100 POINTS!!

The graph of y = x(x + 1)(x - 1)(x-3) is shown.

which point is a turning point of the graph?

Answer:

1024

Step-by-step explanation:

Answer:

See step by step explanation or see diagram.

Step-by-step explanation:

Hi!

So, we're asked to find a line that is parallel to the given line and passes through a point.

We're going to use slope-intercept form.

y=mx+b

M is slope and b is y-intercept

Start!: Find a line that is parallel to y= -2x +4 and passes through (-4,7)

Parallel lines have the same slope . We can change slope-intercept form to reflect that.

y=-2x + b

Now, we need to find b (the y-intercept). We can do this by plugging in the coordinates of the point that we were given.

7= -2 (-4) + b

7 = 8 +b

b = -1

Next, change the equation to reflect that.

y = -2x - 1.

So, go right.

This time, the point is (2,1) and the line is y= -x - 4.

The slope of a line parallel to y = -x -4 is -1.

y= -1x+b

Plug in the points:

1 = -1 (2) +b

1 = -2 +b

b = 3

Finish the equation.

y = -x + 3.

Go diagonally.

This time, the point is (-6,1) and the line is y = 1/2x +1 .

The slope of the parallel line will be 1/2.

y= 1/2x +b

Plug in points:

1 = 1/2 (-6) + b

1 = -3 +b

b = 4

y = 1/2x + 4

Go down.

This time, the point is (2,0) and the line is y= 3/2x+5

Slope of parallel line: 3/2

y = 3/2x+b

Subsitute points in.

0 = 3/2(2) + b

0 = 3 + b

b = -3

y = 3/2x -3

Go left.

This time, the point is (-1,-5) and the line is y=2x-9

Slope of parallel line: 2

y=2x+b

Substitute points:

-5 = 2(-1) + b

-5 = -2 + b

b = -3

y= 2x -3

Go diagonally.

This time, the point is (-9, -8) and the line is y= 1/3x+3

Slope of parallel line: 1/3

y = 1/3x+b

-8 = 1/3 (-9) +b

-8 = -3 +b

b= -5

y=1/3x-5

Go up.

This time, the point is (4,3) and the line is y= x +6

SOPL (slope of parallel line): 1

y=x+b

3 = 4 + b

b = -1

y=x-1

Go right.

This time, the point is (-2, -8) and the line is y=3x-1

SOPL = 3

y= 3x+b

-8 = 3(-2) +b

-8 = -6 + b

b = -2

y=3x-2

Go down.

This time, the point is at (1,4) and the line is y=-2x-1

SOPL: -2

y=   -2x + b

4 = -2 (1) +b

4 = -2 + b

b=6

y= -2x + 6

Go diagonally.

This time, the point is (4,11) and the line is y = -1/2x-5

SOPL:  -1/2

y=   -1/2x + b

11 = -1/2 (4) +b

11 = -2 +b

b=13

y= -1/2x+13

Finish!

Answer:

x=4

Step-by-step explanation:

|2x + 5| = 13

      -5      -5

|2x| = 8

2x/2  8/2

|x| = 4

Answer:

i am not sure  

Step-by-step explanation:

Answer:

The number is 73.

Answer:

73

Step-by-step explanation:

-292 divided by -4 has to be positive. Negative divided by negative is positive. Just divide normally but add this rule.

Answer:

400

Step-by-step explanation:

Answer:

1.33333333333

Step-by-step explanation:

There is your answer!

Answer:

the seventh grader because the eighth graders got 58 which is more than 50 so the 7th grader would get the pts

Step-by-step explanation:

The  seventh grader should be awarded 50 points.

In mathematics, data is a collection of facts and figures that can take any shape, whether it be numerical or not. You can calculate numerical data, which is always gathered in number form and includes things like student test scores, employee salaries, football team member heights, etc.

Given:

If the team’s average time < one minute per leg, then the eighth graders earn 50 points.

If the team’s average time > one minute per leg, then seventh graders earn 50 points.

As, the eighth graders got 58 which is more than 50.

Hence, the 7th grader would get the points.

Learn more about data here:

https://brainly.com/question/10980404

#SPJ2

Answer:

The prime factorization of 2,520 is 23 × 32 × 5 × 7. Since it has a total of 7 prime factors, 2,520 is a composite number.

Step-by-step explanation:

Answer:

[tex]C(x)=24,000+19,200x[/tex]

Step-by-step explanation:

Mathematical Modeling

To model a real-life situation, a mathematical model can be constructed in such a way it accurately represents the variables measured in the system.

This problem requires to build a model for the yearly cost of a small and successful business.

The first data is the fixed monthly cost or the money the owner must pay regardless of the number of employees he hires. This cost includes shipping supplies and products for $2,000. To operate for a full year, the fixed cost is 12*$2,000=$24,000.

The other component of the cost function is the variable cost of x employees. Given each employee costs $1,600 each month, having x employees cost 1,600x each month. For a full year, the variable cost will be

12*1,600x=19,200x.

We finally form the total cost function:

[tex]\boxed{C(x)=24,000+19,200x}[/tex]

Hello!☺

[tex]Answer:\boxed{34,688}[/tex]

[tex]Explanation:[/tex]

[tex]3*10,000+4*1,000+6*100+8*10+8[/tex]

To solve, you will need to evaluate.

[tex]3*10,000+4*1,000+6*100+8*10+8=34,688[/tex]

[tex]34,668[/tex]

Hope this helps!☺

Answer:

34,688

Step-by-step explanation:

30,000 + 4,000 + 600 + 80 + 8 = 34,688

Hopefully this helps you :)

pls mark brainlest ;)

Answer:

5

Step-by-step explanation:

All you have to do is 2*10=20 and then 20/4=5

So 5 additional pumps should be turned on.

The number of additional pumps that should be turned on if the reservoir must be filled in 4 hours is 3 pumps

Given:

2 identical pumps = 10 hours

Time taken for each pump = Total time ÷ number of pumps

= 10 hours / 2 pumps

= 5 hours per pump

Total hours to fill a reservoir = 4 hours

let

x = number of pumps

Number of pumps = (Time taken for each pump × Total hours to fill a reservoir) / Total hours to fill a reservoir

= (5 × 4) / 4

= 20 / 4

= 5 pumps

Additional pump needed = Pumps needed - available pumps

= 5 - 2

= 3

Therefore, number of additional pumps that should be turned on if the reservoir must be filled in 4 hours is 3

Read more:

https://brainly.com/question/20424149

Answer:

X intercept = -2.50000

Y intercept = 2

Step-by-step explanation:

Answer:

-2y + 12

Step-by-step explanation:

3 - 2y +9

Combine the constants

-2y +3+9

-2y + 12

Answer:

-2y + 12

Step-by-step explanation:

1) Group like terms: -2y + 3 + 9

2) Combine like terms: 3 + 9 = 12

3) -2y + 12

Hope this helps and good luck with your assignment. (pleasem mark me brainliest if possible)

Answer:B

Step-by-step explanation:

Answer: she gain calories

Step-by-step explanation:

15 -differences between gymnosperms and angiosperms:

16-

17- Uniform acceleration is a change of equal velocity in equal interval of tine.

Non- Uniform acceleration is a change of unequal velocity in equal interval of time.

18- Three equation of motion:

Answer:

The answer is

Step-by-step explanation:

[tex]f(x) = {2x}^{2} + 2x - 3[/tex]

To find f(4) , substitute the value of x that's 4 into f(x). That is for every x in f(x) replace it with 4

That's

[tex]f(4) = 2 ({4})^{2} + 2(4) - 3 \\ = 2(16) + 8 - 3 \\ = 32 + 5 \\ = 37 \: \: \: \: \: \: \: \: [/tex]

We have the final answer as

[tex]f(4) = 37 \\ [/tex]

Hope this helps you

The value of x is equal to 4 and the length of segment DE is equal to 44.

Option (C) is correct.

It is required to find the scientific notation.

The midpoint is the middle point of a line segment. It is equidistant from both endpoints, and it is the centroid both of the segment and of the endpoints. It bisects the segment.

Given:

Since S is the midpoint of line segment DE, it simply means that line segment DE is divided into two (2) sections DS and SE and they are equal in length. By applying the midpoint rule, we have:

DS = SE

3x + 10 = 6x - 2

6x - 3x = 10 + 2

3x = 12

x = 12/3

x = 4.

For the measure of segment DS, we have:

DS = 3x + 10

DS = 3(4) + 10

DS = 12 + 10

DS = 22.

For the measure of segment SE, we have:

SE = 6x - 2

SE = 6(4) - 2

SE = 24 - 2

SE = 22.

For the measure of segment DE, we have:

DE = DS + SE

DE = 22 + 22

DE = 44.

Therefore, the value of x is equal to 4 and the length of segment DE is equal to 44.

Learn more details about midpoint here:

https://brainly.com/question/28224145

#SPJ2

Answer:

5

Step-by-step explanation:

5 × 2 × 1/2

Reduce the numbers using the greatest common factor 2

Solution: 5

Answer:

[tex]n = 4[/tex]

[tex]x = 2[/tex]

[tex]p = 38\%[/tex]

[tex]q = 62\%[/tex]

Step-by-step explanation:

Required

Find n, x, p and q

n always represent the population surveyed;

So:

[tex]n = 4[/tex]

x represents the sample from the population

So:

[tex]x = 2[/tex]

p always represents the given proportion

[tex]p = 38\%[/tex]

Solving for q

[tex]p + q = 1[/tex]

[tex]q = 1 - p[/tex]

[tex]q = 1 - 38\%[/tex]

[tex]q = 62\%[/tex]

Answer:

-1/2

Step-by-step explanation:

We can use the slope formula

m = ( y2-y1)/(x2-x1)

    = ( 6-2)/(-3-5)

    = 4/-8

    -1/2

[tex] - \frac{1}{2} [/tex]

Step-by-step explanation:

........... :v

Answer:

174

Step-by-step explanation:

Answer:

r-s-t = u

Step-by-step explanation:

r=s+u+t

Subtract s from each side

r-s=s-s+u+t

r-s = u+t

Subtract t from each side

r-s-t = u+t-t

r-s-t = u