Answer: Choice B) y = (x+4)^2 - 1
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Reasoning:
The vertex is (h,k) = (-4,-1) so h = -4 and k = -1
In each answer choice, a = 1.
Plug a = 1, h = -4 and k = -1 into the equation below and simplify
y = a(x-h)^2 + k
y = 1(x-(-4))^2 + (-1)
y = (x+4)^2 - 1
Answer: 5 nights
Step-by-step explanation: Mr. Gareth's Entertainments has a one time fee of $5.00, then charges $0.50 per night for a game, while Ben's Video shack charges $1.50 to rent a video game for a night. We can set up equations for both places. We can let x = the amount of nights the game is being rented for. Mr. Gareth's Entertainments = $0.50x + $5.00 because $0.50 is being charged every night and $5.00 was charged only once. Ben's Video shack = $1.50x. We can make the equations equal to eachother, so $1.50x = $0.50x + $5.00
We can subtract by $0.50x both sides to make it so only one side will have x. This will make the equation easier to solve. By subtracting $0.50x from both sides, we get $1.00x = $5.00. Since we made x = the amount of nights the game is being renmted for, we know x = 5, so it would take 5 nights.
We can double check. $1.50 * 5 = $7.50
$0.50 * 5 = $2.50
$2.50 + $5 = $7.50
<h3>
Answer: 3.67 centimeters approximately</h3>
Use the law of sines to get this answer
b/sin(B) = c/sin(C)
c/sin(C) = b/sin(B)
c/sin(60) = 3/sin(45)
c = sin(60)*( 3/sin(45) )
c = 3.6742346 approximately
c = 3.67 rounding to nearest hundredth
Make sure your calculator is in degree mode.
Answer:
$1.75
Step-by-step explanation:
1 pound of carrot and 1.5 pounds of squash cost $7.00.
1c + 1.5s = 7 ----------------- [ 1 ]
4.5 pounds of carrot and 1.75 pound of squash cost $14.00.
4.5c + 1.75s = 14 ----------------- [ 2 ]
<u>[ 1 ] x 4.5:</u>
4.5c + 6.75s = 31.5 ----------------- [ 1a ]
<u>[1a] - [2]:</u>
5s = 17.5
s = $3.50
<u>Sub s = 3.5 into [ 1 ]:</u>
1c + 1.5 (3.5) = 7
1c + 5.25 = 7
1c = $1.75
Answer:
12 x 3 = 36 + 33
Step-by-step explanation:
sorry if it's wrong but the answer to the equation i put out would be 69
