Hello! And thank you for your question!
For this problem we can use the FOIL method/distributive method.
Rewrite the equation to:
(4g³) + (-1)(3g) + (-10)
Then solve:
(4g³) times (3g¹) = 12g⁴
(4g³) times (-10) = -40g³
(-1) times (3g) = -3g
(-1) times (-10) = 10
Final Answer:
12g⁴ - 40g³ - 3g + 10
Area of the triangle = (1/2)*base*height
base = x
height = altitude = x+6
Area of the triangle = (1/2)*x*(x+6) = 108
(1/2)*x*(x+6) = 108
x²+6x-216 =0
(x+18)(x-12)=0
x=-18, or x=12
We can use only positive value, so x=12.
Base =12 cm.
3x+4=-5x-3+15
First combine like terms:
3x+4=-5x+12
Get x on one side:
3x+4=-5x+12
-3x -3x
4=-8x+12
Next get x by itself:
4=8x+12
-12 -12
-8=8x
Now divide one more time to get x by itself since 8x is 8 times x and we must do the opposite (÷).
-8/8=8x/8
-1=x ---> x=1
0.50c, as it's $0.50 per cup and c represents the number of cups sold. When you have a variable (letter like in this case, which is c) you always multiply.
And for 1b you're going to be doing $127.50 divided by $0.50
Let me know if this makes sense
Answer:
B. (2, 3)
General Formulas and Concepts:
<u>Algebra I</u>
- Solving systems of equations using graphing
Step-by-step explanation:
<u>Step 1: Define system</u>
y = x + 1
y = -1/2x + 4
<u>Step 2: Identify Solution</u>
The solution to the systems of equations when graphed will be where the 2 lines intersect. According to the graph, the 2 lines intersect at (2, 3).
