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Yanka [14]
2 years ago
12

John is solving x^2 + 4x + 8=0 by completing the square. Which step would be part of John's solution.?

Mathematics
1 answer:
SOVA2 [1]2 years ago
3 0

Answer:

(x + 2) ^{2}  =  - 8

Step-by-step explanation:

{x}^{2}  + 4x + 8 = 0 \\  {x }^{2}  + 4x =  - 8 \\  {x}^{2}  + 4x + 4 =  - 8   + 4 \\ ( x + 2)^{2}  =  - 4

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Answer:

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White raven [17]

Let

t--------> the time in hours

d-------> the distance in miles

we know that

d=16t

this is a linear equation that represent the scenario

in this equation the independent variable is the time t and the dependent variable is the distance d

The distance's equation in function notation is equal to

f(t)=16t

Using a graph tool

see the attached figure

The domain of the function is the interval----------> [0,∞)

t\geq0

The range of the function is the interval------->  [0,∞)

f(t)\geq0

<u>Statements</u>

<u>a) The independent variable, the input, is the variable d, representing distance</u>

The statement is false

Because the  independent variable is the variable t

<u>b) The distance traveled depends on the amount of time Marlene rides her bike</u>

The statement is true

Because the distance's equation in function notation is equal to

f(t)=16t

<u>c) The initial value of the scenario is 16 miles per hour</u>

The statement is false

Because 16 represent the rate or  the slope of the linear equation

<u>d) The equation t = d + 16 represents the scenario</u>

The statement is false

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<u>e) The function f(t) = 16t represents the scenario</u>

The statement is true

8 0
3 years ago
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