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
OLga [1]
3 years ago
15

Given the following equation, at what point will the graph intersect? f(x) =5x+1 g(x)= -2x+15

Mathematics
1 answer:
Andru [333]3 years ago
8 0

Answer: (2,11)

Step-by-step explanation:

To find the point where the functions will intersect, we want to find the place that they are equal to each other. We do this by setting the equations equal to each other.

5x+1=-2x+15                       [add both sides by 2x]

7x+1=15                               [subtract both sides by 1]

7x=14                                  [divide both sides by 7]

x=2

Now, we know that the functions intersect at x=2. To find the point, we would plug x back into both equations to ensure that the points are the same.

f(2)=5(2)+1                         [multiply]

f(2)=10+1                            [add]

f(2)=11

The point on f(x) is (2,11).

g(2)=-2(2)+15                    [multiply]

g(2)=-4+15                         [add]

g(2)=11

The point on g(x) is (2,11).

Since the point at x=2 is the same for f(x) and g(x), we know that the graph intersects at (2,11).

You might be interested in
You have $20 in your bank account and start saving $25 each month. Your brother has $60 in his bank account and starts saving $1
natulia [17]
It would take 4 months to have the same amount of money and both of them will $120.
5 0
3 years ago
Read 2 more answers
Helppppppppppppp plzzzzzzzzzzzzzzzzz
natulia [17]

Answer:

33.25

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Shoprite has various brands of laundry detergent. which brand has the lowest price per ounce?​
Sauron [17]
The Xtra detergent. Because it is $8.77 and all the rest are higher.
8 0
2 years ago
I have 4 factors three of my factors are 1, 2 and 10 what is my forth factor
Nuetrik [128]

Answer:

4

Step-by-step explanation:

3 0
3 years ago
Jane’s cell phone plan is $58 each month plus $0.20 per minute for each minute over 200 minutes of call time. Jane’s cell phone
Lyrx [107]

Answer:

m = (67$ - 58$)/0.20$

_____________________

6 0
2 years ago
Other questions:
  • How do you put 2 and 3 quarters in inches<br> what i mean is like 2.4 or 3.2 or whatever
    15·1 answer
  • The top speed of a craigcat boat is 52 kilometers per hour. Express this rate in miles per hour.
    9·1 answer
  • A number x divided by 7 is less than −3.
    7·2 answers
  • Plz help I'm will give a brainliest​
    11·1 answer
  • Can someone help me with these problems ???
    14·1 answer
  • Simplify the expression. | 10 - (-7) | *
    10·1 answer
  • Larry and Jack are playing a game of rock-paper-scissors. The probability that Larry will win two times in a row is. Using this
    15·1 answer
  • A triangle has two sides of lengths 8 and 10. What value could the length of
    12·2 answers
  • What effect does eliminating the highest value, 180, from the data set have on the mean and the
    15·2 answers
  • 2) Evaluate the given exponential expression
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!