Simplify the expression: 6 + 2(3d² + 4) − d²​

The sum of a number is 92 which is not equal to 4.

8(N+6) = 4

N+6 = 4/8

N=1/2-6

  =11/2

plug that into the original equation to check the solution

8(11/2 + 6) = 4

8(23/2) = 4

8 x23/2 = 4

92 = 4, which is not equal to 4.

An equation is simply a number sentence with a variable in the place of an unknown value. A variable is a letter that is substituted in place of the unknown value. It can be any letter you want, although x or n is most commonly used.There are three major forms of linear equations: point-slope form, standard form, and slope-intercept form.

The term “linear”, though derived from the idea that a linear equation in two variables represents a line, has been generalized from that to mean that the equation involves a polynomial with degree 1. That is, the variable(s) are only multiplied by constants and added to other terms, with nothing more (squaring, etc.)

A linear equation only has one or two variables. No variable in a linear equation is raised to a power greater than 1 or used as the denominator of a fraction. When you find pairs of values that make a linear equation true and plot those pairs on a coordinate grid, all of the points lie on the same line

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From what i can see c will be in the middle so 14cm and d i cant see really but going off what i can see 3cm

The equation to represent the relationship between  number of years and height of tree is y = 2.5x + 4

The tree was planted at 4 feet.

It will grow 2.5 feet each year.

x =  the number of years since the tree has been planted.

y = the projected height of the tree

Therefore, the relationships between x, the number of years since the tree has been planted, and y, the projected height of the tree can be represented as follows:

The equations is linear.

Hence, it will be in the format below

y = mx + b

where

y = 2.5x + 4

Therefore, the equation to represent the relationship is as follows:

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The stems that the data fall are 1,2, and 3.

Using a stems and leaf plot, each data value in a series is represented by the stem as the first digit (digits) and the leaf as the last digit (digits).

Since all of the data values in the provided table contain two digits, we must locate the highest and smallest number at the tenth position in the data series in order to plot stems.

The Data series is:

19, 18, 23, 24, 31, 32, 16

The smallest number in tenth place = 1

The largest number at tenth  place = 3

So the stems used to plot the data are 1, 2, and 3.

Stem-leaf plot is shown in table 1 below:

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Answer:29

Step-by-step explanation: 174 divided by 6 is 49 becuase 6x49=174

The whole number quotients of the expression; 5320/61 as required to be evaluated in the task content is; 88.

It follows from the task content that the use of compatible numbers is to be used to estimate the whole number quotients 5320/61.

On this note, since the numbers can be written as follows;

= (53.2 × 100)/(0.61 × 100)

= 53.2/0.61

The estimate can therefore be determined by evaluating;

= 53/0.6

= 88 remainder 1.

Therefore, the closest estimate of the whole number quotients 5320/61 as given in the task content is; 88.

Ultimately, the whole number quotients of the expression; 5320/61 as required to be evaluated in the task content is; 88.

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If Singer B took in ​$29 million less than Singer​ A, it means that Singer A generates $236 million and singer B generates $207 million in tickets sale

How much does singer A takes in ticket sales?

The fact that singer B generated $29 million less than singer A means that if singer A generates x million , singer B would generate (x-29) million in tickets sales

singers A's earnings=x

singer B's earnings=x-29

total earnings=x+x-29

total earnings=2x-29

total earnings=443

443=2x-29

443+29=2x

472=2x

x=472/2

x=236

singer B's earnings=236-29

singer B's earnings=207

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The missing coefficients of x² is 8.

According to the question we have been given the expression which is :

        [tex](15x^{2} + 11y^{2} + 8x) - (7x^{2} + 5y^{2} + 2x) = [ ]x^{2} + 6y^{2} + 6x\\[/tex]

In this we have to find the missing coefficient.

To find the missing coefficients we will solve the L.H.S that is

       [tex]= (15x^{2} + 11y^{2} + 8x) - (7x^{2} + 5y^{2} + 2x)[/tex]

First we will eliminate the brackets we get

        [tex]= 15x^{2} + 11y^{2} + 8x - 7x^{2} - 5y^{2} - 2x\\[/tex]

Solving the coefficients of  x² terms , y² terms and x terms we get

        = 8x² + 6y² + 6x

Which is equal to the R.H.S

Combining both the equation we get the coefficient of the x² is 8.

Hence the missing coefficient is 8.

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The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

Hannah makes $8.75 per hour.

If she works 30 hours per week then

So, her weekly pay

=30*8.75

=262.5

Then her monthly pay

=4* 262.5

=1050

Then the yearly pay would be

=12* 1050

= 12600

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Answer:

14.5 inches of snow, S=T(H)+B

Step-by-step explanation:

This question is a linear equation. First, we will extract the important numbers

amount of snow at beginning=2

snow falling per hour=2.5

trying to find how much snow has fallen after 5 hours.

First, lets put this into an equation, variables will go as follows

total amount of snow=S

hours=H

snow at beginning=B

Rate of snow fall=T

Now, we make an equation

S=T(H)+B

Now, substitute the variables out

S=2.5(5)+2

Then, solve

S=12.5+2

S=14.5

For the second question, just put the equation you made as the answer

Answer:

[tex]x = -8[/tex]

Step-by-step explanation:

Let [tex]x[/tex] be the integer, then the consecutive integer is [tex]x + 1[/tex]. "3 times the next consecutive integer" means we should multiply [tex]x + 1[/tex] (the consecutive integer) by 3, giving us [tex]3 ( x + 1)[/tex].

We are told that the sum of [tex]x[/tex] and [tex]3(x + 1)[/tex] gives -29. Therefore, we can build an equation.

The sum of [tex]x[/tex] and [tex]3(x + 1)[/tex] can be expressed as [tex]x + 3(x + 1)[/tex].

Therefore,

[tex]x + 3(x + 1) = -29 \text{ // Distribute 3(x + 1)}\\x + 3 \times x + 3 \times 1 = -29\\\to x + 3x + 3 = -29 \text{ // Simplify}\\\to 4x + 3 = -29 \text{ // Subtract 3 from both sides}\\4x + 3 - 3 = -29 - 3\\\to 4x = -32 \text{ // Divide by 4 on both sides}\\\frac{4x}4 = -\frac{32}4\\\to x = -8[/tex]

Answer:

4/7

Step-by-step explanation:

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

So, the reciprocal is 4/7.

Answer:

The limit is equal to 0.

Step-by-step explanation:

f(x) will approach a much larger value than g(x) as x approaches infinity, meaning the fraction will approach 0.

You can measure the 1-positive distance between points A and B by using 3-either point as zero.

Distance means a distance magnitude or a direction vector.

Distance between points A and B is a distance magnitude, which can never be negative because it is the amount of space between the two points.  It does not take into account the direction of the displacement.

The distance between points A and B shows the size of the displacement.  The distance will remain the same whether measured from point A or from point B.

Thus, measuring the points between A and B can start from any of the points, and the measured distance is always positive.

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Answer:

For example, f(x)=2 is a constant function and f(x)=2x + 1 is a linear function. It is important to notice that the graphs of constant functions and linear functions are always straight lines. We have already said that a quadratic function is a polynomial of degree 2

Step-by-step explanation:

Answer:

(1, 8)

many possible answers

Step-by-step explanation:

to find an ordered pair to satisfy the equation means to find x and y to make the equation true

we can start off by putting x as 1

3(1) + y = 11

3 + y = 11

then subtract 3 to both sides

y = 8

you must put them in (x, y) form

so

(1, 8) is one of many possible answers

Answer: Option C. 6x+8=3(2x+4)

Step-by-step explanation:

Solution = S

No Solution = NS

( S ) A. 6x - 9 = 9x - 6

6x - 9 + 9 = 9x - 6 + 9

6x = 9x + 3

6x - 9x = 9x + 3 - 9x

-3x = 3

-3x/-3 = 3/-3

( S ) B. 6 - (2x+3) = -4 (x + 1 ) + 7

6 - (2x+3)

6 - 2x - 3

-2x + 3

-2x + 3 = -4x + 3

-2x + 3 - 3 = -4x + 3 - 3

-2x = -4x

-2x + 4x = -4x +4x

2x = 0

2x/2 = 0/2

( NS ) C. 6x + 8 = 3 (2x +4)

6x + 8 = 6x + 12

6x + 8 - 8 = 6x + 12 - 8

6x = 6x + 4

6x - 6x = 6x + 4 - 6x

0 = 4

( S ) D. -3 + 4x = 13

-3 + 4x + 3 = 13 + 3

4x = 16

4x/4 = 16/4

1. The amount that Avery contributed at the end of 20 years was $36,000.

2. Since the balance at the end of 20 years was $34,019, which is less than Avery's total contribution of $36,000, Avery withdrew both the interest earned and portions of the contributions during the period.

The future value is the value of the monthly deposits compounded at the interest rate.

The future value can be determined using an online finance calculator as follows.

Monthly deposits = $150

Interest rate = 2.99%

Period = 240 months (20 years x 12)

Balance at the end of 20 years = $34,019

Sum of all monthly contributions = $36,000 (240 x $150)

Total Interest = $13,191.54

Future Value = $49,191.54 ($36,000 + $13,191.54)

Actual value after 20 years = $34,019.00

End-of-Period Withdrawals = $15,172.54 ($49,191.54 - $34,019.00)

Thus, the amount Avery contributed for 20 years was $36,000.

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Answer:

105

Step-by-step explanation:

The rectangle is 84 and the triangle is 21.

84 + 21 = 105

Answer:

105

Step-by-step explanation:

84 + 21 = 105

Answer: 3.75

Step-by-step explanation:

60/(5+11)

60/16

3.75

Answer:

Total number of kids = 20

1/2 are in super hero costumes

= 1/2×20

= 10

1/4 are witches or wizards

= 1/4 ×20

= 5

Pirates= 20 - (10 + 5)

= 20 - 15

= 5

Answer: C

Step-by-step explanation: the comment box said so so it must be right

Answer:

what is x

Step-by-step explanation:

what is x then ill know

The linear equation in standard form that satisfies the given conditions is

x - y = -5

Given,

Points that the line passes through:

(x₁, y₁) = (4, -1)

(x₂, y₂) = (8, 3)

Let's find the slope of the line,

m = [tex]\frac{y_{2} -y_{1} }{x_{2}-x_{1} }[/tex] = [tex]\frac{3-(-1)}{8-4}[/tex] = [tex]\frac{3+1}{4}[/tex] = [tex]\frac{4}{4}[/tex] = 1

Now, we can write the equation in point slope form:

y - y₁ = m(x - x₁)

y - (-1) = 1(x - 4)

y + 1 = x - 4

Add -1 to both sides.

y + 1 - 1 = x - 4 - 1

y = x - 5

Now, let's convert this to standard form.

Ax + By = C

Here,

y = x - 5

Add +5 to both sides.

y + 5 = x - 5 + 5

y + 5 = x

x - y = -5

Now the equation is in standard form.

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The MAD is the 5.5 mentions if the reporter counts the number of times a politician talks about jobs in their campaign speeches in the dot plot.

A dot plot also referred to as a dot chart or stripe graph, is a sort of simple histogram-like figure used in statistics for little data sets with values falling into a number of discrete bins.

It is given that:

A reporter counts the number of times a politician talks about jobs in their campaign speeches in the dot plot.

From the graph:

The MAD of the data:

= [(3+4+7+8) + 3(5+6)]/(4 + 2x3)

After simplification:

= 55/10

= 5.5 mentions

Thus, the MAD is the 5.5 mentions if the reporter counts the number of times a politician talks about jobs in their campaign speeches in the dot plot.

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