Answer:
9
Step-by-step explanation:
List out the factors of the three numbers.
18: 1, 2, 3, 6, 9, 18
36: 1, 2, 3, 4, 6, 9, 12, 18, 36
45: 1, 3, 5, 9, 15, 45
The largest number that all three of these lists share is 9, so 9 is the GCF.
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Answer: 2 days
Step-by-step explanation:
The monkeys eat 3 ²/₃ buckets of bananas each day. Convert this to an improper fraction:
= 3²/₃ = 11/3 buckets per day
The zookeeper bought 7¹/₃ which is:
= 22/3 buckets
To find out the number of days the bananas will last, divide the buckets bought by the buckets eaten per day:
= 22/3 ÷ 11/3
= 22/3 * 3/11
= 66/33
= 2 days
<em>If dividing fractions, multiply by the reciprocal of the second fraction. </em>
<span>7^2•3^2+(1+2)^0•3-4^2•1
= 49</span>•9 + 1•3 - 16<span>•1
= 441 + 3 - 16
= 428</span>
Answer:
solution set of f(x) = g(x) is x∈{0,1}
Step-by-step explanation:
For all exponential functions b^x,
b^0 is always 1, and b^1 is always b.
f(x) = -3/4 x + 2
g(x) = (1/4)^x + 1
g(0) = 2, f(0) = 2
g(1) = 5/4, f(1) = 5/4
Hope you won't be turned off by a correction, but we really need to use the symbol " ^ " to denote exponentiation.
Thus, we have x^2 = 100
Taking the square root of both sides, we get x = plus or minus 10. Verify, please, that both x = -10 and x = +10 satisfy the given equation.