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
RSB [31]
3 years ago
15

How is the intersection point of two linear functions related to solving a linear equation?

Mathematics
1 answer:
Romashka [77]3 years ago
8 0

Answer:

Linear equation formed by equating both functions is used to find the x-coordinate of the intersection point.

Step-by-step explanation:

If we have two linear functions f(x) and g(x) which are intersecting at a point (a,b), then equating both functions we get a linear equation as

f(x)=g(x)=y

On solving this linear equation we get the x-coordinate of the point of intersection, i.e., x=a.

After that, we need to substitute x=a in either f(x) or g(x) to get the y-coordinate of the point of intersection.

Therefore, the linear equation formed by equating both functions is used to find the x-coordinate of the intersection point.

You might be interested in
What are the coordinates of R’, the image of R(-4,3) after a reflection in the line y=x?
navik [9.2K]

Answer:

R'(3,-4)

Step-by-step explanation:

we know that

When you reflect a point across the line y = x, the x-coordinate and y-coordinate change places

so

The rule of the reflection across the line y=x is equal to

(x,y) ------> (y,x)

we have

R(-4,3) ------> R'(3,-4)

6 0
3 years ago
14. What is the reflection image of (5, -3) across the line y = -x? (3, -5) (3, 5) (-3, 5) (-3, -5)
Nata [24]

Answer:

The reflection image of (5, -3) across the line y = -x is (3, -5).

Step-by-step explanation:

You can find the reflection equation by putting the value of x and y in the line given one by one.

5 0
4 years ago
What is the product of -15 and -3? <br> A.5 <br> B.-5 <br> C.-18 <br> D.45
Anastaziya [24]
The product of -15 and -3 is d
7 0
3 years ago
Worth 33 points each!!
gogolik [260]

Where <em>x </em>is the number of books sold, <em>i </em>is income, and <em>c </em>is cost:

<em>c = 4x + 3500 </em> ($4 per book plus the 3500 flat marketing fee)

<em>i = 15x </em>($15 per book)

You are looking for the point where these intersect: the intersection is where the income is equal to the cost, and at any point after that the income is greater than the cost. So, set the equations equal to each other:

<em>4x + 3500 = 15x     </em>

subtract 4x from both sides

<em>3500 = 11x</em>              

divide both sides by 11

<em>x = 318.181818</em>

So, you would have to sell a minimum of 319 books in order to make a profit.

3 0
3 years ago
Read 2 more answers
Attorney A charges a fixed fee on $250 for an initial meeting and $150 per hour for all hours worked after that. Write an equati
Anettt [7]

let h be the number of hours then

A → C = 150h + 250 ( where C is charge )

B → C = 175h + 150

for 26 hours

A → C = (150 × 26 ) + 250 = 3900 + 250 = $4150

B → C = (175 × 26 ) + 150 = 4550 + 150 = $4700

Attorney A is cheaper for 26 hours, thus better deal

Equate the 2 equations to find hours they charge the same

175h + 150 = 150h + 250 ( subtract 150h from both sides )

25h + 150 = 250 ( subtract 150 from both sides )

25h = 100 ( divide both sides by 25 )

h = 4 ← number of hours when charges for both are equal

Thus Attorney A becomes a better deal at 5 hours


3 0
4 years ago
Other questions:
  • Please help! Points​ E, D, and H are the midpoints of the sides of ΔTUV. UV=48​, TV=62​, and HD=48. Find HE.
    9·1 answer
  • Put these in order from least to greatest kilometer,millimeter,inches,yards,centimeter,miles,meter
    10·1 answer
  • If a triangle has side lengths of 14 centimeters and 18 centimeters and the perimeter is 49 centimeters, how long is the third s
    9·1 answer
  • How to solve this math problem step by step tell me how to do it. I need to know to do it instead giving me the answer. A fracti
    9·1 answer
  • How would you simplify 8t+3-t
    14·1 answer
  • What is the correct order of the functions from least to greatest according to the average rate of change on the interval from x
    14·1 answer
  • -6-2y^2+6x-4x+1+7y^2-y^2
    13·1 answer
  • Solve using proportions
    9·1 answer
  • The probability that the coin shows tails and is the number 2
    7·2 answers
  • HELP HELP HELP<br> HELP HELP <br> HELP <br> (STEP BY STEP)
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!