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LiRa [457]
3 years ago
5

If f(x) = (x + 3)(x − 3), complete the square and determine the minimum or maximum value of the function.

Mathematics
1 answer:
Westkost [7]3 years ago
3 0

Answer:

Minimum of -9

Step-by-step explanation:

f(x) = (x + 3)(x − 3)

Distribute:

f(x) = x² − 9

In vertex form:

f(x) = 1 (x − 0)² − 9

The leading coefficient is positive, so this is an upwards parabola, meaning the vertex is a minimum.  The vertex is at (0, -9).  So the minimum of the function is -9.

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In the parabola y = (x + 12 + 2, what is the vertex?
VladimirAG [237]

Answer:

The vertex is the point (-6,-34)

Step-by-step explanation:

we know that

The equation of a vertical parabola into vertex form is equal to

y=a(x-h)^{2}+k

where

(h,k) is the vertex of the parabola

In this problem we have

y=x^{2}+12x+2

Convert in vertex form

Group terms that contain the same variable, and move the constant to the opposite side of the equation

y-2=x^{2}+12x

Complete the square . Remember to balance the equation by adding the same constants to each side.

y-2+36=x^{2}+12x+36

y+34=x^{2}+12x+36

Rewrite as perfect squares

y+34=(x+6)^{2}

y=(x+6)^{2}-34

The vertex is the point (-6,-34)

4 0
3 years ago
Seven pizzas are shared equally between three friends. What fraction of pizza does each friend get? Write your answer as a mixed
vredina [299]

Seven pizzas: 7 pizzas

Shared between 3 friends: 7 pizzas / 3 friends

Simplify the fraction:

7 / 3

(3 goes into 7 twice, 7 - 6 = 1)

2 1/3

The fraction of pizza that each friend gets is 2 1/3.

Hope this helps!! :)

8 0
3 years ago
Read 2 more answers
Which of the following would be most helpful for a reflection?
Oxana [17]
Its A- Parallel lines formed by the image…
8 0
2 years ago
Answer the question to become brainliest
marishachu [46]

Answer:

2406.17 cm³

Step-by-step explanation:

The following data were obtained from the question:

Height (h) = 24.4 cm

Base length (L) = 17.2 cm

Volume (V) =?

Next, we shall determine the base area of the pyramid. This can be obtained as follow:

Base length (L) = 17.2 cm

Base area (B) =.?

B = L × L

B = 17.2 × 17.2

B = 295.84 cm²

Finally, we shall determine the volume of the pyramid. This can be obtained as follow:

Height (h) = 24.4 cm

Base area (B) = 295.84 cm²

Volume (V) =?

V = ⅓Bh

V = ⅓ × 295.84 × 24.4

V = 2406.17 cm³

Thus, we volume of the pyramid is 2406.17 cm³

7 0
3 years ago
Solve. -1/3b = 9<br> A.-3<br> B.3<br> C.-27<br> D.27
STALIN [3.7K]
Ok so lets plug in a first -1/3(-3) would equal 9 a is the accurate  answer
3 0
3 years ago
Read 2 more answers
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