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:
We cannot solve this.
Step-by-step explanation:
There is no equation to plug x in.
For example,
x + 7 = y
If x = 30, 30 + 7 = 37
Hope this helps!
A ramp is 17 feet long, rises 8 feet above the floor,
and covers a horizontal distance of 15 feet,
as shown in the figure.
(First box)
A. Sin B = 8/17
B. Cos B = 15/17
C. Sin A = 15/17
(Second box)
A. Sin B = 8/17
B. Cos B = 15/17
C. Cos A = 8/17
Hope this helps!
Answer:
Yes, there is evidence to support that claim that instructor 1 is more effective than instructor 2
Step-by-step explanation:
We can conduct a hypothesis test for the difference of 2 proportions. If there is no difference in instructor quality, then the difference in proportions will be zero. That makes the null hypothesis
H0: p1 - p2 = 0
The question is asking whether instructor 1 is more effective, so if he is, his proportion will be larger than instructor 2, so the difference would result in a positive number. This makes the alternate hypothesis
Ha: p1 - p2 > 0
This is a right tailed test (the > or < sign always point to the critical region like an arrowhead)
We will use a significance level of 95% to conduct our test. This makes the critical values for our test statistic: z > 1.645.
If our test statistic falls in this region, we will reject the null hypothesis.
<u>See the attached photo for the hypothesis test and conclusion</u>