The graph first represents the provided piecewise function option first is correct.
<h3>What is a piecewise function?</h3>
The graph of a piecewise function contains numerous curve components. It signifies that it has a plethora of definitions based on the value of the input. In other words, a piecewise function behaves differently depending on the input.
We have a piecewise function shown in the picture.
After plotting all the pieces of a function on the coordinate plane we will get a graph the same as shown in the first option.
Thus, the graph first represents the provided piecewise function option first is correct.
Learn more about the piecewise function here:
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Answer: D. 96
Step-by-step explanation:
1/2 (82 + 110)
1/2 (192) = 96
9514 1404 393
Answer:
3.8 = 38/10 = 19/5
Step-by-step explanation:
You can always represent a terminating decimal number as the ratio of integers. Count the number of decimal places, and multiply and divide it by 10 to that power. If you like, you can reduce the resulting fraction. 3.8 has 1 decimal place, so our chosen power of 10 is 10¹.
3.8 = (3.8×10¹)/(10¹) = 38/10 = 19/5
Answer:
-4x - 3.
Step-by-step explanation:
f(x) = -4x + 5.
f(x + 2) = -4(x + 2) + 5
= -4x - 8 + 5
= -4x - 3.
Hope this helps!
Answer:
a² - 14a - 15 = 0 (quadratic equation)
Emily's age = 15 years
Tuli's age = 15 - 10 = 5 years
Step-by-step explanation:
let
Emily age = a
Tuli age = a - 10
Two years ago their ages will be as follows.
Emily's age = a - 2
Tuli's age = a - 10 - 2 = a - 12
The product of their ages 2 years ago is 39.
(a - 2)(a - 12) = 39
a² - 12a - 2a + 24 - 39 = 0
a² - 14a - 15 = 0 (quadratic equation)
To get a
a² + a - 15a - 15 = 0
a(a + 1) - 15(a + 1)
(a + 1)(a - 15)
a = -1 or 15
we can only use 15 as it is positive.
