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3 years ago

Examine the end behavior of function f(x) as shown in the graph.

Mathematics

2 answers:

mars1129 [50]3 years ago

8 0

Answer:

As x→∞, f(x)→∞, and as x→−∞, f(x)→∞.

Step-by-step explanation:

because as x increases, it goes up into the positive y direction

because as x decreases, it goes up into the positive y direction

mariarad [96]3 years ago

7 0

Answer:

DFbcdrgv

Step-by-step explanation:

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The length of a rectangle is four times its width. If the area of the rectangle is 324m^2, find its perimeter.

Anuta_ua [19.1K]

Answer:

$perimeter=90$

Step-by-step explanation:

We know that the length is four times the width, so:

$l=4w$

We also know the area, which is 324 m². The formula for area:

$A=l*w$

Insert the known values:

$324=(4w)*w$

Solve for w. Simplify by removing parentheses:

$324=4w*w\\324=4w^2$

Divide 4 from both sides to isolate the variable:

$\frac{324}{4}=\frac{4w^2}{4} \\\\81=w^2$

Find the square root of both sides:

$\sqrt{81} =\sqrt{w^2} \\\\w=9$

The width is 9 m.

We know the width. Now find the length by using the area formula and inserting known values:

$324=l*9$

Solve for l. Divide both sides by 9:

$\frac{324}{9}=\frac{l*9}{9}\\\\ l=36$

The length of the rectangle is 36. (You can check: 4 times 9 is 36)

Now find the perimeter:

$P=2l+2w$

Insert values:

$P=2(36)+2(9)\\\\P=72+18\\\\P=90$

The perimeter is 90 m.

5 0

3 years ago

An astronaut standing on a platform on the moon drops a hammer. The hammer falls 6m vertically in 2.7seconds. What is accelerati

Fantom [35]

6m Divided by 2.7 Seconds
6/2.7=2.22222222222
2.22222222 Meters per second is end velocity
the change in velocity is Start velocity (0m/s) - end velocity (2.222222222m/s)
So the Change in velocity is 2.222222222m/s
To find acceleration it is Change in velocity (2.2222222m/s)/Time (2.7m/s)
2.222222222222/2.7=0.82304526749
acceleration=0.82304526749 Meters per second Squared
This also would make sense as we already know acceleration is less on the moon.
Answer=0.82304526749m/s ²

7 0

4 years ago

The system of equations y = 2x + 5 and y = –3x – 15 is shown on the graph below.According to the graph, what is the solution to

gtnhenbr [62]

Answer:

(-4, -3)

Step-by-step explanation:

The graph of both lines will be shown below.

To find the solution, we need to find the point on the graph that both lines intersect on.

As we can see, both lines intersect on the point (-4, -3). Thus, that is the solution.

Best of Luck!