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Tamiku [17]
3 years ago
14

If f (x) = x² – 3, then find f (8) =

Mathematics
1 answer:
Mrac [35]3 years ago
7 0

Answer:

61

Step-by-step explanation:

f(8)=8^2-3=64-3=61

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Simplify the following expression using the distributive property
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7z + 84

Step-by-step explanation:

Multiply 7 times z and 12

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What is 19a-3(a-6)=78
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a = 3.75

Step-by-step explanation:

First distribute the -3 to (a - 6), which gives you the equation, 19a - 3a + 18 = 78. Then subtract the 3a from 19a, which gives you 16a + 18 = 78. Then subtract 18 from both sides and you get 16a = 60. Divide 60 by 16 and you get 3.75 as your a.

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alex walked 1 mile in 15 minutes. Sally walked 3520 yards in 24 minutes . in miles per hour , how much faster did sally walk tha
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3 years ago
Use the binomial expression (p+q)^n to calculate a binomial distribution with n=5 and p=0.3.(Show all steps)
Helen [10]

Answer:

The binomial in expanded form is (0.3 + q)^{5} = \frac{243}{100000} + \frac{81}{2000}\cdot q + \frac{27}{100}\cdot q^{2} + \frac{9}{10} \cdot q^{3} + \frac{3}{2}\cdot q^{4} + q^{5}.

Step-by-step explanation:

The Binomial Theorem states that a binomial of the form (a + b)^{n} can be expanded by using the following identity:

(a + b)^{n} = \Sigma \limits^{n}_{k = 0}\,\frac{n!}{k!\cdot (n-k)!}\cdot a^{n-k}\cdot b^{k} (1)

If we know that a = p = 0.3 and n = 5, then the expanded form of the binomial is:

(p+q)^{n} = \frac{243}{100000} + 5\cdot \left(\frac{81}{10000} \right)\cdot q + 10\cdot \left(\frac{27}{1000})\cdot q^{2} + 10\cdot \left(\frac{9}{100} \right)\cdot q^{3} + 5\cdot \left(\frac{3}{10} \right)\cdot q^{4} + q^{5}

(0.3 + q)^{5} = \frac{243}{100000} + \frac{81}{2000}\cdot q + \frac{27}{100}\cdot q^{2} + \frac{9}{10} \cdot q^{3} + \frac{3}{2}\cdot q^{4} + q^{5}

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3 years ago
If chloe has 3200 weekly sales she will earn more money with which option
wel
606 then she will earn more
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