Answer:
The value of k is -2
Step-by-step explanation:
The cut point with the y axis for both graphs occurs when x = 0
We then have:
For f (x):
The cut point for the y axis is:
For g (x):
The cut point with the y axis is:
The value of k is given by the vertical displacement of graph k units.
We then have:
Let's clear k:
I know that this is not the answer you are looking for but maybe you can use the step-by-step explanation to figure it out
Answer:
There is not enough information to answer, you did not say measurements of both drinks.
Step-by-step explanation:
Answer for number 4 is 
hour.
Step-by-step explanation:
Maximum hour spent for all homework (English homework + math homework) is 2 hours.
Let us assume the hours spent for English homework be 'e'.
It is given that:
(Hours spent for math homework) = 2 × (Hours spent for English homework)
Hours spent for math homework = 2 × e = 2e
Total hours spent = (Hours spent for math homework) + (Hours spent for English homework)
Total hours spent = 2e + e = 3e
2 = 3e
3e = 2
∴ e =
Therefore number of hours spent on English homework is equal to hours.
2 angles are complementary if the sum of their measures is 90°.
For example if m(P) = 41° and m(Q)=49°, then P and Q are complementary.
Thus A and B are complementary means that m(A)=m(B)=90°:
(3x+5°) + (2x-15°) =90°
5x-10°=90°
5x=100°
x=20°
Thus
m(A)=3x+5°=3* 20°+5°=60°+5°=65°
m(B)=2x-15°=2*20°-15°=40°-15°=25°
B=bellt price
j=jacket price
b+j=82.78
belt is 0.86 less than jacket
b=j-0.86
add 0.86 to both sides
b+0.86=j
sub
b+b+0.86=82.78
2b+0.86=82.78
minus 0.86 from both sides
2b=81.92
divid both sides by 2
b=40.96
belt=$40.96
