Consider the sequence of steps to solve the equation:

Mathematics

1 answer:

marin [14]3 years ago

4 0

Answer: B) Addition Property

Step-by-step explanation:

The Step 3 is: $3x-30=0$

The idea is to solve the equation, which means that you have to find the value of the variable $x$ .

As $3x-30$ is a subtraction, you need to add 30 to both sides of the equation to keep the equation balanced. This property is known as "Addition property of equality".

This property states that adding the same number to both sides of the equation, the equality does not change:

$a=b\\a+n=b+n$

Then, the Addition property of equality applied in Step 3, get you to Step 4:

$3x-30+(30)=0+(30)\\3x=30$

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Cathy rolls a number cube that is labeled from 1 to 6.

MatroZZZ [7]

Answer: 2/3

Cathy rolls a number cube that is labeled from 1 to 6.

Total outcomes = {1,2,3,4,5,6}

she rolls an even number or a multiple of 3

Outcomes of an even number = {2,4,6}

Outcomes of multiple of 3 = {3,6}

so favorable outcomes of even number or a multiple of 3 = {2,3,4,6}

Probability ( any event) =number of favorable outcomes divide by total number of outcomes

probability(even number or a multiple of 3) = $\frac{4}{6}=\frac{2}{3}$

7 0

3 years ago

What quadratic formula do I need to use to solve 3x(x+6)=-1

timofeeve [1]

Answer:

$\Large \boxed{x_1=\frac{9+\sqrt{51} }{3} \ \ ; \ \ x_2=\frac{9-\sqrt{51} }{3} }$

Step-by-step explanation:

$\displaystyle \Large \boldsymbol{} 3x(x+6)=-10 \\\\3x^2+18x=-10 \\\\3x^2+18x+10=0 \\\\D=324-120=204 \\\\ x_{1;2}=\frac{18\pm2\sqrt{51} }{6} =\frac{9\pm\sqrt{51} }{3}$