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Vladimir79 [104]
2 years ago
13

Solve for X 3(x + 7) < 7(x + 2)

Mathematics
2 answers:
antiseptic1488 [7]2 years ago
7 0

\\ \tt\hookrightarrow 3(x+7)

\\ \tt\hookrightarrow 3x+21

\\ \tt\hookrightarrow 3x-7x

\\ \tt\hookrightarrow -4x

\\ \tt\hookrightarrow 4x>7

\\ \tt\hookrightarrow x>7/4

\\ \tt\hookrightarrow x\in(\dfrac{7}{4},\infty)

Furkat [3]2 years ago
5 0

Answer:

x > 7/4

Step-by-step explanation:

3(x + 7) < 7(x + 2)

Expand brackets:                 3x + 21 < 7x + 14

Subtract 14 from both sides:  3x +7 < 7x

Subtract 3x from both sides:         7 < 4x

Divide both sides by 4:              7/4 < x

Therefore x > 7/4

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Answer:

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Step-by-step explanation:

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5 0
3 years ago
Una recta con pendiente -2 ´pasa por el punto P(5, -1). La abscisa del punto Q que está en esa recta es 1. Encuentre la ordenada
oksian1 [2.3K]

Answer:

La ordenada de Q es 7.

Step-by-step explanation:

La ecuación de una recta es:

y = a*x + b

donde a es la pendiente y b es la ordenada al origen.

Para este problema, sabemos que la pendiente es -2

Entonces:

a = -2

y = -2*x + b

También sabemos que esta recta pasa por el punto (5, -1)

Esto significa que cuando evaluamos la ecuación en x = 5, y toma el valor y = -1

Si reemplazamos esos valores en la ecuación, obtenemos:

-1 = -2*5 + b

-1 = -10 + b

-1 + 10 = b

9 = b

Entonces la ecuación de la recta es:

y = -2*x + 9

Sabemos que el punto Q está en la línea, y la abscisa de este punto es 1.

Entonces este punto es Q (1, k)

donde k es la ordenada de este punto.

Porque nuestra línea también pasa por este punto, podemos concluir que cuando x = 1, y = k

Reemplazando eso en la ecuación tenemos:

k = -2*1 + 9 = -2 + 9 = 7

k = 7

La ordenada de Q es 7.

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3 years ago
Dividing Binomials by monomials
vodka [1.7K]
The answer I got was -3x^(3)+6
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In the Hope family there are seven sisters, and each sister has one brother.Including Mr. and Mrs.Hope, how many are in the fami
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6 0
3 years ago
What number plus 2 less than 3 times the number equals 14
Afina-wow [57]

Obviously this will be a negative number

-2 - 14 = 5x - 3x

 

-16 = 2x

x = %28-16%29%2F2

x = -8 is the number

:

:

Check solution in the original statement: x=-8

3(-8) - 2 = 5(-8) + 14

-24 - 2 = -40 + 14

-26 = -26


7 0
3 years ago
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