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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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What is the constant proportionally of the graph <br> Help me
Marina CMI [18]

Answer:

The constant proportionally of the graph is:

  • k = 8

Step-by-step explanation:

We know that when 'y' varies directly with 'x', we get the equation

y ∝ x

y = kx

k = y/x

here 'k' is called the constant of proportionality.

From the graph, it is clear that:

at x = 0.5, the value of y = 4

so substituting x = 0.5 and y = 4 in the equation

k = y/x

k = 4/0.5

k = 8

at x = 1, the value of y = 8

so substituting x = 1 and y = 8 in the equation

k = y/x

k = 8/1

k = 8

Therefore, the constant proportionally of the graph is:

  • k = 8
4 0
3 years ago
Jerry but for DVDs for $25.20 what was the unit rate
adoni [48]
If Jerry bought four DVDs for $25.20 and you would like to know what was the unit rate, you can calculate this using the following step:

$25.20 / 4 = $6.30

Result: The unit rate was $6.30.
6 0
3 years ago
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Which relation is a function? choose all the correct answers. pls help asap!
Sonja [21]

It's the second one

An input can only have one output, an output can have multiple inputs though

4 0
2 years ago
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7 friends have a similar cell phone plans. The price of each plan is $x. 3 of 7 friends pay an extra $4 per month for unlimited
cestrela7 [59]

Answer:

Step-by-step explanation:

7 friends have a similar cell phone plans. The price of each plan is $x. This means that the basic cost of all the plans is $x. The total basic cost for the 7 plans would be

7 × x = $7x

3 of 7 friends pay an extra $4 per month for unlimited text messaging. The total amount paid by the 3 friends would be

3 × 4 = $12

Therefore, the total cost for the 7 plans would be

7x + 12

6 0
3 years ago
a quantity with an initial valuve of 390 decays continuously at a rate of 5% per decade what is the value of the quantity after
pogonyaev

Answer:

4695.90

Step-by-step explanation:

The exponential growth function is given as:

y = a(1 + r)^t

a = Initial value = 390

y = Value after time t = ?

r = Growth rate = 5% = 0.05

t = Time in years =51

Hence

y = 390(1 + 0.05)⁵¹

y = 4695.9002123

Approximately = 4695.90

5 0
3 years ago
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