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:
Z = -1.2 ( It is below the group mean), The sudent performed less than average.
Step-by-step explanation:
From the question,
Applying
Z = (x-μ)/σ........................ Equation 1
Where Z = z-score, x = observed score or raw score, μ = mean of the score, σ = standard deviation of the score
Given: x = 55 marks, μ = 70, σ = 12
Substitute these values into equation 1
Z = (55-70)/12
Z = -15/12
Z = -1.25
Hence the z- score is negative, meaning it is below the group mean, I.e the student who get 55 marks, performed less than average
20,000 is the answer! have a nice day.
Answer:
<h2>C</h2>
Step-by-step explanation:
using the pythagorian theorem, we know that a^2+b^2=c^2. inputting the numbers into this equation, we get
8^2+23^2=c^2
then, using our big math brains, we get 64+529=c^2
adding together the numbers, we end up with 593
just take the sqyare root of that and bada bing bada boom! you get 24.35, or 24.4, therefore the answer is C
<span>There are 53 dimes in Jonahs piggy bank. You must use algebra to solve for a variable X as follows:
x.10+(91-X).05=7.2
Solving through will yield X =53 which means 91 - 53 = 38.
53*.10 + 38*.05 = $7.20.
Other methods will also work, but this is the most straight forward.</span>
