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Law Incorporation [45]
3 years ago
14

Which function represents g(x), a reflection of f(x) = 4across the x-axis?

Mathematics
2 answers:
Anna71 [15]3 years ago
7 0

Answer:

g(x)=-4(2)^{-x}

Step-by-step explanation:

Given: The graph of f(x) (blue color)

f(x) reflection across x-axis to get g(x).

Using to find the equation of f(x)

The graph looks like a exponential decay whose y-intercept (0,4) and passing point (1,2).

f(x)=4(2)^{-x}

Reflection across x-axis

y\rightarrow -y

g(x)=-f(x)

The function g(x) represents by

g(x)=-4(2)^{-x}

Hence, The g(x)=-4(2)^{-x} is reflection of f(x) across x-axis.

fiasKO [112]3 years ago
3 0

Answer:

Option C g(x) = -4

Step-by-step explanation:

In the question a function f(x) =4 is given and we are required to tell the reflection g(x) of the given function.

The rule of reflection for a function says that:

f(x) -> - f(x)

So, in our case the value of function is f(x) = 4, after reflection the value across the x-axis the value will become negative i.e -4,

so the required function g(x) = - 4

Hence Option C g(x) = -4 is correct option.

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2.<br> Show your work<br> 24*<br> V<br> 2x<br> Angle =
elena-s [515]

Answer:

90-24=76°

Step-by-step explanation:

____________________

6 0
2 years ago
Which two numbers add up to 3 and are multiplied to 4
DedPeter [7]
There are no two numbers that will add up to 3 and when multiplied become 4.

However there are 2 numbers if you multiply them it is -4. And when you add them it is 3. Those two numbers would be 1 and -4
4 0
3 years ago
Find the perimeter of an isosceles triangle ABC. Side AB=4, and the base BC=3. Angles B &amp; C are both 70 degrees.
MA_775_DIABLO [31]

Answer:

11 units

Step-by-step explanation:

Since <em>∆ABC is isosceles, it means that at least two sides are congruent/equal in length</em>.

<em>Sides CA and AB are congruent</em>, since BC is the base. So, <em>CA = 4</em>.

That means the perimeter is <em>4 + 4 + 3 </em>= 11 un

5 0
3 years ago
What is a fraction that is less than 1, with a denominator of 6 that is greater than 3/4.
Fynjy0 [20]
5/6, divide 3/4 to get 0.74 then divide 5/6 to get 0.84 for proof.
7 0
3 years ago
Read 2 more answers
3^4x-5=(1/27) PLEASE HELP I AM IN TEARS
g100num [7]
 x = 136/2187 = 0.062

Rearrange:

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

                     3^4*x-5-(1/27)=0 

<span>Step by step solution :
</span><span>Step  1  :</span> 1 Simplify —— 27 <span>Equation at the end of step  1  :</span><span> 1 (((34) • x) - 5) - —— = 0 27 </span><span>Step  2  :</span>

<span>Equation at the end of step  2  :</span><span> 1 ((34 • x) - 5) - —— = 0 27 </span><span>Step  3  :</span>Rewriting the whole as an Equivalent Fraction :

<span> 3.1 </span>  Subtracting a fraction from a whole 

Rewrite the whole as a fraction using <span> 27 </span> as the denominator :

81x - 5 (81x - 5) • 27 81x - 5 = ——————— = —————————————— 1 27

<span>Equivalent fraction : </span>The fraction thus generated looks different but has the same value as the whole 

<span>Common denominator : </span>The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

<span> 3.2 </span>      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:

(81x-5) • 27 - (1) 2187x - 136 —————————————————— = ——————————— 27 27 <span>Equation at the end of step  3  :</span> 2187x - 136 ——————————— = 0 27 <span>Step  4  :</span>When a fraction equals zero :<span><span> 4.1 </span>   When a fraction equals zero ...</span>

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

Now,to get rid of the <span>denominator, </span>Tiger multiplys both sides of the equation by the denominator.

Here's how:

2187x-136 ————————— • 27 = 0 • 27 27

Now, on the left hand side, the <span> 27 </span> cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :
   2187x-136  = 0

Solving a Single Variable Equation :

<span> 4.2 </span>     Solve  :    2187x-136 = 0<span> 

 </span>Add  136  to both sides of the equation :<span> 
 </span>                     2187x = 136 
Divide both sides of the equation by 2187:
                     x = 136/2187 = 0.062 

One solution was found :                  <span> x = 136/2187 = 0.062</span>
8 0
3 years ago
Read 2 more answers
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