All categories

3 years ago

Find the minimum or maximum value of the function g(x)=−3x2−6x+5

Mathematics

1 answer:

polet [3.4K]3 years ago

4 0

Step-by-step explanation:

g(x) = ax²+bx+c

g(x)=−3x²−6x+5

a = -3, b= -6, c = 5

since a <0 , the function has only maximum value.

=> g'(x) = 0

-6x -6 = 0

-6x = 6

x = -1

the maximum value => g(-1) =

-3(-1)²-6(-1)+5 = -3+6+5 = 9

the domain : {x | x € Real numbers}

the range : {y| y ≤ 9, y € Real numbers}

the function is increasing for x < -1

the function is decreasing for x > -1

You might be interested in

A $12 t- shirt is on sale for 40% off at a store in Mississippi. Sales Tax on Mississippi is 9%. How Much Will The t- shirt end

STALIN [3.7K]

Let's calculate how much for the $12 t - shirt after the discount.

First, convert 40% into a decimal,

$40\% = 0.4$

Next, multiply the cost by the discount,

$12 \times 0.4 = 4.8$

Lastly, subtract the amount discounted,

$12 - 4.8 = 7.2$

~~

Now

Let's calculate the amount after the sales tax,

First convert 9% to a decimal,

$9\% = 0.09$

Next, multiply the cost of the t - shirt by the sales tax,

$7.2 \times 0.09 = 0.648 = 0.7$

Lastly, add the amount of sales tax to the price of the t - shirt,

$7.2 + 0.7 =7.9$

~~

Answer : the t - shirt will be $7.90 after everything.

~~

I hope that helps you out!!!

Any more questions, please feel free to ask me and I will gladly help you out!!!

~Zoey

5 0

3 years ago

Find an explicit function rule for the sequence -3, 3, 9, 15,.... Use the formula a(n) = a(1) + (n-1)d and simplify fully.

fiasKO [112]

A(1) = - 3 ;
a(2) = a(1) + ( 2 - 1 )d ;
3 = -3 + d ;
d = 6 ;
a(3) = a(1) + ( 3 - 1)d;
9 = - 3 + 2d ;
12 = 2d ;
d = 6 ;
a(4) = a(1) + ( 4 - 1 )d ;
15 = -3 + 3d ;
18 = 3d ;
d = 6 ;
Then, a(n) = - 3 + ( n- 1 )6 ;
a(n) = - 3 + 6n - 6 ;
a(n) = 6n - 9 is an explicit functin rule for the sequence -3, 3, 9, 15, ...

6 0

3 years ago

Name all the segments that is parallel to the given segment.

Leni [432]

Answer and Step-by-step explanation:

AB is parallel to FE

CA is parallel to EG

CB is parallel to FG

#teamtrees #WAP (Water And Plant)

5 0

3 years ago

Read 2 more answers

How many ways can you choose steak,fish, or chicken if you can only choose two meats?

Julli [10]

Answer:

Steak and Fish

Steak and Chicken

Fish and Chicken

Step-by-step explanation:

These are the possible choices:

Steak and Fish

Steak and Chicken

Fish and Chicken

You can double-check this by looking at each meat, and making sure it was paired with both other types of meat.

I Hope That This Helps! :)

7 0

3 years ago

A pond holds 1920 gallons of water. There is a leak and the amount of water drops 20 gallons every hour. How much water is in th

Ivahew [28]

Answer:

20 times an hour so 20 times 48 is 960 1920-960 is 960 gallons so there is 960 gallons of water left

7 0

3 years ago

Read 2 more answers