Can someone solve these two equations for me ?

Let x be a variable, and f(x) a function of that variable.

f(2) is a number ; it's the value of the function f(x) when x = 2, assuming that value exists.

f(x) = 2 is a statement ; it says there is some value of x for which the function returns a value of 2. Because it's a statement, it can be true or false.

Here's an example:

Define f(x) = sin(x). Then f(2) = sin(2) ≈ 0.909297.

If x is a real number, then the statement sin(x) = 2 is false, because -1 ≤ sin(x) ≤ 1 for all real x.

If we replace 2 with 1, on the other hand, we get

f(1) = sin(1) ≈ 0.84147

and

sin(x) = 1  ==>  x = π/2 + 2nπ

where n is any integer. (So we're talking about numbers like π/2, -3π/2, 5π/2, -7π/2, and so on.) We're saying here that any real number x of the above form satisfies the equation and makes the statement true.

Answer:

{-5, -4, 0, 1, 2}

Step-by-step explanation:

The domain is the inputs or the x values

{-5, -4, 0, 1, 2}

Answer:

See below.

Step-by-step explanation:

The domain of a relation is all of the x-coordinates.

So we have the relation:

{(-5,4), (-4,2), (0,2), (1,3), (2,4)}

This means that the domain will be the following values:

{(-5,4), (-4,2), (0,2), (1,3), (2,4)}

So, our domain is:

[tex]\{-5, -4, 0, 1, 2\}[/tex]

Note that the domain is in ascending order.

Answer:

x>0 and y<0

Step-by-step explanation:

Quadrant IV is the bottom right corner.

X would have to be positive and Y would have to be negative.

Quadrants are simply the axes of a 2D coordinate that divides a plane into four segments.

The true statement is that: (a) x > 0 and y < 0

First, we analyze each quadrant

Quadrant 1

Quadrant 2

Quadrant 3

Quadrant 4

By comparing the above to the list of given options,

The true statement about quadrant IV is (a) x > 0 and y < 0

See attachment for illustration of quadrants

Read more about quadrants at:

https://brainly.com/question/14450464

Answer:

83 cm

Step-by-step explanation:

let's make an equation for this situation. The plant starts at 8 cm and grows 3 cm every week. If x represents time in weeks and y represents height in cm, then:

y = 8+3x

filling in 25 for x, we find that:

y = 8+75

y = 83 cm

Answer:83

Step-by-step explanation:

25 x 3 = 75

75 + 8 = 83

Answer:

40 π ft or 125.6ft

Step-by-step explanation:

If the sprinkler can spray water 20 ft, that means the radius is 20 ft and to get the circumference we do 2 r π

or 2r*3.14

The answer is either 40 π ft

or 125.6ft

Answer:

Jeremy has 12 ways of painting his room.

He has 4 different wall colors and 3 different trim colors, so, if we want to know how many ways does he have to paint his room, we only need to multiply:

4 * 3 = 12

That's why he has 12 ways of painting his room. That's because for each of the 4 different wall colors, there are 3 trim colors he can use.

Answer: 12 different ways

Step-by-step explanation:

The question is asking for a combination of a wall color and a trim color because his room required one wall color and one trim color.

In this case, combination will be the number of first kind multiplies with the second kind. This is similar to sketching a tree diagram but instead, we will be using numerical method which will be quicker.

If you are still confused, I will provide some examples.

This also applies to your question. You have 4 different wall colors and 3 different trim colors.

4×3=12

You have 12 different ways to paint the room

Hope this helps!! :)

Please let me know if you have any question

Step-by-step explanation:

I guess you mean 1cm:100000cm

Hence, for every 1 cm on the map 100000 cm is covered on the land.

Take the distance on the map for 20 km be x

Hence, 1:100000:: x: 2000000 cm

In order to solve this ratio, you must multiply the extremes and the moderates (nears).

Hence, 2000000×1=100000×x [1km=100000 cm]

Hence, 2000000= 100000x

Hence, x=2000000/100000 cm

Hence, x=20 cm

Hence, 20 cm on the map

Answer:

45t = distance

Step-by-step explanation:

Distance = speed * time

Distance= 45 mph * t hours = 45t

Answer:

7560.

Step-by-step explanation:

There are 9 letters after the M consisting of  3 O's, 2 H's, 2 H's and 2 E's.

So the number of ways is   9! / (3!*2!*2!*2!)

= 362880 / (6*2*2*2)

= 362880 / 48

= 7560.

The number of ways the word MOSHOESHOE can be rearranged, if the letter M must always begin a word is 75,600 ways

Given:

MOSHOESHOE

n = total number of letters = 10

a = number of times O appears = 3

b = number of times S appears = 2

c = number of times E appears = 2

d = number of times H appears = 2

number of ways the word can be rearranged if M must always begin a word

= n! / (a! b! c! d!)

= 10! / (3!, 2!, 2!, 2!)

= (10 × 9 × 8 × 7 × 6 × 5 × 4× 3 × 2 × 1) / (3 × 2 × 1, 2 × 1, 2 × 1, 2 × 1)

= 3,628,800 / (6 × 2 × 2 × 2)

= 3,628,800 / 48

= 75,600 ways

Therefore, the number of ways the word can be rearranged if M must always begin a word is 75,600 ways

Read more:

https://brainly.com/question/14370457

Step-by-step explanation:

a =

a = 3

3,6 = and c =

olů

what is this please write this clearly

Answer:

y. 100

------ = -------

600. 120

120y= 60000

y = 60000÷ 120

= $500

Answer:

m = -8/3

Step-by-step explanation:

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step 1: Find 2 coordinates

(-70, 70)

(-10, -90)

Step 2: Find slope m

m = (-90 - 70)/(-10 + 70)

m = -160/60

m = -8/3

Answer:

x=15

Step-by-step explanation:

These are alternate exterior angles and alternate exterior angles are equal when the lines are parallel

6x+8 = 7x-7

Subtract 6x from each side

6x+8-6x = 7x-7-6x

8 = x-7

Add 7 to each side

8+7 =x

15=x

[tex]\huge\underline{\underline{\mathfrak{\red{A}\green{n}\pink{s}\orange{w}\blue{e}{r}}}}[/tex]

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

Answer:

Supongo que en realidad dice

"... Para llegar de la planta baja hasta el piso 9..."

Ok, el elevador comienza en el piso 0, y llega hasta el piso 9 después de 5 movimientos.

De estos 5 movimientos, 3 suben (los podemos definir como positivos)

y 2 bajan (los escribimos como negativos).

Entonces, comienzo en 0.

0 + A + B + C - D - E = 9.

ahí dice que:

"desde el piso 0, tengo 3 subidas y dos bajadas de tal forma que el resultado final es el piso 9"

Una expresión algebraica matemática consta de variables y constantes junto con operaciones algebraicas. Al resolver problemas de palabras algebraicas, es necesario que los problemas se traduzcan con precisión en ecuaciones y se resuelvan correctamente.

Dado que:

Para configurar una operación que indique el número de pisos que recorrió el ascensor con cada movimiento;

Vamos a considerar

∴

Así, la puesta a punto de la operación que indica el número de pisos que recorrió el ascensor con cada movimiento se puede deducir de la diferencia entre el movimiento de subida y bajada será igual a 9.

Por lo tanto, podemos concluir que la configuración de la operación es:

3a - 2b = 9

Obtenga más información sobre las expresiones algebraicas aquí:

https://brainly.com/question/11227332?referrer=searchResults

Answer:

Answer is A the highest number we can get is 12 so its potion A

The both highest numbers are 6 and, 6 6 +6 is 12 so its 0

Answer:

Its a quadratic eqn with complex roots

Answer:

The answer is A on edunuity.

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

The slope formula is [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex] so when you plug in all of the numbers to where they are supposed to be you would get [tex]\frac{1-3}{1-3}[/tex] which is [tex]\frac{-2}{-2}[/tex] which can be simplified to [tex]\frac{1}{1}[/tex] which is just 1 and that would be our answer

Answer:

The correct answer is rational.

Step-by-step explanation:

The diameter of the tree belongs to the subset of rational numbers.

Natural numbers are the numbers 1, 2, 3 4, etc. Since 18.5 has a fractional/decimal component, it is not considered a natural number.  Whole numbers include all of the natural numbers, as well as 0; therefore, 18.5 is not a whole number either.

Integers include all whole numbers as well as negative numbers, but the integer category still does not encompass numbers with a decimal component.  For this reason, 18.5 is not an integer either.

Therefore, the only subset of numbers that 18.5 can fall under is rational numbers.  A rational number is a number that can be represented as a fraction.  18.5 can be represented as 37/2 and is thus a rational number.

You can also refer to the infographic given in the question for further clarity on which subsets of numbers are more inclusive than others.

Hope this helps!

Answer:

y = 5x - 800

Step-by-step explanation:

If x represents the number of pages typed, 5x will represent how much money he earns from typing them, since he gets $5 per page.

Then, 800 needs to be subtracted from this because he spent $800 on the computer.

So, the equation will be y = 5x - 800 to represent his profit.

Answer:

PT = 24

Step-by-step explanation:

PT = TQ

3x + 6 = 5x - 6

12 = 2x

x = 6

PT = 3(6) + 6

PT = 18 + 6

PT = 24

Answer:

24

Step-by-step explanation:

From the pic,PT=TQ

therefore,

3x+6=5x-6

5x-3x=6+6

2x=12

therefore, x=12/2

                  =6

therefore, PT=3×6+6

                      =24

Answer:

b= -1

Step-by-step explanation:

48         =.    56 +8b

-56             -56

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

-8       =   8b

Divide 8 on both sides

-1=b

• Answer:

b = - 1

• Step-by-step explanation:

48 = 56 + 8b

48 - 56 = 8b

8b = - 8

b = - 8 ÷ 8

b = - 1

Answer:

12.3

Step-by-step explanation:

Round it where you have 3 numbers that are not 0.

12.3456

round to the hundredths place

12.34 (round to 4)

12.3 (3 sigfigs)

Answer:

12.4

Step-by-step explanation:

12.3456

first you would round the 5 to a 6, the round the 4 to a 5, because the six is greater than five, than you would change the 3 to a 4, because the four that was changed to a five now is big enough to change the number.

Answer:

3a-1

Step-by-step explanation:

Substitute

3(a+2)-7

Distribute

3a+6-7

Simplify

3a-1

Answer:

Hope it can help you and please mark me as a brainlist...

Answer:

Domain: [tex]\{x|x\in\mathbb{R}\}[/tex]

Range: [tex]\{y|y\in\mathbb{R},y\leq -2\}[/tex]

Step-by-step explanation:

The domain is the span of x-values the graph covers.

The range is the span of y-values the graph covers.

The given graph is a quadratic. We can see that the x-values will extend infinitely in both directions.

Thus, the domain is all real numbers.

In set notation, this is:

[tex]\{x|x\in\mathbb{R}\}[/tex]

From the graph, we can see that the maximum value is y=-2. The graph won't ever go above this.

So, the range is all real numbers less than or equal to -2.

In interval notation, this is:

[tex]\{y|y\in\mathbb{R},y\leq -2\}[/tex]

And we are done :)

Answer:

[tex]cos\theta = -\frac{12}{37}[/tex]

Step-by-step explanation:

Given

[tex]tan\theta = \frac{35}{12}[/tex]

Quadrant: 3rd

Required

Determine [tex]cos\theta[/tex]

This question will be solved using the Pythagoras theorem

[tex]Hyp^2 = Adj^2 + Opp^2[/tex]

The tangent of an angle is calculated as thus;

[tex]tan\theta = \frac{Opp}{Adj}[/tex]

Comparing

[tex]tan\theta = \frac{35}{12}[/tex] to [tex]tan\theta = \frac{Opp}{Adj}[/tex]

We can conclude that

[tex]Opp = 35[/tex]    [tex]Adj = 12[/tex]

Substitute these values in the Pythagoras formula

[tex]Hyp^2 = 35^2 + 12^2[/tex]

[tex]Hyp^2 = 1225 + 144[/tex]

[tex]Hyp^2 = 1369[/tex]

Square root of both sides

[tex]Hyp = \sqrt{1369}[/tex]

[tex]Hyp = 37[/tex]

SInce [tex]\theta[/tex] is in the 3rd quadrant, then

[tex]cos\theta = -\frac{Adj}{Hyp}[/tex]

Where [tex]Adj = 12[/tex] and [tex]Hyp = 37[/tex]

[tex]cos\theta = -\frac{12}{37}[/tex]

Answer: please find the answer in the explanation

Step-by-step explanation:

1.) All integers are rational numbers. 

The statement is false because 1/2 is a rational number but not an integer

2.) Which of the following must describe an irrational number?

- A number with a repeating or terminating decimal expansion.

3.) Which axiom is used to prove that the product of two rational numbers is rational?

Integers are closed under division

4.) Without calculating, how do you know the product 2/21 x 3/31 is rational?

When multiplying fractions, the product of two fractions is rational so long as both fractions are less than 1. 

5.) What rational number, when multiplied by an irrational number, has a product that is a rational number? 1/10

Answer:

fraction

Step-by-step explanation:

correct on edge

Answer:

-36

Step-by-step explanation:

12 * 3 = 36

When you multiply by a negative number, the number becomes a negative therefore, -12*3 = -36

Answer:

-36

Step-by-step explanation:

When multiplying a negative and a positive the answer is always going to be negative.  So 12x3=36 and the 12 is negative and the 3 is positive, so the answer is -36.

Answer:

D.

Step-by-step explanation:

The domain remains the same [a, b) and the range  is [mc + n,md + n).

Answer:

A

Step-by-step explanation:

So there are 4 chocolate chips and 12 oatmeal. In total, there are 16 cookies.

The probability of selecting a chocolate chip when you reach in for the first time will be 4/16 or 1/4.

The second time, you reach in, however, there would be one less chocolate chip cookie because you would've pulled one out previously. Thus, the probability is now 3/15 or 1/5.

So, the probability of pulling a chocolate chip cookie consecutively is:

[tex]\frac{1}{4}\cdot\frac{1}{5}=\frac{1}{20}[/tex]

Our answer is A :)