Answer:
s > -3
Step-by-step explanation:
-2s < 6
Divide both sides of the inequality by -2. Remember that when you multiply or divide both sides of an inequality by a negative number, the inequality sign changes direction.
s > -3
Answer: s > -3
I assume your question amounts to finding the period of f(t)=8sin(4 pi t). A period L is a positive number such that f(t+L)=f(t) for all t. Since sin(x) is 2 pi perodic we can find the least number L such that 4pi(t+L)=4*pi*t+2*pi. Multiplying out we get
4pi(t+L)=4*pi*t+4*pi*L and we want to find L such that we get 4*pi*t+2*pi, notice if we take L=1/2 we get the desiered result 4*pi*t+4*pi*1/2=4*pi*t+2*pi. This proves that L=1/2 and your function has a period of 1/2.
The correct answer is f(x) = –x + 1
From the given attachment, the triangles are similar.
45/(6x + 4) = 90/(4x + 56)
45(4x + 56) = 90(6x + 4)
180(x + 14) = 180(3x + 2)
3x - x = 14 - 2
2x = 12
x = 12/2 = 6
Length of midsegment = 6x + 4 = 6(6) + 4 = 36 + 4 = 40
The greatest number of skateboards that can be stored would be the number that is the highest common factor of 8, 12, and 16
Factors of 8 = 1, 2, 4, 8
Factors of 12 = 1, 2, 3, 4, 6, 12
Factors of 16 = 1, 2, 4, 8, 16
The highest common factor = 4
Hence, the greatest numbers of skateboard that can be stored in each section is 4
