Answer:
3(x-2)+x=4x+6
Step-by-step explanation:
case 1) we have
3(x-2)+x=4x-6
Solve for x
3x-6+x=4x-6
4x-6=4x-6
0=0 ----> is true for any value of x
therefore
The equation has infinite solutions
case 2) we have
3(x-2)+x=2x-6
3x-6+x=2x-6
4x-2x=-6+6
2x=0
x=0
case 3) we have
3(x-2)+x=3x-3
3x-6+x=3x-3
4x-3x=-3+6
x=3
case 4) we have
3(x-2)+x=4x+6
3x-6+x=4x+6
4x-4x=6+6
0=12 ------> is not true
therefore
The equation has no solution
Answer:
True
Step-by-step explanation:
As modern science has advanced we're able to learn more about what makes up matter. Hope this helps :)
A recipe calls for 1 1/2 cups of flour, 3/4 cup of white sugar, and 1/3 cup of brown sugar. The recipe makes 6 servings
A) How many cups of flour are there in 6 servings? 1 1/2 cups
How many cups of flour are there per serving? Show your work. (2 pts)
1 1/2 ÷ 6 = 3/2 x 1/6 = 3/12 = 1/4 cups for 1 serving
b) How many total cups or sugar (white and brown) are there in 6 servings?
3/4 + 1/3 = 9/12 + 4/12 = 13/12 = 1 1/12
How many cups of sugar are there per serving? Show your work. (2 pts)
1 1/12 ÷ 6 = 13/12 x 1/6 = 13/72 cups of white and brown sugar
c) Suppose you modify the recipe so that it makes 8 servings. How much more flour do you need if you already have enough for 6 servings. Show your work. (2 pts)
Flour for 6 servings = 1 1/2 cups
Flour for 1 serving = 1/4 cups
Flour for 8 servings = 1/4 x 8/1 = 8/4 = 2 cups for 8 servings
Answer:
(-5,2)
Step-by-step explanation:
It alogns with negative 5 on the X axis, and positive 2 on the Y axis, meaning its written as (-5,2)
