You would solve this with simultaneous equations, so if we write it as:
5n + 2p = 9
3n + 2p = 6
(subtract)
2n = 3
÷ 2
notebooks = 1.5
Now you would substitute it in:
(3 × 1.5) + 2p = 6
4.5 + 2p = 6
- 4.5
2p = 1.5
÷ 2
pens = 0.75
So your final answer is notebooks are $1.50 and pens are $0.75, I hope this helps!
Answer:
First parabola's vertex is (-2,2), which is a minimum.
Second parabola's vertex is (3,2), which is a maximum.
Step-by-step explanation:
Simply, a vertex of a quadratic is a graph's turning point.
The maximum and minimum can be identified by seeing if the graph curves up or down.
Maximum occurs when your graph is facing down.
Minimum occurs when your graph is facing up.
48 feet
Divide 858 by 18 to get 47.6 > simplify > 48 feet
the solution is here,
the coordinate of centre of circle A is (3,2)
and the coordinate of centre of circle B is (3,0).
so the translation point from A to B is (3-0,0-2)=(3,-2).
Now the translation rule is given by (x+h,y+k)
where h is the tranalation anlong the x-axis and k is the translation along the y-axis.
For this problem, translation ruleis (x+3,y-2).
Then, radius of circle A(r1)=2 units
radius of circle B (r2)= 3 units
as the circle A is translated to B, the scale factor is
r2/r1=3/2=1.5
In conclusion, the translation rule for given circles is (x+3,y-2) and its scale factor is 1.5
She will use 13 there are four 1/4 per cup 4 times 3 plus 1 =13
