Luis is filling his half-empty swimming pool with water at a rate of 220 gallons per hour. After 33 hours the pool contains 855 gallons of water. What is the equation in point-slope form that relates the amount of water in the pool, y, to the number of hours, x, that Luis has been filling the pool?

What is the equation in standard form?

Answers

Answer 1

Answer:

[tex]y - 220x = -6405[/tex]

Step-by-step explanation:

Given

[tex]Rate = 220[/tex]

At [tex]time = 33\ hours[/tex], [tex]gallons = 855[/tex]

Required

Determine the equation

The rate means slope (m).

So:

[tex]m = 220[/tex]

From the question, x represents time and y represents the amount of water.

So:

[tex]x=33[/tex] when [tex]y = 855[/tex]

Or:

[tex](x_1,y_1) = (33,855)[/tex]

The equation is determined using:

[tex]y - y_1 = m(x - x_1)[/tex]

This gives:

[tex]y - 855 = 220(x - 33)[/tex]

[tex]y - 855 = 220x - 7260[/tex]

Collect Like Terms

[tex]y - 220x = 855 - 7260[/tex]

[tex]y - 220x = -6405[/tex]

Hence, the equation in standard form is:

[tex]y - 220x = -6405[/tex]


Related Questions

what is 2+2???? Plzzz I need helpppp!!

Answers

ITS 4 BECAUSE 2 then add 2 then you get 4 you have 2 apples and you add two more you have 4

Answer:

2+2 is 4 . I hope this helps

Can i get help plz its not hard

Answers

Answer:

This is math right?

Step-by-step explanation:

I need help I have some of the answer but rewrote the equation. But I need help finding the answer in long division and synthetic

Answers

-6n^5-34n^2+55n-9/n^4+90

If P(x) = 12x3 + 11x2 - 9x + 10 and
Q(x) = 4x2 – 3x + 2, find
P(x) + Q(x)

Answers

Answer:

12x^3+15x^2-12x+12

Step-by-step explanation:

P(x) = 12x^3 + 11x^2 - 9x + 10

Q(x) = 4x^2 – 3x + 2

P(x) + Q(x) = 12x^3 + 11x^2 - 9x + 10+ 4x^2 – 3x + 2

Combine like terms

                 =12x^3+11x^2+4x^2-9x-3x+10+2

                  =12x^3+15x^2-12x+12

what is 0.13095238095 as a fraction

Answers

Answer: 13095238095/100000000000

Step-by-step explanation:  To write 0.13095238095 as a fraction you have to write 0.13095238095 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.

0.13095238095 = 0.13095238095/1 = 1.3095238095/10 = 13.095238095/100 = 130.95238095/1000 = 1309.5238095/10000 = 13095.238095/100000 = 130952.38095/1000000 = 1309523.8095/10000000 = 13095238.095/100000000 = 130952380.95/1000000000 = 1309523809.5/10000000000 = 13095238095/100000000000

the corrected answer would be A, B, D

Answers

Answer:

I didn't get you

Step-by-step explanation:

what??

Mark
the absolute maximum point of the graph.

Answers

Answer:

6

Step-by-step explanation:

Answer:

Point (0,6)

Step-by-step explanation:

Point (0,6) is the highest point plotted on the graph.

PLEASEEEEE HELPPPP BEST ANSWER WILL GET BRAINLIEST LESTSSS GOOO.

Answers

Answer:

9n+13

Step-by-step explanation:

The perimeter is adding the entire pentagon together, so 2n+2n+(n+5)+(n+5)+(3n+3). When you combine like terms, it becomes 9n+13.

Answer:

Perimeter of the given figure is :---

[tex](2n) + (2n) +( n + 5) + (n + 5) + (3n + 3) \\ = 2n + 2n + n + 5 + n + 5 + 3n + 3 \\ = \boxed{9n + 13}✓[/tex]

(9n+13) is the right answer

for good cause plz help

Answers

Step-by-step explanation:

6/10, 20/32, just tell me if you need more

idk. just say random multiples of 24.

Answers

Answer:

Which unit rate is equivalent to 14 miles per gallon? (1 point

Step-by-step explanation:

i am so glad to hear you are Incredible in messages and please contact us at the free points and see what hi rjha is the most important to you to you amanpreet your support for your support for your child to be a child of your

Answer:

48,72,96,120,144,168,192,216,240,264,288,312,336,360,384,408,432,456

Step-by-step explanation:

if 2^x = 1/32, find the value of x

Answers

Value of x is: x=-5

Explanation

2^x=1/32
2^x=2^5
x=-5

If u = , v = , and w = , which operation gives the result represented in the graph? A. w − 2v B. -2u + w C. -2w − u D. -2v E. -2v − u

Answers

Answer:

The answer would be -2u+w.

Step-by-step explanation:

On PLATO

Find the coordinates on the graph. (-6,1)

Plug and Chug

Which one please help

Answers

Answer:

The triangle can be classified as a right triangle.

Step-by-step explanation:

Take a look at triangle ACD alone.  There is a right angle on the side of ABC in which the other triangle ACD should also be a right triangle since it has a right angle.

Answer:

Step-by-step explanation:

Mr. Chen drives 16 mile from his house to the grocery store.
Ms. Peterson drives twice this distance from her house.

Which model represents the distance in miles that Ms. Peterson drives?

Answers

The answer is D

1/6 is less than 1, and D is the only answer that shows a table under the value of 1.

I hope this helps :)

PLEASE PLEASE ANSWER :(
Construct a polynomial function with the stated properties. Reduce all fractions to lowest terms.
Third-degree, with zeros of −3, −2, and 1, and passes through the point (4,10)

Answers

Answer:

0

Step-by-step explanation:

Laurie filled a container 2/3 full with water. She put 42 2/3 ounces of water in it. What is the capacity of Laurie's container?

Answers

Answer:

64 ounces

Step-by-step explanation:

2/3=42 2/3

1/3=21 1/3

21 1/3*3=64

Compute the value of the discriminant and give the number of real solutions of the quadratic equation.
−4x^2 + 6x - 1=0

Answers

Answer:

Value of discriminant is 20

Step-by-step explanation:

Formula of discriminant is:

[tex]D=b^2-4ac[/tex]

so our equation is

[tex]-4x^2+6x-1=0[/tex]

where a = -4, b = 6 , c = -1

so our discriminant becomes,

[tex]D=b^2-4ac\\D=(6)^2-4(-4)(-1)\\D=36-16\\D=20[/tex]

Since the discriminant is positive we have two distinct real number solutions or two distinct roots, and to solve the we just use the quadratic formula and get the two different values of x.

[tex]x_1=0.191\\x_2=1.309[/tex]

I have attached a graph also to confirm your answer, you use an online graphing calculator to verify it as well.

A patient drink 30mL of water. How many fluid ounces is this

Answers

Answer:

About 1 Fluid ounces

Step-by-step explanation:

For every 1 fluid ounce of liquid, there is 29.57 mL.

1.01 ounces, 1 Fluid Ounce= 30 ML so 1.01 Fluid ounce = 30 ML

Find the value of X in the diagram above

Answers

Answer:

17

Step-by-step explanation:

for L to be parallel to M the two angles have to be supplementary so to add up to 180°

6x+8+4x+2 =180

10x+10 =180

10x = 180-10

10x = 170

x=170/10

x=17

PLZ QUICK!!
Which is the graph of y – 3 = (x + 6)?

A coordinate grid with a line passing through the points at (negative 3, 1), (0, negative 1), and (3, negative 3).

A coordinate grid with a line passing through the points at (negative 2, 1), (0, 0), and (4, negative 3).

A coordinate grid with a line passing through the points at (negative 3, 0), (0, negative 2), and (3, negative 4).

A coordinate grid with a line passing through the points at (negative 3, 3), (0, 1), and (3, negative 1).

Answers

Answer:

See attached graph

Step-by-step explanation:

The equation is y-3=(x + 6)

Write the equation in a slope intercept form, then graph the equation on a graph tool to see the points that line on the line.

Alternatively , using the coordinates in the answer choices given, input them in the equation of the graph and select the answer choice that has all its coordinates true to the equation.

y-3 = x+6  -----can be written as : y= x+9

Graph  y= x+9 to see the graph and the points that are on the line as attached.

The line passes through points (-5, 4) and (-4, 5).

Hence, option E is correct.

Use the concept of drawing a graph defined as:

Drawing the curve that represents a function on a coordinate plane is known as graphing a function. Every point on the curve will satisfy the function equation if the curve (or graph) reflects the function.

The given equation of a line:

y – 3 = (x + 6)

To plot the graph:

Put x = 0  we get y = 9

put x = 1 we get y = 10

put x = 2 we get y = 11

put x = 2 we get y = 12

proceed similarly.

Now plot the curve by addressing these points.

Hence,

The line passes through points (-5, 4) and (-4, 5) which is option E.

To learn more about graph of function visit:

https://brainly.com/question/12934295

#SPJ6

The complete question is:

Which is the graph of y – 3 = (x + 6)?

A. A coordinate grid with a line passing through the points at (negative 3, 1), (0, negative 1), and (3, negative 3).

B. A coordinate grid with a line passing through the points at (negative 2, 1), (0, 0), and (4, negative 3).

C. A coordinate grid with a line passing through the points at (negative 3, 0), (0, negative 2), and (3, negative 4).

D. A coordinate grid with a line passing through the points at (negative 3, 3), (0, 1), and (3, negative 1).

E. A coordinate grid with a line passing through the points at (negative4, 5)and (negative 5, 4).


CLICK ON THE PIC THE SEE THE WHOLE QUESTION

Answers

Step-by-step explanation:

perimeter =5x. where x is the side length

The sum of twice a number and 15
Is greater than 3

Answers

2x + 15 > 3
-15. -15
2x= -12
-12/2= -6
flip sign when ended with a negative
x<-6

whoever gives me answers to these will get Brainlist
1: 2x+6=96
2: 2x+3+x-6=180
3: x+4+3x+2=90
4: x+16=4x-5
5: 2x+20+x+40=180
6: 7x-9+4x=90
Please help!!!

Answers

Step-by-step explanation and Answer:

1: 2x+6=96  => x = 45

2: 2x+3+x-6=180  => x = 39

3: x+4+3x+2=90  => x = 21

4: x+16=4x-5  => x = 7

5: 2x+20+x+40=180  => x = 40

6: 7x-9+4x=90  => x = 9

f(x) = x2 + 3x; Find f(-10)
What is the function

Answers

Answer:

-50

Step-by-step explanation:

f(-10)=2(-10) + 3(-10)

=-20 + -30

= -50

how to find roots of X2-4x-3root2 by quadratic formula​

Answers

Answer:

Step-by-step explanation:

I am not sure if this is the equation you ask about?

x²-4x-3√2 =0

... or is it ?

x²-4x-3 =0

9514 1404 393

Answer:

  fill in the coefficients and evaluate the formula

  x ≈ 2±√(4+3√2) ≈ {-0.871, 4.871}

Step-by-step explanation:

The quadratic formula for the solution of ...

  ax² +bx +c = 0

is ...

  [tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

The use of this formula requires that you know the values of a, b, c. You can find these by comparing the given quadratic with the standard form, above.

When you are asked for "roots" or "zeros", you are being asked for the values of x that make the polynomial have a value of zero:

  x² -4x -3√2 = 0

In this form, you can see the coefficients are ...

  a = 1, b = -4, c = -3√2

Using these values in the quadratic formula, you have ...

  [tex]x=\dfrac{-(-4)\pm\sqrt{(-4)^2-4(1)(-3\sqrt{2})}}{2(1)}=\dfrac{4\pm\sqrt{16+12\sqrt{2}}}{2}\\\\\boxed{x=2\pm\sqrt{4+3\sqrt{2}}\approx\{-0.871000, 4.871000\}}[/tex]

Use the table to write a linear function that relates y to x .

Answers

Answer:

y = -3x + 2

Step-by-step explanation:

The linear equation is in the form

y = mx + b

where m is the slope and b is the y-intercept

the slope can be calculated using two points

Let us have; (-2,8) and (0,2)

The equation of the slope is ;

m = (y2-y1)/(x2-x1) = (2-8)/(0+2) = -6/2 = -3

So for the y-intercept, we select any of the points to substitute

Let us have (0,2)

Substitute this into;

y = -3x + b

2 = -3(0) + b

b = 2

So the equation is;

y = -3x + 2

#1. Simplify the expression 5+8(3+x)

#2. Simplify the expression x+3+5x

#3. Simplify the expression 5(z+4)+5(2-z)​

Answers

1.) 29+8x
2.)6x+3
3.) 30

Answer:

brainliest plssssss

Step-by-step explanation:

#1 Simplify the expression 5+8(3+x)

Let's simplify step-by-step.

5+8(3+x)

Distribute:

=5+(8)(3)+(8)(x)

=5+24+8x

Combine Like Terms:

=5+24+8x

=(8x)+(5+24)

=8x+29

#2. Simplify the expression x+3+5x

Let's simplify step-by-step.

x+3+5x

Combine Like Terms:

=x+3+5x

=(x+5x)+(3)

=6x+3

#3. Simplify the expression 5(z+4)+5(2-z)​

Let's simplify step-by-step.

5(z+4)+5(2−z)

Distribute:

=(5)(z)+(5)(4)+(5)(2)+(5)(−z)

=5z+20+10+−5z

Combine Like Terms:

=5z+20+10+−5z

=(5z+−5z)+(20+10)

find the image of (5,7) obtained by translating 4 units down, followed by a reflection over the y-axis​

Answers

Answer:

The image is (-5,3)

Step-by-step explanation:

Translation and Reflection

One point P of coordinates (x,y) can be translated by (a,b) units by adding the units to the corresponding coordinate. This will map P to P' of coordinates P'(x+a,y+b).

A reflection across the y-axis maps the point P(x,y) to the point P'(-x,y).

The point P(5,7) will first be translating 4 units down to get P'(5,7-4) = P'(5,3).

Point P'(5,3) will finally be reflected over the y-axis and maps to P''(-5,3).

The image is (-5,3)

Answer:

the answer is (-5,3)

Step-by-step explanation:

find a graph and reflect (5,7) over the y axis and then translate 4 units down.

math homework plz help​

Answers

Answer:

1/20

Step-by-step explanation:

1/20 thereee you gooooooo

Manuel recorded the daily temperatures for a month as part of a science assignment. The temperature at the beginning of the month was 50°F. At the end of the month, the temperature had increased to 64°F. Manuel wants to check the positions of these temperatures on the vertical number line. Apply what you know about inequalities and the horizontal number line to answer these questions about the vertical number line.

Manuel knows that 64 > 50. How are the positions of the numbers 64 and 50 related on the vertical number line?

Answers

Answer: On the vertical number line, 64 is located above 50.

Step-by-step explanation: This is the answer on Plato

Answer:

"On the vertical number line, 64 is located above 50"

Step-by-step explanation: this was edmentums answer not mine!

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