Answer:
y = (-3/2)x + 7
Step-by-step explanation:
3x + 2y = -4 (rearrange to slope intercept form y = mx + b)
2y = -3x - 4
y = (-3/2) x - 2
comparing this to the general form of a linear equation : y = mx + b
we see that slope of this line (and every line that is parallel to this line),
m = -3/2
if we sub this back in to the general form, we get:
y = (-3/2)x + b
We are still missing the value of b. To find this, we are given that the point (4,1) lies on the line. We simply substitute this back into the equation and solve for b.
1 = (-3/2)4 + b
1 = -6 + b
b = 7
substituting this back into the equation:
y = (-3/2)x + 7
Answer:
I may not be correct, depending on what you were taught, but it would be...
17/30
Step-by-step explanation:
(2/5×6/6)+(1/6×5/5)
12/30 + 5/30
17/30
keep in mind you don't add the denominators at all ( the numbers at the bottom half of the fraction)
Answer: the fixed cost to rent the limousine is $200
Step-by-step explanation:
Let x represent the fixed cost rent the limousine.
Let y represent the cost of of hiring the driver of the limousine per hour.
It cost $500 to rent a limousine for 5 hours. This means that
x + 5y = 500 - - - - - - - - - - -1
It costs 800 to rent a limousine for 10 hours. This means that
x + 10y = 800 - - - - - - - - - - -2
Subtracting equation 2 from equation 1, it becomes
- 5y = - 300
y = - 300 /- 5
y = 60
Substituting y = 60 into equation 1, it becomes
x + 5 × 60 = 500
x + 300 = 500
x = 500 - 300
x = 200
Answer:
Power of a Quotient.
explanation: The Power of a Quotient Rule states that the power of a quotient is equal to the quotient obtained when the numerator and denominator are each raised to the indicated power separately, before the division is performed.
Answer: Onion = 79.17 kg
Grilled steak = 538.356 kg
Step-by-step explanation:
Hi, to answer this question we have to write an equation with the information given:
1 k + 6.8 k = 617.6
Where “k” is a constant value, a multiplier.
Solving for k:
7.8 k = 617.6
k = 617.6 /7.8
k= 79.17
So:
Amount of onion used:
1 (79.17) = 79.17 kg
Amount of grilled steak used:
6.8 (79.17) = 538.356 kg
Feel free to ask for more if needed or if you did not understand something.
