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inessss [21]
1 year ago
7

Discuss the order of operations to explain why the expressions [(12÷(2+ 2)] ^3 and (12 ÷ 2) + 2^3 do not havethe same value.

Mathematics
1 answer:
Volgvan1 year ago
5 0

The order of operations are different. Hence, the answers are not equal

Explanation:

Oder of operations using PEMDAS (Parenthesis, Exponent, Multiplication, Division, Addition, Subtraction)

[(12÷(2 + 2)]³ and (12 ÷ 2) + 2³

we solve seperately:

[(12÷(2+ 2)]³

we solve the parenthesis first:

(12 ÷ 4)³

then we apply division:

= (3)³

Then expand the exponent:

= 27

(12 ÷ 2) + 2³

we solve the parenthesis first:

6 + 2³

we expand the exponent:

6 + 8

we apply addition:

14

The order of operations are differnt. Hence, the answers are not equal

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What is an equation of the line that passes through the points (0, 3) and (5, -3)?
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Answer <u>(assuming it can be in slope-intercept form)</u>:

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1) First, use the slope formula m =\frac{y_2-y_1}{x_2-x_1} to find the slope of the line. Substitute the x and y values of the given points into the formula and solve:

m =\frac{(-3)-(3)}{(5)-(0)} \\m = \frac{-3-3}{5-0}\\m = \frac{-6}{5}

So, the slope is -\frac{6}{5}.  

2) Now, use the slope-intercept formula y = mx + b to write the equation of the line in slope-intercept form. All you need to do is substitute real values for the m and b in the formula.

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y = -\frac{6}{5} x+3

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