Re-write the quadratic function below in Standard Form y=3(x − 3)(x

Identify the maximum value of the function y = −4x2 − 24x + −36.

kenny6666 [7]

$y = -4x^2 - 24x + -36$

$y = -4(x^2 + 6x) -36$

$y = -4(x^2 + 6x + (6/2)^2) + 4(3)^2 -36$

$y = -4(x + 3)^2$

We clearly get the maximum at x=-3, in which case y=0

Answer: 0, last choice

5 0

3 years ago

Volume finding help volume

riadik2000 [5.3K]

1. This is a rectangular prism (box), therefore its volume is written as V = w l h where w is the width, l is the length, and h is the height.
w = 2 1/4 (2.25) m
l = 3 m
h = 8 1/4 (8.25) m
V = w l h
V = 2.25×3×8.25
V = 55.69 m³

2. This is a cube, as shown by the measurements all being equal. Its volume is written as V = a³ where a is the length of any side.
a = 3 1/4 (3.25) in
V = a³
V = 3.25³
V = 33.33 in³

# 3 through 8 are all rectangular prisms (boxes), whose volume is written as V = w l h

3.
w = 2 1/3 (2.33) ft
l = 9 1/4 (9.25) ft
h = 4 ft
V = w l h
V = 2.33×9.25×4
V = 86.21 ft³

4.
w = 3.7 in
l = 10.3 in
h = 2.4 in
V = w l h
V = 3.7×10.3×2.4
V = 91.46 in³

5.
w = 4 in
l = 7 in
h = 5 in
V = w l h
V = 4×7×5
V = 140 in³

6.
w = 5 in
l = 3.6 in
h = 4.2 in
V = w l h
V = 5×3.6×4.2
V = 75.6 in³

7.
w = 2.2 cm
l = 6.6 cm
h = 3 cm
V = w l h
V = 2.2×6.6×3
V = 43.56 cm³

8.
w = 2.1 m
l = 4.2 m
h = 12.2 m
V = w l h
V = 2.1×4.2×12.2
V = 107.60 m³

9. This is a cube again, therefore its volume is written as V = a² where a is the length of any side.
a = 2.3 ft
V = a³
V = 2.3³
V = 12.17 ft³

10. A rectangular box (prism) 12.7 cm long, 7.1 cm wide, and 3 cm high.
V = w l h
V = 7.1×12.7×3
V = 270.51 cubic cm (cm³)

11. A cube 11 1/4 (11.25) inches long.
V = a³
V = 11.25³
V = 1423.83 cubic inches (in³)

12. A rectangular box (prism) 9.8 feet long, 4 feet wide, and 2 1/2 (2.5) feet high.
V = w l h
V = 4×9.8×2.5
V = 98 cubic feet (ft³)

Use the formula V=bh or V=l×w×h (V = w l h) to find the volume of each.

1. Area of base: 8 × 3 = 24 square units
Height: 4 1/2 (4.25) units
V = bh
V = 24×4.25
V = 102 cubic units

2. V = l×w×h
V = bh
V = 3.6×5×4.2
V = 75.6 cubic inches

3. V = bh
b = lw
l = 4 ft
w = 2 1/2 (2.5) ft
b = 4×2.5
b = 10
h = 7
V = bh
V = 10×7
V = 70 cubic feet

4. A rectangular box 6.8 feet long, 4 feet wide, and 2 feet high.
(is it just me, or does that one sound like the dimensions of a coffin???)
V = l×w×h
V = 6.8×4×2
V = 54.4 cubic feet

5. A cube 3 1/2 (3.5) inches long. Draw a picture and label it. Tell how it can help you find the volume.
V = bh
b = l×w
b = 3.5×3.5
b = 12.25
h = 3.5
V = 12.25×3.5
V = 42.88 cubic inches
Drawing attached.

7 0

3 years ago

In sequences 1,7,13,19, ...., each number is 6 more than the number before it. In the sequences 1,9,17,25,...., each number is 8

butalik [34]

Answer:

I think 17, but I'm not sure.

Step-by-step explanation:

here's what I think.

So I don't know how to write it, but I got this,

14 + 2 + 1

6 0

2 years ago

The Hernandez family built a backyard patio. The widgh and length of the patio are whole numbers. What could be the dimensions o

Ksenya-84 [330]

30ftx5ft could be possible

3 0

3 years ago

Read 2 more answers

What’s the axis of symmetry?

Sloan [31]

Answer:

x = -1

Step-by-step explanation:

With the axis of symmetry, think of it as where you would slice this line in half, and both sides would look identical to each other. Since this is a quadratic function, this would be at where the vertex is.

The vertex is the part of the line where it "turns" around and starts going the other way. So vertex of this line is at (-1, 3).

Therefore, the axis of symmetry is at x = -1. This is since the function is pointing either up/down, and any value that is x = _ is a vertical line.

4 0

3 years ago

Re-write the quadratic function below in Standard Form y=3(x − 3)(x – 4)