The definition of the piece-wise function is:
.
<h3>What is a piece-wise function?</h3>
A piece-wise function is a function that has different definitions, depending on the input.
In this problem, for inputs between -2 and 2, the function is a line that goes through (-2,-4) and (2,6). The slope is:
m = (6 - (-4))/(2 - (-2)) = 2.5.
The y-intercept is of b = 1, hence the rule is:
For x greater than 2 and less than 6, the function is constant at -3, hence the rule is:
.
More can be learned about piece-wise functions at brainly.com/question/27262465
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Answer:
See below
Step-by-step explanation:
- Initial Principal P₀ = 1000
- End of first period = 1000 + 1000*0.02/4 = 1005
- End of second period = 1005 + 1000*0.02/4 = 1010
- End of third period = 1010 + 1000*0.02/4 = 1015
- End of fourth period = 1015 + 1000*0.02/4 = 1020
BD = 2 AE
10 x + 2 = 2 * ( 3 x + 5 )
10 x + 2 = 6 x + 10
10 x - 6 x = 10 - 2
4 x = 8
x = 8 : 4
x = 2
And the line AC is equal to BD.
AC = 10 * 2 + 2 = 20 + 2 = 22
Answer:
3. 22
Answer:
On an average, the shop 1 has a lighter variety of laptops.
False
If you buy a laptop of 10 pounds, then it's more likely that you bought the laptop from shop 1.
False
Shop 2 has more laptops with a weight less than the average weight than does Shop 1.
True
Answer:
A 2
Step-by-step explanation:
When we divide x by 9 there is some whole number we will call y plus a remainder of 4
x/9 = y remainder 4
Writing this in fraction form
x/9 = y + 4/9
Multiplying each side by 9
9*x/9 = 9* y + 4/9 *9
x = 9y +4
Multiply each side by 2
2x = 2*(9y+4)
2x = 18y +8
Add 3 to each side
2x+3 = 18y +8+3
2x+3 = 18y +11
Divide each side by 9
(2x+3)/9 = 18y/9 +11/9
= 2y + 9/9 +2/9
=(2y+1 + 2/9)
We know y is a whole number and 1 is a whole number so we can ignore 2y +1 when looking for a remainder)
2/9 is a fraction
Taking this back from fraction form to remainder from
(2y+1) remainder 2
