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3 years ago

Find the possible value of n in the inequality -3n <81

2 answers:

8 0

<span>Given the inequality -3n < 81, if we divide both sides by -3, the inequality sign changes. That means we have n > -27. Thus, the answer is d. </span>

vekshin13 years ago

7 0

Answer:

Option D. n > -27

Step-by-step explanation:

The given inequality is -3n < 81

By dividing this inequality with 3 inequality remains unchanged.

$\frac{-3n}{3}< \frac{81}{3}$

-n < 27

Now subtract 27 on both the sides

-n - 27 < 27 - 27

-n - 27 < 0

Now add n on both the sides

-n + n - 27 < 0 + n

-27 < n

n > -27

In other words,

when we change the signs of the terms on both the sides of the inequality, inequality gets reversed (sign of greater than becomes less than or sign of less than becomes greater than).

Therefore, Option d. will be the answer.

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Al obtener el valor de lo que costará la fiesta de graduación para tu grupo te das cuenta que el lugar que decidieron alquilar p

dybincka [34]

Explicación paso a paso:

Debemos buscar el costo de cada boleto y la cantidad de personas que deben ir.

Dada la función que da forma al comportamiento expresado como;

f (x) = (-2x) ^ 2 + 80x + 300 donde;

x es el costo de cada boleto

f (x) es el número de personas que deben ir

Para obtener x, usaremos la expresión;

x = -b / 2a

De la ecuación cuadrática dada, a = -2, b = 80 yc = 300

Sustituir;

x = -80/2 (-2)

x = -80 / -4

x = 80/4

x = 20

Por lo tanto, el boleto cuesta $ 20.

Lo siguiente es obtener la cantidad de personas que deben ir. Para conseguirlo, sustituiremos x = 20 en la expresión modelada como se muestra;

f (x) = (-2x) ^ 2 + 80x + 300

f (20) = (-2 (20)) ^ 2 + 80 (20) +300

f (20) = (-40) ^ 2 + 1600 + 300

f (20) = 1600 + 1600 + 300

f (20) = 3500

Por lo tanto, 3500 personas tienen que ir

8 0

3 years ago

The midpoint of AB is M(3, -1). If the coordinates of A are (5,1), what are the

Vera_Pavlovna [14]

Given parameters:

Midpoint of AB = M(3, -1)

Coordinates of A = (5,1)

Unknown:

Coordinates of B = ?

Solution:

To find the mid point of any line, we use the expression below;

$x_{m} = \frac{x_{1} + x_{2} }{2}$ and $y_{m} = \frac{y_{1} + y_{2} }{2}$

where $x_{m}$ and $y_{m}$ = coordinates of the mid points = 3 and -1

x₁ = 5 and y₁ = 1

x₂ = ? and y₂ = ?

Now let us input the variables and solve,

3 = $\frac{5 + x_{2} }{2}$ and -1 = $\frac{1 + y_{2} }{2}$

5 + x₂ = 6 -2 = 1 + y₂

x₂ = 1 y₂ = -2 -1 = -3

The coordinates of B = 1, -3

6 0

3 years ago

How do you solve x- 17 =23

Reptile [31]

x-17= 23

move -17 to the other side

sign changes from -17 to +17

x-17+17= 23+17

x= 23+17

Answer:

x= 40

8 0

3 years ago

Read 2 more answers

A, b and c are the sides of a right triangle, where side a is across from angle a, side b is across from angle b, and side c is

Vera_Pavlovna [14]

<span>Find missing length :
</span>
a² + b² = c²
c² = 19² + 34²
c² = 1517
c = √1517
c = 38.95 units.

Find missing angle A:

$\dfrac{a}{\sin(a)} = \dfrac{c}{\sin(c)}$

$\dfrac{19}{\sin(a)} = \dfrac{38.95}{\sin(90)}$

$\sin(a) = 0.488$

$a = sin^{-1} (0.488)$

$a = 29.2 \textdegree$

Find Missing B:

$\dfrac{b}{\sin(b)} = \dfrac{c}{\sin(c)}$

$\dfrac{34}{\sin(b)} = \dfrac{38.95}{\sin(90)}$

$\sin(b) = 0.873$

$b = sin^{-1}(0.873)$

$b = 60.8 \textdegree$

Answer: Missing length = 38.95 units ; Missing angles = 29.2° and 60.8°

8 0

3 years ago

find the value of x. Round to the nearest degree

Aleksandr-060686 [28]

Answer:

51 degress

Step-by-step explanation:

sin x = 7/9

x = sin^-1 (7/9)

simply using a calculator.

3 0

3 years ago

Read 2 more answers