Answer:
f(-4) = 5
Step-by-step explanation:
Explanation of
_
| 5, x < -3
f(x) | 2x² - 4, -3 ≤ x ≤ 4
| 1 - 6x , x > 4
_
When the x in f(x) is less than -3 than f(x) = 5
When the x in f(x) is greater than -3 but less than 4 then f(x) = 2x² - 4
When the x in f(x) is greater than 4 than f(x) = 1 - 6x
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Now that we know this lets look back at the question.
We want to find f(-4).
Looking at the piece wise function we see that f(-4) follow x < -3 as "x" or -4 is less than -3. When x is less than -3, f(x) = 5, hence f(-4) = 5
Answer:
A: H0: p = 0.27; Ha: p > 0.27
Step-by-step explanation:
The parameter is the population proportion.
According to the survey conducted by the American Academy of Periodontology, the proportion of of US adults who admit they lie to their dentist about how often they floss their teeth is 27%.
This means the null hypothesis is :

Periodontist Dr. Garcia believes that the percentage seems low, so his claim is that the percentage should be more than 27%.
This means, the alternate hypothesis is

Therefore the correct choice is A.
Answer:
T(2, -1)
T(1, 2)
Step-by-step explanation:
From (3, 2) to (5, 1), the translation is T(2, -1). x goes up by 2. y goes down by 1.
From (5, 1) to (6, 3), the translation is T(1, 2). x goes up by 1. y goes up by 2.
Answer:
total: 3x + 7
Step-by-step explanation:
Nancy = x
Bill = 2x + 7
together = 3x + 7
Answer:
Center = (5,-3) radius = sqrt (36) = 6
Step-by-step explanation: