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
Alexeev081 [22]
3 years ago
10

Write the following equation in slope-intercept form: 4x – 5y = 15.

Mathematics
1 answer:
mylen [45]3 years ago
8 0

Answer:

y = (4/5)x - 3

Step-by-step explanation:

slope intercept form: y = mx + b

Note the equal sign, what you do to one side, you do to the other. First, subtract 4x from both sides:

4x - 5y = 15

4x (-4x) - 5y = 15 (-4x)

-5y = -4x + 15

Next, divide -5 from both sides:

(-5y)/-5 = (-4x + 15)/-5

y = (-4x + 15)/-5

Simplify Divide -5 from all terms within the parenthesis:

y = (4/5)x - 3

y = (4/5)x - 3 is your answer.

~

You might be interested in
For all values of x
Yuliya22 [10]

Answer:

A.) gf(x) = 3x^2 + 12x + 9

B.) g'(x) = 2

Step-by-step explanation:

A.) The two given functions are:

f(x) = (x + 2)^2 and g(x) = 3(x - 1)

Open the bracket of the two functions

f(x) = (x + 2)^2

f(x) = x^2 + 2x + 2x + 4

f(x) = x^2 + 4x + 4

and

g(x) = 3(x - 1)

g(x) = 3x - 3

To find gf(x), substitute f(x) for x in g(x)

gf(x) = 3( x^2 + 4x + 4 ) - 3

gf(x) = 3x^2 + 12x + 12 - 3

gf(x) = 3x^2 + 12x + 9

Where

a = 3, b = 12, c = 9

B.) To find g '(12), you must first find the inverse function of g(x) that is g'(x)

To find g'(x), let g(x) be equal to y. Then, interchange y and x for each other and make y the subject of formula

Y = 3x + 3

X = 3y + 3

Make y the subject of formula

3y = x - 3

Y = x/3 - 3/3

Y = x/3 - 1

Therefore, g'(x) = x/3 - 1

For g'(12), substitute 12 for x in g' (x)

g'(x) = 12/4 - 1

g'(x) = 3 - 1

g'(x) = 2.

5 0
3 years ago
Solve this problem using the proper formula. A carpenter is building a bookcase the perimeter of the top is 108 in. What length
lapo4ka [179]
Assuming the length is y and the width is x
Perimeter = y + y + x + x
                = 2y +2x
                = 2 (y + x)
if the is 8 and the perimeter is 108
   108 = 2 (y +8)
    108/2 = y+8
    54    = y +8
    54 - 8 = y
    46 = y

Length = 46 inches
3 0
3 years ago
Read 2 more answers
Draw a picture to support your work and how many yards did the grasshopper travel after hopping twice
tankabanditka [31]
So the grasshopper traveled 2 yards in each jump
7 0
3 years ago
Given the equation 5 + x -12 = 2x - 7. Part A. Solve the equation 5 + x - 12 = 2x - 7. In your final answer, be sure to state th
Nitella [24]

Answer:

srry guys i dont know this

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Can someone help me with a quick Algebra question, Thanks! ;)
Viktor [21]
The answer is equal to (B). The solutions are x = -7.7 and x = -1.3.
3 0
3 years ago
Other questions:
  • arts and crafts shop has a bolt of crimson velvet 32 M long a customer came in during the morning and bought 120cm of the velvet
    5·1 answer
  • Which set of integers is a Pythagorean triple? 3, 5, 6 5, 12, 13 15, 9, 17 6, 8, 12
    8·2 answers
  • Greenboro gets 12 times as many inches of snow as Redville gets. Altogether, the two towns get 65 inches of snow. How many inche
    12·1 answer
  • Chuck E Cheese charges for the number of hours you rent the party room and the number of
    11·1 answer
  • A book store bought 160 copies of a book from the publisher for 4,000. If the store gives away 2 books, how much money will it l
    11·1 answer
  • Rotunjiti pina la unitati a)27,21 b)34,35 c)2,705 d)3,801 e)106,23 f)203,45 g)2004,7 h) 2005,8
    6·1 answer
  • What is 5 + 5 /2 - 4 x 10
    11·1 answer
  • HELP ME A rock garden is in the shape of a triangle as shown. Which equation could be used to find the area of the rock garden?
    9·1 answer
  • On a loan of $4,500 for 2 1/2 years at 4% per year, how much do you wind up paying to pay off the loan?
    12·2 answers
  • Expand then fully factorise 9(f + 3) +36f - 3)
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!