Given f of x equals 5 times x minus 6 for x less than 3, equals x squared for x between 3 and 5 inclusive, and equals 2 times x plus 15 for x greater than 5 find f '(x) and give its domain.

Answer:

[tex]H=210.25\ \text{units}[/tex]

Step-by-step explanation:

Given that,

[tex]H = -16t^2 + 84t + 100[/tex] ...(1)

We need to find the maximum height

For maximum height, put dH/dt = 0

[tex]\dfrac{d(-16t^2 + 84t + 100)}{dt}=0\\\\-32t+84=0\\\\t=\dfrac{84}{32}\\\\t=2.625\ s[/tex]

Put t = 2.625 in equation (1)

[tex]H = -16(2.625)^2 + 84(2.625) + 100\\\\=210.25\ \text{units}[/tex]

Hence, the maximum height [tex]=210.25\ \text{units}[/tex]

Answer:

0.048

explanation:

Answer:

A and c

Step-by-step explanation:

Answer and Step-by-step explanation:

This is the first quadrant.                   ^

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                         Q2                              |                                    Q1

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<--------------------------------------------------|------------------------------------------------------->

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                         Q3                              |                                     Q4

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                                                           V

So, anything in the first quadrant would be positive (for both values of x and y).

That means E and F are the correct choices, since both (4, 8) and (2, 2) are positive and would be found in the first quadrant.

#teamtrees #WAP (Water And Plant)

Answer:

answer choice a

Step-by-step explanation:

..............

The greatest number of biscuits Hamid can make is 28.

The first step is to determine the quantity of each ingredient needed to make 1 biscuits.

Now determine the number of biscuits that can be made using each of the ingredients

To learn more about ratios, please check: https://brainly.com/question/19257327

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Answer:

sam and eric are going on a trip and thought to rent a car. they have to pay a fee of 30 dollars and an extra 7 dollar for each hour they take. sam and eric's are planned to spend $205 or less. how many hours can eric and sam rent the car?

Step-by-step explanation:

first assign a value for the variable, I will take H as hours

Answer:

Sorry i dont know

Step-by-step explanation:

Answer:

x = 3.8 , y = 0.2

Step-by-step explanation:

Answer:

[tex]\huge\boxed{x=\dfrac{19}{5};\ y=\dfrac{1}{5}\to\left(\dfrac{19}{5};\ \dfrac{1}{5}\right)}[/tex]

Step-by-step explanation:

[tex]\left\{\begin{array}{ccc}3x-2y=11&|\text{multiply both sides by (-2)}\\x-4y=3\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}-6x+4y=-22\\x-4y=3\end{array}\right}\qquad|\text{add both sides of the equations}\\.\qquad-5x=-19\qquad|\text{divide both sides by (-5)}\\.\qquad\boxed{x=\dfrac{19}{5}}[/tex]

[tex]\text{Substitute it to the second equation}\\\\\dfrac{19}{5}-4y=3\qquad|\text{multiply both sides by 5}\\\\19-20y=15\qquad|\text{subtract 19 from both sides}\\\\-20y=-4\qquad|\text{divide both sides by (-20)}\\\\y=\dfrac{4}{20}\\\\\boxed{y=\dfrac{1}{5}}[/tex]

Answer:

a-4

b-3

c-1

Step-by-step explanation:

Answer:

$10.00 - 2 bagels and 4 cupcakes

$11.60 - 4 juices and 4 bagels

$12.50 - 5 juices and 4 bagels

$15.00 - 4 sandwhiches and 2 cupcakes

Also, Why does everyone like bagels so much???????

Answer:

?

Step-by-step explanation:

Answer:

x=(y .91)

Step-by-step explanation:

1 yard means only 1 x

.91 meters which is y

Answer: x=5, choice D

Step-by-step explanation:

you have two vertical angles

11x=55

55/11=5

x=5

Answer:

F=6*24/8.....F=6*3=18

Answer:

The nth term will be:

Step-by-step explanation:

Given the sequence

-5, -15, -25, ...

An arithmetic sequence has a constant difference 'd' and is defined by  

[tex]a_n=a_1+\left(n-1\right)d[/tex]

computing the differences of all the adjacent terms

[tex]-15-\left(-5\right)=-10,\:\quad \:-25-\left(-15\right)=-10[/tex]

The difference between all the adjacent terms is the same and equal to

[tex]d=-10[/tex]

The first element of the sequence is:

[tex]a_1=-5[/tex]

Thus, the nth term will be:

[tex]a_n=a_1+\left(n-1\right)d[/tex]

substituting the values [tex]d=-10[/tex]; [tex]a_1=-5[/tex]

[tex]a_n=-10\left(n-1\right)-5[/tex]

[tex]a_n=-10n+5[/tex]

Plug in n = 93 to determine the nth term

[tex]a_{93}=-10\left(93\right)+5[/tex]

[tex]a_{93}=-930+5[/tex]

[tex]a_{93}=-925[/tex]

Therefore, the nth term will be:

We are to simplify the expression given

The simplified form of the expression is option B. 67/10x + 9

Given:

= 3(7/5x + 4) - 2(3/2 - 5/4x)

= [tex] \frac{21}{5} x + 12 - \frac{6}{2} - \frac{10}{4} x[/tex]

= 21/5x + 12 - 6/2 + 10/4x

collect like terms

= 21/5x + 10/4x + 12 - 6/2

= (84x+50x)/20 + (24-6)/2

= 134/20x + 18/2

= 67/10x + 9

Read more:

https://brainly.com/question/1280754

Answer: 67/10x + 9 would be your answer.

Answer:

X = 0

Y = 3.25

Step-by-step explanation:

Hope this helps. Pls give brainliest.

Answer:

x = 0

y = 3.25

Step-by-step explanation:

You can do elimination. Multiply (9x + 4y = 13) by 2

4x - 8y = -26

18x + 8y = 26

22x = 0

x = 0

4(0) - 8y = -26

-8y = -26

y = 3.25

Answer:

9

Step-by-step explanation:

Answer:

Step-by-step explanation:

the answer is 9.575

Answer:

I believe X= 15

Step-by-step explanation:

Answer:

$159.1

Step-by-step explanation:

Given that:

Original price of surfboard = $199

Reduction of price done = 10%

Then a coupon is used by a customer for $20 off.

To find:

How many dollars were paid by the customer?

Solution:

First of all, let us find the price after the reduction of 10% from the original price.

10% of $199 = [tex]\frac{10}{100}\times 199 = \$19.9[/tex]

This price is reduced from the original price.

Price after reduction = $199 - $19.9 = $179.1

Now, again there is coupon of $20.

Therefore, final price that the customer had to pay = $179.1 - $20 = $159.1

Answer:

Gay.

Step-by-step explanation:

I means gay, some people just refer to that but most commonly known as 'gay'.

The length of the octagon is 6cm, the area is given by 3h and the height is 7.23 cm.

A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices.

In a triangle, the sum of all three angles is 180°

Triangle is a very common figure to deal with our daily life for example in our daily life to measure the height of any tower then there is a huge application of the right angle triangle.

Given the octagon with a perimeter of 48 cm

Let's say the length of each side is a

Perimeter = 8a

8a = 48

a = 6cm

Now,

The area of the triangle is given by

A = 1/2  × Base × Height

A = 1/2  × 6 × h

A = 3h

Now

A = 3h and the area is 21.7 cm²

So,

h = 21.7/3 = 7.23 cm

Hence "The length of the octagon is 6cm, the area is given by 3h and the height is 7.23 cm".

For more information about triangles,

https://brainly.com/question/2773823

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Given question is missing an image of the octagon is given below;

Answer:

[tex]2 \sqrt{15} [/tex]

Answer:

The answer correct answer is 1/30

Step-by-step explanation:

Answer:

1/30

Step-by-step explanation:

Answer: hope this helps .

Step-by-step explanation:

Answer:

x = 60

Step-by-step explanation:

The two angles shown here are known as corresponding angles. This means they both equal the same amount of degrees. Knowing this, we can set up an equation:

2x + 15 = 135

2x = 120

x = 60

Therefore, x = 60

You can check your answer by substituting the answer for x:

2(60) + 15 = 135

120 + 15 = 135

135 = 135

Answer:

The sum is -14

Step-by-step explanation:

To solve this problem , first you should look at key words. The key word is SUM. What does sum mean? Sum means ADDING or addition. So,  you know what operation to use and then ADD the values of the 3 cards. -12+3+-5 = -14.

So the sum of the values are Of LuAnn's three cards is -14.   Hope it helps!

                                             ~ Happy holidays