What are the domain and range of the function f(x)=-x+3 - 2?

Answer:

so the answer is 3/2x

Step-by-step explanation:

=[tex]\frac{13}{2x}[/tex]-[tex]\frac{5}{x}[/tex]

taking LCM

=[tex]\frac{13}{2x}[/tex]-[tex]\frac{5*2}{x*2}[/tex]

=[tex]\frac{13}{2x}[/tex]-[tex]\frac{10}{2x}[/tex]

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

i hope it will help you

Fractions are written as a ratio of two or more integers.

Given the expression

13/2x - 5/x

Find the LCM

From the given fraction, the LCM is 2x

= 13/2x - 5/x

= 13-2(5)/2x

= 13-10/2x

= 3/2x

Hence the difference in the fraction given in question is 3/2x

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Answer:

see explanation

Step-by-step explanation:

Given M is directly proportional to r³ then the equation relating them is

M = kr³ ← k is the constant of proportion

To find k use the condition r = 4 when M = 160, thus

160 = k × 4³ = 64k ( divide both sides by 64 )

2.5 = k

M = 2.5r³ ← equation of proportion

(a)

when r = 2, then

M = 2.5 × 2³ = 2.5 × 8 = 20

(b)

when M = 540 , then

540 = 2.5r³ ( divide both sides by 2.5 )

216 = r³ ( take the cube root of both sides )

[tex]\sqrt[3]{216}[/tex] = r , thus

r = 6

Answer:

There lots of possible ways: here are some answers

219 + 348 = 567

218 + 349 = 567

129 + 357 = 486

127 + 359 = 486

271 + 593 =864

128 + 367 = 495

281 + 673 = 954

127 + 368 = 495

271 + 683 = 954

there are  more answers....

Hope this helps

Answer:D  a circle   because a sphere is a circular figure

Step-by-step explanation:

Answer:

i think its D

Step-by-step explanation:

Answer:

208.06

Step-by-step explanation:

208.06 is already in standard notation. If you were talking about scientific notation, it would be 2.0806×10².

Answer: a

Step-by-step explanation:

The lineab bisects bi equally

Answer:

D. Theoretical

Step-by-step explanation:

The probability is based on the number of marbles in the bag.  It is the theoretical probability.  It is the likelihood that a yellow marble will be picked

Answer:

inside the circle

Step-by-step explanation:

The radius is sqrt(38)

The distance from the center to the point is

d = sqrt( ( y2-y1) ^2 + ( x2 -x1) ^2)

   = sqrt( ( 1 - 0)^2 + ( 6 - 0 ) ^2)

   = sqrt( (1^2 + 6^2)

   = sqrt( 1+36)

  = sqrt(37)

This is less than the radius so the point is inside the circle

Answer: its number A

Step-by-step explanation:

Answer:

1/3 kg.

Step-by-step explanation:

The ratio of the amount of carrots the elephant eats to the amount of carrots the rabbit eats in the same length of time is 365:1.

So if the total they both eat is 122 kg in one day, the rabbit eats 122 * 1/ 366

= 1/3 of a kg,

Answer:

28.44$

Step-by-step explanation:

The original price of a shirt is A.

This shirt is on sale for 25% => the price of that shirt after being sale:

P1 = A - A x 25% = A - A x (25/100) = A - A x (1/4) = A x (3/4)

This shirt is discounted one more time for 25% => the price of that shirt after being discounted second time.

P2 = P1 - P1 x 25% = P1 - P1 x (25/100) = P1 - P1 x (1/4) = P1 x (3/4) = A x (3/4)^2

P2 is given to be equal to 16$, then there is an expression:

P2 = 16

or

A x (3/4)^2 = 16

=> A x (9/16) = 16

=> A = 16 x (16/9) = 28.44$

Hope this helps!

Answer:section 1 you choose c)rhombus

And the last one is X

Step-by-step explanation:sorry i can't explain but we literally got the same thing to do and i passed but what i tell you is correct

Answer:

1) It is a qiadratic binomial which has 3 as coefficient on the quadratic term and 2 as the coefficient on the linear term

2) It is a quadratic trinomial which has 2 as coefficient in the quadratic term , -5 as the coefficient in the linear term & 3 as the coefficient of the constant term

3) It is a linear polynomial with no constant term and is a monomial ....it has 6 as coefficient in the linear term

Answer:

{-2,3,4,2}

Domain is basically the x values

Answer:

domain = {-2,3,4,2}

Step-by-step explanation:

domain is related to x coordinate of the point

Answer:

The value of x is 6.

Step-by-step explanation:

You have to use Pythagorean Theorem, a² + b² = c². Make (4x+1)cm as the hypotenuse because any values substitute into x will give the highest length among these 3 expressions of length :

[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]

Let a = side = (x+1)cm,

Let b = side = 4x cm,

Let c = hypotenuse = (4x+1)cm,

[tex] {(x + 1)}^{2} + {(4x)}^{2} = {(4x + 1)}^{2} [/tex]

[tex] {x}^{2} + 2x + 1 + 16 {x}^{2} = 16 {x}^{2} + 8x + 1[/tex]

Then you have to simplify :

[tex]17 {x}^{2} + 2x + 1 = 16 {x}^{2} + 8x + 1[/tex]

[tex]17{x}^{2} + 2x + 1 - 16 {x}^{2} - 8x - 1 = 0[/tex]

[tex] {x}^{2} - 6x = 0[/tex]

Next you have to solve it :

[tex] {x}^{2} - 6x = 0[/tex]

[tex]x(x - 6) = 0[/tex]

[tex]x = 0 \: (rejected)[/tex]

[tex]x - 6 = 0[/tex]

[tex]x = 6cm[/tex]

The value of x in the right triangle is 6 cm.

Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

We have,

Right triangle:

The three sides are:

x + 1, 4x and 4x + 1

Applying the Pythagorean theorem.

(x + 1)² + (4x)² = (4x + 1)²

x² + 2x + 1 + 16x² = 16x² + 8x + 1

17x² + 2x + 1 = 16x² + 8x + 1

17x² - 16x² = 8x - 2x

x² = 6x

x gets canceled.

x = 6

Thus,

The value of x is 6.

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Answer: 1050 is the answer? Do u need a calculator

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Split the shape into 2 figures.

I would split it so that there is a square and a larger rectangle.

Find the dimensions.

Square = 1 x 1

Rectangle= 4 x 3

Add the areas!

1+12

13!

Answer:

A^figure = 13ft

Step-by-step explanation:

A^figure = A^square + A^rectangle

A^figure = bh + bh

A^figure = 1 x 1 + 4 x 3

A^figure = 1 + 12

A^figure = 13ft

Answer:

5600 dollars

Step-by-step explanation:

The first thing we must do is calculate the area of the rectangle since the value is given per unit area.

They give it per square centimeter, therefore we must pass the measurements from meters to centimeters, knowing that 1 meter is 100 centimeters:

4m * 100cm / 1m = 400cm

5m * 100cm / 1m = 500cm

Now the area would be:

A = 400 * 500 = 20000

20000 cm ^ 2 would be the area of the rectangular wall, we calculate the value like this:

20000 * 0.28 = 5600

In other words, it has a value of 5600 dollars.

Answer:

=15x−3

Step-by-step explanation:

Let's simplify step-by-step.

4x−−19x−13x−(−5x+3)

=4x+19x+−13x+5x+−3

Combine Like Terms:

=4x+19x+−13x+5x+−3

=(4x+19x+−13x+5x)+(−3)

Answer: =15x+−3

Hope this helps.

4x - {-19x + (-13x - (-5x + 3)]}

Answer:

=15x−3

Step-by-step explanation:

Let's simplify step-by-step.

4x−−19x−13x−(−5x+3)

=4x+19x+−13x+5x+−3

Combine Like Terms:

=4x+19x+−13x+5x+−3

=(4x+19x+−13x+5x)+(−3)

Answer: =15x+−3

Hope it's helpful please...?

Answer:

Perimeter of Isosceles Triangle = 16 units

Step-by-step explanation:

Area of rectangle is given by the formula;

Area = 1/2 × base × height

From the diagram, base = 6x - 6 and height = 6x - 8

Thus,Area = 1/2 × (6x - 6) × (6x - 8)

Area = (3x - 3)(6x - 8) = 18x² - 42x + 24

Secondly, area of rectangle is given by;

Area = length x breadth

So, area of rectangle in question = (6x - 9)(3x - 2) = 18x² - 39x + 18

We are told both the area of the triangle and the rectangle are the same, so let's equate both areas;

18x² - 42x + 24 = 18x² - 39x + 18

18x² will cancel out and rearranging, we have;

24 - 18 = 42x - 39x

6 = 3x

x = 6/3

x = 2

Plugging 2 for x for the height and base of the triangle, we have;

base = 6(2) - 6 and height = 6(2) - 8

Base = 6 and height = 4

So,let's find the slant height of the isosceles triangle.

Dividing the base by 2,we have; 6/2 = 3

So,using Pythagoras theorem, let the slant height be h, so we have;

h² = 3² + 4²

h² = 9 + 16

h² = 25

h = √25

h = 5

2 slant sides of isosceles triangle are the same. So perimeter = 5 + 5 + 6 = 16 units

Answer:

Hope this is correct

Answer:

  see below

Step-by-step explanation:

Any process that involves dilation or scaling will NOT result in a congruent figure. Only the rigid transformations of translation, reflection, or rotation can be used to obtain a congruent figure.

The choice shown below is the one you seek.

Answer:

B, E and F.

Step-by-step explanation:

The transformation f(x) ------> f(x + a) moves f(x) a units to the left.

So when there is an increase in the number added to x in the parentheses the graph moves to the left.

So B is one because  of the (x  - 1)2 ---> (x + 1)2

The others are E and F.

The functions which has a graph in which the vertex and axis of symmetry are left of the vertex and axis of symmetry of the provided graph of f(x) are,

[tex]g(x) = -(x + 1)^2 - 2\\g(x) = -(x + 2)^2 + 2\\g(x) = 2(x + 1)^2 + 2[/tex]

Transformation of a function is shifting the function from its original place in the graph.

Types of transformation-

The function of the graph is,

[tex]f(x) = (x -1)^2 + 1[/tex]

The function to be left of the vertex of the above function, b units must be added in the parent function such that,

[tex]f(x+b)[/tex].

The option B, E and F looks like this function.

Thus, the functions which has a graph in which the vertex and axis of symmetry are left of the vertex and axis of symmetry of the provided graph of f(x) are,

[tex]g(x) = -(x + 1)^2 - 2\\g(x) = -(x + 2)^2 + 2\\g(x) = 2(x + 1)^2 + 2[/tex]

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The equation is 0 + 59 = 17 which can help Aly calculate the number of more toy cars than trucks. which is the correct answer would be an option (C).

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

We have been given that Aly has 59 toy cars and 17 toy trucks.

To determine the equation can help Aly calculate number of more toy cars than trucks she has

We have to subtract 17 from both sides and add 0

0 + 59 = 17

0 + 59 - 17 = 42

Therefore, the equation is 0 + 59 = 17 which can help Aly calculate the number of more toy cars than trucks.

Hence, the correct answer would be option (C).

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Step-by-step explanation:

2x +34 =64

2x=30

X=30/2

X=15

Answer:

[tex] \boxed{x = 15} [/tex]

Step-by-step explanation:

[tex] = > 2x + 34 = 64 \\ \\ = > 2x = 64 - 34 \\ \\ = > 2x = 30 \\ \\ = > x = \frac{30}{2} \\ \\ = > x = 15[/tex]

Answer:

3

Step-by-step explanation:

The degree of the given POLYNOMIAL is 3.

Because highest power is 3.

Step-by-step explanation:

3

highest power of the coefficient is 3