A zero, or a solution of the quadratic function is c) x = 6 1/3
Write -54x as a difference
9x^2 + 3x - 57x - 19
Factor 3x out
{ 9x^2 + 3x } - 57x - 19
3x (3x + 1)
Factor -19 out
3x (3x + 1) -19 (3x + 1)
Group the equations
( 3x - 19 ) ( 3x + 1 )
Solve for the zeroes
(3x+1) = 0
-1 -1
3x = -1
3x / 3 = x
-1 / 3 = -1/3
x = - 1/3
(3x - 19) = 0
+19 +19
3x = 19
3x / 3 = x
19 / 3 = 6 1/3
x = 6 1/3
Answer:
x=40 °
Step-by-step explanation:
The two horizontal beams are parallel and the slanted beams make a traversal
Hence we use the basic properties of a transverse line making with two parallel lines.
please refer to the image attached to this answer.
The two angles described in the figure makes the alternate interior angles and this these two are congruent . Hence
x= 40°
Answer(there are assumptions for this answer that you need to confirm and look at):
Assumptions:
and 
Answer if the operation is multiplication:
If you meant a closed dot which is the symbol for multiplication.


Answer if the operation is composition:
If you meant an open dot which is the symbol for composition.


Note: I don't know if you actually meant
or if
. Please let me know one way or the other.
Step-by-step explanation:
If we assume the functions are:


since multiplication is commutative.






We are asked to find
and
.
The order doesn't matter in multiplication.








Now you might have meant composition which symbolized with an open circle, not a closed one.


since 





since 



Answer:
-7g - 3
Step-by-step explanation:
1.(0 - 3 • (5g + 1)) + 8g
Pull out like factors :
2.-7g - 3 = -1 • (7g + 3)
and your answer is -7g - 3
Answer:
The graph in the attached figure
Step-by-step explanation:
we have a exponential function of the form

where
y ---> is the population of bacteria
x ---> the number of hours
a is the initial value or y-intercept
b is the base of the exponential function
r is the rate of change
b=(1+r)
we have


so

substitute

For x=20 hours
substitute in the equation and solve for y
