11. Tom works at an aquarium, he is asked to clean the coral reef tank. The function
graphed below represents the amount of water in gallons, y, of a the tank after x, hours.
y
225
Word Bank.
200
175
Slope, linear, quadratic,
exponential, y = mx +b, y =
ax²+bx+c, y-intercept, x-
intercept.
150
Water (gallons)
125
100
75
50
25
o
0 1 2 3 4 5 6 7 8
Time (hours)
The graph represents a
function. In which the equation is
The
feature of the graph shows the point at which
the tank ends its draining. The
shows the initial amount of water in
the tank before cleaning which is
The
is negative which shows
the amount of water being drained over the number of hours.

Answer:  Approximately 1.0714 gallons

===========================================

Work Shown:

x = amount of pure water

3 gallons of 95% alcohol means you have 3*0.95 = 2.85 gallons of pure alcohol.

If we add on x gallons of pure water, we'll have 3+x gallons of solution

So we'll have 2.85/(3+x) representing the ratio of the amount of pure alcohol to total solution. Set this equal to 0.70 and solve for x

2.85/(3+x) = 0.70

2.85 = 0.70(3+x)

2.85 = 0.70(3)+0.70(x)

2.85 = 2.10+0.70x

2.85-2.10 = 0.70x

0.75 = 0.70x

0.70x = 0.75

x = 0.75/0.70

x = 1.07142857142858 which is approximate

x = 1.0714

So if you add about 1.0714 gallons of pure water, you'll go from 95% alcohol to 70% alcohol.

Answer:

y = 2x - 3

Step-by-step explanation:

The graph is a straight line, thus linear with equation

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (3, 3) and (x₂, y₂ ) = (6, 9) ← 2 points on the line

m = [tex]\frac{9-3}{6-3}[/tex] = [tex]\frac{6}{3}[/tex] = 2 , thus

y = 2x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (3, 3 ), then

3 = 6 + c ⇒ c = 3 - 6 = - 3

y = 2x - 3 ← equation relating x and y

The equation whigh relates x and y points on the graph can be expressed in slope-intercept form as y = 2x - 3

The general form of a slope - intercept equation is :

Slope, b = Rise / Run

Slope, b = 6/3 = 2

Taking a pair of point on the graph :

(3, 3)

3 = 2(3) + c

3 = 6 + c

3 - 6 = c

c = - 3

Therefore equation can be expressed thus :

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Answer:

the mean

Step-by-step explanation:

the mean basically means average, and you have to find out the average distance so ya.

hope this helps

please mark as brainliest thank you

A conic section can be an ellipse, a parabola or a hyperbola.

The equation of the conic section represents a hyperbola

The equation of the conic section is given as:

[tex]\frac{-5x^2}{10} - \frac{5y^2}{2} = 1[/tex]

The equation of a hyperbola is represented as:

[tex]\frac{x^2}{a^2} - \frac{y^2}{b^2} = 1[/tex]

By comparing the given equation of the conic section and the general equation of a conic section, we can see that both equations are similar in some aspect

Hence, the equation of the conic section represents a hyperbola

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Answer:

it is C on edg2020

C.) parabola

Step-by-step explanation:

Answer:

  f(x) +g(x) = x^2 +x -20

  domain: all real numbers

Step-by-step explanation:

The sum of two polynomial functions is found by adding the terms of each function definition:

  f(x) +g(x) = (x -4) +(x^2 -16)

  f(x) +g(x) = x^2 +x -20

__

The domain of any polynomial is "all real numbers." The set of polynomials is closed to addition, meaning the sum of any polynomials is another polynomial. The sum, too, will have a domain of "all real numbers."

Answer:

1320 cones

Step-by-step explanation:

1 mile = 5280 feet

For every 4 feet, 1 cone is placed so

5280/4 = 1320

Therefore 1320 cones are used.

Any questions lmk

Answer:  B. a + (-b) = 7

Step-by-step explanation:

The answer is B. a + (-b) = 7. a + (-b) is the same thing with a - b.

A. a + b = -7

a - b = 7 means the differences of a and b is 7, choice A is talking about their sum, so it could not be true.

C. -a - b = 7

if you multiply -1 on both sides, you will get a + b = -7. Therefore, it will not be true.

D. b - a = 7

a - b = 7 means that a is 7 more than b. The choice d shows the opposite, which it states that b is 7 more than a. Therefore, it is not true.

Answer:

(2,-0.5)

Step-by-step explanation:

Answer: (2,-0.5)

Step-by-step explanation:

You need to find the difference between the x's and the y's, then divide by 2.

Step 1: Find the difference between the x's

5 + -1 = 4

Step 2: Find the difference between the y's

-4 + 3 = -1

Step 3: Divide both the results by 2

4/2 = 2

-1/2 = -0.5

Hey there!

=> n + 652 = 17 { Substract 652 from both sides}

=> n + 652 -652 = 17 - 652

=> n = 17 -652

=> n = -635

Therefore, N = -635

Answer:

A photographer needs a frame for a 16 x 20 inch picture, such that the total area is 340 in2. Calculate the width of the frame. Which of the following quadratic equations would be used when solving this?

Step-by-step explanation:

who df deleted my answer

BebeHowILook

Answer: 4x^2+72x=20

Step-by-step explanation: I took the quiz.

Answer:

i think it is B

Step-by-step explanation

i hope this helps

Answer:

swim bike and run.

Step-by-step explanation:

y=14

10y=140

Divide both sides by 10.

y=

10

140

​

Divide 140 by 10 to get 14.

y=14

The slope of a line perpendicular is -5/3 to the line whose equation is 6x-10y = 140.

The slope of a line is defined as the inclination of the line. It is denoted by m

Slope m = (y₂ - y₁)/(x₂ -x₁ )

Make the following equation in slope-intercept form:

y = mx + b

where m denotes the slope and (0,b) denotes the y-intercept (the point at which x = 0).

The given equation is:

6x - 10y = 140

-10y = - 6x + 140

Divided by -10 into both sides of the equation,

y = (6/10)x + 140/(-10)

y = (3/5)x -14

Here m = 3/5, b is (0,14)

The slope of this line is 3/5.

The slope of all of its perpendicular lines is (-1/m), which is the negative reciprocal of slope m.

Therefore, the slope of all perpendicular lines is (-5/3).

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Discontinuity is the value of x or y for which the function is not defined. The function is discontinued at points x=0 and x=4.

The discontinuity is the value of x or y for which the function is not defined. It is represented by a blank dot at the point at which it is not defined.

The discontinuity of the function is represented by a blank dot, and it is the point where the function is not defined.

If we look in the graph, we will find that there are three blank dots, which are at:

x = -2

x = 0

x = 4

Now, since discontinuity means that the function is not defined but as we can see that the value of the function is defined at x = -2, therefore, we are left with only two options which are x=0 and x=4.

Hence, the function is discontinued at points x=0 and x=4.

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Answer:

1. b,c,e

2. c

Step-by-step explanation:

Answer:

D: -5,2,6

Step-by-step explanation:

Answer:

a. x - cd = 0

b. d = 1 / 2

Step-by-step explanation:

d = 2

c = 7

a.

c is inversely proportional to d,

c ∝ 1 / d

This inversely proportional need to be removed by using a variation / variable.

Let the variable be " x ".

c = x / d

Multiply d on both sides,

cd = x

x = cd

Subtract cd on both sides,

x - cd = 0

Hence, the equation is " x - cd = 0 ".

b.

By using the equation,

x - cd = 0

Add cd on both sides,

x = cd

c = 17, d = 2

x = 17 * 2

x = 34

To find d, when c = 68.

x = cd

34 = 68 * d

Divide 68 on both sides,

34 / 68 = d

1 / 2 = d

d = 1 / 2

Answer:

It would be (3,2) since it is being reflected over the line it is already on

Step-by-step explanation:

Answer:(3,2)

Step-by-step explanation:Doube check make sure you double check and not click (3,-2) THAT IS NOT THE ANSWER THE ANSWER IS (3, 2)

The factorisation of the polynomial [tex]2x^3+8x^2+3x+12[/tex] can be done as [tex](2x^2+3)(x+4)[/tex].

A factor of n is a number that when multiplied by another number gives us the number n.

In order to factorise the given polynomial, we need to take the common terms out, therefore, the factorisation of the given polynomial can be done as,

[tex]2x^3+8x^2+3x+12[/tex]

Take 2x² as the common term from the first two terms and 3 from the last two terms,

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

Hence, the factorisation of the polynomial [tex]2x^3+8x^2+3x+12[/tex] can be done as [tex](2x^2+3)(x+4)[/tex].

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Hi!

To find the surface area, we must first find the area of all of the faces and then add them together.

Because every face is the same size, the formula will be:

6(8 x 8)

6 represents the number of faces and 8 x 8 represents the formula to find the area of each.

6(8 x 8) =

6(64) =

384

The surface area of the cube is 384 square inches.

I hope this helps you!

-Nishaun

Answer:

321.44

Step-by-step explanation:

(234.67+150)-63.23

Answer: a

Step-by-step explanation:

Answer:

If I read the question right, then the answer is -36.5.

Step-by-step explanation:

Like I said, only if I read the question right. I read it as

(-35) - 1.5.

If I'm wrong, then I'm sorry.

The product of (−35)∙(−1). (5) will be 105. It is obtained by multiplying the term one by one.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

We can utilize multiplication for a number of common tasks, such as figuring out how much it will cost to buy several identical things, calculating sales tax, and figuring out area and other geometric measurements.

It is given that,

=(−35)∙(−1).5

Multiply the term step by step as

=(−35)∙(−1).5

The multiplication of two negative terms gives a positive value.

=(35)5

=105

Thus, the product of (−35)∙(−1). (5) will be 105. It is obtained by multiplying the term one by one.

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Answer:

Step-by-step explanation:

x->5

y->2

x*5+y*2=60

if x=10——> y=5 ——> 50+10=60

if x=8——> y=10——> 40+20=60

if x=6——> y=15 ——> 30+30=60

if x=4——> y=20 ——> 20+40=60

if x=2——> y=25 ——> 10+50=60

Answer:

3

Step-by-step explanation:

Answer:

x^2+x

Step-by-step explanation:

multipling all sides by x+1