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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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Simplify the ratio 19:114
masha68 [24]
19:114 =  \frac{19}{114} ÷ \frac{19}{19} =  \frac{1}{6} = 1:6 \ \textless \ -answer
8 0
3 years ago
A bag contains six red and ten black marbles if you pick a marble from the bag what is the probability that the marble will be b
dimulka [17.4K]

Answer:

125

Step-by-step explanation:

The total number of marbles is 6+10 = 16

P (black) = black / total

               = 10/16  = 5/8

With 200 draws, take the probability of P(black) times 200 since the marble is returned each time

200 * (5/8) = 125

We would expect to get 125 black marbles

6 0
3 years ago
Aria paid $75,000 for her house. its property value increased by 2.2% per year. when aria sold her house after eleven years, how
Wewaii [24]

Answer:

D

Step-by-step explanation:

Converting percent to decimal : 2.2/100 = 0.022

Finding 2.2$ of $75k : 75,000 x 0.022 = $1,650 (also the increase in one year)

Finding how much it was worth after 11 years :

(75,000 x 0.022) x 11 = $18,150 or 1,650 x 11 = $18,150

Now add the product to the regular amount to find out the answer:

75,000 + 18,150 = $93,150 (which is how much it increased after 11 years)

3 0
2 years ago
A repair person is scheduled to be at your apartment between 9:00am to 12:00pm but you have to leave at 11:30 to help out a frie
sergiy2304 [10]
<h3>Answer:</h3>

5/6

<h3>Explanation:</h3>

There are 6 half-hours between 9 and 12. You will be there for 5 of them. The probability you will be there is 5/6.

7 0
3 years ago
Read 2 more answers
How do we round 8.373 to the nearest hundredth?
Mashutka [201]
8.373 rounded to the nearest hundredth is 8.37 because you look at the thousandths place or to the right of 7 and you see that its lower than 5 so you round down giving you the answer of 8.73

Answer: 8.73
3 0
3 years ago
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