Which best describes the solution set of the compound inequality below?


2 + x ≤ 3x – 6 ≤ 12

a: 4 ≤ x ≤ 9
b: 4 ≤ x ≤ 6
c: –2 ≤ x ≤ 2
d: –2 ≤ x ≤ 3

The values of the function are,

f (- 3) = 16,000 meaning a qualifying applicant with - 3 siblings in their household would get $16,000 in financial aid. This interpretation does not make sense in the context of the problem.

f (3) = 34,000 meaning a qualifying applicant with 3 siblings in their household would get $34,000 in financial aid. This interpretation makes sense in the context of the problem.

The domain for this function is x ≥ 0, indicating that the number of siblings must be a non-negative whole number or zero.

Given that,

The function is,

[tex]f (x) = 25000 + 3000x[/tex]

Where x is the number of siblings.

Hence, the values of the function are found as,

[tex]f (x) = 25000 + 3000x[/tex]

Put x = - 3;

[tex]f (- 3) = 25000 + 3000 \times - 3[/tex]

[tex]f (- 3) = 25000 - 9000[/tex]

[tex]f (- 3) = 16,000[/tex]

Put x = 3;

[tex]f (x) = 25000 + 3000x[/tex]

[tex]f (3) = 25000 + 3000 \times 3[/tex]

[tex]f ( 3) = 25000 + 9000[/tex]

[tex]f (3) = 34,000[/tex]

Since the given function is,'

[tex]f (x) = 25000 + 3000x[/tex]

Regarding the domain of the function,

Since the number of siblings (x) must be a non-negative integer, it represents the count of individuals.

Therefore, the appropriate domain for this function would be x ≥ 0, meaning x can be any non-negative whole number or zero.

To learn more about the function visit:

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For the given question some parts of the question are shown in the attached image.

Answer:

the answer is // x^2 - x +1 (apex)

Step-by-step explanation:

Answer:

A. 11

Step-by-step explanation:

30 - 2(7+2) - 1

30 - 2(9) -1

30-18- 1

12-1

11

Answer:

30 - 2(7+2) -1

PEMDAS

Parentheses first

30 - 2(9) -1

Then multiply and divide

30 - 18 -1

Then add and subtract

12-1

11

Step-by-step explanation:

Answer:

1/30

Step-by-step explanation:

[tex]15x - 10 = 10 + 6 + 2x[/tex]

[tex]15x - 10 = 16 + 2x[/tex]

Plus sides 10

[tex]15x - 10 + 10 = 2x + 16 + 10 \\ [/tex]

[tex]15x = 2x + 26[/tex]

Subtract sides -2x

[tex]15x - 2x = 2x - 2x + 26[/tex]

[tex]13x = 26[/tex]

Divided sides by 13

[tex] \frac{13}{13}x = \frac{26}{13} \\ [/tex]

[tex]x = 2[/tex]

_________________________________

Done.....♥️♥️♥️♥️♥️

Answer:

Um yes what they said :) I got 2 too.

Step-by-step explanation:

Answer:

-3/2

Step-by-step explanation:

If the slope of a line is a fraction, flip it and change the sign to find the slope of a perpendicular.

-3/2

Answer:

The value of m to be substituted in y – y1 = m(x – x1) is the negative reciprocal of the slope of the given line.

Substitute this in for m.

Substitute the given point, (x1, y1), in the point-slope form.

Isolate y by multiplying out m and subtracting y1 to rewrite the equation in slope-intercept form: y = mx + b.

It should be something like this, hope this helped you!

Answer:

Step-by-step explanation:

Step 1 : Find the slope/gradient (this is known as "m")

The slope formula is :

[tex]m = \frac{y2 - y1}{x2-x1}[/tex]

*Note that we are given 2 points:

For the first point (-2,-1) , this means x1 = -2 and y1 = -1

For the second point (2,4), this means x2 = 2 and y2 = 4

If we substitute those values into the slope formula you end up with this:

[tex]m = \frac{y2-y2}{x2-x1} = \frac{4 - (-1)}{2 - (-2)} = \frac{4+1}{2+2} =\frac{5}{4}[/tex]

Step 2: Substitute the values into the point-slope formula:

[tex]y - y1 = m(x- x1)[/tex]

Now that we know m = 5/4 , you can substitute this into the above formula and you get:

[tex]y - y1 = m(x- x1)[/tex]

[tex]y - (-1) = \frac{5}{4} (x - (-2)) \\y + 1 = \frac{5}{4} ( x + 2)[/tex]

[tex]y = \frac{5}{4}(x + 2) - 1[/tex]

Answer:

There are 12 pieces of candy in Willy's bags and 13 pieces of candy in Mia's bags.

Step-by-step explanation:

Draw it out.

Answer:

<5 ~= <1 - Corresponding Angles Theorem

<1 ~= <7 - Alternate Exterior Angles Theorem

<5~= <7 - Vertical Angles Theorem

line l || line m - Transitive Property

Answer:

The equation is y = (-4/5)x + 2/5.

Step-by-step explanation:

In a slope form equation, y = mx + b where m represents gradient/slope and b is the y-intercept. Given that the slope is -4/5 so you have to find the value of b by substituing the coordinates into the equation :

[tex]y = - \frac{4}{5} x + b[/tex]

[tex]let \: x = 3,y = - 2[/tex]

[tex] - 2 = - \frac{ 4}{5} ( 3) + b[/tex]

[tex] - 2 = - \frac{12}{5} + b[/tex]

[tex]b = - 2 + \frac{12}{5} [/tex]

[tex]b = \frac{2}{5} [/tex]

[tex]y = - \frac{4}{5} x + \frac{2}{5} [/tex]

Answer:

T

Step-by-step explanation:

47+47=94

125-94=31

She will have 31 dollars left

Responder:

$ 2560

Explicación paso a paso:

Dado lo siguiente:

Importe total (A) = 60000

Pago inicial = 20% de A

Pago inicial = 0,2 * 60000 = 12000

Importe pendiente de pago = (60000 - 12000) = 48000

Calcular el interés simple sobre el saldo de 48000 = principal

principal * tasa * tiempo

(48 000 * 0,12 * (30/6))

48000 * 0,12 * 5 = 28800

Por tanto, el importe total a pagar durante 30 meses será:

(48 000 + 28800) = 76800

Dado que el pago mensual es fijo:

Pago mensual = (monto total a pagar / cantidad de meses)

Pago mensual = (76800/30)

Pago mensual = $ 2560

Answer:

1. -564

2. 11 1/2

3. 45/472

5. 3(2x - 1) = 3(2x) - 3(1)

6. 1/5(x) + 2y

= x/5 + 2y

7) 77.1km

8. 211.8 pizzas

Step-by-step explanation:

1. 4 (6) -2 (8) + 4-576

= 24 - 16 + 4 - 576

= 24 + 4 - 16 - 576

= 28 - 16 - 576

= 28 - 592

= -564

2. 2 3/4 + 8 3/4

Mínimo común múltiplo de los denominadores = 4

2 3/4 + 8 3/4

= (2 + 8) + (3 + 3/4)

= 10 + (6/4)

= 10 + 1 2/4

= 10 +1 1/2

= 11 1/2

3. (9/4) (6/59 (1/2) 2/6 ÷ 6/5

BODMAS

= 9/4 × 6/59 × 1/2 × 2/6 ÷ 6/5

= 9/4 × 6/59 × 1/2 × 2/6 × 5/6

= 45/472

5. Expresar el lenguaje común 6x -3

Factoriza la expresión algebraica

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

3 (2x - 1) = 3 (2x) - 3 (1)

6. Expresar en lenguaje algebraico. "La quinta parte de un número más el doble de un número diferente.

Sea un número representado por x

Sea un número diferente representado por y

Por lo tanto:

1/5 (x) + 2 años

= x / 5 + 2y

7. Si con 7 L de gasolina recorrí 30 km, con 18 L, ¿cuántos kilómetros?

7 L = 30 km

18 L = x km

Cruz y

7L × x km = 18L × 30km

xkm = 18L × 30km / 7

= 77.142857143km

≈ 77.1 kilometros

8. Si con 17 pizzas gigantes comen 90 personas, con 40 pizzas ¿cuántas personas comen?

17 pizzas gigantes = 90 personas

40 pizzas =

Cruz multiplicar

40 pizzas × 90 personas / 17

= 211.76470588 pizzas

≈ 211.8 pizzas

Answer:

The gluten-free has stronger flavor of butterscotch

Step-by-step explanation:

Given

Regular Batch:

5 cups of butterscotch chips and 16 cups of regular flour.

Gluten-free batch

3 cups of butterscotch chips and 8 cups of gluten-free flour.

Required

Which batch has stronger butterscotch flavor

First, we need to determine the percentage of butterscotch in both flavors by using:

[tex]\% = \frac{Butterscotch}{Total} * 100\%[/tex]

For Regular:

[tex]\%= \frac{5}{5 + 16} * 100\%[/tex]

[tex]\%= \frac{5}{21} * 100\%[/tex]

[tex]\%= \frac{500\%}{21}[/tex]

[tex]\%= 23.81\%[/tex]

For Gluten-free

[tex]\% = \frac{3}{3 + 8} * 100\%[/tex]

[tex]\% = \frac{3}{11} * 100\%[/tex]

[tex]\% = \frac{300\%}{11}[/tex]

[tex]\% = 27.27\%[/tex]

Comparing both,

We can see that the percentage of butterscotch in gluten free batches is greater than that of regular batches

Hence:

The gluten-free has stronger flavor of butterscotch

Answer:

a= 7w-28b

Step-by-step explanation:

w= 7a +4b

           -4b

w-4b =7a

w/7 - 4b/7 =7a/7

a= w/7 -4b/7

a= 7w-28b

Answer:

the answer is false. you first multiply the number by the numerator then add it to the denominator

wait do you mean that one magazine is 2/11 inches thick

Answer: (0,-6)

Step-by-step explanation:

To find the y-intercept, we can rewrite the equation into slope-intercept form.

3x+5y=-30            [subtract both sides by 3x]

5y=-3x-30             [divide both sides by 5]

y=-3/5x-6

Now that the equation is in slope-interceot form, we know that the y-intercept is -6, we know that the answer is (0,-6).

Answer:

2 Miles.

Step-by-step explanation:

[tex]2\frac{2}{3}=\frac{8}{3}\\\\\frac{8}{3}*\frac{3}{4}=\frac{2}{1}*\frac{1}{1}\\\\[/tex].

Your final answer is 2 miles.

Answer:

1,848m

Step-by-step explanation:

7x24x22= 3,696

Since it's a triangle, we split it into 2.

3,696÷2= 1,848

Therefore, your answer is 1,848.

Hope this helps!

Supplementary angles are angles that sum up to 180 degrees

Step 1:

If m<x and m<y are supplementary, hence;

m<x + m<y = 180 ....................1

Step 2:

If m<y is a supplement to m<z, hence:

m<y + m<z = 180 ...........................2

Equating 1 and 2

m<x + m<y  = m<y + m<z

Subtract m<y from both sides

m<x + m<y-m<y  = m<y + m<z - m<y

m<x = m<z

This proves the statement m<x = m<z

Learn more here: https://brainly.com/question/12919120

Answer:

Step-by-step explanation:

Let the number = x

So we are trying to work out what number must be subtract from the numerator and denominator of 5/3 to equal 5/7.

You can write this as:

[tex]\frac{ 5-x}{3 - x} = \frac{5}{7}[/tex]

Then you want to get rid of the fractions so multiply both sides by 3-x

[tex]5 - x =[/tex] [tex]\frac{5 ( 3 - x)}{7}[/tex]

Then multiply both sides by 7

[tex]7( 5 - x) = 5 ( 3 - x)[/tex]

Multiply it out.

35 - 7x = 15 - 5x

Add 7x to both sides:

35 = 15 - 5x + 7x

35 = 15 + 2x

Subtract 15 from both sides

35 - 15 = 2x

20 = 2x

To find x, divide both sides by 2.

x = 10.

Answer:

1449616

Step-by-step explanation:

Answer:

0.25

I hope this helps!

Answer:

1/4

Step-by-step explanation:

Negative exponents basically flip the number upside down,

so 4 ^ -2 would be 1/4^2

where the four has a power of 2.

The answer would therefore be 1/16

Numbers to the power of 1, is just the same number, so if you have negative exponents, it would be the same 4, except flipped over.

Answer:

R'= (-4, -1) S'=(-2,1) Q'=(0,0)

Step-by-step explanation:

No, you rotated the triangle 90 degrees clockwise, rotate the triangle counter clockwise (Left not right). the coordinates would be

Answer:

6hours

Step-by-step explanation:

From the given information:

Suppose it took Karl x hours to retile her bathroom,

Then it will take Della 3 hours longer i.e (3+x) hours

If Della and Karl work together or will take them 2 hours

The objective is to determine how long it will take Delia to retile the bathroom alone?

∴

[tex]\dfrac{1}{x}+\dfrac{1}{3+x}= \dfrac{1}{2}[/tex]

[tex]\dfrac{x+3+x}{x(3+x)}= \dfrac{1}{2}[/tex]

[tex]\dfrac{2x+3}{3x+x^2}= \dfrac{1}{2}[/tex]

By cross multiplying, we have:

2(2x+3) = 3x+x²

4x + 6 = 3x + x²

3x + x² - 4x - 6

x² - x - 6 = 0

Using quadratic equation

x² -3x +2x - 6 = 0

x(x - 3) + 2(x - 3) = 0

(x +2) (x - 3) = 0

x + 2 = 0 or x - 3 = 0

x = -2 or x = 3

Since we are concerned about the positive integer,

Then, Karl = x = 3 hours while Della which is (3+x) = 3+3 = 6hours

Answer:

1.5 dollars

Step-by-step explanation:

24/16=1.5

Answer:

if 16 tickets cost 24 dollars how about one

if 16tkts = 24 dollars

how about 1 tkt = ?

1×24=24

24÷16 = 1.5 dollars or you round off to the nearest 5 cents Making the answer to be 2 Dollars per ticket