Write the domain and range of the function using interval notation.

The correct option is (3) 5/2

The slope of a line perpendicular to m is 5/2.

The slope of a line can be find by dividing its vertical change, or the rise of line by its horizontal change or the run . No matter which two locations on the line you choose, the slope of a line is always constant (it never varies). The word "slope" is represented by the letter "m," and it describes how steep a line is.

In the given question,

from the graph take any two points on the line say point A (2,1) and point B (-3,3)

now using the slope formula,

slope = m1 = [tex]\frac{delta \ Y}{delta \ X} = \frac{y2-y1}{x2-x1}[/tex]

=> m1 = [tex]\frac{3-1}{-3-2} = - \frac{2}{5}[/tex]

Now, for perpendicular lines:

m1.m2 = -1

=> m2 = 5/2

Thus, slope of a line perpendicular to m is 5/2.

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The complete question is:

Given line m  graphed on the grid shown, which of the following would be the slope of a line perpendicular to m ?

(1) -3 /2

(2) 7/3

(3) 5/2

(4)  -3/4

The cost to carpet the bedroom of size 11 feet × 11 feet will be equal to $1332.90.

What is area of rectangle ?

Area of rectangle is the region occupied by a rectangle within its four sides or boundaries.

It is given that size of bedroom is 11 feet by 11 feet.

Carpet costs $33.05 per square yard.

Firstly, we need to find out the the area of bedroom in feet. The room has the shape of a rectangle.

We know that , the area of rectangle is given by :

A = Length x Width.  

So ,

Area of room will be :

= 11 x 11

= 121 square feet

Convert this area of the room in square feet to square yards.

We know that , 1 feet = 1/3 yards

So , 121 square feet will be :

= 121 /3

= 40.33 square yards

So , the cost to carpet the bedroom will be :

= 40.33 x $33.05

= $1332.90

Therefore , the cost to carpet the bedroom of size 11 feet × 11 feet will be equal to $1332.90.

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The solution using the elimination method for the values of x, y and z are -1, 3 and 4 respectively.

To solve multiple equation in three variables using the elimination approach, we can either add or subtract the equations. To eliminate a variable, we add the equations when the coefficients of one variable are in opposition, and subtract the equations when the coefficients of one variable are equal.

Let us classify the given equations as:

3x + 4y - 5z = -11   →→→→ (A)

4х + у- z  = -5      →→→→→(B)

x- 3y + 3z = 2      →→→→→(C)

Multiplying equation(C) by 3 and equation (A) by 1 and subtracting we get:

3x + 4y - 5z = -11

3x  - 9y + 9z=    6

13y-14z=-17→→→→→→(D)

Multiplying equation(C) by 4 and equation (B) by 1 and subtracting we get:

4x-12y+12z = 8

4x + y - z    = -5

-13y+13z=13

or, z-y=1→→→→→→→(E)

Multiplying equation(E) by 13 and equation (D) by 1 and adding we get:

-13y+13z=13

13y-14z  =-17

-z=-4

or, z = 4

Substituting the value of z in the equation (E) we get:

z-y=1

or,  4-y = 1

or, -y = -3

or,  y = 3

Substituting the value of z and y in the equation (A) we get:

3x+4y-5z=-11

or, 3x+12-20=-11

or, 3x=-11+8

or, x=-1

Hence the solution of x, y and z are -1, 3 and 4 respectively .

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Answer:

the first question is multipleling or division

the second one js given

the third one commutative property

the forth one is disturve property

last one is addition or sub

Answer:

Given, Distributive Property, Addition or Subtraction Property of Equality, Multiplication or Division Property of Equality, Commutative Property

I hope I helped!

The value of 1,999,999 with an exponent of 0 is 1,999,999 × 10⁰

Exponentiation is a mathematical process that involves the base b and the exponent or power n. It is represented as bn and is pronounced as "b to the n."

Knowing that every number raised to the power of zero equals one is necessary before we can simplify using a zero exponent. Hence:

1,999,999 = 1,999,999 × 1

Since 1 can be expressed as 10⁰, the value becomes:

1,999,999 = 1,999,999 × 10⁰

Therefore, the value of 1,999,999 with an exponent of 0 is 1,999,999 × 10⁰.

The complete question is given below:-

Simplify 1,999,999 with an exponent of 0

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the slope of the linear equation is 120, then the correct option is the third counting from the top.

For any linear equation with two points (a, b) and (c, d), the slope (or rate of change) of that line is given by:

s = (d - b)/(c - a)

So here we can use the first two points so we get:

(0.5, 60)

(1.5, 180)

With these two points we will get the slope:

s = (180 - 60)/(1.5 - 0.5) = 129

We conclude that the slope is 120, then the correct option is the third counting from the top.

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Percentage, a relative value indicating hundredth parts of any quantity. One percent (symbolized 1%) is a hundredth part. Price Elasticity of Supply is 2.185.

Percentage, a relative value indicating hundredth parts of any quantity. One percent (symbolized 1%) is a hundredth part.

Price Elasticity of Supply is buyers' responsive change in quantity supplied due to change in Price.

P Es Formula = % change in quantity supplied / % change in price.

Given : % change in supply = 59 ; % change in price = 27

So, P Es = 59 / 27 = 2.185

% change in supply > % change in price & supply is > 1 . So, Supply is Elastic.

Therefore the price elasticity of supply for Barbie's Bakery's multigrain loaf is 2.185.

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Second blank is 6 windows for every 1 penguin

given,

there are _18_ windows for every 3 penguins.

There are _6_ windows for every 1 penguin.

its is already given that 3 penguins = 18 windows,

the first blank is 18

To get number of windows for 1 penguin, we divide 18 by 3,

18/3=6

therefore second blank is 6 windows for every 1 penguin.

Window functions—otherwise known as weighting functions, tapering functions,  functions—are mathematical functions that are zero-valued outside the chosen interval. They are well established as a vital part of digital signal processing.

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Answer:

A

Step-by-step explanation:

In math, symmetry is when an object, thing, etc is identical on both ends. Split a horizontal(left to right) line through the middle of each letter.  Every letter has identical top and bottom sides except for A.

Therefore, the answer is A.

Answer:10

Step-by-step explanation:

6+4=10

The possible sets of the solution of the expression given as √0 + 7 are integer, whole number, natural number, rational number and real numbers

The expression is given as

√0 + 7

Start by evaluating the radical expression

So, we have

√0 + 7 = 0 + 7

Continue by evaluating the sum of the terms

So, we have

√0 + 7 = 7

The above implies that the result of the expression √0 + 7 is 7

The sets the number 7 belong to are:

Hence, the possible sets of the solution of the expression given as √0 + 7 are integer, whole number, natural number, rational number and real numbers

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Answer:

13.

Step-by-step explanation:

1) if the required number of years is 'x', then it is possbile to make up the equation:

43+x=2(15+x);

2) finally, x=13 [years].

In arithmetic, a shape is translated when it is moved up, down, left or right. The translated shapes are congruent to the original shapes because they appear to be the same size. Just one or more of their routes have been changed. No changes to the shape are made because it is simply being moved from one location to another.

By utilizing the aforementioned guidelines, we can move the provided graph to the left, right, up, or down and graph the translated graphs. The coordinates of some points on a graph can be used to translate a graph as an alternative to this. Translation f(x + k) + C for a function graph To get the new x and y coordinates of each point when the graph of the function f(x) is supplied, simply select a few key spots on the graph (where the shape is changing or turning) and proceed as follows.

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Answer:

Not 100% sure

Step-by-step explanation:

Image result for how to simplify 5(2x-8) using distributive property

The formula for the distributive property is expressed as, a × (b + c) = (a × b) + (a × c); where, a, b, and c are the operands. Here, the number outside the brackets is multiplied with each term inside the brackets and then the products are added.

Inequality that represents the coordinates that are not the solutions of this inequality is x < 7.5. The graph of the inequality is attached at the end.

The various operators used in inequalities for expression are -

Given is a inequality in one variable which is → x + 3.8 > 11.3.

PART - A

The inequality that represents the coordinates that are not the solutions of this inequality is -

x + 3.8 < 11.3

or

we can simplify it to get -

Subtract 3.8 from both sides -

x + 3.8 - 3.8 < 11.3 - 3.8

x < 7.5

PART - B

In order to plot the graph of this inequality, firstly we will plot the line of equation -

x = 7.5.

Since, the inequality is strict, make a dashed line to represent the equation.

Take the coordinates of origin O(0,0), and substitute it in the inequality -

0 < 7.5

which is true. Therefore, we will shade the complete side where origin lies.

The graph of the inequality is plotted an attached with the answer.

Therefore, inequality that represents the coordinates that are not the solutions of this inequality is x < 7.5. The graph of the inequality is attached at the end.

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We need to know about concept of work done on spring to solve the question.The natural length of the spring is 5cm.

We will need to make assumptions to solve this problem, we will assume that the natural length of the srping is [tex]x_{0}[/tex] and the work done to stretch the spring from it's natural length to a specific length is given by

W=[tex]\frac{1}{2} k(x-x_{0} )^{2}[/tex] , where W is the work done, x is the final length of the spring

We have to find out the work done to get to 7cma nd 9cm separately and then subtract one from the other to get the work done to stretch from 7cm to 9cm. We repeat the process for 9cm and 11cm and we will find the final result which is the natural length.

W=[tex]\frac{1}{2} k(7-x_{0} )^{2}[/tex]

W=[tex]\frac{1}{2} k(9-x_{0} )^{2}[/tex]

[tex]\frac{1}{2} k(9-x_{0} )^{2} -\frac{1}{2} k(7-x_{0} )^{2} =0.6\\(9-x_{0} )^{2} - (7-x_{0} )^{2} =\frac{1.2}{k}[/tex]...(i)

W=[tex]\frac{1}{2} k(9-x_{0} )^{2}[/tex]

W=[tex]\frac{1}{2} k(11-x_{0} )^{2}[/tex]

[tex]\frac{1}{2} k(11-x_{0} )^{2} -\frac{1}{2} k(9-x_{0} )^{2} =1\\(11-x_{0} )^{2} -(9-x_{0} )^{2} =\frac{2}{k}[/tex]...(ii)

Dividing equation (ii) by (i)

[tex]\frac{(11-x_{0} )^{2} -(9-x_{0} )^{2} }{(9-x_{0} )^{2} -(7-x_{0} )^{2} } =\frac{2}{1.2} \\\frac{(20-2x_{0} )2}{(16-2x_{0})2 } =\frac{1}{0.6} \\12-1.2x_{0} =16-2x_{0} \\0.8x_{0} =4\\x_{0} =5[/tex]

Thus using the concept of work done to stretch a spring we get the natural length of the spring which is 5cm.

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The relationship c(x) = 4.5+ 0.32x it is a linear relationship.

The factor 0.32 is used to reduce the cost of the weight before adding to the fixed cost of  4.5

Given data

c(x) = 4.5+ 0.32x

The relationship c(x) = 4.5+ 0.32x it is a linear relationship.  It can be compared to the equation of a straight line which is

y = mx + c

m is the slope and c is the y intercept

The comparison shows that

y = c(x)

c = 4.5

m = 0.32

If the cost is related with the relationship c(x) = 4.5+ 0.32x.

it can be seen that even when there is no weight or no salad that is at    x = 0 the cost is c = 4.5.

This means that there is a fixed cost of 4.5 for any salad weight, in ounces bought.

The factor 0.32 is used to reduce the cost of the weight before adding to the fixed cost of  4.5.

The 0.32 is a reduction factor because the value is less than 1 and will reduce any number it multiplies.

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The expression which represents the perimeter, in centimetres of the rectangle as described in the task content is;

According to the task content, the expression which represents the perimeter, in centimetres of the rectangle as described in the task content is to be determined.

Since the perimeter of a rectangle is given by the formula;

Perimeter = 2(l +w).

where; l = (10v +10) and w = (9v -3)

Therefore, the expression which represents the perimeter is;

P = 2(10v +10 + 9v -3)

P = 2 (19v +7)

P = 38v +14.

Ultimately, the expression which represents the perimeter, in centimetres of the rectangle as described in the task content is; 38v +14.

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Answer Valerie can afford 21,312 car

Step-by-step explanation:

Answer:

22d

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

Plug 7 in for wherever there's an "x."

f(x) = 2(7) - 6

f(x) = 14 - 6

f(x) = 8

Now subtract 9 from 8.

8 - 9 = -1

Answer:

e = 5h

$100

Step-by-step explanation:

Let e = earnings

e = 5h

For h = 20,

e = 5h = 5(20) = 100

Answer:

$ 100

Step-by-step explanation:

1 hour = $ 5

h (hours worked in a week) = 20 hrs

EXPRESSION: amount of money earned in a week = h × 5

EVALUATION: amount of money earned in a week = 20 × 5

amount of money earned in a week = $ 100 ... answer

hope that helps...

the remainder as a fraction= 49

Solution :

Divide two numbers, a dividend and a divisor, and find the answer as a quotient with a remainder. Learn how to solve long division with remainders or practice your own long division problems and use this calculator to check your answers.

Long division with remainders is one of two methods of doing long division by hand. It is somewhat easier than solving a division problem by finding a quotient answer with a decimal. If you need to do long division with decimals use our Long Division with Decimals Calculator.

Long Division:

Long Division is a method for dividing large numbers, which breaks the division problem into multiple steps following a sequence. Just like the regular division problems, the dividend is divided by the divisor which gives a result known as the quotient, and sometimes it gives a remainder too. Let us learn more about the long division method along with its steps and examples in this article.

5549 divided by 220 =

[tex]\frac{5549}{220} = 25*220+49\\\\\\so , quotient = 25\\divisor = 220\\reminder = 49\\\\divided = 5549[/tex]

the remainder as a fraction= 49

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Answer:

C 24 169|220

Step-by-step explanation:

I'm on the quiz

The solution to the system of linear equations is (x, y) = (2, 3).

Graphic methods are useful to solve systems of two linear equations with two variables, as it is seen in the statement of the problem. In accordance with geometry, a line can be constructed by knowing the coordinates of two distinct points on Cartesian plane. First, rewrite each linear equation into its explicit form:

y = 2 · x - 1                      (1)

y = - 3 · x + 9                  (2)

Second, look for two points lying on each line:

y = 2 · x - 1

(0, - 1) and (1, 1)

y = - 3 · x + 9

(0, 9) and (- 3, 6)

Third, plot the points on a Cartesian plane and pass each line through corresponding pair of points. The result is presented by the image attached below.

The solution to this system is the point of intersection of the two lines. The point of intersection is (2, 3).

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Answer:  3 answer

Step-by-step explanation:

The amount that Yolanda can expect to have in her account at the end of 2 years is $8,068.28.

The amount of money that Yolanda deposits twice in a year represents an annuity. An annuity is a series of payment that is made over a specified period of time. An ordinary annuity is when payment is made at the end of each period and not at the beginning of the period. Yolanda's deposit is an ordinary annuity.

When the amount deposited in an account earns interest that is compounded semi-annually, it means that both the amount that is invested and the interest that is already accrued increases in value two time in a year, every six month.

The formula that can be used to determine the future value of the amount that was deposited in the account is:

Future value = amount deposited x annuity factor

Annuity factor = {[(1+r)^n] - 1} / r

Where:

1,900 x[ {(1.04^4) - 1} / 0.04] = $8,068.28

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Using the normal distribution, it is found that:

a) 167 students in the class can be expected to receive a score over 60.

b) 11.07% of the class is expected to receive a score between 82 and 90.

The z-score of a measure X of a normally distributed variable with mean represented by [tex]\mu[/tex] and standard deviation represented by [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The mean and the standard deviation for the scores are given, respectively, by:

[tex]\mu = 72, \sigma = 9[/tex]

The proportion of students who scored over 60 is given by one subtracted by the p-value of Z when X = 60, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Z = (60 - 72)/9

Z = -1.33.

Z = -1.33 has a p-value of 0.0918.

1 - 0.0918 = 0.9082.

Out of 184 students:

0.9082 x 184 = 167.

167 students in the class can be expected to receive a score over 60.

For item b, the proportion is the p-value of Z when X = 90 subtracted by the p-value of Z when X = 82, hence:

X = 90:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Z = (90 - 72)/9

Z = 2.

Z = 2 has a p-value of 0.9772.

X = 82:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Z = (82 - 72)/9

Z = 1.11

Z = 1.11 has a p-value of 0.8665.

0.9772 - 0.8665 = 0.1107.

Hence:

11.07% of the class is expected to receive a score between 82 and 90.

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The square roots of 36,196,225 and 400 are ±6,±14,±15 and±20

There exits two square roots of any number one with positive sign and one with negative sign

The first number we have is 36

The square roots of 36 = ±√36 = ±6  or it can be written as 6 and -6

The second number we have is 196

The square roots of 196 = ±√196 = ±14 or it can be written as 14 and -14

The third number we have is 225

The square roots of 225 = ±√225 = ±15  or it can be written as 15 and -15

The fourth number we have is 400

The square roots of 400 = ±√400 = ±20  or it can be written as 20 and -20

Hence, the square roots of 36,196,225 and 400 are ±6,±14,±15 and±20

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