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Rzqust [24]
3 years ago
14

Which of the following statements have the same result? Explain each step in solving each one.. .

Mathematics
1 answer:
Andru [333]3 years ago
3 0

Answer:

None, because 11\neq 9.5\neq 8.

Step-by-step explanation:

I. When f(x)=3x+2, then

f(3)=3\cdot 3+2=9+2=11.

II. Find the inverse function f^{-1}(x) for the function f(x)=\dfrac{2x-7}{3}.

y=\dfrac{2x-7}{3},\\ \\3y=2x-7,\\ \\2x=3y+7,\\ \\x=\dfrac{3y+7}{2},\\ \\f^{-1}(x)=\dfrac{3x+7}{2}.

Thus,

f^{-1}(4)=\dfrac{3\cdot 4+7}{2}=\dfrac{12+7}{2}=\dfrac{19}{2}=9.5.

III. Solve the equation 2y+14=4y-2:

14+2=4y-2y,\\ \\16=2y,\\ \\y=16:2=8.

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Is this the right answer?
azamat

Answer:

C. If Diane gets a new job, it will cost her money.  

Step-by-step explanation:

The law of syllogism follows the pattern

     If a = b

and b = c

then a = c

In this question, the syllogism is

  (a) If Diane gets a new job = (b) she'll need new clothes.

(b) If she needs new clothes = (c) it will cost her some money.

 (a) If Diane gets a new job = (c) it will cost her some money.

5 0
3 years ago
Describe the rate of change of f(x)=lnx. Your answer should explain how the slope changes when x is small and when x is large.
Katyanochek1 [597]

Answer:

By plotting the graph of f(x)=lnx, you can conclude that when x is small, dy/dx has a larger value. For instance, the gradient of the curve when x=0.5 is 2. However, as you move along the x axis, you will see that the graph levels off, indicating a decrease in the slope, or dy/dx. For example, if x=10, dy/dx = 0.1 and when x=20, dy/dx= 0.05 and so on. Eventually, when x is large enough the value of dy/dx will be negligible.

Thus, as x increases, the slope decreases.

5 0
3 years ago
Read 2 more answers
Plzzz help as soon as possible
Anika [276]

Answer:

Step-by-step explanation:

8 is not a function

9 is a function

10 is a function

4 0
3 years ago
How can I solve question number 43?
aivan3 [116]
You know that a circle has an angle of 360 degrees. Also, you know that when two lines intersect, their interior angles are the same. So you are given angle BPD and angle CPA equals 146 and 164 respectively. The measure of angle BPD is 146 degrees
8 0
3 years ago
What are the rules of indices?
alexira [117]
Multiplication:
If the two terms have the same base (in this case x) and are to be multiplied together their indices are added.

Division:
If the two terms have the same base (in this case x) and are to be divided their indices are subtracted

Brackets:
If a term with a power is itself raised to a power then the powers are multiplied together.

4 0
3 years ago
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