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HACTEHA [7]
3 years ago
9

Please help Me find that last box I’m struggling

Mathematics
2 answers:
vfiekz [6]3 years ago
7 0

Answer:

(0,-4)

Step-by-step explanation:

To find the y-intercept, substitute x=0

y= -3(0)^2+12(0)-4

=-4

omeli [17]3 years ago
5 0

Answer:

  • Axis of symmetry: x=2
  • Vertex: (2, 8)
  • Y-intercept: (0, -4)
  • Min/Max: Maximum

Step-by-step explanation:

Concept:

Quadratic equation formula: y=ax²+bx+c

Axis of symmetry formula=-b/2a

Y-intercept formula=c

Minimum or maximum is determined by the first term of the equation, which is [a]. If [a] is positive, then it is a minimum equation as the parabola heads up. If [a] is negative, then it is a maximum equation as the parabola heads down.

Given:

y = -3x² + 12x - 4

Solve:

The axis of symmetry formula = -b/2a

  • -(12)/2(-3) = 2

The Vertex

  • y=-3x²+12x-4=-3(2)²+12(2)-4=8
  • (2, 8)

Y-intercept=c=(0, -4)

Min/Max

  • Since [-3] is negative, it is maximum

Hope this helps!! :)

Please let me know if you have any questions

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USPshnik [31]

The unit rate is 3 apples per minute

Step-by-step explanation:

Unit rate will be calculated by dividing the total number of apples by the time

Given

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Keywords: Unit rate, Division

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3 years ago
A new movie is released each year for 8 years to go along with a popular book series. Each movie is 5 minutes longer than the la
Georgia [21]

Answer:

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Step-by-step explanation:

* Lets revise the arithmetic series

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- Ex:  

# 2 , 5 , 8 , 11 , ………………………. (constant difference is 3)

# 5 , 10 , 15 , 20 , ………………………… (constant difference is 5)

# 12 , 10 , 8 , 6 , …………………………… (constant difference is -2)

* General term (nth term) of an Arithmetic series:  

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* Lets solve the problem

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∴ n = 8

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∵ Un = a + (n - 1)d

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∵ a = 75 , d = 5 , n = 8

∴ l = 75 + (8 - 1)(5) = 75 + 7(5) = 75 + 35 = 110

∴ l = 110

∵ Sn = n/2 [a + l]

∴ S8 = 8/2 [75 + 110] = 4 [185] = 740 minutes

* The total length of all 8 movies is 740 minutes

7 0
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