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BabaBlast [244]
2 years ago
14

Which statement is true about exponential functions?

Mathematics
1 answer:
Lapatulllka [165]2 years ago
5 0
First you have to sketch out the graph for both the exponential function and the logarithmic function.
Then you will see that the first statement and the second statement is incorrect
Hence the third statement is the correct statement where the x values of the logarithmic function are the y values of the exponential function.
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A bus travels 10km in 15 min if the speed of the bus remains the same how far would the bus travel in 3hrs?
motikmotik

Answer:

120km

Step-by-step explanation:

10km in 15 min

3hrs = 3 x 60 min = 180 min

180min divided by 15min = 12

12 x 10km = 120 km

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. A local electricians union has 540 members. If 65% of the members attended the last meeting, how many members went to the last
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351 members

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2 years ago
URGENT HELP PLEASE!
Vaselesa [24]

Answer:

(a) x=\dfrac{\pi}{8},\dfrac{3\pi}{8},\dfrac{9\pi}{8},\dfrac{11\pi}{8}

(b) x=\dfrac{3\pi}{2},\dfrac{\pi}{6},\dfrac{5\pi}{6}

Step-by-step explanation:

It is given that 0\leq x\leq 2\pi.

(a)

\sqrt{2}\sin 2x=1

\sin 2x=\dfrac{1}{\sqrt{2}}

\sin 2x=\dfrac{\pi}{4}

2x=\dfrac{\pi}{4},\dfrac{3\pi}{4},\dfrac{9\pi}{4},\dfrac{11\pi}{4}     [\because \sin x=\sin y\Rightarrow x=n\pi+(-1)^ny]

x=\dfrac{\pi}{8},\dfrac{3\pi}{8},\dfrac{9\pi}{8},\dfrac{11\pi}{8}

(b)

\csc^2 x-\csc x-2=0

\csc^2 x-2\csc x+\csc x-2=0

\csc x(\csc x-2)+1(\csc x-2)=0

(\csc x+1)(\csc x-2)=0

\csc x=-1\text{ or }\csc x=2

\sin x=-1\text{ or }\sin x=\dfrac{1}{2}         [\because \sin x=\dfrac{1}{\csc x}]

x=\dfrac{3\pi}{2}\text{ or }x=\dfrac{\pi}{6},\dfrac{5\pi}{6}

Therefore, x=\dfrac{3\pi}{2},\dfrac{\pi}{6},\dfrac{5\pi}{6}.

5 0
2 years ago
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