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spin [16.1K]
3 years ago
12

Find the equation for the parabola that passes through the point (-2,-4), with vertex at (3,1) and a vertical axis

Mathematics
1 answer:
Igoryamba3 years ago
7 0

Answer:

see explanation

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (3, 1), hence

y = a(x - 3)² + 1

To find a substitute (- 2, - 4) into the equation

- 4 = a(- 2 - 3)² + 1

- 4 = 25a + 1 ( subtract 1 from both sides )

25a = - 5 ( divide both sides by 25 )

a = - \frac{5}{25} = - \frac{1}{5}

y = - \frac{1}{5} (x - 3)² + 1 ← in vertex form

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6 0
3 years ago
Find the compound interest on 50000 for 9 month at 8 %
Ahat [919]

Answer:The answer is 5, 414.52

Step-by-step explanation:

Since number of years isn't imputed, it will be assumed it's for 1 year

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A = P( 1 + r/n)^not

Inputting values

A = 5000( 1 + 0.08/9) ^ 9*1

A = 5, 414.52

Hope this helps

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3 years ago
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Sholpan [36]

Answer:

Step-by-step explanation:

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3 years ago
Sean, a freelance editor, charges the rates shown in the table below to edit manuscripts. The cost per page increases as the qua
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85c - 0.5(85c) = 161.5
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==================
x - 3 < -7                  x + 5 > = 8
x < -7 + 3                 x > = 8 - 5
x < -4                       x > = 3

open circle on -4, shading to the left....closed circle on 3, shading to the right

7 0
3 years ago
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ser-zykov [4K]

9514 1404 393

Answer:

  12 m³

Step-by-step explanation:

The bottom platform has dimensions 2m × 4m × 3m, so a volume of ...

  V = LWH

  V = (2 m)(4 m)(3 m) = 24 m³

The top platform has dimensions 2m × 3m × 2m, so a volume of ...

  V = (2 m)(3 m)(2 m) = 12 m³

The bottom platform has a larger volume by ...

  24 m³ -12 m³ = 12 m³

The bottom prism has a 12 m³ larger volume.

6 0
3 years ago
Read 2 more answers
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