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Natali [406]
3 years ago
10

How would you describe the relationship between the real zeros and x-intercepts of the function y=log4(x-2)

Mathematics
2 answers:
notsponge [240]3 years ago
5 0

Answer:

Step-by-step explanation:

First, look at y = log x.  The domain is (0, infinity).  The graph never touches the vertical axis, but is always to the right of it.  A real zero occurs at x = 1, as log 1 = 0 => (1, 0).  This point is also the x-intercept of y = log x.

Then look at y = log to the base 4 of x.  The domain is (0, infinity).  The graph never touches the vertical axis, but is always to the right of it.  Again, a real zero occurs at x = 1, as log to the base 4 of 1 = 0 => (1, 0).

Finally, look at y=log to the base 4 of (x-2).  The graph is the same as that of y = log to the base 4 of x, EXCEPT that the whole graph is translated 2 units to the right.  Thus, the graph crosses the x-axis at (3, 0), which is also the x-intercept.

Nady [450]3 years ago
4 0

B. Since the graph never crosses the x-axis, the function has no real zeros.

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Which statement correctly identifies the line of reflection?
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Answer:

the triangles are reflected across the line y= -x

hope this helps

Step-by-step explanation:

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3 years ago
PLEASE HELP!!!! i REALLY NEED TO GET THIS DONE AND AM HAVING TROUBLE WITH THIS ONE!!!!
zubka84 [21]

Answer:

a[n] = a[n-1]×(4/3)

a[1] = 1/2

Step-by-step explanation:

The terms of a geometric sequence have an initial term and a common ratio. The common ratio multiplies the previous term to get the next one. That sentence describes the recursive relation.

The general explicit term of a geometric sequence is ...

  a[n] = a[1]×r^(n-1) . . . . . where a[1] is the first term and r is the common ratio

Comparing this to the expression you are given, you see that ...

  a[1] = 1/2

  r = 4/3

(You also see that parenthses are missing around the exponent expression, n-1.)

A recursive rule is defined by two things:

  1. the starting value(s) for the recursive relation
  2. the recursive relation relating the next term to previous terms

The definition of a geometric sequence tells you the recursive relation is:

  <em>the next term is the previous one multiplied by the common ratio</em>.

In math terms, this looks like

  a[n] = a[n-1]×r

Using the value of r from above, this becomes ...

  a[n] = a[n-1]×(4/3)

Of course, the starting values are the same for the explicit rule and the recursive rule:

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7 0
3 years ago
Y=-4x-7 in standard form
Lapatulllka [165]
<span>Y=-4x-7 in standard form is,</span> y + 4 * x + 7 = 0

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3 years ago
A clothing store salesman had $5212 in total sales last month. He made $175 in commision. What is the commision as a percent of
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Divide the amount of commission made by the total sale, then multiply the decimal answer by 100 for the percent:

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Round the answer as needed.


3 0
3 years ago
An angle's complement is 35°. Find the measure of its supplement. A) 55° B) 65° C) 125° D) 155° E) 180°
kenny6666 [7]

Answer:

C) 125°

Step-by-step explanation:

Supplementary angles add to 180 degrees.  Complementary angles add to 90

An angle's complement is 35°.

35+x =90

Subtract 35 from each side

35 -35+x = 90-35

x = 55

We want to find the supplement of this angle

55+y = 180

Subtract 55 from each side

55-55+y = 180-55

y= 125

The angle is 55 so its supplement is 125

7 0
3 years ago
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