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Agata [3.3K]
3 years ago
7

Write -3x^2-18-31 in vertex form.

Mathematics
1 answer:
chubhunter [2.5K]3 years ago
4 0
Get into form a(x-h)²+k

complete the square

-3x²-18x-31
group x terms
(-3x²-18x)-31
undistribute the -3
-3(x²+6x)-31
take 1/2 of the linear coefient (6) and squaer it
6/2=3, 3²=9
add positive and negative of it inside parenthasees
-3(x²+6x+9-9)-31
complete the square
-3((x+3)²-9)-31
expand
-3(x+3)²+27-31
-3(x+3)²-4 is vertex form
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The value of a car bought new for $28900 decreases 15% each year. Identify the function for the value of the car. Does the funct
Eva8 [605]

Answer:

<u>V (t) = 28,900 - 4,335t</u>

<u>The function clearly represent a decay</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Value of the car = $ 28,900

Annual depreciation = 15% = 0.15

2. Identify the function for the value of the car. Does the function represent growth or decay?

Let y represent the value of the car after t years of utilization, let p the price of the car and d, the annual depreciation, therefore:

V (t) = p - (d * t * p)

Replacing with the values we know:

V (t) = 28,900 - (0.15 * t * 28.900)

V (t) = 28,900 - (0.15 * t * 28.900)

<u>V (t) = 28,900 - 4,335t</u>

<u>The function clearly represent a decay.</u>

8 0
4 years ago
Will mark brainly if u show work !
mihalych1998 [28]

Answer:

C

Step-by-step explanation:

The 6 comes from the 24(6*4=24)

The 3 comes from the 12(3*4=12)

The 4 is common

7 0
3 years ago
1/2 to the power of 5 equals
svp [43]

Answer:

1/32

Step-by-step explanation:

This could be written as 1/2^5\\

1/2 x 1/2 x 1/2 x 1/2 x 1/2

= 1/32, or 0.03125.

3 0
3 years ago
What is the unit rate for 16 ounces (pint) at $3.93?
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Answer:

25 cents/ounce

Step-by-step explanation:

The unit rate means how much is one of the thing you are working with.  In this case, the unit rate of a pint (16 ounces) is how much just one ounce will cost.  So divide $3.93 by 16

$3.93/16 =  $0.245625

Since we're working with money, round to the nearest hundredth

Unit rate is $0.25 per ounce, or 25 cents per ounce

8 0
3 years ago
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