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Artist 52 [7]
3 years ago
13

The graph of f(x), shown below has the same shape as the graph has the same shape as the graph of g(x)=x^4-X^2 which contains th

e (0,0) which of the following is the equation of f(x)

Mathematics
2 answers:
Alenkasestr [34]3 years ago
4 0
First of all it is always a good idea to graph a question like this one. Here are the three graphs 

y = x^4 - x^2                   Color: Red            This is the base graph
y = x^4 - x^2 -  4             Color Blue            This has - 4 added to it.
y = x^4 - x^2 + 4             Color Green          This has 4 added to the base graph

Which one is correct? The red and blue one are not. The graph you want is plotted  upward from the base graph. The base graph (red nothing added to it) is not right because it has points on the x axis. The graph you want does not.

The same is true of the blue graph. It cuts the x axis. That only leaves the green one.

Answer: C

Tema [17]3 years ago
3 0

A. F(x) = x^4 - x^2 + 4

B. F(x) = 4 - X^4 - X^4 - X^2

C. F(x) = x^4 - x^2

D. F(x) = x^4 - x^2 - 4

The answer is A

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Answer:

  f(g(x)) = 2/(x^2 +4x)

Step-by-step explanation:

  (f\circ g)(x)=f(g(x))\\\\(f\circ g)(x)=f(x+2)=\dfrac{2}{(x+2)^2-4}\\\\(f\circ g)(x)=\dfrac{2}{x^2+4x+4-4}\\\\\boxed{(f\circ g)(x)=\dfrac{2}{x^2+4x}}

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2 years ago
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Svetach [21]

Answer:

I'm pretty sure step 1 Is where he made the mistake

3 0
3 years ago
Read 2 more answers
Usesolve the given system of two equations in two unknowns. Check your answers.
Maksim231197 [3]

Answer:

(1,4)

x= 1

y= 4

(I checked on desmos and this is correct)

Step-by-step explanation:

I'm going to solve this by substitution

To do this we need to get a variable by istelf in any equation

We'll start with 18x-2y=10

We can add 2y and divide by 2 to get

y=9x-5

This is what y will equal for now and we can plug this in for y in the second equation

3x+16(9x-5)=67

This is rather easy to solve

147x-80=67

147x=147

this means that x=1

We can then use this value for x and plug it into any equation

let's just do the first one

18*1-2y=10

This is easy to solve as well and you should get

-2y=-8

y=4

this means that x=1

y=4

6 0
2 years ago
Mona has invested $2840 in a savings account for 6 years. She earned $894.60 in a simple interest. What was the annual interest
forsale [732]

Answer:

The annual interest rate was 5.25%.

Step-by-step explanation:

Simple interest can be calculated using the following formula:  I = PRT, where I=simple interest, P=principal amount, R=percentage rate and T=time.  In this problem, Mona started with a principal amount of $2840, or P=2840 and invested for 6 years, or T=6, to gain simple interest in the amount of $894.60, or I=894.60.  When we put in the values for our variables in the equation, we get:  894.60 = (2840)(6)R.  Multiplying 2840 x 6 = 17040 and gives us:  894.60 = 17040R.  Using inverse operations to isolate the variable, we divide both sides by 17040 to get R=0.0525.  Since the rate is a percentage, we need to multiply our answer by 100 to get 5.25%.  

8 0
3 years ago
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