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Answer: y=2x+8
Step-by-step explanation:
(2,12)=(x1,y1)
(-7,-6)=(x2,y2)
(y2-y1)/(x2-x1)=(-6-12)/(-7-2)=-18/-9=2=m
y=mx+b
y=2x+b
insert (2,12) to y=2x+b
12=2*2+b
12=4+b
8=b
y=2x+8
First, convert the equation to the standard equation of a parabola.
-1/4(y+4)=(x-3)^2 ---multiply -4 on both sides
y+4=-4(x-3)^2 ---subtract 4 on both sides
y=-4(x-3)^2-4
From the equation, we know that the parabola was moved by 3 to the right, because of (x-3)^2. So the axis of symmetry is x=3. Now look at the number in front of (x-3)^2. It is -4. Since it is negative, the parabola opens downwards.
Answer:
34
Step-by-step explanation:
You can solve this problem by finding the volume of the candle first. The formula for rectangular prism is multiplying all three of its dimension. In this case, you would multiply 3, 10, and 4 together to get 120 cm^3. Assuming the question meant "the company used 4080 cm^3 of wax", divide 4080 by 120 to see the number of candles the company made, which is 34.
Answer:
48
Step-by-step explanation:
Signals during a multiplication of two numbers:
They have the same signal: The multiplication is positive.
They have different signals: The multiplication is negative.
3 times (-8) times (-2)
First 3*(-8):
Different signals, so negative. 3*8 = 24. So the answer is -24.
Then:
3*(-8)*(-2) = (-24)*(-2)
Same signal, so positive. 24*2 = 48. The answer is 48.
