Answer:
Step-by-step explanation:
Any number divided by itself is 1. In the expression-1 times -10 over -1 times -60 ,the -1s in the numerator and the denominator cancel each other out to give the result , or 6.
Answer:
<u>Option D. The student is completely incorrect because there is no solution to this inequality. </u>
Step-by-step explanation:
<u>The question is as following:</u>
A student found the solution below for the given inequality.
|x-9|<-4
x-9>4 and x-9<-4
x>13 and x<5
Which of the following explains whether the student is correct?
A. The student is completely correct because the student correctly wrote and solved the compound inequality.
B. The student is partially correct because only one part of the compound inequality is written correctly.
C. The student is partially correct because the student should have written the statements using “or” instead of “and.”
D. The student is completely incorrect because there is no solution to this inequality.
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Given: |x-9| < -4
We should know that the out put of modulus always will be greater than or equal to zero.
So, The inequality always will not be true (unlogic condition)
So, There is no solution to this inequality.
The answer is option D
D. The student is completely incorrect because there is no solution to this inequality.
Answer:
-6
Step-by-step explanation:
the x value is just plugging that number in for x so
-3x-8=10 (add 8 to both sides) so
-3x=18 (divide by -3 on both sides) so
x=-6
Answer:
k=-j=15
Step-by-step explanation:
See attachment for step by step :)
The equation which models the distance (d) of the weight from its equilibrium after time (t) is equal to d = -9cos(2π/3)t.
<h3>What is the period of a cosine function?</h3>
The period of a cosine function simply means the total length (distance) of the interval of values on the x-axis over which a graph lies and it's repeated.
Since the weight attached is at its lowest point at time (t = 0), therefore, the amplitude of equation will be negative nine (-9)
For the angular velocity at time period (t = 3s), we have:
ω = 2π/T
ω = 2π/3
Mathematically, the standard equation of a cosine function is given by:
y = Acos(ω)t
Substituting the given parameters into the formula, we have;
d = -9cos(2π/3)t.
Read more on cosine function here: brainly.com/question/4599903
