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Andrews [41]
2 years ago
5

Given that f(x) =x^2-3/3 a) Find f(3) b) Find f'(x) c) Find f'(11)

Mathematics
1 answer:
Ber [7]2 years ago
6 0
A) F(3)=3^2-3:3= 9-3:3=9-1=8
B) ?
C) F(11)= 11^2-3:3=121-1= 120

I think this
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Prove that: 5^31–5^29 is divisible by 100.
ANEK [815]

Answer:

See explanation

Step-by-step explanation:

Consider the expression

5^{31}-5^{29}

First, factor it:

5^{31}-5^{29}=5^{29}\cdot(5^2-1)=5^{29}\cdot (25-1)=24\cdot 5^{29}

Note that

100=25\cdot 4

Then

5^{31}-5^{29}=24\cdot 5^{29}=6\cdot 4\cdot 25\cdot 5^{27}=6\cdot 100\cdot 5^{27}

This shows that number 100 is a factor of the expression 5^{31}-5^{29} and, therefore, this expression is divisible by 100.

5 0
3 years ago
A bank loaned out $21,500 , part of it at the rate of 11% annual interest, and the rest at 10% annual interest. The total intere
Luda [366]

Answer:

The loaned amount at 11 % is $ 19,000

The loaned amount at 10 % is $ 2,500

Step-by-step explanation:

Given as :

The total loan amount = $21,500

The total interest earn = $2,340.00

The rate of interest are 11 %  and 10 %

Let The loan amount at 11 % rate = $P

and The loan amount at 10 % rate = $21,500 - $P

Let The loan took for 1 year

Now,<u> From Simple Interest method </u>

Simple Interest = \dfrac{\textrm Principal\times \textrm Rate\times \textrm Time}{100}

SI_1 = \dfrac{P_1\times R_1\times \textrm Time}{100}

Or, SI_1 = \dfrac{P\times 11\times \textrm 1}{100}

Similarly

SI_2 = \dfrac{21,500 - P\times 10\times \textrm 1}{100}

∵  SI_1 +  SI_2 =  $2,340

Or, \dfrac{P\times 11\times \textrm 1}{100} + \dfrac{21,500 - P\times 10\times \textrm 1}{100} = $2,340

Or, 11 P - 10 P + 215000 = 234000

Or, P = 234000 - 215000

∴ P = $ 19,000

And $21,500 - $ 19,000 = $ 2,500

Hence The loaned amount at 11 % is $ 19,000

And     The loaned amount at 10 % is $ 2,500    Answer

8 0
3 years ago
If f(x)=square root x-3, which inequality can be used to find the domain of f(x)? A square root x-3 =&gt;0 B x-3=&gt;0 C square
ser-zykov [4K]
Hello : 
f(x) = √(x-3)
answer: B     x-3 <span>≥ 0</span>
7 0
3 years ago
What’s the answer ????
butalik [34]

Answer:

A-1

Step-by-step explanation:

It perfectly represents the scenario.

4 0
3 years ago
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How many diagonals in parallelogram
Vaselesa [24]

Answer:2

Step-by-step explanation:

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3 years ago
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