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In-s [12.5K]
3 years ago
12

For what value of x do the functions f(x)=−52x+4 and g(x)=−12x−4 have the same output?

Mathematics
2 answers:
lys-0071 [83]3 years ago
7 0
F(x) = -52x + 4

g(x) = -12x - 4

To find the solution of the system of equation, we have to just equate the equation to each other.

f(x) = g(x)

-52x + 4 = -12x - 4

-52x + 12x = - 4 - 4

-40x = -8

x = \frac{-8}{-40} =  \frac{8}{40} =\frac{1}{5}

x = 0.2
pshichka [43]3 years ago
6 0

Answer:

-52x+4

Step-by-step explanation:

I took the test                       .                                                            

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Which of the following expressions are equivalent to (6.2+6.2)+9.4? Choose two answers. plz help​
puteri [66]

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Step-by-step explanation:

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Can you help with these two questions I'm having hard times in math
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Jessica is putting money into a checking account. Let y represent the total amount of money in the account (in dollars). Let x r
uranmaximum [27]

After differentiating, the amount when x=0 yields starting amount,

300 dollars.

What is diffrentiation?

  • A technique for determining a function's derivative is differentiation.
  • A technique for determining a function's derivative is differentiation. Mathematicians use a procedure called differentiation to determine a function's instantaneous rate of variation based on a particular variables. The most typical illustration is velocity, which is the rate at which a distance changes in relation to time.
  • In mathematics, differentiation is used to determine change rates. 

Differentiating the given equation with respect to x,

Given equation,

y= 55x+ 300

\frac{dy}{dx} =\frac{d(55x+300)}{dx} = 55+0 =$55 dollars.

The amount when x=0 yields starting amount,

y=55(0)+300=300

Learn more about differentiation here:

brainly.com/question/25081524

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6 0
1 year ago
raul works at a movie theatre. the function f(x) represents the amount of money raul earns per ticket, where x is the number of
leonid [27]

Question:

Raul works at a movie theatre. The function f(x) represents the amount of money Raul earns per ticket, where x is the number of tickets he sells. The function g(x) represents the number of tickets Raul sells per hour, where x is the number of hours he works. Show all work to find f(g(x)), and explain what f(g(x)) represents.

f(x) = 2x2 + 16

g of x equals the square root of the quantity 5 x cubed

Answer:

f(g(x))=  

Step-by-step explanation:

Given:

f(x) = 2x^2 + 16

g(x) = \sqrt{(5x^3)}

f(x) represents the amount of money Raul earns per ticket

x is the number of tickets he sells

g(x) represents the number of tickets Raul sells per hour

To find:

f(g(x)) = ?

Solution:

f(g(x)) represent the amount Raul earns by selling tickets for x hours

We know,

f(x)  = 2x^2 + 16

f(g(x)) =2(\sqrt{(5x^3)} )^2 +16

The square root and power 2 cancel each other

f(g(x))  = 2(5x^3 ) +16

f(g(x)) = 10x^3 +16

So at x hours

Raul earns 10x^3 +16

For example lets assume Raul works for 5 hours, then the amount he earns will be

f(g(x)) = 10(5)^3 +16

f(g(x))  = 10(125) +16

f(g(x)) = 1250 +16

f(g(x)) =  1266

You  can also find the amount Raul earns by

g(x) = \sqrt{(5(5)^3)}

g(x) = \sqrt{625}

g(x) = 25

Substituting in f(x)

f(g(x)) = f(25)

f(25)  = 2(25)^2 + 16

f(25) = 2(625) +16

f(25) = 1250 + 16

f(25) = 1266

so Raul will be earning 1266 if he sells tickets for 5 hours

3 0
2 years ago
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