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3 years ago

What is 4 - 3x = 2 ( x - 3)?

Mathematics

1 answer:

Mkey [24]3 years ago

4 0

Steps to solve:

4 - 3x = 2(x - 3)

~Distribute

4 - 3x = (2 * x) + (2 * -3)

~Simplify

4 - 3x = 2x - 6

~Subtract 4 to both sides

4 - 4 - 3x = 2x - 6 - 4

~Simplify

-3x = 2x - 10

~Subtract 2x to both sides

-3x - 2x = 2x - 2x - 10

~Siimplfy

-5x = -10

~Divide -5 to both sides

-5x/-5 = -10/-5

~Simplify

x = 2

Best of Luck!

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Given sinx=45 and cosx=35 . What is ratio for tanx ?

allochka39001 [22]

I guess you mean 4/5 and 3/5

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sin x = opp / hyp = 4/5 so the opposite side is 4
cos x = adj/hyp = 3/5 so the adjacent side = 3

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4 years ago

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If B= -9 and c= - 1/2 , what does bc- c equal? A) -5 B) -4 C) 4 D) 5

fredd [130]

I think maybe c but I’m not sure!

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3 years ago

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Math To Do Ready

emmasim [6.3K]

Answer:

At 1pm, the number of bacteria in the dish is 1,000,000

At 12pm, the number of bacteria in the dish is 500,000

Step-by-step explanation:

Given the information on the table

$\left|\begin{array}{c|c}$Hour&$Number of Bacteria (in millions)\\---&--------------\\12 p.m.&\\1 p.m.&\\12 p.m.&\\2 p.m.&\\3 p.m.&\\4 p.m.&\\5 p.m.&32\\6 p.m.&64\end{array}\right|$

We are to follow the pattern to determine how many million bacteria were in the dish at 1 p.m. and 12 p.m.

Now:

$32=2^5\\64=2^6$

It therefore means that the bacteria population doubles every hour. Following this pattern and reducing the exponents by 1 backwards, we have:

$\left|\begin{array}{c|c}$Hour&$Number of Bacteria (in millions)\\---&--------------\\12 p.m.&2^{-1}=0.5\\1 p.m.&2^0=1\\12 p.m.&2^1=2\\2 p.m.&2^2=4\\3 p.m.&2^3=8\\4 p.m.&2^4=16\\5 p.m.&2^5=32\\6 p.m.&2^6=64\end{array}\right|$

Therefore:

At 1pm, the number of bacteria in the dish is 1,000,000
At 12pm, the number of bacteria is 0.5 million=0.5 X 1,000,000=500,000

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3 years ago

A bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean of 200 and a standard devia

Butoxors [25]

Answer:

Probability that their mean is above 215 is 0.0287.

Step-by-step explanation:

We are given that a bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean of 200 and a standard deviation of 50.

For this, 40 different applicants are randomly selected.

Let X = ratings for credit

So, X ~ N( $\mu=200,\sigma^{2}=50^{2}$ )