Find the vertex of the parabola. Write your answer as an ordered pair.



y equals 2 x squared plus 3

Answer:

0.067 gallons ( to 2 decimal places)

Step-by-step explanation:

First, note that since the same amount of vinegar was used in each container, it means that the 1 gallon of vinegar was divided equally to the 15 containers, hence the amount of vinegar used in each dye container is calculated as follows:

total volume of vinegar = 1

number of egg dye containers = 15

if equal volume of vinegar was used in each container:

volume of vinegar in each egg dye container = 1 ÷ 15 = 0.067 gallons ( to 2 decimal places)

Remember: volume=length x width x height

So  i think its 15, 15, and neither of them have greater volume.

Answer:

No solution

Step-by-step explanation:

6-2z+2z = -1

6 = -1

Answer:

x = ( √11 + 5 ) / 2, and x = ( - √11 + 5 ) / 2

Step-by-step explanation:

Let us solve by completing the square;

7 = - 2x^2 + 10x, ⇒ Switch sides,

- 2x^2 + 10x = 7, ⇒ Divide both sides by - 2,

x^2 - 5x = - 7 / 2, ⇒ Write the equation in the form x^2 + 2ax+ a^2, ( x + a )^2, solving for the value of a,

2ax = - 5x,

a = - 5x / 2x,

a = - 5 / 2, ⇒ Add a^2 ⇒ ( - 5 / 2 )^2 to either side of equation,

x^2 - 5x +  ( - 5 / 2 )^2 = - 7 / 2 + ( - 5 / 2 )^2, ⇒ Simplify,

( x - 5 / 2 )^2 = 11 / 4,

| x - 5 / 2 | = √ ( 11 / 4 ), Solve for value( s ) of x,

Answer; x = ( √11 + 5 ) / 2, and x = ( - √11 + 5 ) / 2

The solutions to the equation are x = 5/2 + √(11/2) or x = 5/2 - √(11/2).

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

First, we need to rewrite the equation in standard form:

-2x² + 10x - 7 = 0

Next, we can factor out -2 from the variable terms:

-2(x² - 5x) - 7 = 0

To complete the square, we need to add and subtract the square of half the coefficient of x:

-2(x² - 5x + 25/4 - 25/4) - 7 = 0

Simplifying.

-2((x - 5/2)² - 25/4) - 7 = 0

Distributing the -2 and simplifying further:

-(x - 5/2)² + 25/2 - 7 = 0

Combining like terms:

-(x - 5/2)² + 11/2 = 0

Adding 11/2 to both sides:

-(x - 5/2)² = -11/2

Dividing both sides by -1:

(x - 5/2)² = 11/2

Taking the square root of both sides (remembering to consider both the positive and negative roots):

x - 5/2 = ± √(11/2)

Adding 5/2 to both sides:

x = 5/2 ± √(11/2)

Thus,

The solutions to the equation are x = 5/2 + √(11/2) or x = 5/2 - √(11/2).

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Answer:

-102

Step-by-step explanation:

Answer:

1 and 4

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

[tex]2x^{4}y - 18x^{2}y^{3}[/tex]

Both sides have [tex]x^{2}[/tex]

[tex]x^{2} (2x^{2}y - 18y^{3})[/tex]

Both sides have y

[tex]yx^{2} (2x^{2} - 18y^{2})[/tex]

Both sides have 2

[tex]2yx^{2} (x^{2} - 9y^{2})[/tex]

[tex]x^{2} = x.x\\9y^{2} = 3y. 3y[/tex]

[tex](x^{2} - 9y^{2}) = (x +3y) (x-3y)[/tex]

Final:

[tex]\red{ 2 {x}^{2} y(x - 3y)(x + 3y)}[/tex]

Hope this helps ^-^

The factored expression is 2x²y(x + 3y)(x- 3y), and option (B) is correct.

The act of expressing a number or other mathematical object as the sum of numerous factors is known as factorization.

The given expression is 2x⁴y-18x²y³.

Factor the expression as follows:

2x⁴y-18x²y³

= 2x²y(x² - 9y²)

= 2x²y(x² - (3y)²)

= 2x²y(x + 3y)(x- 3y)

Hence, the factored expression is 2x²y(x + 3y)(x- 3y), and option (B) is correct.

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The mean absolute deviation of the data is 30.

Given data:

To find the mean absolute deviation (MAD) of the given data, we need to follow these steps:

Calculate the mean (average) of the data set.

Find the absolute difference between each data point and the mean.

Calculate the mean of these absolute differences.

Given data set: 60, 105, 80, 125, 140, 95, 65, 170

Step 1:

Calculate the mean

Mean = (60 + 105 + 80 + 125 + 140 + 95 + 65 + 170) / 8

Mean = 840 / 8

Mean = 105

Step 2:

Find the absolute difference between each data point and the mean

|60 - 105| = 45

|105 - 105| = 0

|80 - 105| = 25

|125 - 105| = 20

|140 - 105| = 35

|95 - 105| = 10

|65 - 105| = 40

|170 - 105| = 65

Step 3:

Calculate the mean of the absolute differences

MAD = (45 + 0 + 25 + 20 + 35 + 10 + 40 + 65) / 8

MAD = 240 / 8

MAD = 30

The mean absolute deviation of the given data set is 30.

Interpretation:

The mean absolute deviation represents the average amount by which each data point deviates from the mean. In this case, the MAD of 30 indicates that, on average, the data points in the set deviate from the mean by approximately 30 units.

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Answer:

the first and last one apply

Step-by-step explanation:

just did it on edu

The equations that can be used to solve for the unknown lengths of △ABC is as follows

sin 45 = BC / 9

cos 45 = BC / 9

The ratio are represented as follows:

The trigonometric ratios that can be used to find unknown sides is as follows:

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Answer:

some Equivalent expressions to 3(6m)+m is;

18m+m

6(3m)+m

2(9m)+m

19m

Step-by-step explanation:

30

Step-by-step explanation:

there are 5 outcomes for each card, and 6 for the die. 5x6 is 30. I hope this helps!

Answer:

1 : 3

Step-by-step explanation:

¼ of the biscuits are chocolate while the rest are plain.

Since a fraction is a part of a whole, 1, then it means that the fraction that are plain is:

1 - ¼ = ¾

Therefore, the ratio of chocolate biscuits to plain biscuits is:

¼ : ¾

To put this in simplest dorm, multiply both sides by 4, we have:

1 : 3

This is the ratio of chocolate biscuits to plain biscuits.

The ratio of the numbers of the chocolate biscuits to plain biscuits to its simplest form is [tex]\mathbf{1:3}[/tex]

In probability, we know that the sum of all the outcomes is usually equal to one.

Given that:

The number of biscuits that are chocolate on the plate is = 1/4

The rest of the biscuits that are plain will be = 1 - 1/4

[tex]= \mathbf{\dfrac{3}{4}}[/tex]

Now, the ratio of the numbers of the chocolate biscuits to plain biscuits to its simplest form is:

[tex]\mathbf{\dfrac{1}{4}:\dfrac{3}{4}}[/tex]

[tex]\mathbf{\dfrac{1}{4} \times \dfrac{4}{3}}[/tex]

= 1 : 3

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Answer:

35°

Step-by-step explanation:

First you find the sine of x. That would be

sinx = opposite/hypotenuse

sinx = 57/100

sinx = 0.57

You can look it up if you want, but sin35 = 0.574

so the answer is 35°

The closest to the value of x is 35°.

Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.

In order to find the sine of x. That would be

sinx = opposite/hypotenuse

sinx = 57/100

sinx = 0.57

sin35 = 0.574

Hence, the answer is 35°.

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Answer:

16 x^20

Step-by-step explanation:

(2x^5) ^4

We can separate this into

2^4  * x^5^4

We know that a^b^c = a^(b*c)

16 x^(5*4)

16 x^20

Answer:

The answer is b

Step-by-step explanation:

there is no flow chart

Answer:

WHAT FLOWCHART?

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

-

Answer:

yes

Step-by-step explanation:

Answer: 1/5

Step-by-step explanation:

From the question, there are ten dogs at the dog park on a busy Saturday and two of the dogs are Corgis. The probability that a randomly selected dog is a Corgi will be the number of Corgis divided by the total number of dogs. This will be:

Probability (Corgi) = Number of Corgis/total number of dogs.

Probability (Corgi) = 2/10

= 1/5

Answer:

-21i

Step-by-step explanation:

[tex]i^{2}[/tex] = -1

7*3=21

21 x -1 = -21

Answer:

-21

Step-by-step explanation:

Answer:

Maya is correct.

Step-by-step explanation:

Khan Academy gave me the answer.

Answer 5 ft 4 in

Step-by-step explanation:

2 1/2 + 2 1/2=5 + 4 inches

Answer:

The correct option is;

[tex]\frac{1}{\pi }[/tex]

Step-by-step explanation:

Here we have that

[tex]Probability = \frac{Number \, of \, required\, outcomes}{Number \, of \, possible\ outcomes} = \frac{Dimension \, of \, the \, line}{Size \, of \, the \ needle} = \frac{l \times D}{\pi \times D \times l } = \frac{1}{\pi }[/tex]

Therefore, the probability that the needle will cut the line = 1/π.

Answer:

Volume, [tex]V=73728\pi \ m^3[/tex]

Step-by-step explanation:

The formula for the volume of hemisphere is given by :

[tex]V=\dfrac{2}{3}\pi r^3[/tex]

r is radius of hemisphere, r = 48 m

[tex]V=\dfrac{2}{3}\pi\times (48)^3\\\\V=73728\pi \ m^3[/tex]

So, the volume of hemisphere is [tex]73728\pi \ m^3[/tex].

Step-by-step explanation:

{2x+8y=14

{216x-4y=14

{x+4y=7

{216x-4y=14

217x=21

x=3/31

2*3/31+8y=14

y=107/62

(x,y)=(3/31, 107/62)

2*3/31+8*107/62=216*3/31-4*107/62=14

14=14=14 since all of the equalities are true the order pair is the solution of the system (x,y)=(3/31, 107/62)

hope this helps :)

Answer:

Third option (-3 and 2)

Step-by-step explanation:

You do not need graphs for this necessarily. you just have to build two equations:

0=x+3

0=x-2

if you solve them, the results are:

-3 = x

2 = x

Answer:

option 3 is correct that is (-3,2) is the solution.

Step-by-step explanation:

Answer:

See explanation

Step-by-step explanation:

[tex]tan \: A = \frac{2 \sqrt{a} }{a - 1} ...(given) \\ \because \: {sec}^{2} \: A = 1 + {tan}^{2}\: A \\ \therefore\: {sec}^{2} \: A = 1 + \bigg(\frac{2 \sqrt{a} }{a - 1} \bigg)^{2} \\\\ \hspace{38 pt} = 1 + \frac{4a}{ {(a - 1)}^{2} } \\ \\ \hspace{38 pt}= \frac{(a - 1)^{2} + 4a}{ {(a - 1)}^{2} } \\ \\\hspace{38 pt} = \frac{a^{2} - 2a + 1+ 4a}{ {(a - 1)}^{2} } \\ \\ \hspace{38 pt}= \frac{a^{2} + 2a+ 1}{ {(a - 1)}^{2} } \\ \\ \hspace{38 pt}= \frac{(a + 1)^{2}}{ {(a - 1)}^{2} } \\ \\ \therefore {sec}^{2} \: A = \bigg(\frac{a + 1}{ {a - 1}} \bigg) ^{2} \\ \\ \therefore \: {sec} \: A = \pm \bigg(\frac{a + 1}{ {a - 1}} \bigg)\\ \\ [/tex]

In the question It is not mentioned that in which quadrant does angle A lie, so we will assume it to be in first quadrant.

[tex] \therefore \: {sec} \: A = \bigg(\frac{a + 1}{ {a - 1}} \bigg)\\ \\

\red{ \boxed{ \bold{\therefore \: {cos} \: A = \bigg(\frac{a - 1}{ {a + 1}} \bigg)}}} \\ \\ {sin} \: A ={cos} \: A \times {tan} \: A \\ \\ \hspace{25 pt}=\bigg(\frac{a - 1}{ {a + 1}} \bigg) \times \frac{2 \sqrt{a} }{a - 1} \\ \\ \purple {\boxed { \bold{{sin} \: A = \frac{2 \sqrt{a} }{a + 1}}}}[/tex]

Answer:

Lana can put 24 drops of bubble bath for her sister

Step-by-step explanation:

If package says to put in a drop of bubble bath for every half gallon of water in the bath tub.

If the bathtub can hold 12 gallons of water

There are 12÷1/2 gallon

=12×2/1

=24

It means there are 24 half gallons in the bathtub

If every half gallon of water requires a drop of the bubble bath

Then,

24 half gallons of water requires 24 drops of the bubble bath

Answer:

[tex]a_{n}=3^{n}[/tex]

Step-by-step explanation:

We can start solving this problem by making a list of the number of chain emails that are sent on each round:

Round one:

[tex]a_{1}=3[/tex]

which represents the three friends you send the mail to.

Round two:

[tex]a_{2}=3*3=9[/tex]

since each of your friends sends the mail to another three friends, then we multiply the original 3 friends by 3 to get a total of 9.

Round three:

[tex]a_{3}=3*3*3=9*3=27[/tex]

on the next round we multiply the previous 9 persons by 3 mails each giving us a total of 27 persons receiving the mail. A patter starts showing here. Notice that for each round we need to take the previous round number an multiply it by 3. When we have a number being multiplied by itself n times, we rewrite it as a power, so the expression for the nth term will be:

[tex]a_{n}=3^{n}[/tex]

which is our final answer.

Answer:

1)  14

2) -8

Step-by-step explanation:

-2 × (-7) = 14

24 ÷ (-3) = -8

Answer:

complicated process just think and do the math If I was helpful pls be thnked

Step-by-step explanation:

Answer:

Step-by-step explanation:

(3-1)/(-2-3)= -2/5

y - 1 = -2/5(x-3)

y - 1 = -2/5x + 6/5

y - 5/5 = -2/5x + 6/5

y = -2/5x + 11/5

standard form is

5y = -2x + 11

2x + 5y = 11

Answer:

10.8

Step-by-step explanation:

5 times what gives 6? 5 times 1.2

So now you just do 9 times 1.2 which is 10.8

Answer:

10.8

Step-by-step explanation:

5*x=6

5*1.2=6

9*1.2=r

r=10.8