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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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Five times a number is the same as 30more than 8 times the number. Find the number
antoniya [11.8K]

Answer:

<h2>7.6</h2>

Step-by-step explanation:

5x=30+8

so x=6+1.6

7.6

<h3>Brainliest please!</h3>
3 0
3 years ago
Can someone answer this question please answer it correctly if it’s corect I will mark you brainliest
MrMuchimi

Answer:

divide the 13 motorcycles by the total number of vehicles  and then multiply by 100%

43 cars

Step-by-step explanation:

Q3

To find the percent of motorcycles in traffic

divide the number of motorcycles by the total number of vehicles and then multiply by 100%

Q4

Mode means most often.  In a histogram, it is the tallest column.  It is the first column, which looks like 43 cars

3 0
3 years ago
A pair of snow boots at an equipment store in Big Bear that originally cost $80 is on sale for $56. What is the rate of discount
8_murik_8 [283]

Divide the sale price by the original price:

56 / 89 = 0.7

Multiply by 100:

0.7 x 100 = 70%

The sale price is 70% of the original price, so the discount would be 30% (100-70= 30)

4 0
3 years ago
3)A ball is kicked from a height of 2 feet off the ground, after 1 second the ball rea
MArishka [77]

Answer:

y = - 2x + (1/2 38) + 2   = y =  -2x + 19x + 2  at any second  and y = -2x^2 / 2  + 19/2 + 2/2 = <u>- x^2 + 19/2 + 2 </u>=  - x (4) + 19/2(4) + 1 = -4+ 38 + 1 = 35 seconds  

Step-by-step explanation:    We see that 38-2ft = 36ft and y intercept  = 2 and then -2x allows us to represent the starting point 2 as -2 (1) to allow a descend to our back to 0 for y  one we find y intercept we know - x^2  is our simplified equation and an input into this to find the static and slowed descend back to 0  if you keep inputting at 5 and 6 you see the equation speed up   Anyway at (4) substitute = 4 seconds we divide our simplified equation a = -x2 into  a b c and divide each by 2  before working out the<u> </u><u>decline</u> of the equation<u> (as equation still represents all ascending and descending) </u>for the 4th second as the height was <u>already said to be at its max at 38 feet see equation in answer to find 4 as substitute for x </u>

3 0
2 years ago
Last year Jan had 25 model airplanes in her collection. This year she has 32% more model airplanes. Jan then gave her brother 6
Igoryamba

Answer: Jan now has 27 model airplanes.

Step-by-step explanation: The starting figure is 25 model airplanes and this year she has 32% more than she started with. We shall first find out how many that turned out to be. Let the current number of model airplanes be X.

X = 25 + 32%

[To calculate 32% of 25

25 x 32/100

(25 x 32)/100

800/100

8]

X = 25 + 8

X = 33

Now she has 33 model airplanes and she gave out 6 of these to her brother, then she finally has left with her, 33 minus 6 which equals 27.

Jan now has 27 model airplanes left

8 0
3 years ago
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