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QveST [7]
3 years ago
12

What is the equation of the axis of symmetry of the graph of y + 3x – 6 = –3(x – 2)2 + 4?

Mathematics
1 answer:
never [62]3 years ago
4 0
Axis of symmetry = -b/2a
y + 3x - 6 = -3(x-2)² + 4
y + 3x - 6 = -3 ( x²-4x+4) + 4
y + 3x - 6 = -3x² + 12x -12 + 4
y + 3x - 6 = -3x² + 12x -8
y = -3x² + 12x - 3x -8 + 6
y = -3x² + 9x -2
(a=-3, b=9, c=-2)
Axis of symmetry = -b/2a =  -9/2(-3) = -9 / -6 = -3 / -2 = 3/2
Hence, option A) x=3/2 is the correct answer. 
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mario62 [17]

Answer:

523.33 cm³

Step-by-step explanation:

Formula of volume of sphere

= \frac{4}{3} \pi  {r}^{3}

The volume of the sphere

=  \frac{4}{3}  \times 3.14 \times  {5}^{3}

= \frac{1570}{3}

= 523.3333333...

= 523.33 cm³ (rounded to the nearest hundredth)

4 0
2 years ago
Linda used 36 m of fencing to enclose a rectangular section of her back yard .
Montano1993 [528]

Answer:

so you'll take width (or w) and times it by Height (or h)

50 x 100 = 5000 = example

I hope this helps...

Step-by-step explanation:

3 0
3 years ago
Priya is hosting a poetry club meeting this week and plans to have fruit punch and cheese for the meeting. She is preparing 8 ou
Sveta_85 [38]

Answer:

b= $3.99×2 + $2.50= $10.48

Step-by-step explanation:

We have the following unknowns:

p: number of people in the club

f: ounces of fruit punch

c: ounces of cheese

b: budget in dollars

We know that

p=12

Priya is preparing 8 ounces of fruit punch per person, so:

f= 8×p = 8×12 = 96

We need 96 ounces of fruit punch

Priya is preparing 2 ounces of cheese per person, so:

c= 2×p = 2×12 = 24

We need 24 ounces of cheese

A package of cheese contains 16 ounces and costs $3.99. In order to get all the cheese we need, Priya have to buy 2 packages of cheese.

2×16=32

32>24

A one-gallon jug of fruit punch contains 128 ounces and costs $2.50. Then, Priya have to buy only one gallon jug.

128>96

The budget would be:

b= $3.99×2 + $2.50×1

3 0
3 years ago
The cost function in a computer manufacturing plant is C(x) = 0.28x^2-0.7x+1, where C(x) is the cost per hour in millions of dol
Licemer1 [7]

9514 1404 393

Answer:

  $562,500 per hour

Step-by-step explanation:

The cost will be a minimum where C'(x) = 0.

 C'(x) = 0.56x -0.7 = 0

  x = 0.7/0.56 = 1.25

The cost at that production point is ...

  C(1.25) = (0.28×1.25 -0.7)1.25 +1 = -0.35×1.25 +1 = 0.5625

The minimum production cost is $562,500 per hour for production of 1250 items per hour.

_____

<em>Additional comment</em>

This is different than the minimum cost <em>per item</em>. This level of production gives a per-item cost of $450. The minimum cost per item is $358.30 at a production level of 1890 per hour.

5 0
2 years ago
If the volume of a storage container is 6720 cubic inches, what is the height of the container
guajiro [1.7K]
18.87 inches the cube root of 6720
6 0
3 years ago
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