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KonstantinChe [14]
3 years ago
8

Find the value of each expression. Show your work.

Mathematics
1 answer:
Verdich [7]3 years ago
4 0

Answer:

A) (1.2)^{2} = 1.44

B)2^ 3+17-(3\times 4) = 13

C)\frac{(9)^2}{(3)^3} = 3

Step-by-step explanation:

Here, the given expressions are:

A) (1.2)^{2}

Solving this, we get

(1.2)^{2}  = 1.2  \times 1.2 = 1.44

⇒(1.2)^{2}  = 1.44

B) 2^ 3+17-(3\times 4)

Now, solving this, we get

2^ 3+17-(3\times 4) = (2 \times 2 \times2) + (17 -12)\\=8 + 5 = 13

⇒2^ 3+17-(3\times 4) = 13

C) \frac{(9)^2}{(3)^3}

Simplifying this, we get

\frac{(9)^2}{(3)^3} = \frac{(9\times9)}{(3 \times 3\times3)}  = 3

⇒ \frac{(9)^2}{(3)^3} = 3

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san4es73 [151]
Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : 

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Step by step solution:<span> Step 1:</span> Trying to factor by splitting the middle term

<span> 1.1 </span>    Factoring <span> x2-5x-36</span> 

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Step-1: Multiply the coefficient of the first term by the constant <span> <span> 1</span> • -36 = -36</span> 

Step-2: Find two factors of  -36  whose sum equals the coefficient of the middle term, which is - 5.

<span><span>     -36   +   1   =   -35</span><span>     -18   +   2   =   -16</span><span>     -12   +   3   =   -9</span><span>     -9   +   4   =   -5   That's it</span></span>


Step-3: Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -9  and  4 
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Step-4: Add up the first 2 terms, pulling out like factors :
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              Add up the last 2 terms, pulling out common factors :
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Step-5: Add up the four terms of step 4 :
                    (x+4)  •  (x-9)
             Which is the desired factorization

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<span> 2.1 </span>   A product of several terms equals zero.<span> 

 </span>When a product of two or more terms equals zero, then at least one of the terms must be zero.<span> 

 </span>We shall now solve each term = 0 separately<span> 

 </span>In other words, we are going to solve as many equations as there are terms in the product<span> 

 </span>Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation :

<span> 2.2 </span>     Solve  :    x+4 = 0<span> 

 </span>Subtract  4  from both sides of the equation :<span> 
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Solving a Single Variable Equation :

<span> 2.3 </span>     Solve  :    x-9 = 0<span> 

 </span>Add  9  to both sides of the equation :<span> 
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2b plus 4a minus a minus 2 plus 12b
jarptica [38.1K]

The value of the expression 2b plus 4a minus a minus 2 plus 12b is 3a + 14b - 2.

Expression:

An expression is defined as the a combination of operators, constants and variables. And it may consist of one or more operands, and zero or more operators to produce a value.

Given,

Here we have the statement "2b plus 4a minus a minus 2 plus 12b".

Now, we have to find the simplified form of this statement.

In order to find the simplified form,

First we have to convert the statement into expression form, then we get

2b plus 4a minus a minus 2 plus 12b = 2b + 4a - a - 2 + 12b

Now, we have to combine the like terms, then we get,

=> (2b + 12b) + (4a - a) - 2

Perform the appropriate arithmetic operations, then we get the simplified form of the expression as,

=> 14b + 3a - 2

Now, we have to arrange them in order then we get,

=> 3a + 14b - 2

To know more about Expression here.

brainly.com/question/14083225

#SPJ1

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