Answer:
f(-4) = 5
Step-by-step explanation:
Explanation of
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| 5, x < -3
f(x) | 2x² - 4, -3 ≤ x ≤ 4
| 1 - 6x , x > 4
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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
1/2 if you are going from A to B but if you are going to B to A it would be 2
The hanger diagram ideally should be in balance with all the shapes hung on it.
On the left side, it shows that the circles are 9 grams and the squares are 12 grams. The triangles are 2t grams. Therefore, on the left side we have,
9 + 12 + 2t
On the right side, it shows the circles are 6 grams and the squares are 6 grams, while the triangles are 5t grams. Therefore on the right side we have
6 + 6 + 5t.
For the hanger to be in balance, we should have
Using google translate:
When photocopying a credential, it is first enlarged to triple and subsequently the resulting copy is halved. What is the final effect on the original credential? If the credentials is a rectangle of 10 by 6 cm. What area will you have in the first photocopy? And in the second?
Original: 10 by 6 cm ; Area = length * width = 10 x 6 = 60 cm²
first copy: enlarged to triple
10 x 3 = 30
6 x 3 = 18
30 x 18 = 540 cm²
second copy: halved
30 x 1/2 = 15
18 x 1/2 = 9
15 x 9 = 135 cm²
90 x 0.4 = 36
90 - 36 = 54
The sale price is $54
