ANSWER:
Both functions have the same slope
The linear equation does not have a y-intercept
The table and the grahp express an equivalent function
STEP-BY-STEP EXPLANATION:
In order to compare, we must calculate the slope of the table, knowing that the equation in its slope and intercept form is the following:
The formula to calculate the slope is the following:
The points are (-6, -9/2) and (4,3), replacing:
The slope is 3/4
Now, for b
x = 4
y = 3
m = 3/4
replacing:
The equation is:
Therefore, the true statements are:
• Both functions have the same slope
,
• The linear equation does not have a y-intercept
,
• The table and the grahp express an equivalent function
<span>f(x) = x</span>² <span>+ 12x + 6 </span>→ y = x² + 12x + 6<span>
Let us convert the standard form into vertex form.
1) Complete the squares. Isolate x</span>² and x terms.
<span>y - 6 = x</span>² + 12x
<span>
2) Create the perfect square trinomial. Whatever number is added on one side must also be added on the other side.
y - 6 + 36 = x</span>² + 12x + 36<span>
y + 30 = (x + 6)</span>²
<span>y = (x + 6)</span>² - 30 ← Vertex form
<span>
To check:
y = (x + 6) (x + 6) - 30
y = x</span>² + 6x + 6x + 36 - 30
<span>y = x</span>² + 12x + 6<span>
The zero that could be added to the given function is 36, -36</span>
16/4 which could be simplified to be the whole number 4
Answer:
38.56
Step-by-step explanation:
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