Answer:
case a) 
----> open up
case b) 
----> open down
case c) 
----> open left
case d) 
----> open right
Step-by-step explanation:
we know that
1) The general equation of a vertical parabola is equal to
where
a is a coefficient
(h,k) is the vertex
If a>0 ----> the parabola open upward and the vertex is a minimum
If a<0 ----> the parabola open downward and the vertex is a maximum
2) The general equation of a horizontal parabola is equal to
where
a is a coefficient
(h,k) is the vertex
If a>0 ----> the parabola open to the right
If a<0 ----> the parabola open to the left
Verify each case
case a) we have
so
so
therefore
The parabola open up
case b) we have
so
therefore
The parabola open down
case c) we have
so
therefore
The parabola open to the left
case d) we have
so
therefore
The parabola open to the right
3,806,000 is the correct answer.
There are three in the millions place and 806 in the thousands. There are no numbers in the hundreds so you place zeros.
Answer:
There are 40 milliliters of fruit juice in the bottle
Step-by-step explanation:
we know taht
20%=20/100=0.20
To find out the milliliters of fruit juice, multiply the volume of the bottle by the percentage of fruit juice in decimal form
so
therefore
There are 40 milliliters of fruit juice in the bottle
Answer: Mark's sample is more representative.
Step-by-step explanation:
Answer/Step-by-step Explanation:
Given:
a = no. of DVDs
b = no. of CDs
Total cost ($) for DVDs and CDs = 
a. The cost for 1 DVD = 2.5(a) = 2.5(1) = $2.5
The cost for 1 CD = 2(b) = 2(1) = $2
b. Total cost for 4 DVDs and 4 CDs:
Substitute a = 4, and b = 4 into the equation.
Total cost for 4 DVDs and 4 CDs = $18
c. To find out if $20 would be enough to buy 6 DVDs and 3 CDs, substitute a = 6, and b = 3 into the equation. Solve for the total cost to see if it equals $20 or is less than $20. If it's greater than $20, then it won't be enough.
6 DVDs and 3 CDs cost more than $20, therefore, $20 is not enough.
