Which of the following is a solution of 12 x - 7 > 6? -1 0 1 2

Mathematics

1 answer:

Mkey [24]3 years ago

5 0

Answer:

The answer to your question is "2"

Step-by-step explanation:

Data

12x - 7 > 6

Process

1.- Add +7 in both sides of the inequality

12x - 7 + 7 > 6 + 7

2.- Simplify

12x > 13

3.- Divide by 12 both sides

12x/12 > 13/12

x > 13/12 or x > 1.08

4.- Conclusion

All the numbers higher than 1.08 are solutions of this inequality

Then, from the choices, the only possible solution is 2.

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-4(x - 2) - 3x = 2(5x - 7) + 6

Allisa [31]

Answer: last option.

Step-by-step explanation:

To apply the Distributive property, remember that:

$c(a-b)=ca-cb$

Then, applying this, you get:

$-4(x - 2) - 3x = 2(5x - 7) + 6\\\\(-4)(x)+(-4)(-2)-3x=(2)(5x)+(2)(-7)+6\\\\-4x+8-3x=10x-14+6$

Combine like terms means that you need to add the like terms.

Therefore, you get:

$-7x+8=10x-8$

You can observe that the expression obtained matches with the expression provided in the last option.

3 0

3 years ago

Calculate the average rate of change for the given function, from x = 2 to x = 7.

Marina86 [1]

$\bf slope = m = \cfrac{rise}{run} \implies 
\cfrac{ f(x_2) - f(x_1)}{ x_2 - x_1}\impliedby 
\begin{array}{llll}
average~rate\\
of~change
\end{array}\\\\
-------------------------------\\\\

\begin{array}{ccll}
x&f(x)\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
-2&0\\2&15\\7&30
\end{array}
\qquad 
\begin{cases}
x_1=2\\
x_2=7
\end{cases}\implies \cfrac{f(7)-f(2)}{7-2}\implies \cfrac{30-15}{5}
\\\\\\
\cfrac{15}{5}\implies 3$