Answer:
Option C is correct.
roots of the given equation , 
Step-by-step explanation:
Given the equation: 
We can write this equation as:

A quadratic equation is in the form of
......[1] where a,b ,c are the coefficient and x is the variable,
the solution of the equation is given by;

On comparing given equation with equation [1] we get;
a = 3 , b = -4 and c =10
So, the solution of the given equation is given by;

or

or
[∴
Simplify:

therefore, the roots of the given equation are; 
16^(-½) is the same as 1/(16^(½)) which is equal to ¼
If a pharmacist is filling small empty bottles with cough syrup from a larger bottle. The statement that describes the number of small bottles the pharmacist can fill is: A. The pharmacist can fill 30 bottles or fewer.
<h3>
Number of small bottles the pharmacist can fill</h3>
Given:
inequality=1,000-25x ≥250
Let x represent the number of small bottles
Hence:
1,000-25x ≥250
Collect like terms
1,000-250 ≥25x
750 ≥25x
Divide both side by 25x
x=750/25
x=≤30 bottles or fewer
Therefore If a pharmacist is filling small empty bottles with cough syrup from a larger bottle. The statement that describes the number of small bottles the pharmacist can fill is: A. The pharmacist can fill 30 bottles or fewer.
Learn more about Number of small bottles the pharmacist can fill here:brainly.com/question/24246068
#SPJ1
The symbol "<=" without quotes means "less than or equal to"
-6x + 2y <= 42
-6x + 2y + 6x <= 42 + 6x ... Add 6x to both sides
2y <= 6x + 42
2y/2 <= 6x/2 + 42/2 ... divide every term by 2
y <= 3x + 21
So the answer is choice D
Horizontal line is y=, because every point along that horizontal line will have the same y value. So, now look at the point and notice that the y value is 5. So the horizontal line with a y value of 5 is y=5. Thus the answer is f.