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2 years ago

Someone plz help with 2 execises

Mathematics

1 answer:

denis-greek [22]2 years ago

3 0

Answer:

see explanation

Step-by-step explanation:

$(6x^3 - 12x^2 + 4x): (-2x) + (12x^4 -8x^3): (-4x^3) = -3x * (x - 1)$

$(x + y)(x + 2y) + \frac{1}{2}(x + y) -3x^3y(1+y^2): x^2 = \frac{2x^2 - 6xy^3 + x + 4y^2 + y}{2}$

hope this helps.

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Is the airplanes altitude a function of time

Natali5045456 [20]

Answer:

yes because any input of time results in only one output of altitude

yes because the airplane increases and decreases in altitude at the same rate

pick either one :>

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2 years ago

Aaron tracks the time it takes him to mow lawns by writing coordinate points relating x, the time in hours it takes to mow a law

NARA [144]

Answer:

Slope of this line is given by:

Aaron’s rate for mowing lawns is 0.5 acres per hour

Step-by-step explanation:

It is given that time is tracked by Aaron related to x coordinate.

and the area of land mowed in acres is related to y coordinate.

Two of his points are given as:

(3, 1.5) and (5,2.5)

We know that the coordinates are represented in the form of (x,y)

i.e. first coordinate represents x coordinate and

second coordinate represents y coordinate.

So, it can be observed that:

$x_1=3, y_1=1.5\\x_2=5, y_2=2.5$

Change in x coordinate = $x_2-x_1=5-3 = 2$

i.e. total time taken is 2 hours.

Change in y coordinate = $y_2-y_1=2.5-1.5 = 1$

i.e. total land mowed taken is 1 acre.

In other words, it takes 2 hours for Aaron to mow 1 acre of land.

So, "option 1) It takes Aaron about 1 hour to mow 2 acres." is incorrect.

Rate of mowing lawn is the land mowed by Aaron in 1 hour.

Land mowed in 2 hours = 1 acre

Land mowed in 1 hours = $\frac{1}{2}$ acre i.e. 0.5 acre

Also, slope of a line is given as:

$m = \dfrac{y_2-y_1}{x_2-x_1}$

Here $y_2 - y_1 = 1$

$x_2 - x_1 = 2$

As per formula:

$m = \dfrac{1}{2} = 0.5$

So, option 2) Aaron’s rate for mowing lawns is 0.5 acres per hour.

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2 years ago

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a negaitve 1st derivitive is negative slope or decreasing

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a negative second derivitive means it is concave down at that point
a positive 2nd derivitive means it is concave up at that point

so

first one is false
2nd is true
3rd is false because it could possibly be a minimum as well

answer is 2nd one

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