Draw a diagram of the archway modeled by the equation y = x^2 + 5x + 24. Fine and label the y-intercept and the x-intercepts on the sketch. Then find and label the width of the archway at its base and the height of the archway at its highest point, assuming the base of the archway is along the x-axis ​

This is the number 80 thousand

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Explanation:

1/2, aka 2/4, of the original fund was given to his wife and 1/4 was given to his son. That totals 3/4 since 2/4+1/4 = (2+1)/4 = 3/4.

In short, 3/4 of the fund is distributed between the wife and son. That leaves 1/4 of the fund for the two brothers to share equally.

Imagine a cake cut into quarters. Then cut each slice in half to get eighths, i.e. there are 8 equal slices. This means each brother gets 1/8 of the fund.

Since each brother got Rs 10000, this must mean the original fund is worth 8*10000 = 80000

Taking 1/8 of Rs 80000 will get us Rs 10000 for each brother.

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Checking the answer:

original fund amount = 80000

1/2 of 80000 = 40000 is the amount the wife gets

1/4 of 80000 = 20000 is the amount the son gets

That totals 40000+20000 = 60000 leaving 80000-60000 = 20000 leftover for the two brothers to share. Cut that 20 thousand figure in half to arrive at Rs 10000 for each brother. These steps help confirm the answer.

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Another method using algebra:

x = original amount of the fund

W = x/2 = 2x/4 = half of the fund = amount wife gets

S = x/4 = quarter of the fund = amount the son gets

W+S = (2x/4) + (x/4) = (2x+x)/4 = 3x/4

W+S represents the sum of the wife's and son's amounts.

We'll subtract this from the original amount x to find out what's left

x - (W+S) = x - (3x/4) = (4x/4) - (3x/4) = (4x-3x)/4 = x/4

This shows that 1/4 of the fund is left over after distributing to the wife and son.

The amount x/4 is then cut in half to get x/8 to represent the amount each brother gets. We're told that amount is Rs 10000

So,

x/8 = 10000

x = 8*10000

x = 80000

The original fund is worth Rs 80000

Answer:

Part A: The origin would be (0, 0)

Part B:

(-1, 1)  starting from the origin (0,0), would move left 1 on the x-axis  then you would move up 1 on the y-axis

(1, -1.5)  starting from the origin (0,0), you would move to the right 1 on the x-axis, then you would move down 1.5 on the y-axis

(2, 1/4) starting from the origin (0,0), you would move to the right 2 on the x-axis, then you would move up 1/4 (.25).

a) The origin would be (0, 0).

Coordinates are a pair of integers (Cartesian coordinates), or sporadically a letter and a number, that identify a certain place on a grid, also referred to as a coordinate plane. The x axis (horizontal) and y axis (Verticle) are the two axes that make up a coordinate plane.

Given:

a) The origin would be (0, 0).

b) First, (-1, 1) move left 1 on the x-axis then you would move up 1 on the y-axis

Second, (1, -1.5) move to the right 1 on the x-axis, then move down 1.5 on the y-axis

Third, (2, 1/4) move to the right 2 on the x-axis, then move up 1/4 (.25).

Learn more about Coordinates here:

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Answer:

  A, D, F

Step-by-step explanation:

It is convenient to let a calculator or spreadsheet evaluate the function for you. Reflection over the y-axis means x is replaced by -x in the original function definition.

The values that show up on the reflected graph are ...

  (-7, -10.206)

  (0.5, -0.221)

  (9, -0.003)

Answer:

  (b)  y -4 = 3(x -2)

Step-by-step explanation:

You are given the form

  y -y1 = m(x -x1)

and the values

  y1 =4, m =3, x1 =2

Putting these in their places gives ...

  y -4 = 3(x -2)

Answer:

Here you go

Step-by-step explanation:

24 original width

49 original length

Answer: what? What’s the question?

Answer:

what questions?

Step-by-step explanation:

Answer:

I don't know

Step-by-step explanation:

Answer:

30 hours 48 minutes

Step-by-step explanation:

Using the relationship

average speed = [tex]\frac{distance}{time}[/tex] = [tex]\frac{375}{15}[/tex] = 25 Km / hour

Then

time = [tex]\frac{distance}{speed}[/tex] = [tex]\frac{770}{25}[/tex] = 30.8 hours = 30 hours 48 minutes

Answer:

30.8 or 30 hours and 48 mins

Step-by-step explanation:

375 km > 15 Hours

Divide 375 and 15, equals to 25.

So, to proof that 375 is equals to 15 hours, divide 375 and 25 then you will get the answer 15. :)

Now, divide 770 and 25 to get the time taken to travel 770km.

And the answer is 30.8 hrs or... 30hrs and 48mins

Welcome ;)

Hey there!

Guide to follow

“Difference” means subtract

“Is” means equal to

“Product” means multiply

“Quotient” means divide

“Sum” means add

Answering your question….

“The [QUOTIENT] of [-4] and [y]

Remember we said “quotient” means divide

So we’re dividing -4 from y and that will be your answer.

Answer

-4 ÷ y

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

Brainly.com

Question

Match each expression to the correct verbal description.

Answer · 12 votes

(7x)3+8 8 added to the cube of 7x(7x+8)3 The cube of the sum of 7x and 87(x+8)3 7 times the cube of the sum of x and 87x3+8 8 added to 7 and x cubed

Answer:

The test  has 10 3-point questions and 14 5-point questions.

Step-by-step explanation:

x + y = 24

3x + 5y = 100

From the first equation:

3x + 3y = 72

Subtracting:

3x - 3x + 5y - 3y = 100 -72

2y = 28

so y = 14

x + 14 = 24 so x = 10.

10*3 + 5*14

= 30 + 70 = 100 points.

Answer:

x = 12

Step-by-step explanation:

y= -4x+48

0=-4x+48

4x=48

x=12

Answer:

The answer is I don't know

Answer:

Step-by-step explanation:

Rule: the largest angle is ALWAYS opposite the longest side, and the converse is also true: the longest side is always opposite the largest angle. So the largest side is E which is B

Answer:

Step-by-step explanation:

The diagonal is the hypotenuse of the right triangle whose sides are the sides of the rectangle. The Pythagorean theorem applies.

  height² + base² = diagonal²

  height² +24² = 26²

  height² = 676 -576 = 100

  height = √100 = 10

__

The area is the product of the base and height.

  A = bh

  A = (24)(10) = 240

The height is 10 units; the area is 240 square units.

Answer:

what you need to know is all lines equal up to 180

so basically it's 180 - 115

which is 65

comment down below if you need more explanation

Step-by-step explanation:

The equation of the line for the graph that has y-intercept (0, 6) and contains the point (2, 1) is; y = -2.5x + 6

The general form of the equation of a Line in Slope Intercept form is;

y = mx + c

where;

m is slope

c is y-intercept

We are told that the graph has the points (0, 6) and (2, 1). Thus, the formula for slope is;

m = (y₂ - y₁)/(x₂ - x₁)

m = (1 - 6)/(2 - 0)

m = -5/2

m = -2.5

Now, since the y-intercept is at (0, 6), then it means that;

c = 6

Thus, the equation of the line is; y = -2.5x + 6

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Answer:One minute is 60 times as long as one hour i guess?

Answer:

9 lol

Step-by-step explanation:

comming from a highscholer its 12% of 12 =9

hope this helps

Based on his score last week and his score this week, we can say that Jacob increased his score by 180%

Jacob scored 25 in his test last week and then this week scored 70.

The increase can be found as:

= (New score - Old score) / Old score x 100%

Solving gives:

= (70 - 25) / 25 x 100%

= 180%

In conclusion, Jacob increased by 180%

Find out more at https://brainly.com/question/22444616.

Answer:

B 71 & 71

Step-by-step explanation:

OP is an angle bisector

Answer:

B

Step-by-step explanation:

Since angles MOP and NOP are both labeled as 2x+1, they must both be equivalent. The only answer choice which shows them to be equivalent is B.

Verification:

(2x+1)+(2x+1)=142

4x=140

x=35

(substitution)

2(35)+1 = 71

Answer:

Step-by-step explanation:

2005 AMC 8 Problems/Problem 20

Problem

Alice and Bob play a game involving a circle whose circumference is divided by 12 equally-spaced points. The points are numbered clockwise, from 1 to 12. Both start on point 12. Alice moves clockwise and Bob, counterclockwise. In a turn of the game, Alice moves 5 points clockwise and Bob moves 9 points counterclockwise. The game ends when they stop on the same point. How many turns will this take?

$\textbf{(A)}\ 6\qquad\textbf{(B)}\ 8\qquad\textbf{(C)}\ 12\qquad\textbf{(D)}\ 14\qquad\textbf{(E)}\ 24$

Solution

Alice moves $5k$ steps and Bob moves $9k$ steps, where $k$ is the turn they are on. Alice and Bob coincide when the number of steps they move collectively, $14k$, is a multiple of $12$. Since this number must be a multiple of $12$, as stated in the previous sentence, $14$ has a factor $2$, $k$ must have a factor of $6$. The smallest number of turns that is a multiple of $6$ is $\boxed{\textbf{(A)}\ 6}$.

See Also

2005 AMC 8 (Problems • Answer Key • Resources)

Preceded by

Problem 19 Followed by

Problem 21

1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25

All AJHSME/AMC 8 Problems and Solutions

The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.

Answer:lol

Step-by-step explanation:

Answer:

N=3

Step-by-step explanation:

use cross multiplication to find 28N=84 and then divide both sides by 28 to get N=3

Answer:

N = 3

Step-by-step explanation:

Given Δ ABC is similar to Δ DEF , then the ratios of corresponding sides are in proportion, that is

[tex]\frac{AB}{DE}[/tex] = [tex]\frac{BC}{EF}[/tex] , substitute values

[tex]\frac{21}{N}[/tex] = [tex]\frac{28}{4}[/tex] = 7 ( multiply both sides by N to clear the fraction )

21 = 7N ( divide both sides by 7 )

3 = N

Answer:

y= 32

Step-by-step explanation:

HOPE THIS HELPS :)