Factor each expression. 2 x²+x-28

SportCo manufactured 6400 basketballs

SportCo manufacturers fixed expenses for producing basketballs = $46,270

Variable expense incurred per basketball produced = $6.50

Total expenses incurred by SportCo for producing basketballs= $87,870

Fixed costs are costs that remain constant regardless of whether more or fewer goods or services are produced or sold.

An expense for the company that varies according to how much is produced or sold is called a variable cost. Depending on a company's production or sales volume, variable costs grow or fall. They climb as production rises and reduce as production declines.

Let x be the number of basketballs produced by the manufacturer SportCo.

Formulating the equation we get:

Fixed cost + Variable cost*Number of basketballs produced = Total expenses incurred by the manufacturer

46270 + 6.5(x) = 87870

6.5(x) = 41600

x = 6400

Therefore, the number of basketballs produced is 6400 by the manufacturer.  

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Answer: its a 18

Step-by-step explanation:

Answer:

Step-by-step explanation:

8.2

Answer: 8.2

Step-by-step explanation:

sqrt(67) is more than sqrt(64) which is 8, but far from sqrt( 81) which is 9. It is less than half the disnatce between the two and therefore is less than 8.5.

Just put it in a calculator.....

The perimeter of the polygon is 232 units

From the question, we are to determine the perimeter of the regular polygon

From the diagram,

One of the polygon's side length is (4/3)x - 1/3

and another side length is x + 7

Since the figure is a regular polygon, we can write that

(4/3)x - 1/3 = x + 7

Now, solve for x

(4/3)x - 1/3 = x + 7

Multiply through by 3

4x - 1 = 3x + 21

4x - 3x = 21 + 1

x = 22

One of the polygon's side length is x + 7

∴ One side length = 22 + 7

One side length = 29

Since the polygon has 8 sides,

The perimeter of the polygon will be

8 × 29

= 232 units

Hence, the perimeter of the polygon is 232 units

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Answer:

Step-by-step explanation:

Answer:

what is the correct solution

Step-by-step explanation:

The bacterial cell length is 62.5 times smaller than the amoeba cell.

An equation is an expression that shows the relationship between two or more numbers and variables.

The length of a bacterial cell is about 4 x 10⁻⁶ m, and the length of an amoeba cell is about 2.5 x 10⁻⁴ m

Hence:

Ratio of Amoeba length to bacteria length = (2.5 x 10⁻⁴ m) / (4 x 10⁻⁶ m) =   62.5

The bacterial cell length is 62.5 times smaller than the amoeba cell.

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Answer:

the answer in scientific notation with the significant amount of digits is 6.25 x 10^2.

Step-by-step explanation:

you have to solve the equation and divide 0.00025 by 0.00004

you will get 6.25

and if you divide 2.5 by 4 you get 0.625 you have to move the decimal over to the right by 2 so you get the exponent of 2

The answer in scientific notation with the significant amount of digits is 6.25 x 10^2

Answer:

answer below

Step-by-step explanation:

1.the shape below has 4 edges

2.the shape below has 5 faces

3.the shape below has 8 edges

The value in Mexican pesos of an item that costs 15 Chinese yuan is 0.474 x.

x yuan to y dollars = f(x)

f(x) = 0.15 x

y dollars to x yuan =

y= 0.15 x

x =  [tex]\frac{y}{0.15}[/tex]

y dollars to x pesos =g(y)

g(y) =14.07 y

x pesos to y dollars

x = 14.07 y

y = [tex]\frac{x}{14.07}[/tex]

Substituting the result of second into first,

pesos → dollars → yuan

Lets call this function, h(x) = converts x pesos into y yuan.

h(x) = ( [tex]\frac{x}{14.07}[/tex] )/ 0.15

= 0.474 x

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The given values f(x) / g(x) =2 x+5 / x²-3 x+2

Given: f(x)=2 x+5 and g(x)=x²-3 x+2

f(x) / g(x) =2 x+5 / x²-3 x+2

The function operation of f(x) / g(x) =2 x+5 / x²-3 x+2

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The large square covers more

(See attachment below)

Explanation- The large square has the highest dimension and by extension, it has the highest area.

This means that, less large squares will be needed to cover more areas compared to other sizes of the squares

Area of the square =(side)².

square, in geometry, a plane figure with four equal sides and four right (90°) angles. A square is a special kind of rectangle and a special kind of parallelogram.

By observation,

9 small squares are equivalent to one large square, implying that the 5 large squares are giving us 45 small squares.

4 small squares can fit into one medium square, implying that the 10 medium squares are giving us 40 small squares.

There are only 10 small squares.

Hence, the large square covers more of the plane

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Answer:

A

Step-by-step explanation:

we need to find what they equal so we put them as equations against each other

value of x in given exponential equation is  =  1

In, mathematics a exponential function or equation is inverse of logarithmic function. That means, we can easily convert the logarithmic function into exponential function and vice versa. The basic form of the logarithm function can be written as  [tex]a^x[/tex] .

where, a is the base of function

           x is the expression

Mathematically, if  [tex]log_aN = x[/tex] is an logarithmic function then, this can be converted to exponential function as  [tex]a^x = N[/tex].

There are many formulas that are given to us for solving several simple and complex problems based on exponential functions and exponential equations.

Some important formulas of exponents :

According to given statement,

4^3x = 64

=> 4^3x = 4³

=> 3x = 3

=> x = 1

Thus solution for this equation is x =1.

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The length of the AC is: 10cm

Rectangle length : since, a rectangle is a 2-D shape, it is characterized by two dimensions, length, and width. Length is the longer side of the rectangle and width is the shorter side.

So we have to find the length of AC in which AB=6cm and BC=8cm

Step by step explanation :

AC2= 6²+8²= 100

So AC= 10cm

The angle between WC and AC is 16.7°

Angle: .The space (usually measured in degrees) between two intersecting lines or surfaces at or close to the point where they meet

So we have to find the angle between WC and AC , so here is a step by step solution:

tan θ=3/10                       θ= 16.7°

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Answer:

d=-2/3f+7

Step-by-step explanation:

Answer:

Step-by-step explanation:

rgvm

Answer:the answer is A haha

Step-by-step explanation:

i just did this kahn academy lesson-

The right response is Perimeter, x - 2y = 9.

The parameters listed in the question are:

A rectangle's perimeter is equal to 6 x – 2, its length to 2 x + 4, and its width to 2 y + 4.

The perimeter is calculated using the following formula: 2(L) + 2 (W)

6x - 2 = 2(2x + 4) + 2(2y +4) = 4x + 8 + 4y + 8

The result is: x - 2y = 9 and 2x - 4y = 18.

Consequently, the right response is x - 2y = 9.

The sum of a polygon's sides is what is referred to as its perimeter. For the perimeter calculation, the shape must be closed. And the polygonal shapes are either one- or two-dimensional.

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Answer:

6:22, 9:33

Step-by-step explanation:

When writing equivalent ratios, you use two of the numbers from the original ratio and multiply them evenly to get an equivalent ratio.

[tex]\mathrm{p:q~or~\frac{p}{q} = \frac{x(p)}{x(q)}}\\\mathrm{\frac{6 \times 2}{11 \times 2} = 6:22}\\\mathrm{\frac{6 \times 3}{11 \times 3} = 9:33}[/tex]

Answer:

6:22 and 9:33

Step-by-step explanation:

Answer: 6:22 and 9:33

Think of the ratio like a fraction, one way to find an equivalent ratio is to simplify the current ratio. But in this case, we are unable because we can divide 3 by 3 to get one, but not 11 by 3.

3 divided by 3 = 1

11 divided by 3 = does not evenly divide

Another way is to multiply both numbers by the same number.

3 times 2 = 6

11 times 2 = 22

And we can just keep doing the same with different numbers.

3 times 3 = 9

11 times 3 = 33

The product of 3.82 x 0.63 is 2.4066.

One of the four fundamental mathematical operations, along with addition, subtraction, and division .In mathematics refers to the continual addition of sets of identical size Multiplication in elementary algebra is the process of figuring out what happens when a number is multiplied by itself. Each of the numbers and is referred to as a factor of the product, which is the outcome of a multiplication is called as multiplication.

Given that,

The product of      

 3.82

x 0.63

 1146

2292 x

000 x  x

 2.4066

Therefore, the product of 3.82 x 0.63 is 2.4066.

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Answer:

The answer to your question is going to be c

According to the linear equation , the number of visits Valeria must make to earn a free movie ticket is 14.

According to the statement

We have to find that the linear equation.

So, For this purpose, we know that the

The definition of a linear equation is an algebraic equation in which each term has an exponent of one and the graphing of the equation results in a straight line.

From the given information:

She receives 80 rewards points just for signing up.She earns 7.5 points for each visit to the movie theater.She needs 185 points for a free movie ticket.

then

The linear equation becomes:

The equation that can be used to represent the explanation given in the question is : 185 = 80 + 7.5x

Then

Combine similar terms

185 = 80 + 7.5x

185 -80 = 7.5x

105 = 7.5x

x = 105 /7.5

x = 14.

So, According to the linear equation , the number of visits Valeria must make to earn a free movie ticket is 14.

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Answer:

Step-by-step explanation:

Answer:

y = 8.40x

y = the total amount that he earned and x = the number of hours that he worked.

Step-by-step explanation:

The value of  f(0) = 2 and f(-2) = -2 given the equation that we have in this image.

The function that we have here is given as

[tex]\frac{2x-2}{(x + 1)(x-1)}[/tex]

We have to find the value of f(-2)

= 2(-2) - 2 / (-2 + 1) (-2 - 1)

= - 4 - 2 / -1(-3)

= -6 / 3

= -2

Hence  f(-2) = -2

Next we have to find f(0)

2(0) - 2 / (0 + 1) (0 - 1)

= -2 / 1 * -1

= -2 / -1

= 2

Hence we can say that the value of  f(0) = 2 and f(-2) = -2 given the equation that we have in this image.

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4(x+2)

hope this helps

There are 496 black sedans in the parking lot and 640 non-black sedans in the parking lot.  The ratio of non-black sedans to black sedans is

40 : 31

Define Ratio ?

the quantitative relation between two amounts showing the number of times one value contains or is contained within the other.

There are 496 black sedans in the parking lot and 640 non-black sedans in the parking lot.

what is the ratio of non-black sedans to black sedans

divide by 2 , both the terms

640 : 496

320 : 248

160 : 124

80 : 62

40 : 31

Hence , There are 496 black sedans in the parking lot and 640 non-black sedans in the parking lot. Then the ratio of non-black sedans to black sedans is 40 : 31

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yes, it is a good deal as long as you use the card before a year.

Let's see how much you will save if you pay the $150.

If you want 6 hair cuts, you need to pay $30 6 times, so the total cost will be:

C = $30*6 = $180

If instead, you prepay $150, then you get the 6 cuts only for $150, saving a total of $30 (but the downpayment is 5 times larger than in the other case), but only if you plan to use the punch card for the other cut in the year, if you don't then this option does not make sense.

So, yes, it is a good deal as long as you use the card before a year.

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The result of simplifying the expression -(-27)⁻⁴/₃ using the exponent rules is 1/81

To solve this exercise we have to resolve algebraic operations following the exponent rules.

-(-27)⁻⁴/₃ =

(27)⁻⁴/₃

As we have a negative exponent, you have to pass the exponent to the denominator:

1/(27)⁴/₃

As we have a fractional exponent, you must convert the exponent to root:

1/[tex]\sqrt[3]{}[/tex](27)⁴

1/[tex]\sqrt[3]{}[/tex](531441)

1/81

In mathematics an exponent is the number of time that a number, called (base) is multiplied by itself. It is also called, power or index.

Example: 3² = 3*3 = 9

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Using the properties of logarithm the value of the expression is   [tex]log_{2}4 - log_{2}16 = -2[/tex]

We have been given two logarithm terms that is the first term is  [tex]log_{2}4[/tex] and second term is [tex]log_{2}16[/tex].

The propertied of logarithm that we are going to use are

          [tex]log a^{m} = m * log a[/tex]     and   [tex]log_{a} a = 1[/tex]

First we will find the value of the two terms and operate the above mentioned properties of logarithm to obtained the values of the logarithm.

Thus,

                [tex]log_{2}4 = log_{2}2^{2} \\ = 2* log_{2}2\\ = 2*1\\ = 2[/tex]         

Similarly,            

                 [tex]log_{2}16 = log_{2}2^{4} \\ = 4* log_{2}2\\ = 4*1\\ = 4[/tex]                          

Now subtracting both the terms by substituting its respective values which we have calculated above, we get

[tex]log_{2}4 - log_{2}16 = 2 - 4 = -2[/tex]

Thus the value of the expression is [tex]log_{2}4 - log_{2}16 = -2[/tex]

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The statement about the function y = −14x − 2 that is true is that A. As the value of x increases, the value of y increases. B.

It should be noted that the information is to get the dtatement about the function y = −14x − 2 that is true.

y = −14x − 2

Let's use x = 1

y = −14x − 2

y = -14(1) - 2 = -16

When x = 2, y = −14x − 2.

y = -14(2) - 2 = -40

It shows that as x increases, y will also increase.

Therefore, the correct option is A.

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