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Sergio039 [100]
2 years ago
14

Follow the order of operations and evaluate these expressions. 1) 7+3(9-4)^2÷5, 12/3-4+7^2, (7-3)×3^3÷9, 5(7-3)^2÷(6-4)^3-9, 3×(

7-5)^3÷(8÷4)^2-5, 9+(3×10)/5×2-12​
Mathematics
1 answer:
vovikov84 [41]2 years ago
6 0

The solution to the first expression - 7+3(9-4)^2÷5 is given as 22.

To get the answer correctly, one must follow rudimentary rules of operations which are coined into the acronym BODMAS.

<h3>What is BODMAS?</h3>

This is the order in which mathematical operations must be executed.
B = Bracket

O = Orders (that is Powers, Indices or roots)

D= Division

M = Multiplication

A = Addition

S = Subtraction

Now lets see how we got 22 from the first set of operations:

<h3>Operation 1 (Example)</h3>

7+3(9-4)^2÷5 =

7+3 (5)^2÷5=

7+3 * 25÷5 =

7+3*5=

7+15=

22

Following the BODMAS rule and the example in Operation 1 above, we can state the remaining answers as follows:

<h3>

Operation 2</h3>

12/3-4+7^2 = 49

<h3 /><h3>Operation 3</h3>

(7-3)×3^3÷9 = 12

<h3>Operation 4</h3>

5(7-3)^2÷(6-4)^3-9 = 1

<h3>Operation 5</h3>

3×(7-5)^3÷(8÷4)^2-5 = 1

<h3>Operation 6</h3>

9+(3×10)/5×2-12​ = 9

See the link below for more about Mathematical Operations:

brainly.com/question/14133018

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If the discriminant, b² - 4ac is<u> positive</u>

<h3>How to complete the statement?</h3>

From the question, we have the following equation of discriminant

The discriminant (d) is calculated as

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The solutions of a quadratic equation are dependent on the following conditions

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This means that "d > 0, the quadratic equation has 2 different real solutions" implies that the discriminant is positive

Hence, the complete statement is (b) positive

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2 years ago
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A

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