Answer:
Step-by-step explanation:
Question 1
The point-slope formula for a straight line is
y – y₁ = m(x – x₁)
x₁ = 3; y₁ = -5; m = -4
Substitute the values
The diagram shows the graph of equation 1 (red) with slope -4 passing through (3,-5).
Question 2
x₁ = -1; y₁ = 8; m = 1
Substitute the values
The diagram shows the graph of equation 2 (green) with slope 1 passing through (-1,8).
Answer:4x^2+22x-12
Step-by-step explanation:
height=(2x+12)
base=(4x-2)
Area of =(base x height)/2
Area of =((4x-2)(2x+12))/2
Area of =(8x^2+48x-4x-24)/2
Area of =(8x^2+44x-24)/2
Area of =4x^2+22x-12
Answer:
true
Step-by-step explanation:
The correct statement is:
A gallon of Moo Milk costs $5.12 What is the price, in dollars, of an 8 ounce glass of Moo Milk? There are 128 ounces in 1 gallon.
Solution:
Cost of 1 gallon of Moo Milk = $ 5.12
1 gallon = 128 ounces, so we can write:
Cost of 128 ounces of Moo Milk = $ 5.12
Cost of 1 ounce of Moo Milk = $ 5.12/128 = $ 0.04
Cost of 8 ounces of Moo Milk = $ 0.04 x 8 = $ 0.32
Thus, 8 ounces of Moo Milk will cost $ 0.32
Answer: 2 buses and 4 vans would be needed
Step-by-step explanation:
Let x represent the number of buses that would be needed.
Let y represent the number of vans that would be needed.
There will be six drivers, and two different types of vehicles. This means that
x + y = 6
142 students are going on a field trip. A bus can hold 51 people while a van can hold 10. This means that
51x + 10y = 142 - - - - - - - - - - - 1
Substituting x = 6 - y into equation 1, it becomes
51(6 - y) + 10y = 142
306 - 51y + 10y = 142
- 51y + 10y = 142 - 306
- 41y = - 164
y = - 164/ - 41
y = 4
x = 6 - y = 6 - 4
x = 2
