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Zielflug [23.3K]
3 years ago
8

Can someone please help me with this

Mathematics
1 answer:
postnew [5]3 years ago
7 0
<h2>1.</h2><h3>1)</h3>

Put the given values of p and q in the factored form equation.

... f(x) = (x -(-1))(x -(-2)) . . . . p and q values put in

... f(x) = (x +1)(x +2) . . . . . . .simplified

<h3>2)</h3>

Multiplying the factors, we have

... f(x) = x(x +2) + 1(x +2) = x² +2x +1x +2

... f(x) = x² +3x +2

<h2>2.</h2>

We want to factor x³ -x² -6x. We notice first of all that x is a factor of all terms. Thus we have

... = x(x² -x -6)

Now, we're looking for factors of -6 that add up to -1. Those are -3 and 2. Thus the factorization is ...

... = x(x -3)(x +2)

<h2>3.</h2>

We want a description of the structure and an equivalent expression for

... 64x⁹ -216

We note that 64, 216, and x⁹ are all cubes, so this expression is ...

... the difference of cubes.

It can be rewritten to

... = 8((2x³)³ -3³)

and so can be factored as

... = 8(2x³ -3)(4x⁶ +6x³ +9)

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What is 5x^2-7x-3=8 by solving using a graph???
Alinara [238K]
Hello!

Simplifying
5x2 + -7x + -3 = 8

Reorder the terms:
-3 + -7x + 5x2 = 8

Solving
-3 + -7x + 5x2 = 8

Solving for variable 'x'.

Reorder the terms:
-3 + -8 + -7x + 5x2 = 8 + -8

Combine like terms: -3 + -8 = -11
-11 + -7x + 5x2 = 8 + -8

Combine like terms: 8 + -8 = 0
-11 + -7x + 5x2 = 0

Begin completing the square. Divide all terms by
5 the coefficient of the squared term:

Divide each side by '5'.
-2.2 + -1.4x + x2 = 0

Move the constant term to the right:

Add '2.2' to each side of the equation.
-2.2 + -1.4x + 2.2 + x2 = 0 + 2.2

Reorder the terms:
-2.2 + 2.2 + -1.4x + x2 = 0 + 2.2

Combine like terms: -2.2 + 2.2 = 0.0
0.0 + -1.4x + x2 = 0 + 2.2
-1.4x + x2 = 0 + 2.2

Combine like terms: 0 + 2.2 = 2.2
-1.4x + x2 = 2.2

The x term is -1.4x. Take half its coefficient (-0.7).
Square it (0.49) and add it to both sides.

Add '0.49' to each side of the equation.
-1.4x + 0.49 + x2 = 2.2 + 0.49

Reorder the terms:
0.49 + -1.4x + x2 = 2.2 + 0.49

Combine like terms: 2.2 + 0.49 = 2.69
0.49 + -1.4x + x2 = 2.69

Factor a perfect square on the left side:
(x + -0.7)(x + -0.7) = 2.69

Calculate the square root of the right side: 1.640121947

Break this problem into two subproblems by setting
(x + -0.7) equal to 1.640121947 and -1.640121947.

Subproblem 1
x + -0.7 = 1.640121947

Simplifying
x + -0.7 = 1.640121947

Reorder the terms:
-0.7 + x = 1.640121947

Solving
-0.7 + x = 1.640121947

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '0.7' to each side of the equation.
-0.7 + 0.7 + x = 1.640121947 + 0.7

Combine like terms: -0.7 + 0.7 = 0.0
0.0 + x = 1.640121947 + 0.7
x = 1.640121947 + 0.7

Combine like terms: 1.640121947 + 0.7 = 2.340121947
x = 2.340121947

Simplifying
x = 2.340121947

Subproblem 2
x + -0.7 = -1.640121947

Simplifying
x + -0.7 = -1.640121947

Reorder the terms:
-0.7 + x = -1.640121947

Solving
-0.7 + x = -1.640121947

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '0.7' to each side of the equation.
-0.7 + 0.7 + x = -1.640121947 + 0.7

Combine like terms: -0.7 + 0.7 = 0.0
0.0 + x = -1.640121947 + 0.7
x = -1.640121947 + 0.7

Combine like terms: -1.640121947 + 0.7 = -0.940121947
x = -0.940121947

Simplifying
x = -0.940121947

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {2.340121947, -0.940121947}
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3 years ago
Does anyone know this question???
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Answer:

B

Step-by-step explanation:

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Lunna [17]

Answer:

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Step-by-step explanation:

96/16  

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3 years ago
-3 &lt; 5 true or false
irakobra [83]

Answer:

true

Step-by-step explanation:

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draw a short roller coaster on graph paper, plot ordered pairs on its path, and determine the slope, or rate of change, along th
UNO [17]

Answer: Soliciting help from outside sources is a violation of your school's Honor Code and academic integrity agreement.

Step-by-step explanation:

Do your best and work with your teacher to ensure that you understand the requirements of this project and are prepared to submit great work!

5 0
3 years ago
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