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
kati45 [8]
2 years ago
8

The graphs of the functions f(x)=|x-3| + 1 and G(x)=2x + 1 are drawn. which statement about these functions is true?

Mathematics
1 answer:
Roman55 [17]2 years ago
8 0

The only true statement that compares the two functions is:

B: The solution to f(x)=g(x) is 1

<h3>Which statements are correct?</h3>

Here we have the functions:

f(x) = |x - 3| + 1

g(x) = 2x + 1

First, let's find the solution for:

f(x) = g(x)

|x - 3| + 1 = 2x + 1

|x - 3| = 2x

Notice that we have two options, x = 3:

|3 - 3| = 2*3

0 = 6  (x = 3 is not a solution)

And x = 1:

|1 - 3| = 2*1

2 = 2  (x = 1 is a solution).

Now to get the y-value where the graphs intersect, we just evaluate one of the functions in the solution we found above;

f(1) = |1 - 3| + 1  = 2 + 1 = 3

The graphs intersect when y = 3.

Then we conclude that the only true statement is:

B: The solution to f(x)=g(x) is 1

If you want to learn more about systems of equations, you can read:

brainly.com/question/13729904

You might be interested in
Write an equation in point-slope form of the line that passes through the point (2, 1) and has a slope of m= 2.
timurjin [86]

Answer:

y-1=2(x-2)

Step-by-step explanation:

4 0
3 years ago
What’s 1.2983 rounded to the nearest hundredth
KengaRu [80]
1.30 :)
All you have to do is see if the number on your left is greater than 5 or not if it’s is round up 1 if not it stays the same !
Hope this helped !!!
3 0
3 years ago
Why is every prime number greater than 2 an odd number?
Arlecino [84]
Because if it was even, then it would be divisble by 2 which makes it not prime
4 0
3 years ago
Read 2 more answers
Please Help me. What is the answer?
vekshin1

Answer:

-11

Step-by-step explanation:

Triangle ABC

SO,

AB = AC +BC

x + 8 = 2x -5 + (BD + DC)

x + 8 = 2x-5 + 10 +14

x + 8 = 2x + 19

2x - x = -19 + 8

x = -11

5 0
3 years ago
The sum of two confescutive integers is at least 46. What is the least possibly pair of integers?
dezoksy [38]
An integer is a whole number. Sum means to add and since they are consecutive, there is only a difference of 1 between them.

1) 21 + 23: not consecutive
2) 23+24= 47: has to be at least 46
3) 22+23= 45: has to be at least 46
4) 24+25= 49: has to be at least 46

So we have two possibilities: either #2 or #4. Find least possible pair of integers.

x= first integer
x+1= second integer

x + (x+1) >= 46
2x + 1 >=46
2x>=45
x>=22.5

Answer:
The first integer has to be greater than or equal to 22.5. Since integers are whole numbers, round up to the next whole number. The least possible integers are #2) 23 and 24.

Hope this helps! :)
3 0
3 years ago
Other questions:
  • Which inequality is the same as 7-2/b &lt;5/b
    11·2 answers
  • Consider the function f(x)=x^2 . What effect does adding 2 to the input have on the graph of the function? Shifts the graph down
    6·1 answer
  • The function h(x) is quadratic and h(3) = h(–10) = 0. Which could represent h(x)?
    10·2 answers
  • Maria found that about 3/4 of the students in her class take the bus to school. What percent of the students in her class take t
    7·2 answers
  • Solve the equation for x 6x + 1 - 4x = 2+ x + 4
    15·1 answer
  • What is the answer of two plus two
    13·2 answers
  • Triangle ABC has angles measuring 137°, 15°, and 28°. Classify the triangle by its angle measures.
    8·1 answer
  • What is the equation of the quadratic function represented by this graph?
    15·1 answer
  • Please answer i really need help
    10·1 answer
  • A farmer sells 8.2 kilograms of apples and pears at the farmer's market. 1/4 of this weight is
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!