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3 years ago

L(x) = 2(2x + 1)3(2 – 2x)3 Leading term!!

1 answer:

4 0

The leading term is 18, since the term on the right can be simplifies to 18(2x+1)(2-2x). 18 is the first term in the sequence.

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The sum of 2 numbers is equal to 10. The difference between those same two numbers is equal to -4 find the numbers.

Akimi4 [234]

Answer:

3 and 7

Step-by-step explanation:

For problems like these I take the largest number in this case 10, and start writing out what 2 numbers would give me 10. 0+10, 1+9, 2+8, 3+7...while doing that I subtract the numbers as well. thus 3+7=10 3-7=-4

8 0

3 years ago

Two boats leave port at noon. Boat 1 sails due east at 12 knots. Boat 2 sails due south at 8 knots. At 2 pm the wind diminishes

Ivan

Answer:

14.86 knots.

Step-by-step explanation:

<em>Given that:</em>

The boats leave the port at noon.

Speed of boat 1 = 12 knots due east

Speed of boat 2 = 8 knots due south

At 2 pm:

Distance traveled by boat 1 = 24 units due east

Distance traveled by boat 2 = 16 units due south

Now, speed of boat 1 changes to 9 knots:

At 3 pm:

Distance traveled by boat 1 = 24 + 9= 33 units due east

Distance traveled by boat 2 = 16+8 = 24 units due south

Now, speed of boat 1 changes to 8+7 = 15 knots

At 5 pm:

Distance traveled by boat 1 = 33 + 2 $\times$ 9= 51 units due east

Distance traveled by boat 2 = 24 + 2 $\times$ 15 = 54 units due south

Now, the situation of distance traveled can be seen by the attached right angled $\triangle AOB$ .

O is the port and A is the location of boat 1

B is the location of boat 2.

Using pythagorean theorem:

$\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}\\\Rightarrow AB^{2} = OA^{2} + OB^{2}\\\Rightarrow AB^{2} = 51^{2} + 54^{2}\\\Rightarrow AB^{2} = 2601+ 2916 = 5517\\\Rightarrow AB = 74.28\ units$

so, the total distance between the two boats is 74.28 units.

Change in distance per hour = $\dfrac{Total\ distance}{Total\ time}$

$\Rightarrow \dfrac{74.28}{5} = 14.86\ knots$

6 0

3 years ago

The price of a notebook is 20% less than the price of a book. By what percent is the price of the book higher than the price of

TiliK225 [7]

The price of the book is 125% higher than the price of the notebook if the price of a notebook is 20% less than the price of a book.

<h3>What is the percentage?</h3>

It is defined as the ratio of two numbers expressed in the fraction of 100 parts. It is the measure to compare two data, the % sign is used to express the percentage.

Let x is the price of the book

And y is the price of the notebook,

Then,

y = x- 0.20x = 0.80x

x = (1/0.80)y

x = 1.25y

So x is 1.25 or 125% higher than the, y

Thus, the price of the book is 125% higher than the price of the notebook if the price of a notebook is 20% less than the price of a book.

Learn more about the percentage here:

brainly.com/question/8011401

#SPJ1

6 0

2 years ago

A 1010-ounce package of cashews costs \$ 8.11$8.11, and a 1616-ounce package of cashews costs \$ 12$12.

Tresset [83]

I think the answer is a
I’m not sure

3 0

3 years ago

URGENTE!

vagabundo [1.1K]