Answer:
Step-by-step explanation:
For a. you are asked to evaluate f(0). This is a piecewise function with different domains for each piece of the function. You can only evaluate f(0) in the function that has a domain that allows 0 in it. In the first domain, it says
x < -3. 0 is not less than -3, so 0 is not in that domain, so you will not use that "piece" of the function to evaluate f(0).
In the next domain, it says that x is greater than or equal to -3 and less than 0. Again, 0 is not included in that domain, so we can't use that "piece" of the function to evaluate f(0).
The last domain says that x is greater than OR EQUAL TO 0, so this is where we evaluate f(0):
f(0) = -0 - 4 so
f(0) = -4
When we want to evaluate f(2), we follow the same rules. Find the piece of the function that allows 2 in its domain. That's the middle piece:
f(2) = 2(2) - 6 so
f(2) = -2
Answer:
- <u>The number of groups in 3 is 4 groups.</u>
- <u>The number of groups in 5 is 7 groups.</u>
Step-by-step explanation:
Let the number of groups in 3 ⇒ x
Let the number of groups in 5 ⇒ y
There are 11 groups. ⇒ x + y = 11 →(1)
There are 47 people. ⇒ 3x + 5y = 47 →(2)
Solve (1) and (2) to get x and y.
From (1) ⇒ y = 11 - x →(3)
By substitution from (3) at (2) with y
∴ 3x + 5(11-x) = 47
3x + 55 - 5x = 47
-2x = 47 - 55 = -8
∴ x = -8/-2 = 4
∴ y = 11 - x = 11 - 4 = 7
So, the number of groups in 3 is 4 groups.
the number of groups in 5 is 7 groups.
Answer:
- x -3
This is my answer and I guranteed you it is correct
(2, -6)
Step-by-step explanation:
y = -2 - 2x
5x + 3 (-2-2x) = - 8
5x - 6 - 6x = - 8
-x - 6 = 8
- 6 + 8 = x
2 = x
x = 2
y = -2 -2x
y = -2 -2(2)
y = -2 -4
y = -6
(x, y) = (2, -6)
26 because it’s a supplementary angle. d measures 52 degrees and 52/2 is 26.
