factor 2n^(3)+7n^(2)-2n-7
2n^(3)+7n^(2)-2n-7
factor by grouping
2n^3 -2n + 7n^2-7
2n(n^2-1) + (7(n^2-1)
factor n^2-1 out
(n^2-1) (2n+7)
factor (n^2-1)
(n-1) (n+1) (2n+7)
Answer:
x is 64
Step-by-step explanation:
give the award to the guy with a becaus3
The populationdensityof the city which is the ratio of populationsizeand the landareais 1419 people per square mile.
The population of the city on 2015 can be calculated thus :
The population of a city is calculated using the relation :
Therefore, the populationdensityis 1419people per square mile.
Learn more: brainly.com/question/18796573
Side lengths: RS=7 and ST=7, and angle=90 degrees
Why?
Since second coordinates of R and S are the same so we can just count the length by adding first coordinate of R and first coordinate of S= |-3|+4=7
Since first coordinates of R is the same as first coordinate of T so we can just count the length by adding second coordinates of S and T=5+|-2|=7
Angle: RST is =90 degrees because triangle RST is right angled triangle. Why? Because RS is parallel to X axis(the same second coordinates of R and S) and ST is parallel to Y axis(the same coordinates of S and T) .
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B. At the rate given, how many kilometers can Mikaela bike in 1 hour?
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c. If Mikaela runs for 1 hour and bikes for 1 hour at the rates given, how far will she travel?
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Mikaela can run 10 kilometers in 1 hour.
Mikaela can bike 25 kilometers in 1 hour.
If Mikaela runs for 1 hour and bikes for 1 hour at the given rates, she will travel a totaldistance of 35 kilometers.
We have,
A.
To find the number of kilometers Mikaela can run in 1 hour, we can set up a proportion using the information given:
5 kilometers / 0.5 hour = x kilometers / 1 hour
Cross-multiplying, we get:
(5 kilometers) x (1 hour) = (0.5 hour) x (x kilometers)
Simplifying:
5 kilometers = 0.5x kilometers
To isolate x, we can divide both sides of the equation by 0.5:
5 kilometers / 0.5 = x kilometers
x = 10 kilometers
B.
Similarly, to find the number of kilometers Mikaela can bike in 1 hour, we can set up a proportion:
20 kilometers / 0.8 hour = x kilometers / 1 hour
Cross-multiplying:
(20 kilometers) x (1 hour) = (0.8 hour) x (x kilometers)
Simplifying:
20 kilometers = 0.8x kilometers
Dividing both sides by 0.8:
20 kilometers / 0.8 = x kilometers
x = 25 kilometers
C.
To find the totaldistance Mikaela will travel if she runs for 1 hour and bikes for 1 hour, we can simply add the distances:
Distance = distance run + distance biked
Distance = 10 kilometers + 25 kilometers
Distance = 35 kilometers
Therefore,
Mikaela can run 10 kilometers in 1 hour.
Mikaela can bike 25 kilometers in 1 hour.
If Mikaela runs for 1 hour and bikes for 1 hour at the given rates, she will travel a totaldistance of 35 kilometers.
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