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Alja [10]
2 years ago
12

1/3z=-5 solve the equation for the value of the variable show all work

Mathematics
2 answers:
Alexxx [7]2 years ago
6 0

Answer:

z = -15

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtract Property of Equality

Step-by-step explanation:

<u>Step 1: Define</u>

1/3z = -5

<u>Step 2: Solve for </u><em><u>z</u></em>

  1. Multiplication Property of Equality [Multiply both sides by 3]:                     3 · 1/3z = -5 · 3
  2. Simplify [Multiply]:                                                                                          z = -15

<u>Step 3: Check</u>

<em>Plug in z into the original equation to verify it's a solution.</em>

  1. Substitute in <em>z</em>:                    1/3(-15) = -5
  2. Multiply:                               -5 = -5

Here we see that -5 does indeed equal -5.

∴ z = -15 is the solution to the equation.

navik [9.2K]2 years ago
5 0

Answer:

z=-15

Step-by-step explanation:

Multiply both sides by 3:

z=-15

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HELP ASAP : Find the largest value of n such that 5x^2+nx+48 can be factored as the product of two linear factors with integer c
Anna71 [15]

Answer:

n=241

Step-by-step explanation:

We are given

5x^2+nx+48

Let's assume it can be factored as

5x^2+nx+48=(5x-s)(x-r)

now, we can multiply right side

and then we can compare it

5x^2+nx+48=5x^2-5rx-sx+rs

5x^2+nx+48=5x^2-(5r+s)x+rs

now, we can compare coefficients

rs=48

5r+s=-n

n=-(5r+s)

now, we can find all possible factors of 48

and then we can assume possible prime factors of 48

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48=-+(2\times 24)

48=-+(3\times 16)

48=-+(4\times 12)

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Since, we have to find the largest value of n

So, we will get consider larger value of r because of 5r

and because n is negative of 5r+s

so, we will both n and r as negative

So, we can assume

r=-48 and s=-1

so, we get

n=-(5\times -48-1)

n=241


7 0
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