Answer:
all real numbers except ±5.
Step-by-step explanation:
Each function (f(x), g(x)) has a domain that is all real numbers. Their quotient (f(x)/g(x)) must exclude values that make g(x) = 0. The quotient is undefined when the denominator is zero. Those excluded values are x = ±5.
The domain of (f/g)(x) is all real numbers except ±5.
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Of course you recognize x^2 -25 = 0 has solutions x = ±√25 = ±5. You can get there two ways:
- add 25 and take the square root: x^2=25; x=±√25.
- factor the difference of squares and set the factors to zero: (x-5)(x+5)=0 has solutions x-5=0 and x+5=0, that is, x = ±5.
Answer:
1. Start with $1 and then double the money you have everyday for 30 days. You would end up with 1,073,741,824 on the 30th day.
Step-by-step explanation:
Why you should choose the first option:
1 x 2 = 2
2 x 2 = 4
4 x 2 = 8
8 x 2 = 16
16 x 2 = 32
32 x 2 = 64
64 x 2 = 128
128 x 2 = 256
256 x 2 = 512
512 x 2 = 1024
1024 x 2 = 2048
2048 x 2 = 4096
4096 x 2 = 8192
8192 x 2 = 16384
16384 x 2 = 32768
32768 x 2 = 65536
65536 x 2 = 131072
131072 x 2 = 262144
262144 x 2 = 524288
524288 x 2 = 1048576
1048576 x 2 = 2097152
2097152 x 2 = 4194304
4194304 x 2 = 8388608
8388608 x 2 = 16777216
16777216 x 2 = 33554432
33554432 x 2 = 67108864
67108864 x 2 = 134217728
134217728 x 2 = 268435456
268435456 x 2 = 536870912
536870912 x 2 = 1073741824
Answer: 3
Step-by-step explanation:
1.5+1.5=3
You are right. Transitivity means, that:
if a = b and b = c, then a = c
(here a = x, b=5 and c = y).
3/4 and 1/3
4x3 = 12 that will be the common denominator.
For 3/4 we first divide 12/4 = 3 and then multiply 3 x3 = 9 that's the numerator
For 1/3 we first divide 12/3 = 4 and then multiply 1x4 = 4 that's the numerator
The fractions will be rewrited as: 9/12 and 4/12
