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Evgesh-ka [11]
3 years ago
15

Exponential Function:

Mathematics
1 answer:
garri49 [273]3 years ago
8 0

Answer:

  • e) Horizontal translation to the right of 2 units and vertical translation down of 4 units.

Step-by-step explanation:

<u>Given</u>

  • f(x) = 5^(x-2) - 4

which is the result of the transformation of the function g(x)= 5^x

<u>We can see that</u>

  • f(x) = g( x - 2) - 4

This is indicating horizontal shift 2 unit to the right and vertical shift 4 units down

Correct answer option is e)

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3/4x=-18 what is the answer?
Afina-wow [57]

Answer:

X= 24

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    3/4*x-(18)=0

Step by step solution :

Step  1  :

           3

Simplify   —

           4

Equation at the end of step  1  :

  3        

 (— • x) -  18  = 0

  4        

Step  2  :

Rewriting the whole as an Equivalent Fraction :

2.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  4  as the denominator :

         18     18 • 4

   18 =  ——  =  ——————

         1        4  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

3x - (18 • 4)     3x - 72

—————————————  =  ———————

      4              4  

Step  3  :

Pulling out like terms :

3.1     Pull out like factors :

  3x - 72  =   3 • (x - 24)

Equation at the end of step  3  :

 3 • (x - 24)

 ————————————  = 0

      4      

Step  4  :

When a fraction equals zero :

4.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 3•(x-24)

 ———————— • 4 = 0 • 4

    4    

Now, on the left hand side, the  4  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  3  •  (x-24)  = 0

Equations which are never true :

4.2      Solve :    3   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation :

4.3      Solve  :    x-24 = 0

Add  24  to both sides of the equation :

                     x = 24

One solution was found :

                  x = 24

6 0
3 years ago
The point nearest to the origin on a line is at (4, -4). Find the standard form of the equation of the line.
NikAS [45]

Answer:

I think it's C, x-y-8=0

Step-by-step explanation:

5 0
3 years ago
Finished the first one don´t understand these.
Mashutka [201]

Answer:

Let "x" be the number of people who can go to the amusement park.

So we have: 19 + 14x ≤ 180. This inequality basically means that the parking cost plus the cost of the tickets for every person cannot cost more than 180 dollars.

Solving this inequality, we get:

19 + 14x ≤ 180

14x ≤ 161

x ≤ 11.5

Obviously, we know that we can't have "half" a person, so the most people who can come to the amusement park would be 11 people, and the answer would be: x ≤ 11

Hope this helps!

4 0
2 years ago
Lily's car has a fuel efficiency of 888 liters per 100 kilometers.
Katen [24]
12.5 kilometers per liter
6 0
3 years ago
Read 2 more answers
What is the 109th term of the arithmetic sequence {963, 936, 909, 882, …}?
tatyana61 [14]

Answer:

D. a109=-1,953

8 0
3 years ago
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