x-8\implies y=-x-4[/tex]

Answer:

Is there a x somewhere or is that litteraly how the equation is?

If so, -7 multiplied by 2 is -14,

-1 times -7 is 7,

add it together and you get

-7=28,

you could add 7 to both sides or subtract 28 from both sides and you'll get either 0=35 or -35=0

which would make the solution false since both sides are not the same

Answer:

5/3

Step-by-step explanation:

i added a picture that will help you solve it.

The solution to the equation[tex]\dfrac{3}{7}(x+3)+5=3x+2[/tex] when "x" is an unknown variable is  [tex]\dfrac{5}{3} .[/tex]

Two algebraic expressions separated by an equal symbol between them and with the same value are called equations.

Example = 2x +4 = 12

here, 4 and 12 are constants and x is variable.

To solve the equation[tex]\dfrac{3}{7}(x+3)+5=3x+2[/tex] we can follow these steps:

Multiply \dfrac{3}{7} into the brackets or inside the parentheses

[tex][\dfrac{3}{7}x + \dfrac{3}{7}\times3] + 5 = 3x + 2[/tex]

[tex]\dfrac{3}{7}x +\dfrac {9}{7} + 5 = 3x + 2[/tex]

On solving we get,

[tex]\dfrac{3x+9}{7} = 3x +2-5[/tex]

[tex]\dfrac{3x+9}{7} = 3x -3[/tex]

On cross multiplication we get,

[tex]{3x+9} = 7(3x -3)[/tex]

Opening the parenthesis we get

[tex]{3x+9} = (21x -21)[/tex]

Taking the variables to one side and constants on the right side we get,

[tex]{9+21} = (21x -3x)[/tex]

On further solving we get,

30 = 18 x

Simplify and solve for x:

Divide both sides by 18, and we get

[tex]\dfrac{30}{18} = x[/tex]

Now, in standard form

[tex]\dfrac{5}{3} = x[/tex]

In decimals, we get 1.66666.

Therefore, the solution to the equation [tex]\dfrac{3}{7}(x+3)+5=3x+2[/tex] is [tex]\dfrac{5}{3}[/tex].

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10x10x10x10x10x10=1000000

[tex] {10}^{6} [/tex]

means 10x10x10x10x10x10

as it's basically saying 10 is multiplied by itself 6 times which gives you 1000000

The expression 10 × 10 × 10 × 10 × 10 × 10 can be written with an exponent as [tex]10^{6}[/tex]

In Mathematics and Geometry, an exponent can be represented or modeled by this mathematical expression;

[tex]b^n[/tex]

Where:

Based on the information provided above, we can logically deduce the following expression;

10 × 10 × 10 × 10 × 10 × 10

[tex]10^{1+1+1+1+1+1}=10^{6}[/tex]

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Step-by-step explanation:

Look at the picture

-80 + 8p - 2z

Terms: -80, 8p, -2z

Coefficients: -80, 8, -2

Answer:

30/7n

Step-by-step explanation:

let n be the no.

seven times a no. is 7n

so ans is 30/7n

Answer:

Step-by-step explanation:

x + y = 6

x-intercept is for y = 0. Substitute:

x + 0 = 6

x = 6

y-intercept is for x = 0. Substitute:

0 + y = 6

y = 6

Answer:

$447

Step-by-step explanation:

2,235 multiplied by .20

Answer:

a. <

b. >

c. >

d.<

Step-by-step explanation:

6 1/4 is less than 6 2/3

-3 is greater than -4

-5 is greater than -5.2

-5 is lesson that -4.8

Answer: Side one is 7 3/8

Side two is 8 2/8

Side three is 3 3/8

Perimeter is 19

Step-by-step explanation:

The first side is    a+3 1/4

the second side is  2a

The third side is   7 1/2-a

Plug 4 1/8 in for a

First side   4 1/8+3 1/4

Find the common denomnator which is 8

4 1/8+3 2/8

7 3/8

First side is 7 3/8

Second side  2(4 1/8)=4 1/8 +4 1/8= 8 2/8

Third side is 7 1/2-4 1/8

Find the common denominator which is 8

7 4/8-4 1/8= 3 3/8

Third side is 3 3/8

The perimeter is adding all the three sides together

7 3/8+8 2/8+ 3 3/8=18 8/8

Reduce 18 8/8=18 +1=19

Answer:

Perimeter = 19 units

Step-by-step explanation:

Given a = 4 1/8

[tex]Side1 = a + 3\frac{1}{4}\\Side2 = 2a\\Side3 = 7\frac{1}{2}-a[/tex]

The next step is substituting the a value in the expressions:

[tex]Side1 =  4\frac{1}{8}+ 3\frac{1}{4}\\Side2 = 2*(4\frac{1}{8})\\Side3 = 7\frac{1}{2}-4\frac{1}{8}[/tex]

Then, fractions with different denominators must be converted to the same denominator. Also, the multiplication of a whole number by a mixed number can be done by using distributive law:

[tex]Side1 =  4\frac{1}{8}+ 3\frac{2}{8}\\Side2 = 8\frac{2}{8}\\Side3 = 7\frac{4}{8}-4\frac{1}{8}[/tex]

[tex]Side1 =  7\frac{3}{8}\\Side2 = 8\frac{1}{4}\\Side3 = 3\frac{3}{8}[/tex]

Now, the perimeter is the sum of all the sides. Therefore, the perimeter is:

[tex]Perimeter =  7\frac{3}{8} + 8\frac{1}{4} + 3\frac{3}{8}[/tex]

Which is 19 units.

Answer:

Step-by-step explanation:

The graph of y= -4×+7 is​ a straight line with slope -4 and y-intercept 7.  Please do not use × to represent the independent variable; use x instead.  × represents multiplication.

To graph this function, first plot the y-intercept, b, which is (0, 7).

Next, starting with your pencil point at (0, 7), move the point 1 unit to the right and plot another point (which will be (1, 7) ).  Now move your pencil point 4 units down and plot your third point, which will be (1, 3).

Finally, draw a straight line thru the first and third points, that is, thru (0, 7) and (1, 3).  Notice how this line has the slope -4 and the y-intercept (0, 7).

Answer:

x=33

Step-by-step

subtract 15 and 2 you get 13

13 times 3 =39

subtract 39 with 39 and 46 with 39

at the end you will get -26x=7

reverse negative into positive and then add -26 with 26 and you will be left with x and then you add 7 with 26 and your answer is

x=33

Answer:

9 or 10

Step-by-step explanation:

because you add the hours

[tex]\bf \cfrac{~~\frac{3}{2}~~}{\frac{15}{4}}\implies \cfrac{~~\begin{matrix} 3 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{~~\begin{matrix}2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\cdot \cfrac{\stackrel{2}{~~\begin{matrix} 4 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}{\underset{5}{~~\begin{matrix} 15 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}\implies \cfrac{2}{5}[/tex]

To simplify the expression 3/2/(15/4), first convert the division of fractions to multiplication by the reciprocal, giving (3/2) * (4/15). Multiply the numerators and denominators and then reduce the fraction by dividing both by their greatest common divisor. The simplified result is 2/5.

To simplify the expression 3/2/(15/4), you would follow these steps:

Following these steps results in the original expression 3/2/(15/4) simplifying to 2/5.

The correct answer is [tex]\(\frac{17}{20} \times 100\%\)[/tex].

To find the percentage of students who passed the quiz, we need to divide the number of students who passed by the total number of students, and then multiply by 100 to convert the fraction to a percentage.

 Given that 17 students passed out of 20, the calculation is as follows:

[tex]\[ \text{Percentage of students who passed} = \left( \frac{\text{Number of students who passed}}{\text{Total number of students}} \right) \times 100\% \][/tex]

[tex]\[ \text{Percentage of students who passed} = \left( \frac{17}{20} \right) \times 100\% \][/tex]

 This fraction can be simplified to a decimal or a mixed number if necessary, but it is most accurate and precise in its fractional form as given above. To convert it to a decimal, one would divide 17 by 20 and then multiply by 100, which would yield 85%. Thus, 85% of the students passed the quiz.

Answer:

[tex]f(2a-\frac{3}{5})=4a^2+\frac{8a}{5}+\frac{4}{25}[/tex]

Step-by-step explanation:

we have

[tex]f(x)=x^{2} +2x+1[/tex]

Find [tex]f(2a-\frac{3}{5})[/tex]

That means -----> substitute the value of [tex]x=(2a-\frac{3}{5})[/tex] in the function and evaluate

[tex]f(2a-\frac{3}{5})=(2a-\frac{3}{5})^{2} +2(2a-\frac{3}{5})+1[/tex]

[tex]f(2a-\frac{3}{5})=(4a^2-\frac{12a}{5}+\frac{9}{25})+(4a-\frac{6}{5})+1[/tex]

[tex]f(2a-\frac{3}{5})=4a^2+\frac{8a}{5}-\frac{21}{25}+1[/tex]

[tex]f(2a-\frac{3}{5})=4a^2+\frac{8a}{5}+\frac{4}{25}[/tex]

Answer:

y-intercept: [0, -2]; 0 = m

Step-by-step explanation:

Anything set to equal y is what is known as a zero rate of change [slope] because it is a horizontal line.

I am joyous to assist you anytime.