Which equation represents a linear function?

Answer: It is the second one, third one, and last one

Step-by-step explanation:

Answer:

The  variable are

A and  B

Step-by-step explanation:

Generally we can define a variable as a name of a placeholder representing a value  now considering the option to be selected from we see that

    The students' verbal SAT scores is a variable  because it is a phrase or a place holder that represent a value (in the is case a  numerical value)  which the score its self

    The second option  The students' percentage of words that were correctly recognized on the original list is also a variable because it is a placeholder of a name (in this case a phrase ) that represented the actual value itself

  The  third option The 75 students is not a variable because it is not representing any value but itself is the value

  The  third option The 750 students is not a variable because it is not representing any value but itself is the value

The group of people who should make up a sample that will best answer her question is the 9th graders in her school. The correct option is C.

Subjects are the different sets of information which is studied.

9th graders in her school will be perfect because the question is specifically asking about the opinions of 9th-grade students in the high school, so it makes sense to sample this group directly.

The other options may provide some insights, but they may not be as accurate or representative of the opinions of the 9th-grade students in the school.

Thus, the correct option is C, 9th graders in her school.

Learn more about subjects, here:

https://brainly.com/question/23548366

#SPJ1

Answer:

30% of the pizza was eaten

Step-by-step explanation:

10 pieces = 100%

they ate 3 soooo 30%

Answer:

90%

Step-by-step explanation:

Answer:

l lugar geométrico de los puntos que equidistan a otros dos puntos fijos {\displaystyle A}A y {\displaystyle B}B es una recta o eje de simetría de dichos dos puntos. Si los dos puntos son los dos extremos de un segmento {\displaystyle {\overline {AB}}}\overline {AB}, dicha recta, o lugar geométrico, es llamada mediatriz y es la recta que interseca perpendicularmente a {\displaystyle {\overline {AB}}}\overline {AB} en su punto medio.

La bisectriz cumple la propiedad de que todos sus puntos equidistan a los lados de dicho ángulo, convirtiéndose la bisectriz en un caso particular del lugar geométrico que sigue a continuación.

El caso de equidistancia a dos rectas paralelas, obtenemos que la paralela media es el lugar geométrico de los puntos que las equidistan. Se observa que, bajo el punto de vista de que las rectas paralelas se cortan en el infinito -se elimina, pues, la noción de paralelismo-, pasa a ser un sinónimo de la bisectriz, donde el ángulo ha tomado valor nulo.

Secciones cónicas

Las secciones cónicas pueden ser descritas mediante sus lugares de geométria:

La circunferencia es el lugar geométrico de los puntos cuya distancia a un punto determinado, el centro, es un valor dado (el radio).

La elipse es el lugar geométrico de los puntos tales que la suma de su distancia a dos puntos fijos, los focos, es una constante equivalente a la longitud del eje mayor de la elipse.

La parábola es el lugar geométrico de los puntos cuya distancia a un foco equivale a su distancia a una recta llamada directriz.

La hipérbola es el lugar geométrico de los puntos tales que el valor absoluto de la diferencia entre sus distancias a dos puntos fijos, los focos, es igual a una constante (positiva), que equivale a la distancia entre los vértices.

Una recta es un lugar geométrico infinito formado por un conjunto de puntos que conservan la misma dirección.

En este ejercicio debemos concluir que tipo de expresión se deriva del enunciado del lugar geométrico. Recuérdese que un lugar geométrico es un conjunto de puntos que satisfacen una característica dada.

Matemáticamente hablando, el lugar geométrico puede ser definido a partir de las definiciones de longitudes de segmento de recta:

\(AC = AB + BC\) (1)

Puesto que \(AB\) y \(BC\) tienen la misma dirección, entonces es posible aplicar las siguientes equivalencias:

\(BC = k \cdot AB\), \(k\in \mathbb{R}\) (2)

\(AC = r\cdot AB, \,r\in\mathbb{R}\) (3)

Al aplicarse (2) y (3) en (1) y simplificar la expresión, tenemos lo siguiente:

\(r = 1 + k\) (4)

Por geometría analítica tenemos que el lugar geométrico debe ser una recta, puesto que \(r\) y \(k\) representan un conjunto infinito de elementos. \(\blacksquare\)

Para aprender más sobre lugares geométricos, invitamos cordialmente a ver esta pregunta verificada: https://brainly.com/question/26000018

The value of x using the concept of supplementary angles is; 26

Supplementary angles are defined as two angles that add up to 180 degrees.

For example, If a and b are supplementary angles then, it means that;

a + b = 180°

In this question, we are given that ∠1 ​ and ∠2 are supplementary. Thus;

If m∠1 = 124° and m∠2 = (2x + 4)°, then we have;

124° + (2x + 4)° = 180°

180 - 124 = 2x + 4

2x = 180 - 124 - 4

2x = 52

x = 52/2

x = 26

Read more about Supplementary angles at; https://brainly.com/question/2046046

#SPJ1

Answer:

the answer is $292 :)

have a nice day

Answer:

4/1

Step-by-step explanation:

slope = (8-4) / (3-2)

slope = 4/1

Hello!

The distance, d, is less than 200 miles.

B. d > 200

Answer:

1→ (4/4) / (4/4) = 1/1 = 1

2→ (4*4) / (4+4)= 16/8 = 2

3→ (4+4+4)/4 = 12/4 = 3

4→ (4-4)*4 + 4= 0*4 + 4= 4

5→ (4*4 +4) /4 = 20/4 =5

6→ 4+(4+4)/4 =  4+  8/4 = 4+2 =6

7→ 4+4 -4/4 = 8-1=7

8→ 4+4+4-4=12-4=8

9→ 4+4 + (4/4)= 8+1 =9

Step-by-step explanation:

Answer:

x^2+2x-8= x^2+10x-8x-80 =x(x+10)-8(x+10)

=( x-8) (x+10)

therefore x= 8 or x=-10

Answer

50

Step-by-step explanation:

60 is supplementary to 120 so 60+70=130

and a triangle adds up to 180 so 180-130 would be 50

Jose got a false statement because the system of equations has no solution.

In Mathematics, no solution is sometimes referred to as zero solution. Additionally, an equation is considered as having no solution when the right hand side and left hand side of the equation are not the same or equal.

From the information provided above, we have this system of equations:

y = -3x + 1     ........equation 1

3x + y = 5           ........equation 2

Substituting equation 1 into equation 2, we have the following:

3x + (-3x) + 1 = 5

3x - 3x + 1 = 5

0 + 1 = 5

1 = 5 (False).

In this context, we can logically deduce that this system of equations has no valid solution.

Read more on equation here: brainly.com/question/28148072

#SPJ1

Complete Question:

Why did Jose get a false statement?

Jose got a false statement because the system of equations has _____.

Answer:

g because if you half it is 12 1/2 then agin it is 6 3/4

Answer:

an algebraic expression that has a term with a coefficient of 9 is

9(x +14)

9x + 126

Answer:

\( { \boxed{ \blue{ \tt{last \: term : l = a + (n - 1)d}}}} \\ \\ { \boxed{ \green{ \tt{sum : s = \frac{n}{2} (2a + (n - 1)d}}}} \\ or\\ { \boxed{ \tt{ \red{sum : s = \frac{n}{2} (a + l)}}}} \\ { \bf{s \: is \: sum }} \\ { \bf{ l \: is \: last \: term}} \\{ \bf{ n \: is \: number \: of \: terms}} \\{ \bf{ d \: is \: common \: difference}} \\ \\ { \underline{ \blue{ \tt{becker \: jnr}}}}\)

Answer:

i think it is all ready in standard form

is the original number 0.000000423 if yes then it is in standard form

Answer:

O is a whole number.

Step-by-step explanation:

Answer:

0 is not a natural number, it is a whole number.

Step-by-step explanation:

Negative numbers, fractions, and decimals are neither natural numbers nor whole numbers. N is closed, associative, and commutative under both addition and multiplication (but not under subtraction and division).

Given g is a one-to-one function

g(1) = 5

g-1(5) = 1

Given h is a one-to-one function

h(x) = 4x + 9

y = 4x + 9

(y-9)/4 = x

h-1(x) = (x-9)/4

(h-1°h)(-2) = h-1(h(-2))

= h-1(1) [ as h(-2) = 1]

= (1-9)/4

= -2

Answer: 6

2 possibilities for each student if they are first and 3 students so 3*2=6.

Answer:

9a-2=7

Step-by-step explanation:

4a+ 5a-2=5+3-1

To simplify each side, combine like terms.

4a+5a = 9a

5+3-1 = 7

The equation becomes:

9a-2=7

Answer:

Investment is a source of Income.

Self Employment Income

Answer: Business ownership

Step-by-step explanation: took the quiz

Answer:

Part A: $3,415.50

B: 11.34%

Step-by-step explanation:

Part A: $31,000 is within the values 10,276≤x≤41,175, so use f(x)=0.12x-205.50

Part B: For the effective tax rate, divide the amount in part A by the taxable income

Part C: Compare both the taxable income and the effective tax rate to the income domains given and the % multiplier. This one is mostly about how you describe the situation, so I'll leave that up to you.

To calculate the taxes owed on a taxable income of $31,000, we use the appropriate equation for the tax bracket it falls into and substitute the value of x. The effective tax rate is calculated by dividing the amount of taxes owed by the taxable income and multiplying by 100. The piecewise function represents the marginal tax rate chart by using different equations for each tax bracket.

Part A:

To calculate the amount of taxes owed on a taxable income of $31,000, we need to determine which tax bracket it falls into. Since $31,000 is greater than $10,275 but less than $41,175, it falls into tax bracket 2. To find the amount of taxes owed, we use the equation for tax bracket 2: f(x) = 0.12x - 205.50. Plugging in $31,000 for x, we get:

f(x) = 0.12 * 31000 - 205.50 = $3,574.50

Therefore, the amount of taxes owed on a taxable income of $31,000 is $3,574.50.

Part B:

To determine the effective tax rate, we divide the amount of taxes owed by the taxable income. Using the result from Part A (taxes owed = $3,574.50) and the taxable income of $31,000, we have:

Effective tax rate = (taxes owed / taxable income) * 100 = (3,574.50 / 31,000) * 100 ≈ 11.52%

Therefore, the effective tax rate on a taxable income of $31,000 is approximately 11.52%.

Part C:

The piecewise function represents the amount of taxes owed as a function of the taxable income. Each part of the function corresponds to a different tax bracket, with the equation for that tax bracket. The marginal tax rate chart is represented in the piecewise function by the different equations for each tax bracket. For example, the equation in part 1 of the function (f(x) = 0.10x) corresponds to the 10% marginal tax rate for the tax bracket $0-$10,275.

Learn more about Taxes Calculations here:

https://brainly.com/question/16200743

#SPJ2

Answer:

1)  The functions are not inverses.

\(\textsf{2)} \quad g^{-1}(n)=&\dfrac{3}{8}n-\dfrac{7}{8}\)

\(\textsf{3)} \quad g^{-1}(x)&=\sqrt[3]{\dfrac{1}{2}-\dfrac{1}{2}x}\)

Step-by-step explanation:

The inverse composition rule states that if two functions are inverses of each other, then their compositions result in the identity function.

Given functions:

\(g(x) = 4 + \dfrac{7}{2}x \qquad \qquad f(x) = 5 - \dfrac{4}{5}x\)

Find g(f(x)) and f(g(x)):

\(\begin{aligned} g(f(x))&=4+\dfrac{7}{2}f(x)\\\\&=4+\dfrac{7}{2}\left(5 - \dfrac{4}{5}x\right)\\\\&=4+\dfrac{35}{2}-\dfrac{14}{5}x\\\\&=\dfrac{43}{2}-\dfrac{14}{5}x\\\\\end{aligned}\)                 \(\begin{aligned} f(g(x))&=5 - \dfrac{4}{5}g(x)\\\\&=5 - \dfrac{4}{5}\left(4 + \dfrac{7}{2}x \right)\\\\&=5-\dfrac{16}{5}-\dfrac{14}{5}x\\\\&=\dfrac{9}{5}-\dfrac{14}{5}x\end{aligned}\)

As g(f(x)) or f(g(x)) is not equal to x, then f and g cannot be inverses.

\(\hrulefill\)

To find the inverse of a function, swap the dependent and independent variables, and solve for the new dependent variable.

Calculate the inverse of g(n):

\(\begin{aligned}y &= \dfrac{8}{3}n + \dfrac{7}{3}\\\\n &= \dfrac{8}{3}y + \dfrac{7}{3}\\\\3n &= 8y + 7\\\\3n-7 &= 8y\\\\y&=\dfrac{3}{8}n-\dfrac{7}{8}\\\\g^{-1}(n)&=\dfrac{3}{8}n-\dfrac{7}{8}\end{aligned}\)

Calculate the inverse of g(x):

\(\begin{aligned}y &= 1-2x^3\\\\x &= 1-2y^3\\\\x -1&=-2y^3\\\\2y^3&=1-x\\\\y^3&=\dfrac{1}{2}-\dfrac{1}{2}x\\\\y&=\sqrt[3]{\dfrac{1}{2}-\dfrac{1}{2}x}\\\\g^{-1}(x)&=\sqrt[3]{\dfrac{1}{2}-\dfrac{1}{2}x}\\\\\end{aligned}\)

Answer:

1.

If the composition of two functions is the identity function, then the two functions are inverses. In other words, if f(g(x)) = x and g(f(x)) = x, then f and g are inverses.

For\(\bold{g(x) = 4 + \frac{7}{2}x\: and \:f(x) = 5 -\frac{4}{5}x}\), we have:

\(f(g(x)) = 5 - \frac{4}{5}(4 + \frac{7}{2}x)\\ =5 - \frac{4}{5}(\frac{8+7x}{2})\\=5 - \frac{2}{5}(8+7x)\\=\frac{25-16-14x}{5}\\=\frac{9-14x}{5}\)

\(g(f(x)) = 4 + (\frac{7}{5})(5 - \frac{4}{5}x) \\=4 + (\frac{7}{5})(\frac{25-4x}{5})\\=4+ \frac{175-28x}{25}\\=\frac{100+175-28x}{25}\\=\frac{175-28x}{25}\)

As you can see, f(g(x)) does not equal x, and g(f(x)) does not equal x. Therefore, g(x) and f(x) are not inverses.

Sure, here are the inverses of the functions you provided:

2. g(n) = (8/3)n + 7/3

we can swap the roles of x and y and solve for y to find the inverse of g(n). In other words, we can write the equation as y = (8/3)n + 7/3 and solve for n.

y = (8/3)n + 7/3

n =3/8*( y-7/3)

Therefore, the inverse of g(n) is:

\(g^{-1}(n) = \frac{3}{8}(n - \frac{7}{3})=\frac{3}{8}*\frac{3n-7}{3}=\boxed{\frac{3n-7}{8}}\)

3. g(x) = 1 - 2x^3

We can use the method of substitution to find the inverse of g(x). We can substitute y for g(x) and solve for x.

\(y = 1 - 2x^3\\2x^3 = 1 - y\\x = \sqrt[3]{\frac{1 - y}{2}}\)

Therefore, the inverse of g(x) is:

\(g^{-1}(x) =\boxed{ \sqrt[3]{\frac{1 - x}{2}}}\)

You can use the Law Of Sins:

a / sin A

b / sin B

c / sin C

(hope this helps, really sorry if i doesnt :/ )

Answer: 10

Step-by-step explanation:

Answer:

940.8 N

1254.4 N

Step-by-step explanation:

I would think the questions would be to calculate the forces at the top of the cube and at the sides. Thus:

On the top:

F = pressure * area

P = density * gravity * height

the height would be:

1m - 0.4m = 0.6m

replacing:

P = 1000 * 9.8 * 0.6 = 5880

A = (0.4) ^ 2 = 0.16

F = 5880 * 0.16

F = 940.8 N

On the sides:

dF = d * g * h * dA

dA = 0.4 * dh replacing

dF = 1000 * 9.8 * h * 0.4 * dh

dF = 3920 * h * dh

We integrate both sides and we have:

F = 3920 * (h ^ 2/2), h = 0.6 up to h = 1

F = (3920/2) * (1 ^ 2 - 0.6 ^ 2)

F = 1254.4 N

Answer:

Evaluate  f -g .

Remove parentheses.

2 x − 5 -2 − x

Subtract  x  from  2 x .

x − 5 + 2

Subtract  − 5  and  -2

x − 7

f - g   at  x .

then you get your answer by solving this

I hope this helps a little bit.