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VLD [36.1K]
2 years ago
6

Please help me with this question by using completing the square (alg 2). The answer should be (2, -6)

Mathematics
1 answer:
Lorico [155]2 years ago
7 0

Answer:

(2, -6)

Step-by-step explanation:

5n^2+20n-60

(5n+30)(n-2)

5n + 30 = 0

5n = -30

(5n = -30)/5

n = - 6

n - 2 = 0

n = 2

answer: (2, -6)

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An open box is made from a square piece of cardboard 30 inches on a side by cutting identical squares and turning up the sides.
pychu [463]

Step-by-step explanation:

A)

The length of the box is 30 − 2x inches.

The width of the box is 30 − 2x inches.

The height of the box is x inches.

So the volume is:

V = x (30 − 2x)²

B)

V(3) = 3 (30 − 6)² = 1728

V(4) = 4 (30 − 8)² = 1936

V(5) = 5 (30 − 10)² = 2000

V(6) = 6 (30 − 12)² = 1944

V(7) = 7 (30 − 14)² = 1792

As x increases, the volume of the box increases to a maximum and then decreases.

C)

The ends of the domain occur when V = 0.

0 = x (30 − 2x)²

x = 0 or 15

So the domain is (0, 15).

3 0
3 years ago
What is the area of a garden that measures 4mx4mx6mx4mx10mx8m
topjm [15]

The area of the garden is 120 square metre

<h2>Explanation:</h2>

The picture of the garden is shown below. In this problem, we have:

  • One square
  • Two rectangles

Recall that the area of a square is given by:

A_{s}=L^2 \\ \\ A_{s}:Area \ of \ a \ square \\ L:Side \ of \ the \ square

On the other hand, the area of a rectangle is given by:

A_{r}=L_{1}\times L_{2} \\ \\ \\ A_{r}:Area \ of \ a \ rectangle \\ \\ L_{1}:Side \ 1 \ of \ the \ rectangle \\ \\ L_{2}:Side \ 2 \ of \ the \ rectangle

Therefore:

FOR THE SQUARE:

L=4m \\ \\ \\ Substituting \ values: \\ \\ \\ A_{s}=4^2 \\ \\ \boxed{A_{s}=16m^2}

FOR THE RECTANGLE 1:

L_{1}=6m \\ L_{2}=4m \\ \\ \\ Substituting \ values: \\ \\ \\ A_{r_{1}}=6(4) \\ \\ \boxed{A_{r_{1}}=24m^2}

FOR THE RECTANGLE 2:

L_{1}=10m \\ L_{2}=8m \\ \\ \\ Substituting \ values: \\ \\ \\ A_{r_{2}}=10(8) \\ \\ \boxed{A_{r_{2}}=80m^2}

Finally, the area of a garden is the sum of the three areas:

A_{total}=A_{s}+A_{r_{1}}+A_{r_{2}} \\ \\ A_{total}=16m^2+24m^2+80m^2 \\ \\ A_{total}=16+24+80 \\ \\ \boxed{A_{total}=120m^2}

<h2>Learn more:</h2>

Area of a pizza: brainly.com/question/12878495

#LearnWithBrainly

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Answer:

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Step-by-step explanation:

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