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Anit [1.1K]
2 years ago
15

Use the graphing tool to see what happens to the logarithmic (log base 10) function when you change more than one parameter at a

time. In what ways is this new graph different from the parent graph of f(x)=log(x)? Write down your observations for each of these transformed functions. Then try a few of your own.
Mathematics
1 answer:
ivann1987 [24]2 years ago
5 0

Answer:

The parent graph of g(x) = 5 log (x + 1) shifts one unit to the left and is stretched vertically by a factor of 5 .

The parent graph of g(x) = 1/5 log (1/7 x)   is stretched horizontally by a factor of 7  and then compressed vertically by a factor of 1/5 .

Step-by-step explanation:

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What percentage of students earning degrees in 2009 were awarded a professional degree?
shusha [124]

Answer:

2.07%

Step-by-step explanation:

92 out of a total of 3,204 graduates earned a professional degree.  That works out to 0.0207, or 2.07%.

6 0
3 years ago
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George has opened a new store and he is monitoring its success closely. He has found that this store's revenue each month can be
makvit [3.9K]

Answer:

The new store will have a profit of $5400 after its fifth month.

(R-C)(x) = (x²+5x+14)-(x²-4x+5) = x²-x²+5x--4x+14-5 = 5x+4x+14-5=9x+9

(Use 5 for x)

(R-C)(5) = 9(5) + 9 = 45+9 = 54

6 0
2 years ago
List all two-digit positive integers that satisfy both of the following :
MakcuM [25]

The two-digit positive integers that tens and ones digits are consecutive numbers include 12, 23, 34, 45, 56, 67, 78, and 89.

<h3>What are integers?</h3>

It should be noted that integers are the whole numbers that can be either positive, negative, or zero.

The two-digit positive integers that the integer is the product of two consecutive numbers will be:

3 × 4 = 12

7 × 8 = 56

Learn more about integers on:

brainly.com/question/17695139

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3 0
2 years ago
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Drag and drop the correct numbers into the boxes to show the initial value and the range for each of the linear functions f(x) a
tatuchka [14]
I think  the answer is the 4th one
6 0
3 years ago
(09.01) A biologist created the following graph to show the relationship between the temperature of water (x), in degrees Celsiu
lukranit [14]

Answer:

x-intercept:

A line that crosses the graph at x-axis.

i.e substitute y = 0 and solve for x.

As per the statement:

A biologist created the following graph to show the relationship between the temperature of water (x), in degrees Celsius, and the number of insect larvae (y) in the water

Given the graph:

y = -2x^2+20x+400

Substitute y = 0  we have;

-2x^2+20x+400 = 0

⇒-2(x^2-10x-200) = 0

⇒x^2-10x-200 =0

⇒x^2-20x+10x-200 =0

⇒x(x-20)+10(x-20)=0

⇒(x-20)(x+10)=0

By zero product property we have;

x-20 =0 and x+10 = 0

⇒x = 20 and x = -10

Therefore,  the x-intercept represents the water has no larvae at −10 degrees Celsius and 20 degrees Celsius.

6 0
3 years ago
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