Jared writes a multiplication expression with eight rational factors. Half of the factors are positive and half are negative.

Is the product positive or negative? Why?

Answer:

(7x+3)

Step-by-step explanation:

Answer:

the total number of employees needed is 35 cashiers + 100 floor assistants = 135 employees.

Step-by-step explanation:

Answer:

2,6,7,8,9 because if doubled it should equal more than ten

The required inequality is 437 + 36x ≥ 500, where x is the number of miles he should walk each day to meet his goal.

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

Given,

His trip length was 437 miles, and he had 36 days left.

If x is the number of miles covered each day, then the remaining miles to

Then the remained miles to cover = number of days remained × miles  covered in each day

Thus, his trip length = already completed miles + remaining miles

= 437 + 36x

As per the question,

Total miles ≥ 500 miles

⇒ 437 + 36x ≥ 500

Thus, the required inequality is 437 + 36x ≥ 500.

Learn more about the inequalities here:

brainly.com/question/20383699

#SPJ1

1) In geometry, the coordinate is used as to write the equations of lines as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

2) By showing that the opposite sides of the quadrilateral are congruent.

3) To prove the figure is a rhombus you must verify that all sides are the same length.

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

1) Let two points on the line are (x₁ , y₁) and (x₂, y₂).

Then, The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = (y₂ - y₁) / (x₂ - x₁) (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

2) We know that;

Opposite angles in a quadrilateral are congruent, and Parallel lines have congruent corresponding angles.

Hence, In coordinate geometry, By showing that the opposite sides of the quadrilateral are congruent.

3) In coordinate geometry, To prove that it is a rhombus, remember that the definition of a rhombus is a quadrilateral with four congruent sides. Therefore, to prove it is a rhombus you must verify that all sides are the same length.

Learn more about the equation of line visit:

https://brainly.com/question/18831322

#SPJ1

Answer:

14/70

Step-by-step explanation:

Answer:

If AP and DQ are altitudes, AP= 6, DQ = 10, and DE = 12, then AB = 8.

Step-by-step explanation:

Using matrix multiplication and addition, the total production cost for the items ordered by a customer is $2,692.

The total production cost consists of the costs of direct materials, direct labor, and overheads.

Overhead costs include indirect costs of materials, labor, and other production costs not traceable to each produced unit.

The total production cost is determined using matrix multiplication where the number of columns of the first matrix equal the number of rows of the second matrix.

                      Desks     Chairs     Tables    Cabinets

Materials         $5            $5           $10           $13

Labor               15              12             10             18

Overhead         5               5              3             20

              Number

Desks         10

Chairs        60

Tables       40

Cabinets     2

Production Costs for the Ordered Items:

                      Desks     Chairs     Tables    Cabinets              Total

Materials       $150         $300       $400      $26 ($13 x 2)     $876

Labor              150            720         400         36 ($18 x 2)     1,306

Overhead        50            300         120          40 (20 x 2)         510

Total costs  $350       $1,320      $920       $102               $2,692

Learn more about matrix multiplication at https://brainly.com/question/12076657

#SPJ1

What is the total production cost of the ordered units?

The graph of the system of equations can be seen on the last image, there we can see that the solution is (-4, -3).

To do so, we just need to graph both equations no the same coordinate axis, and then find the point where the graphs intercept (if they do).

That point will be the solution of the system of equations.

Here the system is:

y = 2x + 5

y = (1/2)*x - 1

And the graph of the equations can be seen below. There we can see that the lines intercept at (-4, -3), so that is the solution.

Learn more about systems of equations at:

https://brainly.com/question/13729904

#SPJ1

Option A : The circle represented in the third quadrant has the centre lying at (-3, -1)

The location of a circle in the Cartesian plane is represented by a circle equation. We can construct the equation for a circle if we know the location of the circle's center and how long its radius is. All of the points on the circle's circumference are represented by the circle equation.

The group of points whose separation from a given point has a constant value are represented by a circle. The radius of the circle, abbreviated r, is a constant that describes this fixed point, which is known as the circle's center. The equation (x- x₁)²+(y-y₁)²=r²describes a circle with a center at (x₁,y₁) and a radius of r.

There are different forms to represent the equation of a circle :

The equation of the circle is

(x + 3)² + (y + 1)² = 9

The centre of the circle will be at (-3, -1) from the equation .

Option A :The circle represented in the third quadrant has the centre lying at (-3, -1)

To learn more about Equation of circle refer to :

https://brainly.com/question/28997523

#SPJ1

The the vertices of reflected square, Q'R'S'T are Q' = (3, 1), R' = (-8, -2), S' = (-7, -7) and T' = (-2, -6)

A reflection is a mirror image of the shape. An image will reflect through a line, known as the line of reflection. A figure is said to reflect the other figure, and then every point in a figure is equidistant from each corresponding point in another figure.

Given that, a square QRST with vertices Q(-3, 1), R(8, -2), S(7, -7) and T(2, -6)

is reflected across y-axis, to form Q'R'S'T we need to find the vertices of reflected square.

We know that, rule of reflection over y-axis,

(x, y) → (-x, y)

Q' = (3, 1)

R' = (-8, -2)

S' = (-7, -7)

T' = (-2, -6)

Hence, the the vertices of reflected square, Q'R'S'T are Q' = (3, 1), R' = (-8, -2), S' = (-7, -7) and T' = (-2, -6)

Learn more about reflection, click;

https://brainly.com/question/30270479

#SPJ1

The new average of the students is 25.368.

In maths, the average value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values. When we need to find the average of a set of data, we add up all the values and then divide this total by the number of values.

Given that, in a group of 24 students attending a party, the average age is 25.3 years.

A 27-year-old student joins the party.

So, the new average is (24×25.3+27)/25

= 634.2/25

= 25.368

Therefore, the new average of the students is 25.368.

To learn more about an average visit:

https://brainly.com/question/11195029.

#SPJ1

The value of a for the given expression will be -3.31.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the expression is 3.6= − a/0.8 − 1.6 − 0.8 a ​ −1.6. The value of a will be calculated as below,

3.6 = − a/0.8 − 1.6 − 0.8 a ​ −1.6

3.6 + 1.6 + 1.6 = -a / 0.8  - 0.8a

6.8 = ( -a - 0.64a ) / 0.8

5.44 = -1.64a

a = -3.31

Therefore, the value of a will be -3.31.

To know more about an expression follow

https://brainly.com/question/388367

#SPJ1

the equation 4x + 5x^2 -7x in standard form will be 5x² -3x and The value of a, b, and c will be 5, -3, and 0

ax²+bx+c=0, with a not, equals 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem. The answer could be simple or complicated.

Given a quadratic equation  4x + 5x^2 -7x

From the Standard form of a quadratic equation:

ax²+bx+c=0

In our case,

=>  4x + 5x^2 -7x

=> 5x² -3x

Comparing both equations we get the:

z = 5

b = -3

and c = 0

Therefore,  the equation 4x + 5x^2 -7x in standard form will be 5x² -3x and The value of a, b, and c will be 5, -3, and 0.

Learn more about Quadratic equations here:

https://brainly.com/question/22364785

#SPJ1

The operation you would use is multiplication; there is about 0.95 liter in 1 quart. Multiply when converting larger units to smaller units. (option C).

Multiplication is the operation that is used to determine the product of two or more numbers. The sign that is used to denote multiplication is ×. Multiplication is one of the operations in maths. Other operations in mathematics ae addition, division and subtraction.

1 quart = 0.95 liters

In order to convert 100 quart to liters, multiply 100 by 0.95

0.95 x 100 = 95 liters

To learn more about multiplication, please check: https://brainly.com/question/13814687

#SPJ1

A line running through the points (2, 0) and (0, 4) has a slope of -2.

The slope of a line is defined as the change in y-axis of the line to the x-axis. Mathematically, it is expressed as:

Slope = Δy/Δx

Using the coordinate points (2, 0) and (0, 4) to determine the required slope:

Slope = 4-0/0-2
Slope= 4/-2
Slope = -2

Hence the slope of the line passing through the point (2, 0) and (0, 4) is -2

Learn more on slope of a line here: https://brainly.com/question/16949303

#SPJ1

The subject pronoun requested would be they and in Spanish would be "ellas".

In the Spanish language, there are two feminine pronouns that are often used as subjects in sentences, these pronouns are:

Ella - This is a singular pronoun equivalent to she

Ellas - This is a plural pronoun equivalent to "they", but again it is exclusively used for feminine nouns such as a group of women.

Based on this, the pronoun you are looking for is the pronoun "ellas", here is an example of how to use it: Ellas son amables.

Learn more about pronouns in https://brainly.com/question/16548443

#SPJ1

Answer:

The equation to represent Frederick's account balance after t years is:

A = 1050 * (1 + (0.051/365))^(365t)

Where A is the account balance and t is the number of years.

The option that shows a proportional relationship is selling 94 cars in 1 year (option D)

Two numbers or elements are said to be proportional if they have the same ratio. In this case, the ratio is 24 cars every 3 months, which can be simplified as 8 cars per month.

Based on this ratio, the option that is proportional is selling 96 cars in a year because this will means 96 cars in 12 months and 96/12= 8, which shows the ratio is the same.

Learn more about the ratio in https://brainly.com/question/13419413

#SPJ1

The money that Salma has to pay if she goes on 6 rides is $40 and if she goes on r rides then she has to pay 10+5r

A solution of an equation is any value of the variable that satisfies the equality, that is, it makes the Left Hand Side (LHS) and the Right Hand Side (RHS) of the equation the same value.

Given here: Admission price=$10 and ride fee= $5

Now if Salma goes for 6 rides than we have

Total fee= 10+5×6

               =$40

And if Salma decides to go for r rides than we can express the total cost as some function of the number of rides r

T(r)=10+5r

Hence, The money that Salma has to pay if she goes on 6 rides is $40 and if she goes on r rides then she has to pay 10+5r

Learn more about linear equations here:

https://brainly.com/question/545403

#SPJ1

The area of the square pyramid with the height of the triangular faces of 10 inches and the side length of the square base of 4 inches is 96 square inches. The correct option is therefore;

B. 96 in²

The surface area is the area or extent covered by the outer faces or boundary enclosures of the figure.

The description of the shape in the figure = Square pyramid

Side length of the square base of the square pyramid = 4 inches

Base length of the triangular slant faces = Side length of the square base = 4 inches

Height of the triangular faces = 10 inches

The surface area of the square pyramid is therefore;

Sum of the area of the four triangular faces + Area of the square base

Area of one triangular face = (1/2) × 4 × 10 = 20

Area of the square base = 4 × 4 = 16

The total surface area of the square pyramid is therefore;

A = 4 × 20 in² + 16 in² = 96 in²

Learn more on the surface area of regular shapes here: https://brainly.com/question/4025726

#SPJ1

The value of variable m is 4.

Two or more expressions with an Equal sign is called as Equation.

We have to find value of m

As Y is between X and Z it is taken as the midpoint.

The values of XY, YZ and XZ are given as below.

XY=9m−3 , YZ=6m+1 , and XZ=13m+6 .

We need to find the value of the variable m.

If we add xy and yx we get xz.

So by the equation xy+yz=xz we get the value m.

9m-3+6m+1=13m+6

Add the like terms

15m-2=13m+6

15m-13m=2+6

2m=8

Divide both sides by 2

m=4

Hence, the value of variable m is 4.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ1

Answer:

Step-by-step explanation:

The slope of a line can not be found between two points with the same x-coordinate, as division by zero is undefined. Hence, the line defined by the points (-2,10) and (-2,-15) is a vertical line and has no slope.

The y-intercept of a line is the point at which the line intersects the y-axis, i.e., the value of y when x=0. A vertical line does not intersect the y-axis, hence it has no y-intercept.

Since the line has no slope or y-intercept, its equation can not be written in the standard form of y = mx + b, where m is the slope and b is the y-intercept. Instead, the equation of the line can be written as x = constant, where constant is the x-coordinate of the points on the line, i.e., x = -2.

a) The double-declining-balance rate is 0.5 or 50%.

b) The double-declining-balance depreciation for the first year is $53800.

What is depreciation?

Depreciation is an accounting procedure that allows a business to distribute an asset's cost over the course of its useful life. In other words, it keeps track of how an asset's value decreases over time. In order to better align an asset's productivity in use to its operating costs over time, businesses depreciate assets on their financial statements and for tax purposes.

The formula of the double-declining-balance rate is 2 × (1/useful life)

Given that the building acquired at the beginning of the year at a cost of $107,600 has an estimated residual value of $4,300 and an estimated useful life of 4 years.

The double-declining-balance rate is

= 2 × (1/4)

= 0.5

= 50%

The double-declining-balance depreciation for the first year is

$107,600 ×  50%

= $107,600 × (1/2)

= $53800

To learn more about double-declining-balance, click on the below link:

https://brainly.com/question/17113992

#SPJ1

The difference between the area of Figure A and the area of Figure B is 2ft, So correct option is A.

A square grid is a two-dimensional pattern formed by a series of equally spaced horizontal and vertical lines that intersect at right angles, creating a regular array of squares. It can be thought of as a flat, two-dimensional lattice with a consistent spacing between the lines. A square grid can be used to represent many things, such as a map, a game board, a city plan, or a spreadsheet. In mathematics and geometry, a square grid is often used to represent coordinate systems, where each intersection of horizontal and vertical lines corresponds to a specific point with a unique set of coordinates. Square grids are also used in graphic design and art as a foundation for creating patterns, textures, and compositions.

The area of A= 3×4= 12 ft

The area of B= 4×3×1/2×4×2×1/2= 10 ft

12ft - 10 ft= 2ft

Cut down the triangle on the right of figure A, move it to left to form a rectangle, and then calculate the area of A.

To know more about rectangle visit:

https://brainly.com/question/14364643

#SPJ1

The complete question is:

Answer:902

Step-by-step explanation:

41×22=902

The sum of given polynomial is x⁴+x³+4x²-5x-8.

Addition of Algebraic Expressions is the process of collecting like terms and adding them. Identify and add the coefficients of like terms and sum them to find the final expression of given problems.

The given polynomials are x⁴-3x + 1, 4x²-2x+8, and x³-9.

Here, x⁴-3x + 1+4x²-2x+8+x³-9

= x⁴+x³+4x²-3x-2x-9+1

= x⁴+x³+4x²-5x-8

Therefore, the sum of given polynomial is x⁴+x³+4x²-5x-8.

Learn more about the addition of algebraic expressions here:

https://brainly.com/question/21443100.

#SPJ1

"Your question is incomplete, probably the complete question/missing part is:"

Add the following polynomials, then place the answer in the proper location on the grid. Write your answer in descending powers of x.

x⁴-3x + 1, 4x²-2x+8, and x³-9

On solving the provided question, we can say that  Make a table with the x,y coordinates of each vertex.

A coordinate system in geometry is a method that employs one or more integers or coordinates to identify the precise placement of points or other geometrical objects on a manifold, such as Euclidean space. Pairs of integers called coordinates are used to locate a point or object on a two-dimensional plane. The position of a point on a 2D plane is described by two integers known as the x and y coordinates. a group of numbers that represent precise positions. Usually, there are two numbers in the figure. The front-to-back distance is represented by the first number, while the top-to-bottom distance is represented by the second number. like in (12.5), when there are 12 units below and 5 above.

Make a table with the x,y coordinates of each vertex.

Vertical left side of the table  A ,B,C D.. A again (From top to bottom)

Horizontal top of the table : x,y(  From left to right)

Start at any vertex and go around the polygon in either direction.

Add the starting vertex again at the end.

Combine the first two rows by:

Multiplying the first row x by the second row y

Multiplying the first row y by the second row x

Subtract the second product form the first.

Repeat this for rows 2 and 3, then rows 3 and 4 and so on.

Add these results, make it positive if required, and divide by two.

To know more about coordinates  visit:

https://brainly.com/question/27749090

#SPJ1

Answer:

[tex]3 {x}^{4} - 6 {x}^{3} - 21 {x}^{2} - 2x + 8[/tex]

Step-by-step explanation:

One root being i, an imaginary number is throwing me off.. but I can give it a shot if youd like.

So a coefficient is the number Infront of the X. so for 6X^2, the coefficient is 6.

It says the Leading Coefficient is 3. The one option for that is 3x^4, so that will be the in the first blank.

The exponents now (the little numbers) start with 4 and go down 1 after each block. Which means the last two blocks will have no little numbers since it would be 1 and 0. Those don't need exponents.

For the block after the 21x^2, we have two choices. Either 6x or 2x

For the last block we have two choices also.

8 or 24

To find if it's 6x or 2x...

Its showing roots of -2, i, and 4 with multiplicity of 1, which means

x^2-4x+2x+8

x^2-2x+8

We have 2x and 8

Those must be the other two blocks

The polynomial x² + 6x + 9 can be factored as (x + 3)(x + 3).

What is polynomial?

The term "polynomial" in mathematics refers to a mathematical expression that consists of two or more algebraic terms that are added, subtracted, or multiplied (no division!). Constants and positive exponents are frequently used, along with at least one variable, in polynomial expressions. Polynomial definition: x2 = 4x + 7

A polynomial is an equation made up of indeterminates and coefficients that only uses addition, subtraction, multiplication, and positive-integer powers of variables.

The polynomial x² + 6x + 9 can be factored as (x + 3)(x + 3).

Therefore, the correct match is:

x² + 6x + 9 ------> (x + 3)(x + 3)

To know more about polynomial visit,

https://brainly.com/question/2833285

#SPJ1