Answer:
15.
16. 10 ml of 20% saline and 40 ml of 10% saline
Step-by-step explanation:
A chemist takes x ml of 20% saline and y ml of 10% saline. In total, he takes
x + y ml that is 50 ml, so
There are ml of salt in x ml of 20% saline and ml of salt in 10% saline. There are ml of salt in 50 ml of 12% saline. Thus,
15. We get the system of two equations:
16. Solve this system. From the first equation:
Substitute it into the second equation:
Here we are given the x intercepts at x=3 and x=9
So let us try to make quadratic equation for this using given information.
We have factors in the form (x-a)(x-b)
where a and b are x intercepts given to us.
So rewriting in factored form:
Now let us simplify it:
Let us find the vertex now,
For a quadratic equation of the form:
For x coordinate , we have the formula,
So using this formula for our equation,
So x = 6
Answer: The x-coordinate of the parabola's vertex is 6.
Original - 4000x
<span>so, after 3 years we have: </span>
<span>Original - 12000 = 18000 </span>
<span>=> Original = $30,000 </span>
The standard form of an equation is
In the question, we have the following formula
To get the formula in standard form, we first have to subtract 2y from both sides (since we need to get 2y on the left side)
Finally we subtract 1 from both sides (since we need the number on the right side)
Hence, 4. is the correct answer.
Answer:
x = 7/9
Step-by-step explanation: