f(x)=4x^2+2x-6.find the range of function f(x).

Each friend will get 1 / 9 x of salad after 1 / 3 of salad was already eaten by the sister for evenly distributing the salad.

Let the total amount of salad be x

Sister ate salad = 1 / 3 x

Salad left after that = x - 1 / 3 x

Salad left after that = 2 / 3 x

Now, the leftover salad should be divided into 6 friends

So, after division, we will get that:

Salad = 2 / 3 x ÷ 6

Salad = 1 / 9 x

Therefore, each friend will get 1 / 9 x of salad after 1 / 3 of salad was already eaten by the sister for evenly distributing the salad.

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Answer:

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Collinear points are the points on the same line.

There are two lines in the diagram.

The collinear points:

The points that are collinear are  D,G and E  and another set of points which are collinear are L,G and J.

The points which lie on the same straight line are known as collinear points.

Similarly, if three or more number of points are collinear then they form a straight line.

If we observe the figure, the points D,G and E are collinear points as they are on same line.

Similarly the points L, G and H are in the straight line which makes them collinear.

Therefore , the points L,G and J are collinear points.

Hence, the points that are collinear are  D,G and E and another set of points which are collinear are L,G and J

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The simplified expression for ( x - y ) ( x - y ) ( x - y ) is x³ - x²y - xy² + y³.

To simplify ( x - y ) ( x - y ) ( x - y ), we can expand the expression using the distributive property of multiplication. We can also simplify the expression by combining like terms.

In using the distributive property of multiplication, we multiply each term in the first set of parentheses by each term in the second set of parentheses. This gives us:( x - y ) ( x - y ) ( x - y ) = ( x(x - y) - y(x - y) ) ( x - y )= ( x² - xy - xy + y² ) ( x - y )= ( x² - 2xy + y² ) ( x - y )

Now we can further simplify the expression by combining like terms. We can use the difference of squares formula to simplify the second set of parentheses.( x² - 2xy + y² ) ( x - y ) = ( x - y ) ( x - y )²= ( x - y ) ( x² - 2xy + y² )= x³ - x²y - 2xy² + xy² - xy² + y³= x³ - x²y - xy² + y³

Therefore, the simplified expression is x³ - x²y - xy² + y³.

Summary: To simplify ( x - y ) ( x - y ) ( x - y ), we expand the expression using the distributive property of multiplication. We simplify the expression by combining like terms. We use the difference of squares formula to simplify the second set of parentheses. Finally, we simplify the expression further by combining like terms. The simplified expression is x³ - x²y - xy² + y³.

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Answer:

0.2 hours

Step-by-step explanation:

Answer:

x=14.555

Step-by-step explanation:

Answer:

remember to round and do 14.6 thank me later

Step-by-step explanation:

Using a system of equations, it is found that she uses 700 ml of Solution B.

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

For this problem, the variables are given as follows:

She uses 400 milliliters less of Solution A than Solution B, hence:

x = y - 400.

Solution A is 20% alcohol and Solution B is 17% alcohol. The esulting mixture has 179 milliliters of pure alcohol, hence:

0.2x + 0.17y = 179.

Since x = y - 400, we have that:

0.2(y - 400) + 0.17y = 179.

0.37y = 259

y = 259/0.37

y = 700.

She uses 700 ml of Solution B.

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

Explanation:

The x+3 means "move right 3". We add 3 to whatever the x coordinate is.

For example, the point (1,7) becomes (4,7) after adding 3 to the x coordinate. That visually shifts the point 3 units to the right.

Similarly, subtracting 5 from the y coordinate will shift the point 5 units down. That's what the y-5 is referring to. Example: (10, 12) moves to (10, 7).

----------------

Extra info:

We can write the translation rule as \((x,y) \to (x+3, y-5)\)

With this notation, we can then say something like this for example

\((x,y) \to (x+3, y-5)\\\\(6,8) \to (6+3, 8-5)\\\\(6,8) \to (9, 3)\\\\\)

Showing that the point (6,8) moves to (9,3) after applying the rule "move right 3, down 5".  

What Phrase? I only see "Enter The Phrase As An Algbraic Expression"

r = - 0.98754

Answer:

Slope = - 0.7120

SE = 1.295

Step-by-step explanation:

Given the data:

0 | 33.3

0 | 31.0

3 | 29.8

3 | 27.8

6 | 28.0

6 | 29.0

10 | 25.5

10 | 23.8

20 | 18.3

20 | 15.5

30 | 11.7

Using the relation to Obtian the slope :

Slope, b = r(Sy/Sx)

r = correlation Coefficient ; Sy = standard deviation of Y - values ; Sx = standard deviation of X-values

r = - 0.98754

Slope, b = - 0.98754(7.8471 / 10.884) = - 0.7120

SE = √SSresidual / df

df = n - 2 = 12 - 2 = 10

SSresidual = 16.7812

SE = √(16.7812/ 10)

SE = 1.295

Answer:

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Answer:

I do not know but u try hard

Answer:

The expression 10√3 can be written as a single surd as (10√3) = (10 √3/1) = (10 √3)¹/¹ = (10√3)^(1/1) = 10√3.

ok

40 ------------------- 100

x ------------------- 7

x = (7 x 40)/100

x = 280/100

x = 2.80

Total paid = 40 + 2.8 = $42.8

Answer:

Hope This Helps

Step-by-step explanation:

S=450 + 30W

Plugging 14 into W, we get:  S= 450 +30(14)= $870.

Answer:

Evaluate

30x + 160xn

Step-by-step explanation:

Answer:

Solution :

30x + 80x^2

Step-by-step explanation:

1) Distribute the outer term into the first by multiplying the numerical values and then the terms

2) Repeat for the second one.

H (0) = 6 ,means

Ball was throwed, at a height of 6 feet

Part b)

At 2 seconds

h (t) = h (2) = -16•2^2 + 79•2 + 6 = 100

Andres ball height is= 78 feet

Then answer is Brett ball ,is higher

Part 3)

Number 7.

Brett ball in air ,was h(t) = 5 second aproximately

because when h(t) = 0 , 16t^2 = 79t + 6

for t= 5, 16t^2= 400

and 79t + 6 = 401

And Andre's ball was 4.25 seconds

ANSWER is Brett ball, was more time in air.

Answer:

the answer to this question is 19

Answer: m=19

Step-by-step explanation:

First you cross multiply the two fractions. So you get 9*m = 57*3.

When you put 57*3 in a calculator you get 171. So the equation is 9m=171 and then to isolate the x you divide by 9. So when you put 171/9 in a calculator you get 19. So the correct answer is C. 19.

Answer:

o.16 keeps going because it is a repeating decimal

Step-by-step explanation:1

3

–  

1

2

=  

1 × 2

3 × 2

–  

1 × 3

2 × 3

=  

2

6

–  

3

6

=  

2 – 3

6

=  

– 1

6

Answer:

he or she is right

o.16 keeps going because it is a repeating decimal

Step-by-step explanation:1

3

–  

1

2

=  

1 × 2

3 × 2

–  

1 × 3

2 × 3

=  

2

6

–  

3

6

=  

2 – 3

6

=  

– 1

6

hope this helps and let me know if im wrong

This question is an illustration of the distance postulate.

The complete text is: Between every pair of distinct points, there is a positive unique number called the distance

Take for instance, two distinct points A and B.

The number that measures the length of A and B is called the distance between A and B.

Assume that:

The positive number (i.e. the distance) between A and B would be:

\(d =B - A\)

\(d =6 - 1\)

\(d =5\)

Hence, the positive unique number is called the distance (and this is supported by the distance postulate).

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Answer:

it is 1 ok have fun babby and enjoy your Christmas ok baby bye bye

Answer:

1) 94, 2) 188, 3) 564

Step-by-step explanation:

This is pretty simple. The first thing you want to do is come up with an algebraic equation to solve this. It will be x + 2x + 6x=846 . The first x represents the smallest part, or the first part. The second part is represented by 2x because it is twice the first, and 6x is 3 times the second part which is 6 times the first part. Combine like terms to get 9x = 846. Now isolate the variable by dividing 9 from both sides. This will give you x = 94. Now just plug in the x to find the second and third part.

Hope this helped :)

Answer:

770in2

please brain or heart me im about to level up

Answer:

1. a)x² + y² = 29  ------------------(1)      

y² - x² = 23 ----------------(2)

y²  = 23 + x²

Using the value of y² in the first equation:

x²  + y²  = 29

x²  + (23 + x²)  = 29

2x²  = 6

x² = 3

x = √3

Using the value of x in equation (2)

y²  - x²  = 23

y²  - 3 = 23

y²  = 26

y = √26            and            x = √3

b) ( 1 - 12x) / 3 < 0   =   1-12x < 0  =  x > 1 / 12

(1-x) / 2 ≤ (3-x) 3  =  3 - 3x ≤ 6 - 2x  =   -3 ≤ x

In these 2 equations, the value of x will be the values of x common to both the inequalities

Since the second equation starts at a much lower value than the first equation, and they are both going up, all the values for the first equation will also stand for the second equation

Hence, the value of x for the given system of equations is

x  > 1/12

2.

3x² - 7x  + 2 ≥ 0

3x² -6x -1x  + 2 ≥ 0       (splitting the middle term)

3x(x - 2) -(x - 2) ≥ 0

(3x - 1)(x-2) ≥ 0

(3x-1) ≥ 0         or     (x-2) ≥ 0

x ≥ 1/3       or    x ≥ 2

Written above are the 2 solutions for the given equation

4.

We are given that Sin α = (2√3) / 3  or 2/√3

According to the pythagorean law:

sin²α + cos²α = 1

4 / 3  + cos²α = 1

cos²α = (3-4)/3

cos²α = -1/3

cos α = √(-1/3)      or    i / √3    since √-1 is also known as i

Cosec α = 1/ Sin α

Cosec α = 1 / (2/√3)

Cosec α = √3 / 2

Sec α = 1 / cos α

Sec α = 1 /  √(-1/3)

Sec α = (√3)  / (√-1)

Since (√-1) is also known as i , we can write this as:

Sec α = (√3)  / i

Tan α = Sin α / Cos α

Tan α = (2√3 / 3) / (i / √3)

Tan α = (2√3 * √3) / 3 * i)

Tan α = 2 / i

Cot α = 1/Tan α

Cot α = 1 / (2 / i)

Cot α = i / 2

Given parameters:

Area of the rectangular garden  = 359ft²

Unknown:

length and width of the garden  = ?

To find the length and breadth of the garden, we need to define and know that the area of a rectangle is.

 Area of a rectangle  = Length x Breadth

From the problem statement;

 Let w = width of the rectangular garden

        L = length of the garden;

 Now,

          length of a rectangular garden is 5 feet less than 4 times its width

           L = 4w - 5

Now let us substitute this into the equation;

       Area  = L x w

    359 = (4w - 5)w

           4w² - 5w - 359

Using:

          w = -b ± √b² -  4ac  /  2a

 where b  = -5 , a  = 4  and c = -359

  w  =   -(-5)  ± √-5² - 4(4)(-359)  /  2(4)

 w = 5 ± √25 + 5744 / 8

 w =  5 ± 75.9 / 8

 w  = \(\frac{5 + 75.9}{8} or \frac{5 - 75.9}{8}\)

  w  = 10.1ft

 The other solution is not possible it will be a negative value. Width value cannot be negative.

So L = 4w - 5  = 4(10.1) - 5 = 35.5ft

The length and breadth of the rectangular are 35.5ft and 10.1ft respectively.

Answer:

Line ZL and line LZ.

Step-by-step explanation:

Since it is a line (because a line needs to have two or more points to be able to graph), it can be represented in two ways. The first being ZL, and the second being LZ.

Brainliest please.

Answer:

Step-by-step explanation

Oh

9514 1404 393

Answer:

  irrational

Step-by-step explanation:

A number that can be written as the ratio of two integers is called a "rational" number. If it cannot be written that way, it is called an "irrational" number

Irrational numbers cannot be written as a fraction of p/q.

Rational numbers can be written as a fraction of p/q.

Using the ratio of the sides, we have:$x\sqrt{3} = 12\sqrt{3}$ (opposite the $60^{\circ}$ angle is 12$\sqrt{3}$)$x = 2\sqrt{3}\cdot6$ (the hypotenuse is $2x = 12\sqrt{3}$)Simplifying, we have:$x = 12\sqrt{3}$. Therefore $x=y=12\sqrt{3}$, which is our answer

In a 30-60-90 triangle, the sides have the ratio of $1: \sqrt{3}: 2$. Let's apply this to solve for the variables in the given problem.

Instructions: Use the ratio of a 30-60-90 triangle to solve for the variables. Leave your answers as radicals in simplest form. x=y=Let's first find the ratio of the sides in a 30-60-90 triangle.

Since the hypotenuse is always twice as long as the shorter leg, we can let $x$ be the shorter leg and $2x$ be the hypotenuse.

Thus, we have: Shorter leg: $x$Opposite the $60^{\circ}$ angle: $x\sqrt{3}$ Hypotenuse: $2x$

Now, let's apply this ratio to solve for the variables in the given problem. We know that $x = y$ since they are equal in the problem.

Using the ratio of the sides, we have:$x\sqrt{3} = 12\sqrt{3}$ (opposite the $60^{\circ}$ angle is 12$\sqrt{3}$)$x = 2\sqrt{3}\cdot6$ (the hypotenuse is $2x = 12\sqrt{3}$)Simplifying, we have:$x = 12\sqrt{3}$

Therefore, $x=y=12\sqrt{3}$, which is our answer.

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Answer:

y = 3/2 x - 11

Step-by-step explanation:

Recall that a perpendicular line to the expression:

2 x + 3 y = 15

3 y = - 2 x + 15

y = - 2/3 x + 15/3

is going to have a slope equal to the opposite of the reciprocal of the original (-2/3) slope. So, the slope of the perpendicular line must be: 3/2.

We use this value in a general point-slope form of a line, where we use the point (2, -8) :

y - (-8) = 3/2 (x - 2)

y + 8 = 3/2 x - 3*2/2

y + 8 = 3/2 x - 3

y = 3/2 x - 3 - 8

y = 3/2 x - 11