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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

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Help Please?<br> thats my image below

kenny6666 [7]

Answer:

6) 7.85 7) 32.97

Step-by-step explanation:

6) p= 3.14×(5/2)

p= 7.85

7) p= 3.14×10×5

p= 32.97

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1 year ago

A dog is standing 5 feet from the base of a tree, looking up at a cat that has climbed 16 feet up the tree. What is the angle of

Katena32 [7]

Answer:

x=72.6

Step-by-step explanation:

use inverse trig because your finding a missing angle. use tan because you haved opp/adj

tan-1=(16/5)

x=tan-1(16/5)

*use a calculator

x=72.6

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2 years ago

Find the volume of the composite figure below.

worty [1.4K]

Answer:

Volume of composit figure= 4834.14 cm^3

Step-by-step explanation:

here's your solution

=> Radius of hemisphere = 9 cm

==> volume of hemisphere = 2/3πr^3

==> volume of hemisphere = 2/3*22/7* 9^3

==> volume = 1526.04 cm^3

=> Radius of cylinder = 9 cm

=> Height of cylinder = 13 cm

==> volume of cylinder = πr^2h

==> volume of cylinder = 22/7*9^2*13

==> volume of cylinder = 3,308.1 cm^3

Volume of composit figure = 1526.04 + 3308.1

= 4834.14 cm^3

hope it helps

7 0

2 years ago

Three more than the quotient of a number and 8 is 9

Alborosie

Answer:

Step-by-step explanation:

x/8+3=9

x/8=9-3

x/8=6

x=6*8

x=48

4 0

3 years ago

Read 2 more answers

8.45 At some point in the season, the Unicorns had won 60% of their basketball games. After that point, they won 8 more games an

ololo11 [35]

Answer:

The total number of games won by Unicorn is 40.

Step-by-step explanation:

We are given with a word problem
We are asked to find the number of unicorns played during the season
We can do this in two steps

Step 1: Finding the win percentage

Step 2: Finding the number of unicorns played during the season

Step 1 of 2

Let the number of games played by unicorn be x.The unicorn won 60% of the first x-10 games That is $\frac{60}{100} \times(x-10)$

Combining the 8 games we get,

$\begin{gathered}\frac{60}{100}(x-10)+8=\frac{60}{100} \times x-\frac{60}{100} \times 10+8 \\0.6 x-6+8=0.6 x+2\end{gathered}$

Step 2 of 2

The unicorn totally won 65% of the games played.

That is $\frac{65}{100} \times x=0.65 x$

Equating both the equation gives

$\begin{gathered}0.6 x+2=0.65 x \\2=0.65 x-0.6 x \\2=0.05 x \\\frac{2}{0.05}=x \\40=x\end{gathered}$

5 0

2 years ago