Answer:
k = 11
Step-by-step explanation:
f(x)=3x+k,
We know the input is -1 so replace x with -1 and the output is 8 so replace f(x) with 9
8 = 3(-1) +k
8 = -3+k
Add 3 to each side
8+3 = -3+3+k
11= k
Answer:The first one is 2.333333333
Step-by-step explanation:Simplifying
5(2 + -1j) + (2j + -3) = 0
(2 * 5 + -1j * 5) + (2j + -3) = 0
(10 + -5j) + (2j + -3) = 0
Reorder the terms:
10 + -5j + (-3 + 2j) = 0
Remove parenthesis around (-3 + 2j)
10 + -5j + -3 + 2j = 0
Reorder the terms:
10 + -3 + -5j + 2j = 0
Combine like terms: 10 + -3 = 7
7 + -5j + 2j = 0
Combine like terms: -5j + 2j = -3j
7 + -3j = 0
Solving
7 + -3j = 0
Solving for variable 'j'.
Move all terms containing j to the left, all other terms to the right.
Add '-7' to each side of the equation.
7 + -7 + -3j = 0 + -7
Combine like terms: 7 + -7 = 0
0 + -3j = 0 + -7
-3j = 0 + -7
Combine like terms: 0 + -7 = -7
-3j = -7
Divide each side by '-3'.
j = 2.333333333
Simplifying
j = 2.333333333
Answer:
a) 9 slices
b) 56.25%
Step-by-step explanation:
a) 16 pieces - 4 = 12
12 pieces - 3 = 9
b) 100% - 25 = 75%
75% - 8.75 = 56.25%
brainliest would be nice