Enrique predicts that he can make additional money from sales of accessories and service for computer products sold by his store. The table at the right shows predicted percent returns for such sales. For example, if the store makes x dollars selling computer products, Enrique predicts the store with make 0.05x dollars from selling accessories. Part A In January and February of this year, the store made $2,500 from sales of accesories and services. Let x represent the amount the store with make from sales of computer products from March through December. Write an equation that represents the predicted amount y that the store will make from sales of accessories and services for the entire year. If Enrique predicts sales from accessories and services for the entire year will be $5,000, about how much money must be made from computer product sales from March through December? Explain.

a) product of function f(x) and g(x) is 2x² - 6x - 8 and b) product of function that is in part a and an (x) is 2x³ - 4x² - 14x - 8.

Here are the three functions given:

f(x) = x -4

g(x) = 2x + 2

c(x) = x + 1

a) The product of function f(x) and g(x)

f(x). g(x) = (x -4). ( 2x + 2)

= x( 2x + 2) - 4(2x + 2)

= 2x² + 2x - 8x - 8

= 2x² - 6x -8

b) product of function f(x). g(x) and a(x)

f(x). g(x) . a(x) =( 2x² - 6x - 8 ). ( x + 1)

= x( 2x² - 6x - 8) + 1(2x² -6x - 8)

= 2x³ - 6x² -8x + 2x² - 6x -8

= 2x³ -4x² - 14x - 8

Therefore we get a) 2x² - 6x - 8 and b) 2x³ - 4x² - 14x -8.

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50 miles because of the miles

The total area of the shape that is formed by the two congruent parallelograms is: 721 cm².

To find the total area of the shape that is formed by the two congruent parallelograms, calculate the area of each face, then add all together.

The shape formed consist of:

Area of the 2 identical parallelograms:

Base = 15 cm

Height = 11 cm

Area = 2(15 × 11) = 330 cm²

Area of the 2 identical right triangles:

Base = 11 cm

Height = 11 cm

Area = 11 × 11 = 121 cm²

Area of the rectangle = length × width = 18 × 15 = 270 cm²

Total area of the shape = 330 + 121 + 270

Total area of the shape = 721 cm²

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Answer:

12% of men are left handed.

Step-by-step explanation:

Percent of men who are left handed =

325×100=3×4=12 3 25 × 100 = 3 × 4 = .

                  12%

I hope this helps!

Accupunture is best these days for medication and health therapy.

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The fraction of the surface of the cube which is white is 14/27

Given 27 cubes of 1 centimetre are conjoined to form a large cube of 3x3x3

To maximise the value of the surface area, in this case, taken as white, other than the cube in the centre, the rest of the cubes must have their white surface area exposed.

• Total Number of cubes where white surface area is exposed is = 27 – 1 = 26

Although, on each surface of the 3x3x3 cube, there are 9 smaller cube surfaces, and there will be a total of 6 surfaces for the bigger cube.

•      Total number of cube surfaces exposed in blue = 9 * 6 = 54

• Therefore, the greatest fraction in blue= 26/54 = 13/27

Therefore the fraction of the surface of the cube is white is = 1-[tex]\frac{13}{27}[/tex]= 14/27

The fraction of the surface of the cube which is white is 14/27 is the answer

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The fraction of the surface area of the cube which is white is 14/27

Given 27 cubes of 1 centimetre are conjoined to form a large cube of 3x3x3

To maximise the value of the surface area, in this case, taken as white, other than the cube in the centre, the rest of the cubes must have their white surface area exposed.

• Total Number of cubes where white surface area is exposed is = 27 – 1 = 26

Although, on each surface of the 3x3x3 cube, there are 9 smaller cube surfaces, and there will be a total of 6 surfaces for the bigger cube.

•      Total number of cube surfaces exposed in blue = 9 * 6 = 54

• Therefore, the greatest fraction in blue= 26/54 = 13/27

Therefore the fraction of the surface of the cube is white is = 1-(13/27)

= 14/27

The fraction of the surface of the cube which is white is 14/27 is the answer.

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Answer:

sum= 1080

Step-by-step explanation:

Answer:

The sum of an octagon is always 1080 degrees. The interior angles are usually all equal to 135 degrees, but this is an irregular octagon, making that not the case. Because the angles are not all equal, that does not mean that the octagon's sum is any different. Thus, the sum of the interior angles is 1080 degrees.

Hope this helps!

Answer:

x=-3

Step-by-step explanation:

The values of y with respect to the points created is constant, hence the two points will have the same y values but difference their respective x values

Answer:

13

Step-by-step explanation:

416/96 = 4.33333

416 is 4.333 times 96, so he needs 4.333 times 3 bundles.

4.3333 × 3 = 13

Answer: 13

Answer:

13

Step-by-step explanation:

you see how much it covers initially. (96/3=32) then 416/32=13

Answer:1

Step-by-step explanation:

The answer is one because the graph starts at 12$ and Wallace only needs $8.

Answer:

it depends on how long long is

Answer:

Step-by-step explanation:

x2-36=0

+36       +36

x2=36

/2     /2

x=18

Answer: (if A=P(1+rt) is your formula)

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 6.25%/100 = 0.0625 per year.

Solving our equation:

A = 15000(1 + (0.0625 × 7)) = 21562.5

A = $21,562.50

The total amount accrued, principal plus interest, from simple interest on a principal of $15,000.00 at a rate of 6.25% per year for 7 years is $21,562.50.

To solve f(1)+h(1) .....

plug in 1 for x in both equations f(x) and h(x):

f(1)=2(1)²+3(1)-4 = 2+3-4 = 1

h(1)= -(1)²+8 = -1+8 = 7

f(1)+h(1) = 1 + 7 = 8

Hope it helps!

The total number of completions Trevor  be expected to make is 25.

For the given question.

Let the number of completion by Trevor be 'x'.

Trevor completes 5 out of 8 passes.

Total passes are 40

Then, proportions set up is-

5/8 = x/40

x = 25

Thus, the total number of completions Trevor be expected to make is 25.

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The different arithmetic progression is [tex]11, 18, 25[/tex] and the rule is to add [tex]7[/tex].

What is an arithmetic progression?

A series of numbers known as an arithmetic progression or arithmetic sequence (AP) has a constant difference between the terms.

We have,

                      [tex]8, 11, 13, 18, 25, 37[/tex]

Given arithmetic progression is  [tex]8, 13, 18[/tex]  and the constant difference is [tex]5[/tex].

By using this phenomenon we can create new arithmetic progression like,

                                             [tex]11, 18, 25[/tex]

Here the constant difference or rule is [tex]7[/tex].

Hence the new and different arithmetic progression is [tex]11, 18, 25[/tex].

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Answer:

P = 10

Q=12

[tex]p = \frac{1}{q} [/tex]

a). p = 1/2 = 0.5

b). 1.25 = 1/Q

Q = 1/1.25 Q = 0.8

Answer:

P=6

Q= 9.6

Step-by-step explanation:

A)

y=k/x

substitute it in.

10=k/1.2

10×1.2=k

k=12

y=12/x

x=2

12/2=6

P=6.

B)

Since we know y=kx

we know k=12

you would do 12/1.25 to give u Q

12/1.25=9.6

The value of 'r' is 15 cm. Then the volume of the frustum will be 2625 cm³.

Volume is a measurement of three-dimensional space that is utilized. It is frequently mathematically quantified using SI-derived units or different imperial or US traditional units. The concept of length is linked to the notion of capacity.

By the similar triangle, then the value of r is calculated as,

r/30 = 20/40

r = 15 cm

Then the volume of the frustum is calculated as,

V = 1/3 × (30/2)² × 40 - 1/3 × (15/2)² × 20

V = 1/3 × [9000 - 1125]

V = 1/3 × 7875

V = 2625 cm³

The value of 'r' is 15 cm. Then the volume of the frustum will be 2625 cm³.

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Jodie has left 13.79 seconds to match the record.

What is a linear equation?

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions.

Here, we have

Jodie aimed to beat Mandy's 74.6-second mark on the obstacle course. She had already spent 10.56 seconds on the ropes and fifty-and-a-fourth seconds ascending the wall. To match the record, we must determine how much time she had remaining.

Jodie's total time for climbing the wall is fifty and one fourth seconds=50.25 seconds

The total time on ropes is 10.56 seconds

The total time she spent is 50.25+10.56=60.81

Left time = Record Time-Spent time

= 74.6-60.81 = 13.79

Hence, Jodie has left 13.79 seconds to match the record.

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We have : (a+b)^2 = a^2 + 2ab + b^2.

So, we can see here : the first term (3x) is a, the second term (a) is b.

For it to be expanded as such, the second term in the bracket must be equal to a^2 when it is squared.

Therefore, the missing term is a.

Recheck : (3x + a)^2 = (3x)^2 + 2.3x.a + a^2 = 9x^2 + 6ax + a^2.

With the help of standard deviation we can conclude our answer.

acc to our question-

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When John read 7 and 1/2 pages in 2/5 of an hour, the rate in pages per hour that he read is 18.75 per pages.

It should be noted that rate is used to show the comparison between two things.

In this case, John read 7 and 1/2 pages in 2/5 of an hour.

The number of pages read per hour will be the division of the values given. This will be:

= 7 1/2 ÷ 2/5

= 7.5 / 0.4

= 18.75 pages

The pages is 18.75 pages.

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The value for the number of red lights that Alice encounters are found.

X = no of red lights crossed by Alice.

X is Binomial distributed

In which  n=4, p=0.5, q = 0.5

Mean value is found by the formula,

Mean = np

Mean = 4×0.5

Mean = 2

And, variance = npq

Var = np(1-p)

Var = 4×0.5×0.5

Var = 1

PMF = ⁿCˣ0.5ˣ × 0.5 ⁽⁴⁻ˣ⁾

Thus, the value for  pmf, the mean, and the variance of the number of red lights that Alice encounters are found.

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The equation y = 10.5x - 5 is proportional

Given,

y = 10.5x - 5

We have to find this equation is proportional or not.

In mathematics, proportional relationships exist when two variables consistently change by the same multiple. The formula y = kx, where k is a constant multiplier that depicts the relationship between x and y, is used to represent proportional relationships. The line on the graph is always straight and goes through (0,0).

Here,

y = 10.5x - 5

10.5 is the constant multiplier that depicts the relationship between x and y.

So,

The equation y = 10.5x - 5 is proportional

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Answer:i had forgot

Step-by-step explanation:

Answer:4

Step-by-step explanation:

u add den subtract den divide then there

According to the model, the value of -6(10b + 0.8) will be -60b - 4.8.

An equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.

In this case, this is illustrated as:.

= -6(10b + 0.8)

Open the parentheses

= -60b - 4.8

Therefore, the value is -60b - 4.8.

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Answer:

Y = 2x+8

Step-by-step explanation:

Y=mx=b equations

Answer:

30

Step-by-step explanation:

( 2k - 2 )°, 90° and ( k + 2 )° are linear pair angles.

Sum of linear pair angle is supplementary ( that is 180 ),

2k - 2 + 90 + k + 2 = 180

2k + k + 90 = 180

3k = 180 - 90

3k = 90

k = 90/3

k = 30

Note : -

□ means 90°

The value of the three consecutive integers will be 10, 11, and 12.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

Three consecutive integers are such that three times the smallest is 18 more than the largest.

Let the three consecutive number be x, x + 1, and x + 2. Then the equation will be:

3x = (x + 2) + 18

Simplify the equation, then the value of the variable x will be:

3x = x + 2 + 182x = 20x = 20 / 2x = 10

Then the value of the integers will be:

x + 1 = 10 + 1 = 11x + 2 = 10 + 2 = 12

The value of the three consecutive integers will be 10, 11, and 12

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Answer:

x < -9

Step-by-step explanation:

2x + 4 < -14

Solve for "x"

Subtract 4 from both sides

2x + 4 < -14

2x + 4 - 4 < -14 - 4

Simplify

Subtract all the numbers

2x + 4 - 4 < -14 - 4

2x < -14 - 4

2x < -18

Divide both sides by the same factor

2x < -18

[tex]\frac{2x}{2}[/tex] < [tex]\frac{-18}{2}[/tex]

Simplify

Cancel the terms that are in both numerator and denominator

[tex]\frac{2x}{2}[/tex] < [tex]\frac{-18}{2}[/tex]

x < [tex]\frac{-18}{2}[/tex]

Divide

[tex]x < \frac{-18}{2}\\ x < -9[/tex]

The answer is [tex]x < -9[/tex]