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Masja [62]
3 years ago
10

An exponential function f(x) is reflected across the y-axis to create function g(x). Which is a true statement regarding f(x) an

d g(x)? The two functions have no points in common. The two functions have the same initial value. The two function have opposite output values of each other for any given input value. The graph of the two functions would look exactly the same.
Mathematics
2 answers:
Natalija [7]3 years ago
5 0

We are given

An exponential function f(x) is reflected across the y-axis to create function g(x)

we know that whenever we have to reflect any function about y-axis , we will always replace x as -x

so, we reflect f(x) about y-axis

so, we can replace x as -x

we get new function as

f(-x)

and that is g(x)

so, we get

g(x)=f(-x)

Initial value means value of function at x=0

so, we will plug x=0

we get

g(0)=f(-0)

g(0)=f(0)

we can see that both f(x) and g(x) have same initial value

so,

The two functions have the same initial value............Answer

denis23 [38]3 years ago
4 0

Answer:

b

Step-by-step explanation:

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3 years ago
Solve for a: 2a + 8b = 4c
professor190 [17]
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8 0
3 years ago
Read 2 more answers
Can someone answer question 2a and b only please
Mice21 [21]

Answer:

2a)  -2

b) 8

Step-by-step explanation:

<u>Equation of a parabola in vertex form</u>

f(x) = a(x - h)² + k

where (h, k) is the vertex and the axis of symmetry is x = h

2 a)

Using the equation of a parabola in vertex form, a parabola with vertex (2, -6):  

f(x) = a(x - 2)² - 6

If one of the x-axis intercepts is 6, then

                 f(6) = 0

⇒ a(6 - 2)² - 6 = 0

⇒         16a - 6 = 0

⇒              16a = 6

⇒                  a = 6/16 = 3/8

So f(x) = 3/8(x - 2)² - 6

To find the other intercept, set f(x) = 0 and solve for x:

                    f(x) = 0

⇒ 3/8(x - 2)² - 6 = 0

⇒      3/8(x - 2)² = 6

⇒           (x - 2)² = 16

⇒              x - 2 = ±4

⇒                   x = 6,  -2

Therefore, the other x-axis intercept is -2

b)

Using the equation of a parabola in vertex form, a parabola with vertex (2, -6):  

f(x) = a(x - 2)² - 6

If one of the x-axis intercepts is -4, then

                 f(-4) = 0

⇒ a(-4 - 2)² - 6 = 0

⇒         36a - 6 = 0

⇒              36a = 6

⇒                  a = 6/36 = 1/6

So f(x) = 1/6(x - 2)² - 6

To find the other intercept, set f(x) = 0 and solve for x:

                    f(x) = 0

⇒  1/6(x - 2)² - 6 = 0

⇒       1/6(x - 2)² = 6

⇒           (x - 2)² = 36

⇒              x - 2 = ±6

⇒                   x = 8,  -4

Therefore, the other x-axis intercept is 8

8 0
2 years ago
A zookeeper weighed an African elephant to be 9x10^3 pounds and an African lion to be 4x10^2 pounds. How many times greater is t
maria [59]
Answer:  22.5 .  The weight of the elephant is "22.5 times greater" than                              the weight of the lion.
_________________________________________________________
Explanation:
_________________________________________________________

(weight of lion) * (x) = (eight of the elephant)  ;  Solve for "x" .
_____________________________________________________
   → Divide each side of the equation by "(weight of lion)" ;
  to isolate "x" on one side of the equation ; and to solve for "x" ;
_________________________________________________________
    
   → (weight of lion)*(x) / (weight of lion) = (weight of the elephant) /
                                                           (weight of lion) ;
________________________________________________________
     →  x  = (weight of the elephant) / (weight of lion) ;
__________________________________________________________
     →  Plug in our "given values" ; and solve for "x" ;
__________________________________________________________
     →  x = (<span>9*10</span>³) / (4*10²) =  (9*10⁽³⁻²⁾) / 4  =  (9*10¹) / 4  ;
__________________________________________________________  
     →  x =  90 /4 = 25/2  = 22.5 ; which is our answer.
__________________________________________________________
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3 years ago
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Butoxors [25]

Hey

Question 1: For this one, we simply need to look at the "fat grams over 25" and the "Total" sections. We can see that 27 out of 50 have fat grams over 25. This written as a percentage is: 54%

Question 2: Using the same logic above we conclude the answer is 45.45%

Question 3: For this we need to look at the "total" section and the answer is 50

Question 4: We add all the "over 300" and write it as a percentage out of 50 which is 14%

Question 5: Same as #1 answer is 21%

Hope this helps

3 0
3 years ago
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