EXTREMELY IMPORTANT!!!
99 PTS!!!
LOTS AND LOTS OF PTS!!!
PLZ HELP FAST!!!

Seth and Karen are college students who take on different jobs for income. Seth needs $750 for expenses and savings each month; Karen needs $700.

Seth has a part-time job where he earns $7.50 per hour. He also mows lawns and earns $15 per lawn that he mows. His monthly earnings can be expressed with the equation 7.50x + 15y = 750, where x is the number of hours Seth works and y is the number of lawns he mows.

Karen has a part-time job babysitting, where she earns $6 per hour. She also walks dogs and earns $4 per dog that she walks. Her monthly earnings can be expressed with the equation 6x + 4y = 700, where x is the number of hours Karen works and y is the number of dogs she walks.

Part A: Each partner now has an equation, function, and graph that represent the combinations of activities resulting in the income needed for each student. Compare these items and answer the following questions:
Which student, Seth or Karen, has the higher slope when the graphs of their earnings are compared? How can you tell?

Part B: Whose graph, Seth's or Karen's, has a greater y-intercept? What does that mean for this person?

Part C: If both students work 80 hours for the month, is the number of lawns Seth has to mow greater than or less than the number of dogs Karen has to walk? Justify your answer.

Part D: Karen begins charging $8 per hour for babysitting and Seth begins earning $8 per hour. How does this change affect their graphs if everything else remains the same?

P.S. Those who answer wrong answers on purpose will be reported. (Has happened too many times by the same person. You know who you are.) This is very important, so the faster I get the correct answer for each part, the better. Thank you for those who help!!! I will be in your debt!

Answer:

The roots are [tex]-3,-2,3[/tex]

Step-by-step explanation:

Let [tex]f(x)=x^3-2x^2+5x-6[/tex] and [tex]g(x)=-4x^2+14x+12[/tex].

The graph of the two functions are in the attachment.

The x-values of the points of intersection are the roots of the polynomial equation.

[tex]x^3-2x^2+5x-6=-4x^2+14x+12[/tex]

The roots are

[tex]-3,-2,3[/tex]

Answer:

-3,-2,3

Step-by-step explanation:

edge

Answer:

Option C is the correct answer.

Explanation:

  Boxes collected by Mohammed = [tex]7\frac{1}{2}[/tex]

  Boxes collected by Isaac = [tex]8\frac{1}{3}[/tex]

  Boxes collected by Noah = [tex]4\frac{3}{4}[/tex]

  Boxes collected by Felix = [tex]3\frac{2}{3}[/tex]

 Total boxes collected = [tex]7\frac{1}{2}+8\frac{1}{3}+4\frac{3}{4}+3\frac{2}{3}[/tex]

                = [tex]\frac{15}{2}+\frac{25}{3}+\frac{19}{4}+\frac{11}{3}=\frac{36}{3} +\frac{49}{4} =\frac{97}{4}[/tex]

                = [tex]24\frac{1}{4}[/tex]

   Option C is the correct answer.

You have 3 $5s and 4 $1 bills. Hope this helps :)

You have 3 $5s and 4 $1 bills.

Hope this helps you, if it does, please mark brain! <3

-SHOBE-

Answer:

Infinitely many.

Step-by-step explanation:

y = 3x + 4

2y = 6x + 8

Basically you would fill in the variable for y into the second equation.

2 (3x + 4) = 6x + 8

Multiply 2 by the part in the parenthesis.

2 * 3x = 6x

2 * 4 = 8

Set up the equation and solve

6x + 8 = 6x + 8

Because the sides are the same, they cancel each other out. When two sides equal the same variable they have infinitely many solutions.

48 children and 96 adults

let x be the number of children then number of adults = 2x and

x + 2x = 144

3x = 144 ( divide both sides by 3 )

x = [tex]\frac{144}{3}[/tex] = 48

There are 48 children and ( 2 × 48 ) = 96 adults

There are 48 children and 96 adults in line.

To find how many children and adults are in line, we can use algebraic equations and solve for each variable. Let's assume the number of children in line is x. Since there are twice as many adults as children, the number of adults in line would be 2x. According to the given information, the total number of people in line is 144. Therefore, we can set up the equation x + 2x = 144. Simplifying the equation, we get 3x = 144. Dividing both sides by 3, we find x = 48. So, there are 48 children and 2 * 48 = 96 adults in line.

5,254,071,926

Is the standard form

The number 'five billion two hundred fifty four million seventy one thousand nine hundred twenty six' can be written in standard form as 5,254,071,926.

The number 'five billion two hundred fifty four million seventy one thousand nine hundred twenty six' is written in words. In standard form, we write it as a numeric value instead. So,

5,254,071,926

is the standard form of 'five billion two hundred fifty four million seventy one thousand nine hundred twenty six'. The standard form simply means writing the number as we typically would in mathematics or everyday usage.

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median = 35

the median is the middle entry of the data arranged in ascending order

rearranging the data in ascending order

3 5 23 27 35 37 45 48 49

the middle value = 35 ← median

Answer:

The coefficient of the squared expression in the parabolas equation will be 5.

Step-by-step explanation:

The vertex form of parabola is:  [tex]y=a(x-h)^2 +k[/tex] , where [tex](h,k)[/tex] is the vertex point and [tex]a[/tex] is the coefficient of [tex]x^2[/tex] term.

The vertex is given as [tex](3,-2)[/tex]. That means, [tex]h=3[/tex] and [tex]k=-2[/tex]

So, the vertex form will be:  [tex]y=a(x-3)^2-2[/tex]

Given that, when the x-value is 4, the y-value is 3. So, plugging these values into the above equation, we will get.....

[tex]3=a(4-3)^2-2\\ \\ 3=a(1)^2-2\\ \\ a=3+2=5[/tex]

Thus, the coefficient of the squared expression in the parabolas equation will be 5.

Final answer:

To simplify 4m - 3 - 9m + 8, combine like terms to get -5m + 5, which is the simplified expression.

Explanation:

To perform the indicated operation and simplify 4m - 3 - 9m + 8, we need to combine like terms. The terms 4m and -9m are like terms, as are the constants -3 and +8. So, let's combine them.

First, combine the m terms:

4m - 9m = -5m

Next, combine the constant terms:

-3 + 8 = 5

Putting it all together, we have:

-5m + 5

This is the simplified form of the original expression.

Answer:

Present age of john= 24 years

Let Shane's age= x years

 Two years ago

John's age = 24-2= 22 years

Shane's age = (x-2) years

  Writing in terms of equation,to the above statements

⇒22= 2(x-2)

⇒22= 2 x- 4

⇒22+4 = 2 x

⇒ 2 x= 26

⇒ x= 26÷2

⇒ x =13

Present age of son = 13 years

We are given

a cubic polynomial function has the same zeroes

Let's assume that zeros as 'a'

so, we can write it as

[tex]f(x)=(x-a)^3[/tex]

now, we are given y-intercept

(0,-5)

at x=0 , y=-5

we can use it and then find 'a'

[tex]-5=(0-a)^3[/tex]

[tex]a=\sqrt[3]{5}[/tex]

now, we can plug it

and we get

[tex]f(x)=(x-\sqrt[3]{5})^3[/tex]..................Answer

Answer:

Use the zeroes to determine the roots.

Write the polynomial as a product of the leading coefficient, a, and the factors, where each factor is x minus a root.

Use the y-intercept (0, –5) to solve for the leading coefficient.

Substitute the leading coefficient into the polynomial function for a and simplify.

Step-by-step explanation:

Since the amount of coworkers would be the variable in this expression, the equation would be 48-8x  

(X= number of coworkers)

"how long..." is asking for time (t).  "The amount of time spent in the air" is the time from when the ball was kicked (0 seconds) to the time it landed on the ground.  Need to find the x-intercepts (one will be negative which will be invalid). You can do this by factoring ... or by using the quadratic formula. With the equation you provided, it is not factorable, so you must use the quadratic formula.

h = -16t² + 60t + 3

   a=-16   b=60  c=3

[tex]t = \frac{-b +/- \sqrt{b^{2}-4ac } }{2a}[/tex]

[tex]t = \frac{-60 +/- \sqrt{60^{2}-4(-16)(3) } }{2(-16)}[/tex]

[tex]t = \frac{-60 +/- \sqrt{3600 + 192} }{-32}[/tex]

[tex]t = \frac{-60 +/- \sqrt{3792} }{-32}[/tex]

[tex]t = \frac{-60 +/- 61.6}{-32}[/tex]

[tex]t = \frac{-60 + 61.6}{-32}[/tex]   or   [tex]t = \frac{-60 - 61.6}{-32}[/tex]

[tex]t = \frac{1.6}{-32}[/tex]        or     [tex]t = \frac{-121.6}{-32}[/tex]

   t = -0.05            or     t = 3.8           disregard the negative

Answer: 3.8 seconds

3/100, 5/100, 5/100 75/100

Answer:

B is the correct answer.

The function that passes through the points (2, 15) and (3, 26) is B) y = 11x - 7.

The function that passes through the given points is B) y = 11x - 7.

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To determine which ordered pairs are solutions to the inequality 2y - x ≤ -6, substitute the x and y values of each ordered pair into the inequality and check if it is satisfied.

To determine which ordered pairs are solutions to the inequality 2y - x ≤ -6, we substitute the x and y values of each ordered pair into the inequality and check if the inequality is satisfied:

Therefore, the correct answers are (6, 1), (0, -3), and (2, -2).

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D, Each x value has one and only one y value.; This is because if an x-value repeats itself then it is not a function. You can test this on a graph by drawing a vertical line on it. If the vertical line intercepts the line more than once anywhere on the graph, then it is not a function.

Answer:

Each x value has one and only one y value.

Step-by-step explanation:

y = f(x) can be called a function if, and only if

f(a) = f(b) means that a = b.

That is, each x value has one and only one y value.

y = 4 - 6x

f(a) = f(b)

4 - 6a = 4 - 6b

6b = 6a

b = a

So the correct answer is:

Each x value has one and only one y value.

We are given traingle ABC and Triangle DEF.

Angle <A is congruent to Angle <D

Angle <B is congruent to Angle <E

Angle <C is congruent to Angle <F.

If two pairs of corresponding angles are congruent to each other, then the triangles are similar by Angle-Angle Similarity.

By Angle-Angle similarity postulate triangle ABC and triangle DEF are similar.

Therefore, option C is correct option.

Answer:

Similar AA

Step-by-step explanation:

answer B or 1/6  should be right.

Answer:  The correct option is

(B) [tex]\dfrac{1}{6}.[/tex]

Step-by-step explanation:  We are given to find the slope of the straight line shown in the graph.

From the graph, we see that the line passes through the points (-6, 3) and (12, 6).

The SLOPE of a line passing through the points (a, b) and (c, d) is given by

[tex]m=\dfrac{d-b}{c-a}.[/tex]

Therefore, the slope of the given line is

[tex]m=\dfrac{6-3}{12-(-6)}=\dfrac{3}{12+6}=\dfrac{3}{18}=\dfrac{1}{6}.[/tex]

Thus, the slope of the given line is [tex]\dfrac{1}{6}.[/tex]

Option (B) is CORRECT.

In order for the data set to represent a function, there can be no duplicates of the first value.

A. 1 is used as the first value more than once       it is NOT a function

B. 3 is used as the first value more than once       it is NOT a function

C. no first number is used more than once            it IS a function

D. 3 is used as the first value more than once       it is NOT a function

Answer: C