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3 years ago

Which of the following expressions has three factors?

Mathematics

1 answer:

kkurt [141]3 years ago

5 0

Answer:

5(p + 6)(q - 4)

Step-by-step explanation:

Factors are a set of numbers, alphabets or both that when multiplied would give a certain expression.

The expression with three factors is: 5(p + 6)(q - 4)

So that;

5(p + 6)(q - 4) = (5p + 30)(q - 4)

Then,

(5p + 30)(q - 4) = 5pq - 20p + 30q - 120

Therefore, the factorization of 5pq - 20p + 30q - 120 gives the factors; 5(p + 6)(q - 4).

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Determine the value of k

KATRIN_1 [288]

Answer:

$\displaystyle k = 6$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
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Addition Property of Equality
Subtraction Property of Equality

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Function Notation

Algebra II

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Calculus

Limits
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Step-by-step explanation:

Step 1: Define

Identify

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$\displaystyle f(x) = \left \{ {{2x^2 \ if \ x < 2} \atop {x + k \ if \ x \geq 2}} \right.$

Step 2: Solve for k

Definition of Continuity: $\displaystyle \lim_{x \to 2^+} 2x^2 = \lim_{x \to 2^-} x + k$
Evaluate limits: $\displaystyle 2(2)^2 = 2 + k$
Evaluate exponents: $\displaystyle 2(4) = 2 + k$
Multiply: $\displaystyle 8 = 2 + k$
[Subtraction Property of Equality] Subtract 2 on both sides: $\displaystyle 6 = k$
Rewrite: $\displaystyle k = 6$

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Limits - Continuity

Book: College Calculus 10e

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2 years ago

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What is the value of x in the equation Negative 6 x = 5 x + 22? –22 –2 2 22

antiseptic1488 [7]

Answer:

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Step-by-step explanation:

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While playing mini golf, you hit the ball off of a wall to attempt at making it in the hole. The ball is located at (5,4) and th

Marta_Voda [28]

It would be 21,12. If thats how u do the math

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WORTH 20 PTS!!!

Rama09 [41]

For this case we have the following function:
$A (t) = A0e ^ {(kt)}
$
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$
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$A (t) = 22000 * e ^ {(- 0.021 * 5)}

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