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3 years ago

Given that f(x)=x2+2x +3 and g(x)=X+4/3, solve for f(g(x)) when X=2

Mathematics

1 answer:

wlad13 [49]3 years ago

5 0

G(2) = 2 + 4/3 = 10/3

f(g(x)) = f(g(2)) = (10/3)^2 + 20/3 + 3 = 187/9 = 20 7/9 answer

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Which choice is equivalent to the expression below?

alekssr [168]

Answer: OPTION A

Step-by-step explanation:

We need to remember that Product of powers property, which states that:

$(a^m)(a^n)=a^{(m+n)}$

Let's check the options:

A. For $5^9*5^{\frac{9}{10}}*5^{\frac{6}{100}}*5^{\frac{9}{1000}}$ you can apply the property mentioned before. Then:

$5^{(9+\frac{9}{10}+\frac{6}{100}+\frac{9}{1000})=5^{9.969}$

(It is the equivalent expression)

B. Add the exponents:

$5^9*5^{(\frac{9}{10}+\frac{9}{10}+\frac{6}{1000})=5^{10.806}$

(It is not the equivalent expression)

C. For $5^9*5^{\frac{96}{10}}*5^{\frac{9}{100}}}$ you can apply the property mentioned before. Then:

$5^{(9+\frac{96}{10}+\frac{9}{100})=5^{18.69}$

(It is not the equivalent expression)

D. We know that $5^{9.969}=9,290,347.808$ and we maje the addition indicated in this option, we get:

$5^9+5^{\frac{9}{10}}+6^{\frac{6}{100}}=1,953,130.37$

(It is not the equivalent expression)

6 0

4 years ago

Read 2 more answers

Log 300 =<br> log 3.26 =<br> log 10,000 =<br> log 20 =

ehidna [41]

Answer:

Log300=2.4771

Log3.26=0.5132

Log10000=4

Log20=1.3010

Step-by-step explanation:

log300=2.4771

Log3.26=0.5132

Log10000=4

Log20=1.3010

4 0

3 years ago

$5,000 is invested at 3% interest. How much money must be invested at 5% interest so that the total interest from the two invest

Nataly [62]

3% interest on 5,000 = 150

275 (the total amount wanted) - 150 (from initial investment)= 125

x (5%) =125
x (0.05)= 125
x/0.05)= 125/0.05
x=2500

you need to invest 2500 at 5% to get the additional 125

125 plus 150= 275

7 0

3 years ago

Read 2 more answers

You have 800 square feet of the room reserved for tables

Sav [38]

I hope this helps for question a=16
I hope this helps for question b=12

8 0

3 years ago

2 divided by square root 13 plus square root 11

coldgirl [10]

Answer: 3.87132498658 in other words 3.871

Step-by-step explanation:

4 0

2 years ago