Select all of the solutions to the equation.

The graph of this function opens up and all the y-values range from -3 to infinity, so therefore the range is all x≥-3

The range of the function f(x) = |x| – 3 is {f(x) ∈ ℝ | f(x) ≥ –3}. The correct option is A.

The range of a function in mathematics can refer to one of two closely related ideas: The function's codomain a representation of the action A binary relation f between two sets X and Y is a function if there is exactly one y in Y such that f connects x to y for every x in X.

A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

The graph of this function opens up and all the y-values range from -3 to infinity, therefore, the range is all x≥-3. The graph is attached with the answer below.

Therefore, the range of the function f(x) = |x| – 3 is {f(x) ∈ ℝ | f(x) ≥ –3}. The correct option is A.

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Step-by-step explanation:

y = 1/x^2 => g

y = x^2 => a

y = (x)^1/3 => f

y = 1/x => b

Option B is right perpendicular bisectors of the sides of the triangle

If we draw a circle through all the vertices of a triangle then the circle obtained is the circumcircle of the given triangle. We have in a triangle there are some properties inherent.

One is the perpendicular bisectors of all sides are concurrent. These three concur at a point called the circumcentre of the triangle.

When we draw a perpendicular bisector for a side AB, we get that all points on the perpendicular bisector are equidistant from A and B.

When we take the point of intersection of the perpendicular bisector of AB and BC, we have the intersecting point S(say) is equidistant from A and B and also from B and C

In short, this is equidistant from all 3 vertices and hence is the centre of the circumcircle of triangle ABC

Therefore Option B is right perpendicular bisectors of the sides of the triangle.

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The ratio that compares the men to the women who work at the warehouse is 4 : 1.

A ratio is a value that shows the proportional relationship between two quantities.

A ratio indicates how many times one number is contained in another.

For example, in the above task, there is 4x the number of men when compared with the number of women who work at the warehouse.

Men working at the warehouse = 1,200

Women working at the warehouse = 300

Ratio of men to women = 4 : 1 (1,200 : 300)

Thus, the ratio that compares the men to the women who work at the warehouse is 4 : 1.

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Answer: 4:1

i just took a test

Step-by-step explanation:

Answer: (1,2)

Step-by-step explanation:

I will help you..

Given:

[tex]-2x-5y=-12\\10x-4y=2[/tex]

Lets cancel out the x term..

[tex]5(-2x-5y)=-12(5)\\=-10x-25y=-60[/tex]

Now our system looks like this:

[tex]-10x-25y=-60\\10x-4y=2[/tex]

Add.

[tex]-29y=-58\\y=2[/tex]

plug in 2 for y

[tex]-2x-5(2)=-12\\-2x-10=-12\\-2x=-2\\x=1[/tex]

Therefore the system is:

[tex](1, 2)[/tex]

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Answer:

y=2 x=1

Step-by-step explanation:

1.        5(-2x-5y=-12)

10x-4y=2


2.         -10x-25y=-60
                    +

            10x-4y=2

3.            -29y=-60+2

              -29y=-58

                    y=2

Answer:

26 is my guess

The option that represents the answers for 6, 8, 10, and 14 is the second option-   31, 41, 51, 71

From the question, we are to determine the option that represents the answer for pictures 6, 8, 10, and 14

In the given diagram,

The first picture requires 6 matches

The 2nd picture requires additional 5 matches

the 3rd  picture requires additional 5 matches

and so on

That is

1 → 6

2 → 6 + 5 = 11

3 → 11 + 5 = 16

4 → 16 + 5 = 21

5 → 21 + 5 = 26

6 → 26 + 5 = 31

7 → 31 + 5 = 36

8 → 36 + 5 = 41

9 → 41 + 5 = 46

10 → 46 + 5 = 51

11 → 51 + 5 = 56

12 → 56 + 5 = 61

13 → 61 + 5 = 66

14 → 66 + 5 = 71

Hence, the option that represents the answers for 6, 8, 10, and 14 is the second option-   31, 41, 51, 71

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Using the mid-point concept, the set of points that has midpoint B(-41,23) is: G(10,10) and H(-92,36).

The mid-point between two points is the halfway point between them, and is found using the mean of the coordinates.

In this problem, we have that:

Hence the coordinates of H are found as follows:

[tex]-41 = \frac{10 + x}{2}[/tex]

10 + x = -82.

x = -92.

[tex]23 = \frac{10 + y}{2}[/tex]

10 + y = 46.

y = 46.

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Answer:

(2x-3)x

Step-by-step explanation:

The question has grouping, for the answer you have to ungroup the problem to get your solution.

Answer:

f(-2)=36 , f(-1)=12 ,f(0)=2, f(1)=6,f(2)=24

Answer: 0,11

Step-by-step explanation:

to solve this absolute value equation, you can remove the absolute value symbols and set 2 separate equations:
6-x=5

6-x=-5

solve them and you get the answers

Answer:

Step-by-step explanation:

Answer:

Cos (30°) = √3/2

Step-by-step explanation:

that is the solution above

The value of the trigonometric equation cos ( 30 )° = √3/2

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

Let the triangle be represented as ΔABC

Now , the measure of ∠BAC = 30°

The adjacent side of the triangle AC = √3 units

The hypotenuse of the triangle AB = 2 units

So , from the trigonometric relations  

cos θ = adjacent / hypotenuse

On simplifying , we get

cos ( 30 )° = √3/2

Therefore , the measure of cos ( 30 )° = √3/2

Hence , the trigonometric relation is cos ( 30 )° = √3/2

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Answer:

Pesos: $20

Dolares: $1

Step-by-step explanation:

Si la moneda mas alta tiene un valor de $20 pesos, tendria que pagar el primer articulo con 35 monedas. $20 x 35 = $700

Tendria que pagar 25 monedas para el segundo articulo. $20 x 25= $500

Si fuera en dolares, tendria que pagar el primer articulo con 700 monedas y el segundo articulo con 500 monedas.

Espero que esto te haya ayudado :)

Answer:

(B). 86°

Step-by-step explanation:

Answer:-

DIY(do it yourself)

Answer:

P = [tex]\frac{Q-2}{3}[/tex]

Step-by-step explanation:

Q = 3P + 2 ( subtract 2 from both sides )

Q - 2 = 3P ( isolate P by dividing both sides by 3 )

[tex]\frac{Q-2}{3}[/tex] = P

Answer:

y = - 2x + 3

Step-by-step explanation:

the equation of a line in slope- intercept form is

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 ) = (0, 3 ) and (x₂, y₂ ) = (1, 1 )

m = [tex]\frac{1-3}{1-0}[/tex] = [tex]\frac{-2}{1}[/tex] = - 2

the line crosses the y- axis at (0, 3 ) ⇒ c = 3

y = - 2x + 3 ← equation of line

Answer:

48 cm is the answer

Step-by-step explanation:

Using Perimeter of rectangle = 2(l+b)

=> 2(4+2)

=> 2(6)

=> 12

As 4 rectangles multiply by 4

so, 12 × 4

= 48

Any questions you may ask.

Answer:

j fingertip was not an easy choice but

Hello,

   3x - 11 > 7x + 9

⇔ -11 - 9 > 7x - 3x

⇔ - 20 > 4x

⇔ -20/4 > 4x/4

⇔ - 5 > x

⇔ x < - 5

The solution to the inequality 3x - 11 > 7x + 9 is x ∈ (-∞, 5) the graph is shown in the picture.

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

It is given that:

The inequality is:

3x - 11 > 7x + 9

After simplification:

3x - 7x > 9 + 11

-4x > 20

-x > 5

Multiplying by a negative sign on both sides:

x < -5

The number line can be defined as the representation of the numbers on a straight line that goes infinitely on both sides.

After plotting on the number line:

x ∈ (-∞, -5)

Thus, the solution to the inequality 3x - 11 > 7x + 9 is x ∈ (-∞, 5) the graph is shown in the picture.

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The rectangle's area decreased by 19%.

Length = L

Breadth = B

Original area = L x B

New area = A = L x (1 + 25%) x B x (1 - 25%)

A = L x B x 0.25 x 0.75 = L x B x 1.05

Therefore the area of the rectangle has decreased by 19%.

To find the location of a rectangle, multiply its width by means of its height. If we understand the sides of the rectangle which are different lengths, then we have each the height and the width.

The perimeter P of a rectangle is given through the system, P=2l+2w, wherein l is the period and w is the width of the rectangle. The area A of a rectangle is given by means of the method, A=lw, in which l is the duration and w is the width.

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Answer:

12

Step-by-step explanation:

12 + 12 + 12 = 36

let each number = X

3x = 36

x = 36/3

x = 12

Answer:

[tex]y=\frac{-2}{3} x-15[/tex]

Step-by-step explanation:

First draw a line. I will put it in an attachment so you can see the line.

Now choose to points on the line to use the slope formula.

(0,15) and (3,13).

Slope formula: [tex]\frac{y2-y1}{x2-x1}[/tex]

Plug in the information needed using the two points chosen.

[tex]\frac{13-15}{3-0}=\frac{-2}{3}[/tex]

The slope is [tex]\frac{-2}{3}[/tex].

Now use point-slope formula.

Point-slope formula: y-y1=m(x-x1)

y-15=[tex]\frac{-2}{3}[/tex](x-0)

y-15=[tex]\frac{-2}{3}[/tex]x-0

Subtract 15 from both sides.

y=[tex]\frac{-2}{3}[/tex]x-15

Hope this helps!

If not, I am sorry.

Answer:

x>-42

Step-by-step explanation:

I dont have time to explain de but thats the answer

Hello!

The 2 activities which represent data collecting are :

The two activities in the choices represents data collecting are:

A. Graphing the heights of baseball players

C. Asking people what their favorite food is.

Because, in collecting data we will asking or not asking but measuring the data th needed to represents.

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The pairs of rectangles are similar polygons; Option C and Option D.

A polygon is a closed figure made up of three or more line segments connected end to end.

Similar polygon beings their sides have equivalent ratios to each other.

Two polygons whose corresponding angles are congruent and the lengths of the corresponding sides are proportional.

C. 1.89/2.1 = 81/0.9 = 90

D. 120 / 24 = 60 / 12 = 5

Hence, Option C and Option D are similar polygons only.

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Hello !

Answer:

Step-by-step explanation:

Pythagorean Theorem : a² + b² = c² ⇔ b² = c² - a²

Here, we have a = 4 and c = 6 so :

    b² = 6² - 4²

⇔ b² = 36 - 16

⇔b² = 20

⇔ b = √20  (and not b= -√20 because b ≥ 0)

Answer:

b = [tex]\sqrt{20}[/tex]

Step-by-step explanation:

Using the Pythagorean Theorem:

6² = 4² + b²

⇒ b² = 6² - 4²

⇒ b = [tex]\sqrt{6^2 - 4^2}[/tex]

⇒ b = [tex]\sqrt{36 - 16}[/tex]

⇒ b = [tex]\sqrt{20}[/tex]

An equivalent expression with the rational denominator is,[tex](-8x+5)^ {\frac{-1}{2}}[/tex].Option A is correct from the drop-down menu.

Fraction simplification is a method of fraction reduction that entails making a fraction as simple as possible.

This is accomplished by dividing the numerator and denominator by the biggest integer that divides both integers exactly.

A fraction is consist of the form p/q

Where,

P is the numerator and q is denominator

An equivalent expression with the rational denominator is,[tex](-8x+5)^ {\frac{-1}{2}}[/tex].

Hence option A is correct.

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