A watering can dispenses water at the rate of 0.3 gallon per minute. The original volume of water in the can was 7 gallons. Which set of ordered pairs shows the volume of water in the can in gallons (y), as a function of time in minutes (x), from the first minute after the can starts dispensing water? (1 point)

{(1, 6.7), (2, 6.4), (3, 6.1)}
{(1, 7.0), (2, 6.7), (3, 6.4)}
{(6.7, 1), (6.4, 2), (6.1, 3)}
{(7.0, 1), (6.7, 2), (6.4, 3)}

Given:

The equation is

[tex]y=-1(x-4.5)^2+15.25[/tex]

To find:

The standard form of the given equation.

Solution:

We have,

[tex]y=-1(x-4.5)^2+15.25[/tex]

It is a quadratic equation.

The standard form of a quadratic equation is [tex]y=ax^2+bx+c[/tex]. So, we need to write the given equation in this form.

[tex]y=-(x-4.5)^2+15.25[/tex]

[tex]y=-[x^2-2(x)(4.5)+(-4.5)^2]+15.25[/tex]         [tex][\because (a-b)^2=a^2-2ab+b^2][/tex]

[tex]y=-[x^2-9x+20.25]+15.25[/tex]

[tex]y=-x^2+9x-20.25+15.25[/tex]

[tex]y=-x^2+9x-5[/tex]

Therefore, the required equation in standard form is [tex]y=-x^2+9x-5[/tex].

Answer:

13

Step-by-step explanation:

2 to the power of 4 - 6 divided 2

16 - 6 divided by 2

16 - 3

13

Answer: 13

Step-by-step explanation:

2 to the power of 4 =

16 - 6/2 = 16 - 3 = 13

Answer:5 N to the left

Step-by-step explanation:

Answer:

The Net Force is the difference of force. In this case

10N to the left - 5 N to the right = 5N to the left

Answer:

-18 + 3k

3k - 6

24k - 48

Step-by-step explanation:

thats just to name a few of the infinite possibilites

Answer:

The answer to your question is 2

Answer:

32.50

Step-by-step explanation:

It is simple. You need to know the basics of money, fractions, and well... Math! :)

if you take 13 and multiply it by 2 you get 26

Take the 26 and put it aside ------------->         26

divide 13 in half. that would be 6.50

6.50 + 6.50 = 13      

Now get the 26 -------------------------->  26

and add 6.50 to 26.

That would be 32.50!

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Answer:

A rift valley is forming.

Step-by-step explanation:

Both of the tectonic plates are moving away from eachother. That will cause a rift between the two plates.

Answer:

The answer is C. 10

Step-by-step explanation:

Answer:

Step-by-step explanation:

question please

Answer:

20%, 40%, 60%, 80%

Step-by-step explanation:

Answer:

Angel has a greater ratio of pencils to pens.

i.e. Angle's pencils to pens = 3 / 2 or 63/42

Thus, option (B) is true.

Step-by-step explanation:

Considering the table

Lydia's Number of Pencils = 10

Lydia's Number of Pens = 7

Lydia's Pencils to Pens ratio = 10/7

Angel's Number of Pencils = 9

Angel's Number of Pens = 6

Angels's Pencils to Pens ratio = 9/6 = 3 / 2

Elizabeth's Number of Pencils = 12

Elizabeth's Number of Pens = 9

Elizabeth's Pencils to Pens ratio = 12/9 = 4 / 3

So, We get the inputs ratios such as:

Lydia's ratio:  Angels's ratio: Elizabeth's ratio

      10/7      :         3 / 2         :        4 / 3

As the least common denominator (LCD) is: 42

Rewriting as equivalent fractions with the LCD:

10/7            :         3 / 2         :        4 / 3

60 / 42       :        63/42       :       56/42

Sorting from least to greatest:

Sorting this table by the numerators of the equivalent fractions in order from least to greatest:

Elizabeth's ratio       :         Lydia's ratio       :    Angels's ratio:  

4/3                             :         10 /7                  :        3 / 2

56/42                        :          60 / 42             :         63/42

Therefore, Angel has a greater ratio of pencils to pens.

i.e. Angle's pencils to pens = 3 / 2 or 63/42

Thus, option (B) is true.

Answer:

What was the origainal price?

Step-by-step explanation:

Answer:

x = 20°

Step-by-step explanation:

Lines and Angles

Rays PM and MQ divide the straight-line LN angle of 180° into three angles: 45°, 6x-5, and x.

Thus, we have:

45 + 6x - 5 + x = 180

Simplifying:

40 + 7x = 180

Subtracting 40:

7x = 180 - 40

7x = 140

Dividing by 7:

x = 140/7 = 20

x = 20°

*tuff scrolls

*looks at other hard things

Answer:

Their account balances will never be equal.

Step-by-step explanation:

I basically ran the math. 500 minus 12 times anything from 1-40 cannot equal 600 minus 15 times anything from 1-40. When we come to 600 - (15*40) we get zero.

The graph that shows a proportional relationship that passes through the point (2, 1) is Graph A.

A line is defined as a shortest distance between two points. In order to determine the graph that shows a proportional relationship that passes through the point (2, 1), we will need to multiply the coordinate by a scale factor and determine whether the point is on the line.

Using a factor of 2;

New coordinate = 2(2, 1)

New coordinate = (4, 2)

From the given graph, you can see that the only graph that has the coordinate point (4, 2) is the Graph A.

Learn more on graph of a line here: https://brainly.com/question/24894997

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Answer:

no solution with given parts of equation

Step-by-step explanation:

4(x-1)+3-2/2=n

4(x+1)+3-1=n

4(x+1)+2=n

4x+4+2=n

4x+6=n

Alternatively:

Slope = 4

x-intercept = -1.5

n-intercept = 6

Answer:

If you're looking for a simplified answer it would be: 4x-2

Step-by-step explanation:

Answer:

square root 8

Step-by-step explanation:

trust bro

The required simplified expression of the given expression 10x -(-7+6x) is 4x - 7.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
To simplify the expression 10x -(-7+6x), we can apply the distributive property of multiplication over addition and simplify the expression inside the brackets first.

-(-7+6x) = -1×(-7) + (-1)×6x
          = 7 - 6x

Substituting this result into the original expression gives:

10x -(-7+6x) = 10x + 7 - 6x

Now we can combine like terms by adding the x terms and the constant terms separately:

= (10x - 6x) + 7

= 4x - 7

Therefore, 10x -(-7+6x) simplifies to 4x - 7.

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Step-by-step explanation:

1; x <-2 (this one has the line under the sign)

2;x>2

3;x-2<0

4;2<x ( this one has the line under the sign)

5; -2<x

Answer:

Rises to the left and falls to the right

Step-by-step explanation:

Use the degree and the leading coefficient to determine the behavior.

The end behavior will be as x approaches infinity, and negative infinity, f(x) approaches infinity.

Function is a type of relation, or rule, that maps one input to specific single output.

The function f(x) is defined as;

f(x)= 123x³+9[tex]x^4[/tex] - 768x - 3[tex]x^5[/tex] - 189x² + 1260

WE need the degree and the leading coefficient to determine the behavior.

Since our leading coeffeicent has a leading even degree of 5, and a positive number,

The function will Rises to the left and falls to the right.

The end behavior will be as x approaches infinity, and negative infinity, f(x) approaches infinity.

Learn more about function here:

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Answer:

32

Step-by-step explanation:

divide 352 by 11

The required rate for Nevaeh's car uses 32 miles per gallon of gas.

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operations is called the arithmetic operator.

/ Division operation: Divides left-hand operand by right-hand operand

For example 4/2 = 2

The required rate of car use gas is the ratio of the total distance traveled by car to the number of used gallons for the car to reach its destination.

Here total distance traveled by car = 352 miles

And the number of used gallons = 11

the car uses gas = 352 miles / 11 gallons

the car uses gas = 32 miles per gallon

Therefore, the required rate for his car uses 32 miles per gallon of gas.

Learn more about the Ratio here:

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Answer:

128.39

Step-by-step explanation:

37% -----> 0.37 x 347= 128.39

Answer:

Step-by-step explanation:

use the formula

tanФ⁻¹ = y/x

where y = 3

           x = 9

plugin values into the formula:

tanФ⁻¹ = y/x

           = 3/9

tanФ⁻¹ = 0.3

     Ф = inv. tan 0.3

     Ф = 18.4°

therefore, the angle D = 18.4°

Answer:

its 4/24 :)))))))))))))))))

Answer:

its a

Step-by-step explanation: