Answer:
C) 4x^2 -8x +4[/tex]
Step-by-step explanation:
(-2x+2)^2
we apply (a+b)^2 formula
a= -2x and b= 2
Replace 'a' with -2x and 'b' with 2
(-2x)^2 is 4x^2
option C is the answer
The value of r so the line that passes through (-5,2) and (3,r) has a slope of -1/2 is -2
<u>Solution:</u>
Given that line is passing through point (-5, 2) and (3, r)
Slope of the line is 
Need to determine value of r.
Slope of a line passing through point 
is given by following formula:
--- eqn 1
On substituting the given value in (1) we get
Hence the value of "r" is -2
5 x 3²⁴ bacteria will there be after one day.
What is exponents?
Exponentiation could be a calculation, written as bⁿ, involving 2 numbers, the bottom b and also the exponent or power n, and pronounced as "b to the n".
Consider what is actually happening in the question.
You begin with 5 bacteria, and after 1 hour it has tripled so you now have
5x 3=15.
Next hour, it triples again so you now have 5 x 3 x 3=45
You can see the pattern shows that the number of bacteria is multiplying every hour by a factor of 3. An exponent denotes how many times we are multiplying a number by itself, for example: 3⁴ means we are multiplying the number 3 a total of 4 times (3 x 3 x 3 x 3).
Therefore the question is requiring us to triple the number of bacteria every hour for 24 hours, which means we are multiplying by 3 a total of 24 times. This gives us:
n x 324 where n is the number of bacteria you begin with.
Since you begin with 1 bacteria, the solution is 5 x 3²⁴.
Hence 5 x 3²⁴ bacteria will there be after one day.
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- From the table showing in the diagram, Let's pick the data in the first row:
Time = 3 hours
Money earned = $45
- The amount of money Carl earns per hour is calculated as:
3 hours = $45
1 hour = ?
Cross Multiply
1 hour x $45 / 3 hours
= $15
- Let's confirm our answer using the data in the last column
Time = 10 hours
Money earned = $150
The amount of money Carl earns per hour is calculated as:
10 hours = $150
1 hour = ?
Cross Multiply
1 hour x $150 / 10 hours
= $15
Therefore, the amount of money Carl earns per hour is $15
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Answer:
47
Step-by-step explanation:
180 - 133 = 47
