Escribe cada expresión como un numero racional.

A. El denominador es el triple del numerador disminuido en 2 y el numerador es el menor múltiplo de 5 diferente de 0.

B. El numerador es cuatro veces menor que el denominador, que corresponde al resultado de 8 · 2.

ayudenme pliss

Answer:

(a) Domain: All real numbers except -2

(b) [tex]f(x) > -4[/tex]

Step-by-step explanation:

Given

See attachment for f(x)

Solving (a): The domain

From the attached image, we have:

[tex]f(x) = -x - 2, x <-2[/tex]

[tex]f(x) = -x^2, -2 < x < 0[/tex]

[tex]f(x) = x, x \ge 0[/tex]

To get the domain, we consider the inequalities attached to each of the piece-wise function

[tex]x < -2[/tex]

This implies that the values of x is less than -2 i.e.

[tex]x = \{.......,-4,-3\}[/tex]

[tex]-2< x<0[/tex]

This implies that x is greater than -2 and less than 0 i.e.

[tex]x = \{-1\}[/tex]

[tex]x \ge 0[/tex]

This implies that x is greater than or equal to 0 i.e.

[tex]x =\{0,1,2,3,....\}[/tex]

If these values of x are merged, we have:

[tex]x = \{.......,-4,-3,-1,0,1,2,3.....\}[/tex]

[tex]x = \{-\infty,..,-4,-3,-1,0,1,2,3,...,\infty\}[/tex]

-2 is not included in the above values of x.

Solving (b): The range

From the attached image, we have:

[tex]f(x) = -x - 2, x <-2[/tex]

[tex]f(x) = -x^2, -2 < x < 0[/tex]

[tex]f(x) = x, x \ge 0[/tex]

Substitute the greatest value of x in each piece-wise function.

[tex]f(x) = -x - 2, x <-2[/tex]

[tex]x=-2[/tex]

So;

[tex]f(-2) = -2-2 = -4[/tex]

[tex]f(x) = -x^2, -2 < x < 0[/tex]

[tex]x = -2[/tex]

So:

[tex]f(-2) = -2^2 = -4[/tex]

[tex]f(x) = x, x \ge 0[/tex]

[tex]x = \infty[/tex]

So;

[tex]f(\infty) = \infty[/tex]

We have:

[tex]f(-2) =-4[/tex]

[tex]f(-2) =-4[/tex]

[tex]f(\infty) = \infty[/tex]

The smallest value of f(x) is -4

Hence, the range is:

[tex]f(x) > -4[/tex]

Answer:

Domain is

B)

(-infinity, -2) U (-2, infinity)

Range is (-4, infinity)

Step-by-step explanation:

go it correct

edge2022

Answer:

d

Step-by-step explanation:

Trust

Answer:

(3x-7) (x+1)

Step-by-step explanation:

3x^2 - 4x - 7

First split the middle term

3x^2 + 3x - 7x - 7

Make into two separate expressions

(3x^2 + 3x) (-7x-7)

Take out what you can

3x (x+1) -7 (x+1)

Now you have your answers

(3x-7) (x+1)

4 ounces x $8 per ounce = $32

16 ounces x $3 per ounce = $48

4 ounces + 16 ounces = 20 total ounces

$32 + $48 = $80 total cost

$80 / 20 ounces = $4 per ounce cost

Answer: no solution

Step-by-step explanation:

Answer:

The manager purchased 28 soccer balls.

Step-by-step explanation:

Since the information states that the athletic department manager purchased a total of 52 balls, you can say that the result of adding up the number of footballs and soccer balls purchased is 52, which can be expressed as:

x+y=52, where:

x is the number of footballs purchased

y is the number of soccer balls purchased

Also, as the statement indicates the price of each type of ball and the total cost, you can say that adding up the results of multiplying the price of each ball for the quantity purchased is equal to the total amount spent, which is:

23.53x+19.86y=1,120.80

Now, you have 2 equations:

x+y=52 (1)

23.53x+19.86y=1,120.80 (2)

To be able to find the value of x and y, first you can isolate x in (1):

x=52-y (3)

Then, you can replace (3) in (2) and solve for y:

23.53(52-y)+19.86y=1,120.80

1,223.56-23.53y+19.86y=1,120.80

1,223.56-1,120.80=23.53y-19.86y

102.76=3.67y

y=102.76/3.67

y=28

Finally, you can replace the value of y in (3) to find the value of x:

x=52-28

y=24

According to this, the answer is that the manager purchased 28 soccer balls.

Answer:

No, it is not a solution

Step-by-step explanation:

Given the inequality y ≥ 7x − 2 and y < 4x + 7, they can be combined and written as;

7x-2≤y<4x+7

Equate both values of y, the point of intersection occurs when;

7x-2 = 4x+ 7

7x - 4x = 7 + 2

3x = 9

x = 9/3

x = 3

Substitute x = 3 into y = 7x - 2

y = 7(3) - 2

y = 21 - 2

y = 19

Hence the possible solution will be at (3, 19). Hence the solution (-3, -10) is incorrect

Answer:

yes

Step-by-step explanation:

yes

Answer:

It's 110°

Step-by-step explanation:

180 +70 = 250.

360-250=110

Answer:

A

Step-by-step explanation:

Checking something is a way to see if your answer is reasonable.

Your answer is 0.19.

I hope this helps you get a good grade on your test!!

Answer:

16,767

Step-by-step explanation:

Geometric sequence formula: an = ar^n-1

Now, we just plug in the values.

an = 23(3)^7-1

an = 23(3)^6

an = 23(729)

an = 16,767

Answer:

The angle is 90 degrees

Step-by-step explanation:

Required

Angle subtended by the diameter

The theorem to solve this is:

The angle subtended by an arc is twice the angle it subtends.

The diameter forms [tex]180^\circ[/tex] on the circle, so we have:

[tex]2*\theta = 180^\circ[/tex]

Where [tex]\theta[/tex] is the angle subtended

Solve for [tex]\thets[/tex][tex]\theta[/tex]

[tex]\theta = \frac{180^\circ}{2}[/tex]

[tex]\theta = 90^\circ[/tex]

Answer:

d = 364 feet

Step-by-step explanation:

Given that,

The pressure at depth d is given by :

[tex]P=13+\dfrac{8}{13}d[/tex]

Pressure under water is found to be 237 pounds per square foot

Now, put P = 237 to find d. So,

[tex]237=13+\dfrac{8}{13}d\\\\237-13=13+\dfrac{8}{13}d-13\\\\224=\dfrac{8}{13}d\\\\d=\dfrac{224\times 13}{8}\\\\d=364\ ft[/tex]

So, the depth is equal to 364 feet.

Answer:

equilateral

Step-by-step explanation:

all angles are the same size. Has to be equilateral

Answer:

x=60

Step-by-step explanation:

everytime you have a right triangle it equals 180 degrees so you just have to add the two angles then subtract 180 from it and it you need Y just do 60-180=120 because it is an obtuse equals 180 as well.

A.) we know,

=》

[tex] \dfrac{5}{8} \: \: of \: total \: students \: = boys[/tex]

=》

[tex] \dfrac{5}{8} \times 800 [/tex]

=》

[tex]5 \times 100[/tex]

=》

[tex]500 \: \: boys[/tex]

now,

number of girls :

=》

[tex]800 - 500[/tex]

=》

[tex]300 \: girls[/tex]

Answer:

There are 500 boys and 800 girls

I hope it helps

have a nice day

좋은 하루 되세요

# 캡틴 파워

#Captainpower

Answer:

3418.05

Step-by-step explanation:

Answer:

x = 4.3588989435406

I hope it's helps you

Answer:

73.5

Step-by-step explanation:

Part/whole=percent/100

?/500=2.1%/100

500 divided by 100 is 5, so 2.1% times 5 is 10.5, which is the amount of interest made per year.

So, 10.5 times 7 is 73.5

Answer:

6

Step-by-step explanation:

3.5x - 4.5

3.5 (3) - 4.5

10.5 - 4.5

6

Answer:

3/5

Step-by-step explanation:

The numerator, 24, and the denominator, 40, both have a GCF(greatest common factor) of 8. By dividing both the numerator, 24, and the denominator, 40, by 8 you would be simplify the fraction. In which you'd get a numerator of 3 and a denominator of 5, which is 3/5 and the simplest form of 24/40.

The simplified form of 24/40 is 3/5.

To simplify the fraction 24/40, we need to find the greatest common factor (GCF) of the numerator (24) and the denominator (40) and then divide both the numerator and denominator by that GCF.

The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, and 24.

The factors of 40 are: 1, 2, 4, 5, 8, 10, 20, and 40.

Looking at the lists of factors, we can see that the greatest common factor of 24 and 40 is 8.

To simplify the fraction, we divide both the numerator and denominator by 8:

24 ÷ 8 = 3

40 ÷ 8 = 5

Therefore, the simplified form of 24/40 is 3/5.

The simplified fraction represents the same proportion as the original fraction but is written in its simplest and most reduced form. In this case, 24/40 can be simplified to 3/5 by dividing both the numerator and denominator by their greatest common factor, which is 8.

To learn more about fractions;

https://brainly.com/question/10354322

#SPJ6

Answer:

x=-11

Step-by-step explanation:

Answer:

8 and 5.

Step-by-step explanation:

x - y = 3

x + y= 13

by elimination method ,we get

2x = 16

x = 16/2

x = 8

8 + y = 13

y = 13 - 8

y = 5

x = 8 ,y = 5

Answer:

8 and 5

Step-by-step explanation:

Answer:

<1 = 113

<2 = 67

<3 = 113

Step-by-step explanation:

m<2 = 67 (because of vertical angles)

<1 + 67 = 180

<1 = 113

<1 = <3 because of vertical angles

Answer: so you know y so you have to plug that in for the y on the bottom and you have to find x.  

Step-by-step explanation: x=1.40 and y= 5x-22

Answer:

A

Step-by-step explanation:

Answer:

I think its 90 degrees or 60 degrees

Answer: 26

2³ + 4(2 + x) for x = 10

- first do 4(2 + x) which is

8+4x

- Evaluate 2 cubed

You get 2 times 2 times 2.

That would get 8

Our expression is 8 + 8+x

x = 10

Substitute the values.

It is Now eight plus 8 plus ten

So when you Calculate eight plus 8 plus 10

You will get 26

Answer:

Step-by-step explanation:

When x = 10, the value of the given expression is:

Correct choice is D