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erastova [34]
3 years ago
12

Solving multi step equations 5/6k + 2/3 = 4/3

Mathematics
1 answer:
Tpy6a [65]3 years ago
5 0

Answer:

k = 4/5

Step-by-step explanation:

First, rewrite 5/6k as (5/6)k; this is "five sixths of the variable k."

Next, identify the LCD.  It is 6.  Then the given equation becomes

5k + 4 = 8

Consolidate the constant terms:  

5k = 4

Solve for k: k = 4/5

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Vesna [10]

Answer:

y = 0.48(x - 0.5)² - 3

y = 0.48(x² - x - 6)

Step-by-step explanation:

From the graph the zeros are

x = {-2, 3}

The x coordinate of the vertex is the midpoint of the roots

x = (-2 + 3) / 2

x = 0.5

The y coordinate of the vertex is

y = -3

vertex = (0.5, -3)

--------------------------------------

Merhod I - vertex

Vertex form is

y = a(x - h)² + k

plug in the vertex

y = a(x - 0.5)² - 3

to find a plug in either root

using x = 3

0 = a(3 - 0.5)² - 3

0 = a(2.5)² - 3

0 = 6.25a - 3

3 = 6.25a

a = 3/6.25

a = 0.48

y = 0.48(x - 0.5)² - 3

-----------------------------

Method II - roots

y = a(x + 2)(x - 3)

-3 = a(0.5 + 2)(0.5 - 3)

-3 = a(2.5)(-2.5)

-3 = -6.25a

3/6.25 = a

0.48 = a

y = 0.48(x + 2)(x - 3)

Expand

y = 0.48(x² - x - 6)

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