The image shows a dust mite as seen under a microscope. The scale of the drawing to dust is 100:1

Mathematics

1 answer:

hoa [83]2 years ago

8 0

The actual length of the dust termite observed under the microscope is 1.5 mm

The scale of image produced under the microscope 100 : 1

This means image is magnified 100 times its original size as microscopes are used to enlarge or magnify the size objects.

Taking the measured size of the dust termite under the microscope in millimeter = 150 mm

The actual length of the termite will be :

Measured size under microscope ÷ 100

150 mm ÷ 100

1.5 mm

Therefore, the actual length of the dust termite is about 1.5 mm

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Graph f(x)=−3/4x−4 .

tigry1 [53]

First, find the asymptotes.

When does f(x) become undefined? When the numerator is 0

0=4x-4
4=4x
x=1

Therefore, x cannot be 1, this is a horizontal asymptote.

We also know that when the degree of x in the numerator is smaller than the degree of x in the denominator, y=0.

Now that we have the horizontal asymptotes, find a third point to draw the graph.

If x=2,

f(2)=-3/4(2)-4
=-3/4

Be sure to include this points in your graph.

Hope I helped :)