Answer:
A. No real solution
B. 5 and -1.5
C. 5.5
Step-by-step explanation:
The quadratic formula is:
, with a being the x² term, b being the x term, and c being the constant.
Let's solve for a.
We can't take the square root of a negative number, so A has no real solution.
Let's do B now.
So B has two solutions of 5 and -1.5.
Now to C!
So c has one solution: 5.5
Hope this helped (and I'm sorry I'm late!)
Step-by-step explanation:
If she is able to achieve her aim, then the robot is very efficient, as it uses as low as 49 joules in filtering 343 litres of air and water.
It will now be a question of what time the robot is able to achieve this feat, if it is able to do it in a time that matches the quality of the work it does, then it will be reasonable to call the robot efficient, and fast too.
Answer:
x = -2
Step-by-step explanation:
5x + 2(x - 4) = 5x + x - 10
First, we need to to multiply out the parathesis in the equation:
5x + 2(x - 4) = 5x + x - 10
5x + 2x - 8 = 5x + x - 10
Next, we can combine "like terms" to simplify the equation further:
5x + 2x - 8 = 5x + x - 10
7x - 8 = 6x - 10
Now we can isolate the variable "x" to one side:
7x - 8 = 6x - 10
x - 8 = -10
x = -2
To check our work, we can replace x with -2 in our original equation:
5x + 2(x - 4) = 5x + x - 10
5(-2) + 2 (-2 - 4) = 5(-2) + -2 - 10
-10 + 2 (-6) = -10 -2 - 10
-22 = -22
I hope this helps!
-TheBusinessMan
A chemist plans to mix 10 liters of a 40% acid solution with some 70% to obtain a 50% solution
40% = 0.4
70% = 0.7
50% = 0.5
A chemist plans to mix 10 liters of a 40%. So 10 times of 0.4 = 4
Let x be the some amount of solution of 70%
70% of x = 0.7x
chemist obtain a 50% of solution
Amount of mixture is 10 + x
So 10+x of 50% = (10+x)*0.5
Now we frame an equation
10 * 0.4 + x * 0.7 = (10+x) * 0.5
4 + 0.7x = 5 + 0.5x
Subtract 4 and 0.5x on both sides
0.2 x= 1
Divide by 0.2
So x= 5
5 liters of 70% of solution is used.
That's a long problem for five points.
