Answer:
y = -16
Step-by-step explanation:
f(x)=3/4x+12 (replace f(x) with y)
y =3/4x+12 (rearrange to express x in terms of y)
y - 12=3/4 x
3/4 x = y - 12
3x = 4(y - 12)
x = (4/3)(y - 12)
x = (4/3)y - (4/3)(12)
x = (4/3)y - 16
(y) = (4/3)y - 16
(x) = (4/3)x - 16
comparing to general form
y = mx + b where b is the y-intercept
b = -16
Hence the y-intercept is y = -16
Answer:
2625 kJ
Step-by-step explanation:
We assume the energy is proportional to the volume:
energy/volume = 1050 kJ/(500 mL) = E/(1250 mL)
Multiply by 1250 mL:
E = (1250/500)(1050 kJ) = 2625 kJ
The number of kJ in 1.25 L of Lemon Squash is 2625 kJ.
Answer:
The answer is 2000 g
Step-by-step explanation:
We use the following equivalence:
1 kg-------1000g
2kg----- X = (2kgx1000g)/1kg= 2000g
Answer:
Step-by-step explanation:
Let h represent the number of hours of babysitting.
C represents the total cost of babysitting for h hours.
For babysitting, Nicole charges a flat fee of $3, plus $5 per hour. Therefore, the equation would be
C = 5h + 3
Comparing the equation with the slope intercept form, y = mx + c,
The slope = 5
The y intercept = 3
If she babysits for 5 hours, the cost would bee
C = 5 × 5 + 3
C = $28