Answer: (x³ + 3)(x³ - 3)
Explanation: A variable taken to any even power is a perfect square. Its factors will have exponents equal to one-half the original power.
In this case, x⁶ would therefore be a perfect square.
Since 9 is also a perfect square,
what we have here is the difference of two squares.
That can be factored as the product of two binomials,
one with a plus and one with a minus.
So we have ( + )( - ).
Now ask yourself "what are the factors of x⁶ that are the same?"
Remember the rule is that those factors will use
one-half the exponent on the original.
So the factors of x⁶ that are the same are x³ and x³.
The factors of 9 that are the same are 3 and 3.
So our answer is (x³ + 3)(x³ - 3) and that's all there is to it.
Answer:
19
Step-by-step explanation:
The vertical axis of a histogram indicates the total amount of people that meet the weights indicated in the x-axis in the analysed population. From data we can construct the following table:
x-axis y-axis
115 1
135 4
155 3
175 1
195 5
215 2
235 3
So there are: 1+4+3+1+5+2+3 = 19 team members included in the histogram.
Answer:
20
Step-by-step explanation:
Our expression:
2 * (18 + - 8)
Plus then minus (+ -) is the same as just minus ( - )
Some examples:
1 + (+ 1) = 2
1 + (- 1) = 0
1 - (+ 1) = 0
1 - (- 1) = 2
Thus, 18 + - 8 is the same as 18 - 8
2 * (18 + - 8) =
= 2 * (18 - 8) =
= 2* (10) =
= 2 * 10 =
= 20
Answer: 20
Answer:
<em>The shortest side of the fence can have a maximum length of 80 feet</em>
Step-by-step explanation:
<u>Inequalities</u>
To solve the problem, we use the following variables:
x=length of the longer side
y=length of the sorter side
The perimeter of a rectangle is calculated as:
P = 2x + 2y
The perimeter of the fence must be no larger than 500 feet. This condition can be written as:
The second condition states the longer side of the fence must be 10 feet more than twice the length of the shorter side.
This can be expressed as:
x = 10 + 2y
Substituting into the inequality:
This is the inequality needed to determine the maximum length of the shorter side of the fence.
Operating:
Simplifying:
Subtracting 20:
Solving:
The shortest side of the fence can have a maximum length of 80 feet
The answer is either c or b because i think they are the same
