Help help help please and thank you

Answer:

When we have a function g(x)

We will have a maximum at x when:

g'(x) = 0

g''(x) < 0.

Now we start with:

g(x) = 3*x^4 - 8*x^3

The first derivation is:

g'(x) = 4*3*x^3 - 3*8*x^2

g'(x) = 12*x^3 - 24*x^2

We can rewrite this as:

g'(x) = x^2*(12*x - 24)

Now we want to solve:

g'(x) = 0 =  x^2*(12*x - 24)

We have one trivial solution, that is when x = 0.

The other solution will be when the term inside of the parentheses is equal to zero.

Then we need to solve:

12*x - 24 = 0

12*x = 24

x = 24/12 = 2

Then g'(x) is equal to zero for x = 0, and x = 2.

Notice that both of these points are included in the interval [ -2,2 ]

Now we need to look at the second derivative of g(x):

g''(x) = 3*12*x^2 - 2*24*x

g''(x) = 36*x^2 - 48*x

Ok, now we need to evaluate this in the two roots we found before:

if x = 0:

g''(0) = 36*0^2 - 48*0 = 0

g''(0) = 0

Then we do not have a maximum at x = 0, this is a point of inflection.

if x = 2:

g''(2) = 36*(2^2) - 48*2 = 48

then:

g''(2) > 0

This is an absolute minimum.

Now let's look only at the interval [ -2,2 ]

We know that:

g''(0) =  0

g''(2) > 0

Then at some point, we should have g''(x) < 0 in our interval.

We need to find the first point such that happens, so let's try with the lower limit of the interval but with the first derivation, if g'(x) < 0, this means that the function is decreasing from that point on, then that point will be a maximum in our interval.

x = -2

g'(-2) = (-2)^2*(12*-2 - 24) = -192

And if we look at the function:

g'(x) = x^2*(12*x - 24)

We can easily see that it is negative unitl x = 0, and then it keeps being negative until x = 2.

So in the interval  [ -2,2 ], the function g'(x) is always negative or zero, this means that in the interval  [ -2,2 ], the function g(x) is always decreasing or constant.

Then the absolute maximum of g(x) in the interval  [ -2,2 ]  will be  x = -2

this means that:

g(-2) ≥ g(x) for all x ∈  [ -2,2 ]

To answer this question, you need trigonometry.

Are you familiar with the chant soh cah toa?

In here, you can see that the side you have is adjacent to the angle you have, and you're trying to find the opposite side. This means you need tangent = opposite ÷ adjacent

If the angle was 30° 45° or 60° Then there is a table you can use to calculate, but there isn't so just use a calculator

tan 31° = x ÷ 10

Answer:

Step-by-step explanation:

Volume of cylinder:  V = π×r² × h

r = 3.2 cm

h = 5 cm

Volume:

V = π×(3.2)²×5 = 51.2π cm³ = 160.8495.... cm³ ≈ 160.85 cm³

Answer:

what models

Step-by-step explanation:

Answer:

39 yards.

Step-by-step explanation:

52 squared plus B squared equals 65 squared

Answer:

yes

Step-by-step explanation:

Answer:

75%

Step-by-step explanation:

Use 'Percent(age) Composition'

1. (18/24) = 0.75 This shows that 0.75/1 students reads during their free time.

2. 0.75 x (100) = 75% This step is to allow the value we received above to be displayed as a percentage.

75% of students enjoy reading in their spare time.

To check if x = 9 is the solution, we need to replace every x with 9 and simplify

(3+x)/4 = 3

(3+9)/4 = 3

12/4 = 3

3 = 3

We get the same thing on both sides, so the last equation is a true equation. This means that the first equation is a true equation when x = 9. Therefore, the solution x = 9 is confirmed.

Answer:

the answer is A≈15.21

im guessing that DP stands for decimal place and im not sure how you exactly want it rounded but it should be simple to see the answer

Step-by-step explanation:

Answer:

190 inches squared

Step-by-step explanation:

You have to split the shape into two different rectangles. Then multiply 22 x 5 to get the area of the right rectangle. The area of this is 110 inches squared. Then you find the area of the other rectangle by solving (15-5) x 8. You get 80. Then add 80 + 110 to get 190.

Hope it helps!

Answer: 190 inches²

Step-by-step explanation:

Area of rectangle = L x W

                             = 15 x 8

                             = 120 inches

Area of smaller rectangle = L x W

                                           = 5 x (22 - 8 = 14)

                                           = 70 inches

Therefore, 120 inches + 70 inches = 190 inches²

Answer:

-1/3

Step-by-step explanation:

Answer:

At maximum speed the robot can travel 9 miles in 2hrs and 15 min

Step-by-step explanation:

Answer:

1) 14°

2)117°

3) 78°

4) 66°

5) 64°

6) 28°

7)35°

8) 48°

Step-by-step explanation:

just subtract both angles from 180 because all triangle's angles always add up to 180°

1. ) 14

2.) 117

3.) 78

4.) 66

5.) 64

6.) 34

7.) 45

8.) 48

the person before me i dont think dod did their math right bc some of their math answers are wrong on 5 through 8 i think it is.

NOW HERE'S HOW TO DO IT WITH EXAMPLES OF YOUR QUESTIONS

in triangles all angles added up cant be more than 180 degrees . basically you take 180 and subtract the known angles and what is left over is the unknown angle

example question 1.) 180-112-54=14

question 2.) 180-38-25=117. i hope this helps. man i should have typed faster id be first. owell goodluck

Answer:

slope=20

Step-by-step explanation:

rise= 100

run= 5

rise over run = 100/5

100÷5=20

so slope =20

Answer:

I think it is A

Step-by-step explanation:

because there is only 1 slope which is 3 and the y intercept is 4

Answer:

[tex]x=3.33333\\y=-5[/tex]

Answer:

$7.99

Step-by-step explanation:

6.5% of 7.5 = 0.4875

7.5 + 0.4875 = 7.9875 or about 7.99

Answer:

The measure of the interior angle C is [tex]108^{o}[/tex].

Step-by-step explanation:

Sum of angles in a polygon = (n - 2) x 180

where n is the number of sides of the polygon.

For a hexagon, n = 6. So that;

Sum of angles in a hexagon = (6 - 2) x 180

                                     = 4 x 180

                                     = [tex]720^{o}[/tex]

Sum of angles in a hexagon = [tex]720^{o}[/tex]

⇒ 3x + 15 + 2x + 30 + 5x + 10 + 2x + 55 + 2x + 60 + x - 35 = [tex]720^{o}[/tex]

15x + 135 = [tex]720^{o}[/tex]

15x = [tex]720^{o}[/tex] - 135

15x = 585

x = [tex]\frac{585}{15}[/tex]

  = [tex]39^{o}[/tex]

But,

C = 2x + 30

   = 2(39) + 30

   = 78 + 30

   = [tex]108^{o}[/tex]

The measure of the interior angle C is [tex]108^{o}[/tex].

Answer:

1.5972

11.4688

6.5025

1.81

28.9835

Step-by-step explanation:

yan po hehe

Answer:

220%

Step-by-step explanation:

Answer:

1280 cubic

Step-by-step explanation:

length x width x height

Answer:

B

Step-by-step explanation: Volume=lwh

10*8*16=1280

Answer: B

Answer:

(1/5 mi) / (1/15 hr) = 1/5 * 15/1 = 3 mi/hr

Step-by-step explanation:

The speed of the person will be equal to 3 mi/hr.

Speed is defined as the ratio of the time distance traveled by the body to the time taken by the body to cover the distance. Speed is the ratio of the distance traveled by time. The unit of speed in miles per hour.

Given that a person walks 1/5 mile in 1/15 hour. The speed of the person will be calculated as,

Speed = (1/5 mi) / (1/15 hr)

Speed = 1/5 x 15/1

Speed = 3 mi/hr

Therefore, the speed of the person will be equal to 3 mi/hr.

To know more about Speed follow

brainly.com/question/6504879

#SPJ2

Answer:

224

Step-by-step explanation:

Multiply all the numbers

Answer:

y = 5x + 11

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

- 5x + y = 2 ( add 5x to both sides )

y = 5x + 2 ← in slope- intercept form

with slope m = 5

Parallel lines have equal slopes, then

y = 5x + c ← is the partial equation

To find c substitute (- 2, 1) into the partial equation

1 = - 10 + c ⇒ c = 1 + 10 = 11

y = 5x + 11 ← equation of parallel line

Answer:

5/2

Step-by-step explanation:

1km=1000m

1.75 x 1000=1750

1750/700 = 5/2