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
adelina 88 [10]
2 years ago
7

Find the equation of the linear function represented by the table below in slope-

Mathematics
1 answer:
Eva8 [605]2 years ago
4 0

Answer:

f(x) = 5x - 5

Step-by-step explanation:

Let the equation of the linear function is,

f(x) = mx + b

Here, m = Slope of the graph

b = y-intercept

Slope of the line passing through (x_1,y_1) and (x_2,y_2) is given by,

m = \frac{(y_2-y_1)}{(x_2-x_1)}

From the table attached,

Slope of the line passing through (2, 5) and (6, 25) will be,

m = \frac{25-5}{6-2}

m = 5

Equation of the linear function will be,

f(x) = 5x + b

Since, a point (10, 45) lies on the function,

45 = 5(10) + b

b = 45 - 50

b = -5

Equation of the linear function will be,

f(x) = 5x - 5

You might be interested in
What is the quotient in simplified form? State any restrictions on the variable? \frac{x^2-16}{x^2+5x+6} /\frac{x^2+5x+4}{x^2-2x
lora16 [44]
\frac{x^2-16}{x^2+5x+6} / \frac{x^2+5x+4}{x^2-2x-8}

We can begin by rearranging this into multiplication:

\frac{x^2-16}{x^2+5x+6} * \frac{x^2-2x-8}{x^2+5x+4}

Now we can factor the numerators and denominators:

\frac{(x+4)(x-4)}{(x+3)(x+2)} * \frac{(x-4)(x+2)}{(x+4)(x+1)}

The factors (x+4) and (x+2) cancel out, leaving us with:

\frac{(x-4)}{(x+3)} * \frac{(x-4)}{(x+1)}

Our answer comes out to be:

\frac{(x-4)^{2} }{(x+3)(x+1)} or \frac{ x^{2} -8x+16}{ x^{2}+4x+3 }

Based on the numerator of the second fraction (since we used its inverse), the denominators of both, and the factors we canceled out earlier, the restrictions are x ≠ -4, -3, -2, -1, 4
4 0
2 years ago
A plumber charges 130 to start job plus 56 per hour . How many hours did she work if the total bill is 214
iragen [17]

Answer:

The plumber worked for 1.5 hours

Step-by-step explanation:

y = 130 + 56x

Substitute 214 for y in the equation

214 = 130 + 56x

-130   -130                      Subtract 130 from both sides

84 = 56x                         Divide both sides by 56

1.5 = x

4 0
2 years ago
Read 2 more answers
How do I solve -2(x+1)=-8x+1
mylen [45]
-2 (x+1)= -8x+1
-2x-2= -8x+1
+2x. +2x
-2= -6x+1
-1. -1
-3= -6x
÷-6
x=.5

X=0.5
4 0
3 years ago
Find the equation of this line
adelina 88 [10]

Answer: y = - 3/1x + 4

Step-by-step explanation:

- 3/1x = -3x

y = - 3/1 + 4 = -3x + 4

6 0
2 years ago
Read 2 more answers
Which of these is equivalent to 3^ -2?
neonofarm [45]
I think the answer is c.
3 0
3 years ago
Other questions:
  • the scale factor of the dimensions of two similar wood floors is 5 : 4. It costs $368 to refinish the smaller wood floor.
    8·2 answers
  • A gardener is planting two types of trees: Type A is 5 feet tall and grows at a rate of 19 inches per year. Type B is 7 feet tal
    13·1 answer
  • Each of the four sides of a swimming pool measures 12 meters. The pool is 6 meters deep. How much water will be needed to fill i
    6·2 answers
  • PLEASE HURRY!!! TIMED!!!! WILL GIVE BRAINLIEST!!!
    14·2 answers
  • Please help me with this. 10 points! (Math)
    13·2 answers
  • What is the IQR for the box plot below?<br> (Interquartile range)
    13·2 answers
  • If the length of a rectangle is (x + 7) inches and the width is (3x+2) inches. Which expression represents the rectangle's area?
    12·1 answer
  • Use the distributive property to expand the following expression<br><br> (9m-6)7<br><br> please help
    11·2 answers
  • K(x)= -x^2 inverse function SHOW WORK PLEASE HELP FAST
    7·1 answer
  • HELP!!! PLZZ THIS IS SO FRICKIN HARD!
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!