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Olegator [25]
3 years ago
13

Use the functions f(x) = 4x − 5 and g(x) = 3x + 9 to complete the function operations listed below.

Mathematics
1 answer:
alukav5142 [94]3 years ago
3 0
A) (f+g)(x)=f(x)+g(x)=(4x-5)+(3x+9)=7x+4
B) (f*g)(x)=f(x)*g(x)=(4x-5)(3x+9)=12x^2+21x-45
C) f(g(x)) = 4(3x+9)-5 = 12x+31
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Write this as an equation in point-slope form Please answer as quickly as possible. 50 pts!!!!!
jeka57 [31]

The answer is:   "  y − 1  =  - 3(x + 2) " .
__________________________________________________________

Explanations: 
__________________________________________________________

<u>Note</u>:  The "point-slope form" of the equation of a line is:

                  →     " y − y₁ = m(x −x₁) " . 

We are given the slope,  m" , is:  " - 3 " ;  

We are given a point on the line [on the graph that is represented by this equation];  with the coordinates:  " (-2 , 1) " ;  

                          →   which is in the format: " (x₁ , y₁) " ;
                                      
                          →   As such:  " x₁  = -2 "  ;   " y₁  =  1 " ; 
_____________________________________________________
As aforementioned, the equation of a line in "point-slope form" ;  is:  
_________________________________________________________
                          →    " y − y₁ = m(x − x₁) " ;  

in which:
 
 →  "(x₁ , y₁) " represents the coordinates of a given point on the [line of the graph represented by the equation] ;  AND: 

 →   " m "  =   the slope of the line [represented by the equation] " ; 

We proceed by substituting our known values for "m" ;  "y₁" ; and "x₁" :
 
 →       " y − 1  =  - 3(x − (-2) ) "  ;   
_______________________________________________________                                                        
 →   Rewrite as:
_______________________________________________________
 →      "  y − 1  =  - 3(x + 2) "  ;  

 →    which is our answer;  since it is written in "point-slope form" .
_______________________________________________________
3 0
3 years ago
Which student factored the expression x3 - 7x - x2 + 7 correctly based on their answer below?
Verizon [17]
We can check the end terms first

for
(a+b)(c+d), the first term of the expanded is ac and the last term is bd

so
the expanded is x^3 and last is +7

jane will have a lst term of -7 so no
mariah wil have last term of -7 as well, so no
only rojer and nethan have last tem of +7

so we can do the rest of it by doing the OL part of FOIL

do either roger or nethan
let's do nethan

F=x^3
O=-7x
I=-x^2
L=7
yep

it is nethan
4 0
4 years ago
HELP Please!!! <br> Show your work.
Doss [256]
The answer is 10. If you replace the number letters with the numbers you get 6 + 10 / 2 - 1. Then you follow PEMDAS, so first divide 10 with 2 to get five (6 + 5 - 1). Add 6 and 5 to get 11 and subtract 1 to get the final answer of 10.
7 0
3 years ago
Read 2 more answers
It took Mr. Jefferson 20 minutes to ride the 5-mile path along the lake at a constant speed on his bike. Which equation below co
slega [8]

Answer:

Part A. 4x

Part B. Mr. Jefferson could ride 3 miles in 12 minutes

Step-by-step explanation:

Part A. 4 being the time it takes him to travel 1 mile and x being the number of miles rode.

Part B. To find the time it took him to travel each mile I divided 20 by 5 which gave me four. Then to find the miles he could ride in 12 minutes I divided 12 from 4 which gave me three, stating that he could travel 3 miles in 12 minutes.

__________________________________________________________

Hope this helps!!!

If I am incorrect, please tell me; I enjoy learning form my mistakes:)

5 0
2 years ago
Dawn is having a party. She wants to make punch and the recipe calls for 4 pints of orange juice, 5 cups of apple juice, 1/2 gal
Elan Coil [88]

Answer:

1 13/16 gallons

1.8125 gallons

Step-by-step explanation:

convert the measures that are not in gallons to gallon

1 pint = 1/8 gallon

4 x 1/8 = 1/2

1 cup =1/16 gallon

5 x 1/16 = 5/16

0.3125

1 quart = 1/4

1/4 x 2 = 1/2

Add these figures togehter

1/2 + 5/16 + 1/2 + 1/2 = 29 / 16 = 1 13/16 gallons

8 0
3 years ago
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