Answer:
a) one solution(x = 9)
b) no solution
c) infinite solutions
Step-by-step explanation:
a) To solve this equation, we can add 4 on both sides in order to isolate x:
x - 4 =5
+ 4 + 4
x = 9
Since x equals 9, that counts as only one solution, as there is only one value of x that makes the equation true.
b) We start by subtracting 2x from both sides to combine the variable terms:
2x - 6 = 2x + 5
-2x -2x
-6 = 5
The statement, -6 = 5 is never true and it is not dependent on the value of x. This means there are no solutions to this equation.
c) We can start by subtracting 3x from both sides to combine the terms with x:
3x + 12 = 3x + 12
-3x -3x
12 = 12
The statement above is always true, and no matter the value of x, it will always be true. This means there are infinite solutions to the equation.
Answer:
- 3
- 7
- 7
Step-by-step explanation:
1. In 2 draws, you can get one of each, so a minimum of 3 draws will guarantee at least 2 of one color.
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2. A minimum of 3 socks must be drawn to ensure one pair. A minimum of 2 must be drawn to ensure an additional pair. For three pairs, 7 socks must be drawn.
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3. The first 5 balls drawn could be white, so an additional 2 must be drawn to ensure 2 red balls. To be sure of 2 red balls, 7 balls must be drawn.
Answer: Four-thirdsπ(6)³
Step-by-step explanation: The formula for the volume of a sphere is attached in the image down below.
Notice that two of the options listed have <em>three-fourths</em> but we use <em>four-thirds </em>to find the volume of a sphere. This means that we can eliminate the 1st and the 3rd option.
Now, we will multiply that by π and then by the radius cubed which is also written as 6³. This means that our answer would be the second option.
