Factor
in form
ax²+bx+c form
use the ac method
1. mulitply a and c
2. factor the result such that the 2 factors add to b
3. split b into those 2 factors
4. group the terms
5. undistribute common factors
6. undistribute again
first multiply ac
4 times 5=20
now
what 2 numbers multiply to 20 and add to 12
2 and 10
4x²+2x+10x+5
group
(4x²+2x)+(10x+5)
undistribute
2x(2x+1)+5(2x+1)
undistribute the (2x+1)
(2x+1)(2x+5) is factored form whih you have there, nice
Answer:
1/2 !
Step-by-step explanation:
Since it's going up, we know its positive, but if you use RISE/RUN, you would go up 1, then over two, from any point. That makes it 1/2! I went up from the y axis to the next point on the line. I hope that makes sense, but the answer is 1/2!
Have a nice day :D
Answer:
C and D
Step-by-step explanation:
Population density is the ratio of population to area. Its units are persons per square mile. Here, you're being asked to compare the population densities of several countries to the average population density in several US states.
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<h3>average</h3>
The idea of "average population density of the 10 states listed" is somewhat ambiguous. It could mean either of (a) the ratio of the total of the states' population to the total of their land area, or (b) the average of the population densities of the states. (In the attached, we computed both, but the answer remains the same using either number.)
When there are numerous identical calculations to be performed, it is convenient to let a spreadsheet do them. The attached spreadsheet shows the population densities for the 10 states and 5 countries listed.
Depending on how you define it, the average population density of the 10 states is about 10.5 or about 15.7 people per square mile. (15.7 is the average of the density numbers, found using the spreadsheet AVERAGE function.)
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<h3>countries</h3>
The 5 countries have population densities ranging from about 7.7 to 236 people per square mile. Two of the countries have density below 10.5, so are the answers to the question asked.
Canada (C) and Iceland (D) have population density below the US state average.
Answer:
It should take somewhere between 8 to 9 minutes to decay until there are 30 grams remaining.
keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above
well then therefore
so we're really looking for the equation of a line with slope of -1/3 and that passes through (1, -3 )