use the graph of the polynomial function to find the factored form of the related polynomial. Assume it has no constant

It takes 10 workers 5 days to complete a road repair when working 2 hours a day.

So, this becomes : [tex]2*5*10=100[/tex] man hours required to finish the work.

Given is, if 2 people work for 5 hours a day, then let the number of days to finish the road be = d

So, total man hours = [tex]2*5*d=10d[/tex]

Now, [tex]10d=100[/tex] or [tex]d=10[/tex]

Hence, it will take 10 days for 2 people working 5 hours daily, to complete the work.

It will take 10 days for 2 people working 5 hours a day to finish the road repair.

From the question;

10 workers can finish road repair in 5 days working 2 hours a day

We need to find;

The number of days required to complete the road repair by 2 workers  working 5 hours a day.

Assuming the number of days required to complete the work is x

Number of working hours of 10 people is 10 hours ( 2 hours a day for 5 days)

Number of working hours of 2 people is 5x hours (5 hours a day for x days)

Note that; the number of workers or people is inversely related to the number of working hours.

Therefore;

Product of number of people and working hours or work done is a constant

Thus;

10 × 10 =  2 × 5x

100 = 10 x

x = 10

Therefore;

2 workers working 5 hours a day will require 10 days to complete the road repair.

Keywords: rate of work, number of hours, number of days required to complete the job.

Level: Middle school

Subject: Mathematics

Topic: Rate of work

Answer:

4 is your answer

Step-by-step explanation:

Well every 15 minutes he walks 1 step. So divide an hour which is 60minutes by 15 minutes. Then the answer to that you multiply by 1. So the equation would be (60/15)x1= and you will find the answer.

mark brainliest please  :)

Answer:

4000 meters

Step-by-step explanation:

There are 60 minutes in an hour. Divide 60 by 14 and get 4. So she walks 4 km in an hour, but we want to know the answer in meters so we multiply 4 by 1000 to get 4000 meters.

Answer:

larger number=19

smaller number=7

Step-by-step explanation:

x=2y+5

x-y=12

(2y+5)-y=12

y+5=12

y=7

x=2(7)+5

x=14+5

x=19

Answer:

b=7,A=19

Step-by-step explanation:

A=2b+5

a-b=12

2) make both equations equal to 'a' by adding b on both sides so

a=2b+5,a=b+12

since both equations are equal to a, they are equal(is a=b then b=c property)

2b+5=b+12

this is a start, you can finish by combining the like terms and moving them to one side to get b=7 and a=19

HOPE THIS HELPS!!!

Answer:

C

Step-by-step explanation:

To write the equation of a line use the point slope form of a line substituting m = -1/2 and the point (-2,-3).

[tex]y -y_1 = m(x-x_1)\\y --3=-\frac{1}{2}(x--2)\\y+3 = -\frac{1}{2}(x+2)[/tex]

Convert to standard form by applying the distributive property and rearranging the terms.

[tex]y + 3 = -\frac{1}{2}(x+2)\\y+3 = -\frac{1}{2}x -1\\2y + 6 = -x -2\\x+2y + 6 = -2\\x + 2y = -8[/tex]

The equation x +2y = -8 is the same equation as 4y + 2x = -16 just doubled----> 2x + 4y = -16

y = 2x - 7

Inverse:

x = 2y - 7

x + 7 = 2y

(x + 7)/2 = y

Answer: y = x/2 + 7/2

Answer with explanation:

The given Linear equation is:

  y=2 x -7

→2 x= y +7

[tex]x=\frac{y+7}{2}[/tex]

Replacing , x by ,y and y by x to get inverse of the given function

 [tex]y=\frac{x+7}{2}[/tex]

2 y = x +7→→Inverse of the function, y= 2 x -7

→None of the Option Matches with the given options.

Answer:

Step-by-step explanation: Because

210 divided by 6= 35

and

210 divided by 3.50= 60

so the answer would be:

C) solve the system of equations to find the number of child and adult dinners served

Final answer:

[tex]\[ 25 \times 3 = 75 \][/tex]

Explanation:

To express the multiplication of 25 and 3 as a numerical expression, we use the multiplication symbol "×" to indicate the operation. Therefore, the numerical expression for the product of 25 and 3 is [tex]\( 25 \times 3 \).[/tex]

To calculate this, we simply multiply 25 by 3:

[tex]\[ 25 \times 3 = 75 \][/tex]

So, the result of the numerical expression[tex]\( 25 \times 3 \)[/tex] is 75.

3+|n•-9|=4

|n•-9|=1

n•-9=1 Or n•-9= -1

n= -1/9 n=1/9

n=±1/9

Answer:

The value of x is ± (1/9).

Step-by-step explanation:

Consider the provided statement.

If 3 is added to the absolute value of the product of a number and −9,

Now convert this into mathematical form.

Let the number is x then the product of number and -9 is -9x.

For absolute value we use the mode. Thus the required expression is:

3 + |-9x|

Now it is given that the result is equal to 4. Thus,

3 + |-9x| = 4

Solve the above equation as shown:

|-9x| = 4-3

|-9x| = 1

Now remove the mode by introducing ± sign as shown:

-9x = ± 1

-9x = 1 or -9x = -1

x = -1/9 or x = 1/9

Hence, the value of x is ± (1/9).

Answer:

Step-by-step explanation:

The equation of a circle:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

(h, k) - center

r - radius

We have:

[tex]x^2-2x+y^2+4y=4\qquad\text{add}\ 1^2\ \text{and}\ 2^2\ \text{to both sides}\\\\x^2-2x+1^2+y^2-2(-2)(y)+2^2=2(1^2)(2^2)\qquad\text{use}\ (a\pm b)^2=a^2\pm2ab+b^2\\\\(x-1)^2+(y-(-2))^2=8\\\\h=1,\ k=-2\to(1,\ -2)[/tex]

Answer:

B    (2,1)

Step-by-step explanation:

Answer: B. (2,1)

Step-by-step explanation:

The given system of equation :

[tex]y=2x-3...........................(1)\\\\y=-2x+5.............................(2)[/tex]

Adding equation (1) and (2), we get

[tex]2y=-3+5\\\\\Rightarrow\ 2y=2\\\\\Rightarrow\ y=1[/tex]

Substitute the value of y in the first equation , we get

[tex]1=2x-3\\\\\Rightarrow\ 2x=1+3\\\\\Rightarrow\ 2x=4\\\\\Rightarrow\ x=2[/tex]

Therefore, the solution to the given system of equations = (2,1)

Answer:

the length of y= 19 because in every letter you have been adding 2.

The correct answer is:

8 cm.

Answer:

Step-by-step explanation:either C or

B

U find the rate of change by using the equation:

Y^2-y^1

————-

X^2-x^1

You can use the formula to find the rate of change:

Rate of change = (y₂ - y₁) / (x₂ - x₁)

To find the rate of change using a graph, you need to determine the slope of the graphed line or curve at a specific point. The slope represents the rate at which the dependent variable changes with respect to the independent variable.

Here's a step-by-step process to find the rate of change using a graph:

a) Identify two points on the graph that you want to calculate the rate of change between.

These points should have known coordinates (x₁, y₁) and (x₂, y₂).

b) Calculate the difference in the dependent variable (y) between the two points: Δy = y₂ - y₁.

c) Calculate the difference in the independent variable (x) between the two points: Δx = x₂ - x₁.

d) Divide the difference in the dependent variable by the difference in the independent variable: Δy/Δx.

e) The result of this calculation represents the average rate of change between the two points. If you want to find the instantaneous rate of change at a specific point, you can make the interval between the two points infinitesimally small by moving the points closer together. In this case, the rate of change will be represented by the slope of the tangent line to the graph at that point.

By following these steps, you can determine the rate of change at a particular point on a graph.

Learn more about rate of change click;

https://brainly.com/question/29181688

#SPJ2

Answer: 8 times

Step-by-step explanation:

By definition, the sum of the exterior angles of a polygon is 360 degrees.

Therefore, each exterior angle of the polygon is:

[tex]\frac{360\°}{n}[/tex]

Where n is the number of sides of the polygon.

 The lengths of the sides of  a regular octagon are equal and the measures of the internal angles are equal too.

The sum of the exterior angles of a polygon is 360 degrees and it has 8 sides, therefore, the measure of each exterior angle is:

[tex]=\frac{360\°}{8}=45\°[/tex]

You know that the regular octagon rotates 360° about its center.

Therefore, keeping all the above on mind, you have that the number of times (which you can call x) the image of the octagon coincide with the preimage during the rotation is:

[tex]x=\frac{360\°}{45\°}=8\ times[/tex]

Answer:

618 600 000 000

Step-by-step explanation:

To convert the scientific notation of a large number to a decimal number, move the decimal point as many places to the right as indicated by the exponent of 10.

Use zeros for placeholders as needed.

6.186 × 10¹¹     Move the decimal point eleven places to the right

6.186 × 10¹¹ = 618 600 000 000.

We had to insert eight zeros as placeholders.

6.186 × 10¹¹ = 618 600 000 000

Answer:

it's easy if you're 3 below ground level then it would be -3 and now you just add 12

Step-by-step explanation:

-3+12=9

Answer: The was 6.

Step-by-step explanation: I got the question wrong.

Answer:

56

Step-by-step explanation:

-7+15 is 8 cause it's negative 7 you have to tecnaclly subtract 7 from 15 then you would multply it by 7

Answer: The answer is B. p-99

Step-by-step explanation: The price goes first and then since it’s reducing you put minus 99 since it’s decreasing the price of the game system. Hope this was helpful y’all have a blessed day

2066+1-2000+67

Step-by-step explanation:

The number 2067 in words is represented as Two Thousand and Sixty-Seven. For instance, the cost of a study lamp is Rs. 2067, then you can say, “The cost of a study lamp is Rupees Two Thousand and Sixty-Seven”. 2067 is a cardinal number. It is easy to convert any number into words using a place value chart. Hence, it is essential to use a place value chart to represent numerical names. Here, we will learn how to convert 2067 into words

Answer:

25

Step-by-step explanation:

Divide 17 by 68%.

Hope that helps!

Step-by-step explanation:

Let's set up a proportion.

17/x=68/100.

Now if we solve for x it would equal to 25. They played 25 games.

Brainliest? :)

Distribute the 4x to the 3x+2 to get 12x^2+8x

Multiply 2x and 3x to get 6x^2

then combine like terms to get your final answer of 6x^2+8x

The expression in simplest form which represent the area of the shaded region is,

[tex]6x^2+8x[/tex]

Area of rectangle is the product of the length of the rectangle and the width of the rectangle. It can be given as,

[tex]A=a\times b[/tex]

Here, [tex]a[/tex]is the length rectangle and [tex]b[/tex] is the width of the rectangle.

Given information-

The length of the inner rectangle is 2x.

The width of the inner rectangle is 3x.

The length of the outer rectangle is 3x+2.

The width of the outer rectangle is 4x.

As the area of the rectangle is the product of the length of the rectangle and the width of the rectangle. Thus, the area of inner rectangle is,

[tex]A_i=2x\times3x\\A_i=6x^2[/tex]

The area of outer rectangle is,

[tex]A_o=4x\times(3x+2)\\A_o=12x^2+8x[/tex]

The area of the shaded region is the difference of area of outer rectangle and the area of inner rectangle. Thus the area of the shaded region is,

[tex]A=A_o-A_i[/tex]

Put the values as,

[tex]A=12x^2+8x-6x^2\\A=6x^2+8x[/tex]

Hence, The expression in simplest form which represent the area of the shaded region is,

[tex]6x^2+8x[/tex]

Learn more about the area of rectangle here;

https://brainly.com/question/11202023

x²-8x=768

x²-8x-768=0

(x-32)(x+24)=0

x=32 x=-24

you use 32 because it can be negative

plug in for x

(32)(32-8)(1)=768

32×24=768

this isn't the completing the square method though this is zero product law

a. Equation that represents the volume of the rectangular prism glass is:  (x)(x - 8)(1) = 768

b. The dimensions are, length = 32 cm, width = 24 cm.

Volume = (l)(w)(h)

Given the following dimensions of the glass case:

a. Plug in the values into the volume formula to find the equation

(x)(x - 8)(1) = 768

x² - 8x - 768 = 0

b. Factorize x² - 8x - 768 = 0 to find the x, and find the dimensions of the rectangular prism glass

x² - 8x - 768 = 0

(x + 24)(x - 32) = 0

x= −24 or x = 32

The length cannot be a negative number, so:

Length of the glass = x = 32 cm

Width = x - 8 = 32 - 8 = 24 cm

Learn more about volume of rectangular prism on:

https://brainly.com/question/12917973

Answer:

option D

0 < t < 3

Step-by-step explanation:

Given in the question the equation

d = 144 - 16t²

where d is the distance

           t is the time

Since, it is a descent, d should be decreasing until it reaches zero

by plugging d = 0 in the equation

0 = 144 - 16t²

-144 = -16t²

144/16 = t²

t² = 9

take square root on both sides

√t² = √9

t = ±3

since time can't be negative so we will reject -3

t = 3

This means that at 3 seconds the roller coaster was at ground but before that it was in the air

so when t < 3 Greg's car was moving in the air.

Answer: Option C

Step-by-step explanation:

The solution from the number line is  (-∞,-3]∪[1,∞)

Given equation :

[tex]|x+b| ---2[/tex]

[tex](x+b) ----2[/tex] or

[tex]-(x+b)---2[/tex]

Putting b=1 and the inequality ≥ gives the required solution.

[tex]|x+1|\geq 2[/tex]

=> [tex](x+1)\geq 2[/tex] or [tex]-(x+1)\geq 2[/tex]

=> [tex]x\leq -3[/tex] or [tex]x\geq 1[/tex]

The inequality solved to give a solution of x ≥ 1 and x ≤ -3 is |x + 1| ≥ 2. b = 1, ≥

An inequality is an expression that shows the non equal comparison between two or more variables and numbers.

From the diagram, the solution to the inequality is x ≥ 1 and x ≤ -3

Hence:

|x + b| ≥ 2

x + b ≥ 2 or -(x + b) ≥ 2

x ≥ 2 - b or x ≤ -2 - b

2 - b = 1 and -2 - b = -3

b = 1

Hence |x + 1| ≥ 2

The inequality solved to give a solution of x ≥ 1 and x ≤ -3 is |x + 1| ≥ 2. b = 1, ≥

Find out more on inequality at: https://brainly.com/question/24372553

12 mph = 12 miles / 1 hour

= 12 miles / 60 minutes

= 12/60 miles/minute

=1/5 miles / minute

=0.2 miles/ minute

so ans is option c

Answer:

A and C are your answers.

Step-by-step explanation:

A because there is 5,280 ft in a mile.  and if you multiply that by 12 you will get 63,360. It is also C because in 60 minutes you will travel 12 miles if you are going 0.2 miles a minute. Hope this Helps!

Answer:

D. 30 2/3

Step-by-step explanation:

What you want to do is convert everything for feet, ill explain why later. 1 yard is 3 feet long. SO 9 x 3 = 27. 27 + 2 = 29 feet. The patio is 29 feet long.

5 x 3 = 15. 15 + 2 = 17 feet. So the patio is 29 x 17. To find the perimeter, you want to do: 29 + 29 + 17 + 17 = 92 feet. Convert it back to yards by doing 92/3. That equals 30.6667. In other words, 30 2/3. The answer is D. Hope this helps!

Answer:

Step-by-step explanation:

The problem is asking for the perimeter in yards, that means we have to transform feet to yards. Also, remember that the perimeter refers to the sum of all sides.

We know that 1 yard represent 3 feet. So:

[tex]2ft\frac{1yd}{3ft}=\frac{2}{3}yd[/tex]

That is, 2 feet represent 2/3 yards.

Now, we have to sum all sides:

[tex]2(9+\frac{2}{3})+2(5+\frac{2}{3})=18+\frac{4}{3}+10+ \frac{4}{3}=28+\frac{8}{3}=\frac{84+8}{3}=\frac{92}{3}=30\frac{2}{3}[/tex]

Therefore, the right answer is D.

Answer:

Either $41.64 per person or $42.07, depending on if they tip pre or post sales tax.

Step-by-step explanation:

b=98.75

x=6.5/100=0.065

p=20/100=0.2

If tipping on taxed subtotal:

T=[(bx+b)p+(bx+b)]/3

T=[(98.75(0.065)+98.75)(0.2)+98.75(0.065)+98.75]/3

T=42.07 per person

If tipping on untaxed subtotal:

T=(bx+bp+b)/3

T=(98.75(0.065)+98.75(0.2)+98.75)/3

T=41.64 per person

Answer:

x = √(12² + 35²) = √(144 + 1,225) = √1,369

= 37