Classwork: Multiply, Add, and Subtract Polyno
Math 3


Find the sum.
(3y² + y³ - 5) + (4y²-4y + 2y³ + 8)

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:

(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

The answer that is equal to 0.0079 in scientific notation will be C. 7.9 × 10^-3.

It should be noted that scientific notation are the way that are used to express the numbers given that are either too small or too large.

Therefore, it should be noted that 0.0079 will be written as:

0.0079 = 7.9 × 10^-3

Therefore, the answer that is equal to 0.0079 in scientific notation will be 7.9 × 10^-3.

In conclusion, the correct option is C.

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Answer:

Step-by-step explanation:

So start with your parentheses, (8-5)(5-3). 8-5=3 and 5-3=2, and when two parentheses are next to each other they will be multiplied.

Example: 3(5-3)^2 ---> 3 x 2^2
Although this "^" means "to the power" so 2 to the power of 2 is 2 x 2=4

So putting it all together we get, (8-5)(5-3)^2 --> 3(5-3)^2 --> 3 x 2^2 [2x2=4] --> 3 x 4 = 12
Your final answer is 12!

If you are still confused please do tell me what is confusing you. :)

Answer: 3.75

Step-by-step explanation:

60/(5+11)

60/16

3.75

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:

what is x

Step-by-step explanation:

what is x then ill know

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

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]

The relationship that the black keys have with each other in piano keyboard has a total of 88 keys is that there are 9 blacks keys for every 22 keys.

It should be noted that in a piano keyboard that has a total of 88 keys, the number of black keys that are in the piano is 36 black keys.

Therefore, the appropriate ratio between the black keys and total keys will be:

= 36 / 88

= 9 / 22

= 9:22

Therefore, the relationship is that there are 9 blacks keys for every 22 keys.

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There are 23 quaters in the container in first 6 days and there are 44 quaters in the container on 13th day.

given that

on first day Jake was saved 5 quarters in the container.

Then he adds 3 quaters each day.

now find the how many quarters will he have for the first 6 days.

from the question

5 + (3 X 6) = 5 + 18 = 23

so, there are 23 quaters in the container in first 6 days.

now find how many quaters will he have on the 13th day.

from the question

5 + (3 X 13) = 5 + 39 = 44

so,there are 44 quaters in the container on 13th day.

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Answer:29

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

Arithmetic sequence is described by the formula aₙ=a₁+(n-1)d.

Arithmetic sequence or Arithmetic progression is a series of numbers where the difference between each number and the number preceding is equal.

Arithmetic sequence is described by the formula aₙ=a₁+(n-1)d.

where aₙ is the n-th term of the sequence

a₁ is the first term of the sequence , n is the number of terms in the sequence and d is the common difference.

The terms of the arithmetic sequence are of first term a and common difference d are a , (a + d), (a + 2d) , (a + 3d)....

The sum of n terms of an arithmetic sequence is given by

Sₙ=a₁+aₙ where aₙ is the last term of the AP.

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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:

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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The independent variable in the children got out of the pool when their mother said it was time to leave is D. The mother.

It should be noted that an independent variable simply means a variable that can stand alone without being changed by the other variables.

It should be noted that from the information given, the statement is that the children got out of the pool when their mother said it was time to leave.

Therefore, the independent variable in the children got out of the pool when their mother said it was time to leave is the mother as she's not influenced by others.

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Answer:

You should redo your user name

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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Answer: C

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

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.

Answer: Table 3,

x :  -9   -7    -5   -3    -1

y: -25   -21   -17  -13   -9

has same slope as line given equal to 2.

Step-by-step explanation:

Slope between two points having coordinates,  (x1, y1) (x2,y2) which lie in a coordinate plane is given by:

coordinate plane is given by:

                                = (y2 - y1) / (x2 - x1)

We can see table 1,

Then we can write,

                           = (-7 - (-9) ) / (-21 - (-25) )

                           = (-7+9) / (-21+25)

                           = 2/4

                           = 1/2

We can see table 2,

Then we can write,

                         = (7-9) / (-21 - (-25) )

                         = -2/-21+25

                         = -2/4

                         = -1/2

We can see table 2,

Then we can write,

                              =  (-21 - (-25) ) / (-7 - (-9) )

                              = (-21+25) / (-7+9)

                              = 4/2

                              = 2

Now, slope of line which passes through (0,-3) and (3,3) is

                              = (3 - (-3)) / 3-0

                              = 3+3/3

                              = 6/3

                              = 2

Table 3,

x :  -9   -7    -5   -3    -1

y: -25   -21   -17  -13   -9

has same slope as line given equal to 2.

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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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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

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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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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-8p-9=8-5p-9

-8p+5p=9-9+8

=3p=8

=3p÷3=8÷3

=p=2.6666

=p=2.67

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

Answer:

1,524,211 square miles is equal to 3,947,688 square km

i'm not sure about the second part but i think this is actually the right answer to the first part

Step-by-step explanation: