(50 Points & Brainliest, please show work)

The function f(x) = 2x + 210 represents the number of calories burned when exercising, where x is the number of hours spent exercising.

The function g(x) = 2x + 125 represents the calorie deficit that occurs when following a particular diet, where x is the number of hours spent exercising.

What is (f + g)(3)?
Show all work and explain your answer

(f+g)(3) = 347 calories

Step-by-step explanation:

f(x) = 2x + 210

g(x) = 2x + 125

(f+g)(x) is the sum of the functions

(f+g)(x) = 2x+210 + 2x+125

Combining like terms

           =4x+335

Now let x = 3

(f+g)(3) = 4*3 +335

            = 12 +335

            = 347

(f+g)(3) = 347 calories

347

Step-by-step explanation:

f(x) = 2x + 210

g(x) = 2x + 125

we know that (f+g)(x)=f(x)+g(x)

so (f+g)(x)= 2x + 210 + 2x + 125 = 4x + 335

(f+g)(3) simply means that x=3

therefore

(f+g)(3) = 12 + 335 = 347

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.

the final amount you will pay is $68.04.

the tip is determined by the pre-tax amount, so we calculate the tip based on the original bill, not after we've added sales tax.

to find the tip:

we can divide 54.00 by 100 to get 1% of 54. then we multiply that by 18.

54 / 100 = .54

.54 x 18 = 9.72

tip = 9.72$

to find the tax:

we can divide 54.00 by 100 to get 1% of 54. then we can multiply that by 8 to get 8%.

54 / 100 = .54

.54 x 8 = 4.32

tax= 4.32

now we can add the tip and tax to the bill to get our total.

54 + 9.72 + 4.32 = 68.04

total: $68.04

step-by-step explanation: