Answer:
.003
Step-by-step explanation:
3 is in the thousandths place 3 spots to the right of the decimal
Given:
The graph of a quadratic function passes through the points (5,31) (3,11) (0,11).
To find:
The equation of the quadratic function.
Solution:
A quadratic function is defined as:
...(i)
It is passes through the point (0,11). So, substitute
in (i).


Putting
in (i), we get
...(ii)
The quadratic function passes through the point (5,31). So, substitute
in (ii).

Divide both sides by 5.
...(iii)
The quadratic function passes through the point (3,11). So, substitute
in (ii).
Divide both sides by 3.
...(iv)
Subtracting (iv) from (iii), we get




Putting
in (iv), we get



Putting
in (ii), we get
Therefore, the required quadratic equation is
.
Answer: He bought about 6 sodas.
Step-by-step explanation:
Given: Tota cost of tickets = $ 78
Cost of each soda = $4.25
Total cost of sodas and tickets = 102.50
Let x = Number of sodas purchased
Then

Hence, he bought about 6 sodas.
I'm assuminng you want to find x and y
eliminate
hmm
eliminate y's
3 times 2=6
multiply first equation by 2 and 2nd by 3 and add
16x-6y=-32
<u>15x+6y=-123 +</u>
31x+0y=155
31x=155
divide both sides by 31
x=5
sub back
5x+2y=-41
5(5)+2y=-41
25+2y=-41
minus 25 both sides
2y=-66
divide by 2
y=-33
(x,y)
(5,-33)