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
dangina [55]
3 years ago
13

The table represents a linear function. find the values of a,b, and c. Show your work.

Mathematics
1 answer:
viva [34]3 years ago
6 0

Answer:

The values of a , b , c are ⇒ a = 1 , b = 10 , c = 9

Step-by-step explanation:

* Lets describe the meaning of the linear function

- Linear function is represented by a line graphically

- The equation of the line is y = mx + c, where m is the slope

  of the line and c is the y-intercept (the point of intersection

  between the line and the y-axis is (0 , c))

- m = change of y/change of x

- We can find m from any two points on the line

* Lets use m to find a, b and c

- Use the points (3 , 8) and (5 , 9) to find m

∵ m = (y2 - y1)/(x2 - x1)

∴ m = (9 - 8)/(5 - 3) = 1/2

- Find a by using points (a , 7) and (3 , 8) ⇒ (or (5 , 9))

∵ m = (8 - 7)/(3 - a) = 1/2

∴ 1/(3 - a) = 1/2  ⇒ by using cross multiplication

∴ 3 - a = 2 ⇒ subtract 3 from both sides

∴ -a = -1 ⇒ × -1 both sides

∴ a = 1

- Find b by using points (5 , 9) and (7 , b) ⇒ (or (3 , 8))

∵ m = (b - 9)/(7 - 5) = (b - 9)/2

∴ (b - 9)/2 = 1/2  ⇒ by using cross multiplication

∴ 2(b - 9) = 2 ⇒ open the bracket

∴ 2b - 18 = 2 ⇒ add 18 to both sides

∴ 2b = 20 ⇒ ÷ 2

∴ b = 10

- Find b by using points (5 , 9) and (c , 11) ⇒ (or (3 , 8))

∵ m = (11 - 9)/(c - 5) = 2/(c - 5)

∴ 2/(c - 5) = 1/2  ⇒ by using cross multiplication

∴ c - 5 = 4 ⇒ add 5 to both sides

∴ c = 9

* The values of a , b , c are ⇒ a = 1 , b = 10 , c = 9

You might be interested in
Millimeters<br> Equal 15 centimeters 4 millimeters
Svetradugi [14.3K]

154mm

we know that  1cm = 10 mm

 therefore      15cm= 10*15 mm

                               =  150 mm

and 4 mm

we get total mm= 15cm +4mm

                          = 150mm+4mm

                           = 154 mm                  

mm stands for millimeters and cm stand for centimeters

learn more of millimeter here brainly.com/question/25862563

#SPJ9

5 0
1 year ago
Which statement is true? a,b,c or d
Brums [2.3K]
It might be d but i’m not sure
8 0
2 years ago
Based on the pattern shown, what is 46?<br> 41 = 4<br> 42 = 16<br> 43 - 64
Tomtit [17]

Answer: 44 equals 128

Step-by-step explanation: This is because you do 16 times 4 to get 64, then you double that to 8, so you do 16 times 8 and get your answer 128

                 HOPE IM RIGHT!

8 0
3 years ago
Which of the following ( 15, 20, 30, 57 ) is the product of exactly three different prime numbers?
Andrei [34K]

Answer:

30=2*3*5, so it's 30

Step-by-step explanation:

15=3*5, so it's not 15

20=2*2*5, so it's not 20

30=2*3*5, so it's 30

57=19*3, so it's not 57

3 0
2 years ago
Beckett purchase the diamond ring in 2012 for $12,000 if the value of the rain increases by 32% each year what will the ring be
Brums [2.3K]

Answer:

$119520

Step-by-step explanation:

Given: Purchase price of Diamond ring= $12000

           Value of ring increase by 32% each year.

 

First finding number of year between 2012 and 2040, to know the time period of value appreciation.

Time period= 2040-2012= 28\ years          

∴ Time period of value appreciation is 28 years.

Now, finding the value of diamond ring increased after 28 years.

Value of ring increased after 28 years= \frac{12000\times 32\times 28}{100}

∴ Increased value of diamond ring after 28 years= $107520

Next, Value of diamond ring after 28 years= 12000+107520= \$ 119520

Hence, value of diamond ring in 2040 is $119520

5 0
3 years ago
Other questions:
  • Mal downloads 4 songs each week for 5 weeks.Then he sorts the songs into equal groups.There are 10 songs in each group.How many
    14·2 answers
  • What is |-14|<br> a. -14<br> b. -7<br> c. 7<br> d. 14<br> e. 1/14
    12·2 answers
  • Solvex2 - 64 = 0.
    12·1 answer
  • A profit of $9 in integers
    14·2 answers
  • Side B C is 10 inches long, and Side A B is StartRoot 300 EndRoot inches long. What is the length of Side A C?
    5·2 answers
  • HELPPPP
    5·1 answer
  • What is 5(4x + 3.5) equivalent to?
    12·1 answer
  • Y varies directly as x, y = 35 when x = 5. Find y when x = 12
    11·1 answer
  • Write and algebraic expression for 10 less than the product of seven and F
    9·1 answer
  • Please help me with this question​
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!