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2 years ago

9

Use the sequence below to answer parts a and b (8,17,26,35,44,53,...) Create an explicit formula to determine the 12th term of t

he sequence Create a recursive formula to prove the 7th term is 62.

1 answer:

Andreyy892 years ago

8 0

THATS HOW YOU SOLVE THE 12TH AND 7TH TERM

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Evaluate the following expression using the values given: Find −a2 − 3b3 + c2 + 2b3 − c2 if a = 3, b = 2, and c = −3. (1 point)

wariber [46]

The answer is -12
because you just have to simplyfy it and plug in the values

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2 years ago

Is it true that a line with slope 1 always passes through the origin? Explain your reasoning.

elena55 [62]

Well, yes and no.

Yes, because the straight line needs to pass through a number greater than 0, and 1 is obviously greater than 0.

However, y = x + 1 is not the same as y = x.

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2 years ago

The graphs of f(x) and g(x) are shown below:

rosijanka [135]

<h2>Answer:</h2>

Option: C is the correct answer.

C.) x = −3.8, 3

<h2>Step-by-step explanation:</h2>

The function f(x) is given by:

$f(x)=x^2-x-12$

and the function g(x) is given by:

$g(x)=-1.8x-0.6$

Now, we are asked to find the solution of the equation:

$f(x)=g(x)$

i.e. we have to find the value of x such that both the functions are equal i.e.

$x^2-x-12=-1.8x-0.6\\\\i.e.\\\\x^2-x+1.8x-12+0.6=0\\\\i.e.\\\\x^2+0.8x-11.4=0\\\\i.e.\\\\10x^2+8x-114=0\\\\i.e.\\\\5x^2+4x-57=0$

Now, on solving the equation using the quadratic formula i.e. the solution of the equation:

$ax^2+bx+c=0$

is given by:

$x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}$

Here we have:

$a=5,\ b=4\ and\ c=-57$

Hence, the solution is given by:

$x=\dfrac{-4\pm \sqrt{4^2-4\times 5\times (-57)}}{2\times 5}\\\\i.e.\\\\x=\dfrac{-4\pm \sqrt{16+1140}}{10}\\\\i.e.\\\\x=-3.8\ and\ x=3$

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2 years ago

A truck is used to transport gravel. The box on the truck is a rectangular prism 11 ft long, 7 ft wide and 4 ft high. The box do

chubhunter [2.5K]

Answer:

308 cubic feet

Step-by-step explanation:

The box on the truck has dimensions 11 ft by 7 ft by 4 ft.

The volume of the box is:

V = L * W * H

V = 11 * 7 * 4

V = 308 cubic feet

The truck can transport 308 cubic feet of gravel.

8 0

2 years ago

Find the volume of the rectangular prism. Write your answer as a fraction.

suter [353]

Answer:

V = 8/125 cubic units

Step-by-step explanation:

This prism is actually a cube of side length 2/5.

The volume of a cube of side length s is V = s^3.

Here, the volume of the cube (rectangular prism) is V = (2/5)^3, or

V = 8/125 cubic units

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2 years ago