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Slav-nsk [51]
3 years ago
8

Factor completely 2x^2 − 18.

Mathematics
1 answer:
777dan777 [17]3 years ago
3 0

Answer:

2(x+3)(x-3)

Step-by-step explanation:

The first step is to factor out a 2 as it is a common factor of both terms

2(x^2-9)\\

That is a difference of squares so

2(x+3)(x-3)

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You invest $1600 in an account paying 5% interest compounded daily. What is the account's effective annual yield? Assume 360 day
Pavlova-9 [17]

Answer:

5.13%.

Step-by-step explanation:

Amount  accumulated in 1 year

= 1600(1 + 0.05/360)^360

= $1682.03

Account's effective annual yield

= 82.03 * 100  / 1600 %

= 5.13%.

3 0
3 years ago
Vera and her roommates ate 1 1/3 pints of ice cream on Friday night and 1 1/6 pints of ice cream on Saturday night. How many pin
Andreas93 [3]

1 1/3 + 1 1/6

 add the 1 +1 = 2

add 1/3 + 1/6 ( find common denominator, which in this case is 6)

 so 1/3 becomes 2/6

2/6 + 1/6 = 3/6 which reduces to 1/2

 they ate  2 1/2 pints total

3 0
3 years ago
Use the definition of logarithm to simplify each expression.
konstantin123 [22]
1)\ \ \ log 10 ^{10}=x\ \ \ \Leftrightarrow\ \ \ 10^x=10^{10}\ \ \ \Leftrightarrow\ \ \ \ \ \ x=10\\\\2) \ \ \ log 10 ^{100}=x\ \ \ \Leftrightarrow\ \ \ 10^x=10^{100}\ \ \ \Leftrightarrow\ \ \ x=100\\ \\ 3)\ \ \ log 10 ^ {10-4}=x\ \ \ \Leftrightarrow\ \ \ 10^x=10^{10-4}\ \ \ \Leftrightarrow\ \ \ x=6
7 0
3 years ago
Someone please help!!!
scZoUnD [109]

Answer:

45 out of every 100

Step-by-step explanation:

45% of 100 is 45

hope this helps!

6 0
3 years ago
Express in exponential form. log2(x)=3
igomit [66]
The relationship between logarithms and exponentials is that they are inverses of each other. That is, they are reflected about the line y = x.
In order to rewrite logarithms, we need to understand the basic fundamentals of them:
log_ab = y

This is essentially saying: "If we raise a to the y-th power, we get the answer to b".
Using this, we can say:
log_2x = 3 \rightarrow 2^{3} = x
3 0
3 years ago
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