1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
lakkis [162]
3 years ago
7

if f(x) and g(x) are quadratic functions but (f+g)(x) produces the graph below, which statement must be true? A. the leading coe

fficients of f(x) and g(x) are opposites B. the leading coefficients of f(x) and g(x) are opposite reciprocals C. the leading coefficients of f(x) and g(x) are the same age. D. the leading coefficients of f(x) and g(x) are reciprocals

Mathematics
2 answers:
Airida [17]3 years ago
7 0

Answer : the leading coefficients of f(x) and g(x) are opposites

if f(x) and g(x) are quadratic functions but (f+g)(x) produces the graph below

Let f(x) = ax^2 + bx +c

g(x) = dx^2 + ex + f

The graph attached is a linear graph

we need to produce linear graph by adding two functions ,

In linear graph, there is no x^2 term

To remove x^2 term, the coefficient of x^2 term should be same and of opposite sign

if d= -a  , then g(x) = -ax^2 + 2x + f

f(x) + g(x) = (a-a)x^2 + (b+e)x + c+f= (b+e)x + c+f

f(x) + g(x) becomes linear

the leading coefficients of f(x) and g(x) are opposites



Schach [20]3 years ago
7 0
A quadratic function in its generic form is:
 f (x) = ax2 + bx + c
 g (x) = dx2 + ex + f
 The sum of the functions is:
 (f + g) (x) = (a + d) x2 + (b + e) x + (c + f)
 For the function to be linear necessarily:
 a = -d
 Answer:
 
A. the leading coefficients of f (x) and g (x) are opposites
You might be interested in
Billy put $60 of his $400 paycheck into his savings account. Find the percent of his paycheck that Billy saved. help!
romanna [79]
15 percent into savings
400 x 0.15 = 60
8 0
2 years ago
4×0.23 what is it i don't no
kramer
4*0.23
0.92 
the answer is 0.92 

8 0
3 years ago
Read 2 more answers
Use the distributive property to remove the parentheses.
nlexa [21]

Answer:

Step-by-step 12c^{3} -40c^{8}explanation:

8 0
3 years ago
I need this ASAP. Please answer then explain. Brainliest will be awarded.
VARVARA [1.3K]

Answer: The item costs $14.87

Step-by-step explanation: If u do 15.00-20%=$14.80 Then if you do 14.80+7.5%=$14.87

6 0
2 years ago
I need help please?!!!!!
Viefleur [7K]

Answer: 9x+3

Step-by-step explanation: 4x-(-3 - 5x)

                                            =4x+ 3 +5x   [open the bracket]

                                            =9x+3

7 0
3 years ago
Other questions:
  • The slope of the the tangent line to a curve at a point. Calc derivative help
    14·1 answer
  • There are 32 students in a class how many ways can the Class be divided into groups with equal numbers of students are what are
    11·1 answer
  • Which answer describes the calculations that could be used to solve this problem?
    13·2 answers
  • The side of the base of a square prism is decreasing at a rate of 7 kilometers per minute and the height of the prism is increas
    15·1 answer
  • Select the equivalent expression
    12·1 answer
  • A slitter assembly contains 48 blades. Five blades are selected at random and evaluated each day of sharpness. If any dull blade
    7·1 answer
  • 7) Tim's high school played 11 football games this year. The team won most of
    14·2 answers
  • Please help I will give brainiest to the right answer!!!!!!!! Please Help!!! ASAP!!!!
    15·2 answers
  • 6th grade math help me pleaseee
    8·2 answers
  • What is the gcf of 99 and 54
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!