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crimeas [40]
3 years ago
5

Simplify z3+5z+3z2+1-4-2z2

Mathematics
1 answer:
Leni [432]3 years ago
5 0

Answer:

z3 + z2 + 5z - 3

Step-by-step explanation:

Step  1  :

Equation at the end of step  1  :

 (((((z3)+5z)+(3•(z2)))+1)-4)-2z2

Step  2  :

Equation at the end of step  2  :

 (((((z3)+5z)+3z2)+1)-4)-2z2

Step  3  :

Checking for a perfect cube :

3.1    z3+z2+5z-3  is not a perfect cube  

Trying to factor by pulling out :

3.2      Factoring:  z3+z2+5z-3  

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  5z-3  

Group 2:  z3+z2  

Pull out from each group separately :

Group 1:   (5z-3) • (1)

Group 2:   (z+1) • (z2)

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Given in the question:

The monthly cost (in dollars) of the water use (in dollars) is a linear function of the amount of water used (in hundreds of cubic feet, HCF)

The cost for using 17 HCF of water is using $32.13

and, the cost of using 35 HCF is $61.83.

To find the cost of using 19 HCF of water.

Now, According to the question:

The cost for using 17 HCF of water is  $32.13

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To find the slope:

(17, 32.13) and (35, 61.83)

Slope = (61.83 - 32.13)/ (35 - 17) = 1.65

We know that:

Formula of slope :

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b = 1.14

The equation will be :

C(x) = 1.65x + 1.14

Now, To find the cost of using 19 HCF of water.

C(19) = 1.65 × 19  + 1.14

C(19) = $32.49

Hence,  the cost of using 19 HCF of water is $32.49.

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