Answer:
The value that will create an equation with no solutions is 5x.
Step-by-step explanation:
No solution would mean that there is no answer to the equation. It is impossible for the equation to be true no matter what value we assign to the variable.
To create a no solution equation, we can need to create a mathematical statement that is always false. To do this, we need the variables on both sides of the equation to cancel each other out and have the remaining values to not be equal.
Use distributive property on the left side first.
![3(x - 4) = [blank] - 2x +7\\\\3x-12=5x - 2x +7\\\\3x-12=3x+7\\\\3x-12+12=3x+7+12\\\\3x=3x+19\\\\3x-3x=3x+19-3x\\\\0=19](https://tex.z-dn.net/?f=3%28x%20-%204%29%20%3D%20%5Bblank%5D%20-%202x%20%2B7%5C%5C%5C%5C3x-12%3D5x%20-%202x%20%2B7%5C%5C%5C%5C3x-12%3D3x%2B7%5C%5C%5C%5C3x-12%2B12%3D3x%2B7%2B12%5C%5C%5C%5C3x%3D3x%2B19%5C%5C%5C%5C3x-3x%3D3x%2B19-3x%5C%5C%5C%5C0%3D19)
Notice that we combined like terms first and then eliminated the variable from one side. When that happened, the variable on the other side was eliminated as well, giving us a false result.
Since zero does not equal nineteen, we know we have an equation with no solution.
Answer:
Part A, one solution
Part B, x=3
Step-by-step explanation:
divide both sides of the equation by 7 (5x-13=2)
move the constant to the right hand side and change its sign (5x=2+13)
add numbers (5x=15)
divide both sides of the equation by 5 (x=3)
hope this helps, have a good day
9 packets.
36 divided by 3 = 12
49 divided by 5 = 9.8
76 divided by 7 = 10.8
Maximum packets that can be obtained is 9 packets because only 9 packets with 5 green beads each can be packaged.
Answer:
-
Step-by-step explanation:
A root with square root or under root is only obtained when we take the square root of both sides. Remember that when we take a square root, there are two possible answers:
- One answer with positive square root
- One answer with negative square root
For example, for the equation:
If we take the square root of both sides, the answers will be:
Only getting one solution with square root is not possible. Solutions with square root always occur in pairs.
For given case, the roots are 6 and . Therefore, the 3rd root of the polynomial function f(x) had to be -
It seems you made error while writing option B, it should be - square root of 5.
Answer: 178 4/5 or as an improper fraction 894/5
Hope this helps!
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