Answer: Focus = (-2, 3)
<u>Step-by-step explanation:</u>
First let's find the vertex. We do that by finding the Axis-Of-Symmetry:
Then finding the maximum by inputting x = -2 into the given equation:
The vertex is: (-2, 4)
Now let's find p, which is the distance from the vertex to the focus:
The vertex is (-2, 4) and p = -1
The focus is (-2, 4 + p) = (-2, 4 - 1) = (-2, 3)
P(red) first drawn:
20/36=5/9
P(red) second drawn:
19/35
95/315 or 19/63. As a result, the probability that both marbles are red is 19/63. Hope it help!
Let the number of goats be 'x'.
Therefore, the number of chicken will be 50-x
Total number of legs the goats will have= 4x (goats have 4 legs)
Total number of legs chickens will have= 2(50-x) (chickens have two legs).
4x + 2(50-x)=140
4x+100-2x=140
2x+100=140
2x=40
x=20.
There are 20 goats and 30 chickens.
Answer:
A. You may set the variables in either order. But for argument sake, let's set as follows:
x = Amount of bookshelves
y = Amount of tables
B. Because of the amount of things you need to make, the following is an inequality using those variables.
x + y > 25
Plus you can determine a second inequality based on the amount of money that you have to spend.
20x + 45y < 675
Finally you may also add in that each value must be greater than or equal to zero, since they cannot have negative tables.
C. By solving the system and looking at basic constraints when graphed, you can see the feasible region has 4 vertices.
(0,0)
(18, 7)
(0, 15)
(33.75, 0) or (33, 0) if you insist on rounding.
Step-by-step explanation: Good luck and hope this helps :)
Answer:
-80
Step-by-step explanation:
→ Complete the multiplication
20 × 8 = 160
→ Complete the take away
3 - 5 = -2
→ Divide the two answers from each other
160 ÷ -2 = -80
