Factor by grouping. Group up the terms into pairs, factor each pair, then factor out the overall GCF.
x^3 + 2x^2 - 16x - 32
(x^3 + 2x^2) + (-16x-32) ... pair up terms
x^2(x + 2) + (-16x - 32) ... factor x^2 from the first group
x^2(x + 2) - 16(x + 2) ... factor -16 from the second group
(x^2 - 16)(x + 2) .... factor out (x+2)
(x - 4)(x + 4)(x + 2) .... Use the difference of squares to factor x^2-16
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The original expression completely factors to (x - 4)(x + 4)(x + 2)
The three factors are x - 4 and x + 4 and x + 2
Answer: c.A is the set of rational numbers
Step-by-step explanation:
B ⊆ A means that every element of B is an element of A
B = { -13 , -9 , -7 , - 3 }
The element of B are negative integers , this mean that the element of A must also be integers therefore :
Option a is correct.
Option b is also correct
Rational numbers are numbers that can be express in the form a/b , examples are : 1/2 , 3/ 4 , 5/6 ...
clearly , this does not necessarily define A , so option c is the odd one out
Answer:
$43.20
Step-by-step explanation:
A swimsuit that originally cost $90 before any discount is on sale for 20% off.
X = price of swimsuit
X = 90
20% off = 90 * 0.8 = 72
The swimsuit is then put on clearance for an additional 40 % off the sale price.
72 * 0.6 = 43.2
what is the final price?
$43.20
Answer:
<h3>Option D) 3 is correct</h3><h3>Therefore the value of x is 3</h3>
Step-by-step explanation:
Given equation is 
<h3>To find the value of x :</h3>
First solving the given equation we have,
( by using the property 
)
( by using the property 
)
( by using the property 
)
Since bases are same so powers are same
Therefore we can equate the powers we get x=3
<h3>Therefore the value of x is 3</h3><h3>Option D) 3 is correct</h3>
Answer:
The numbers should be A. 5 and C. 0.
Hope I Helped
