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Fittoniya [83]
3 years ago
11

Point J is on line segment IK. Given JK = 2x, IJ = 5x, and IK = x + 6, determine the numerical length of JK.

Mathematics
1 answer:
Andre45 [30]3 years ago
8 0

Answer:

JK = 2

Step-by-step explanation:

Given:

JK = 2x

IJ = 5x

IK = x + 6

Required

Solve for JK.

Since J is on IK, we have:

IK = IJ + JK

x + 6 = 5x + 2x

x + 6 = 7x

Collect Like Terms

7x - x = 6

6x = 6

Solve for x

x = 6/6

x = 1

Substitute 1 for x in JK = 2x

JK = 2 * 1

JK = 2

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Step-by-step explanation:

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The value of a certain car after one year was $13,595. The value of the same car after 3 years was $11,095. Find the slope and e
Oksanka [162]

Answer:

-1250/1 or -1250

This tells us that the car depreciated in value by $1250 every year.

Step-by-step explanation:

11,095-13,595= -2500

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Since we need to find the slope we divide this value by two.

That value would be -1250

Since the value is negative, we know the car has depreciated in value. We also now know that it depreciated in value by $1250 every year

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7 0
3 years ago
Please help. Look at screenshot
Citrus2011 [14]

Answer:

a.

<u>Increasing:</u>

x < 0

x > 2

<u>Decreasing:</u>

0 < x < 2

b.

-1 < x < 2

x > 2

c.

x < -1

Step-by-step explanation:

a.

Function is increasing when it is going up as we go rightward

Function is decreasing when it is going down as we go rightward

We can see that as we move up (from negative infinity) until x = 0, the function is increasing. Also, as we go right from x = 2 towards positive infinity, the function is going up (increasing).

So,

<u>Increasing:</u>

x < 0

x > 2

The function is going down, or decreasing, at the in-between points of increasing, that is from 0 to 2, so that would be:

<u>Decreasing:</u>

0 < x < 2

b.

When we want where the function is greater than 0, we basically want the intervals at which the function is ABOVE the x-axis [ f(x) > 0 ].

Looking at the graph, it is

from -1 to 2 (x axis)

and 2 to positive infinity

We can write:

-1 < x < 2

x > 2

c.

Now we want when the function is less than 0, that is basically saying when the function is BELOW the x-axis.

This will be the other intervals than the ones we mentioned above in part (b).

Looking at the graph, we see that the graph is below the x-axis when it is less than -1, so we can write:

x < -1

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Brilliant_brown [7]

Answer:

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