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
Bond [772]
2 years ago
8

A school system is reducing the amount of dumpster loads of trash removed each week. In week 5, there were 60 dumpster loads of

waste removed. In week 10, there were 40 dumpster loads removed. Assume that the reduction in the amount of waste each week is linear. Write an equation in function form to show the amount of trash removed each week.
f(x) = −4x + 60
f(x) = 4x + 60
f(x) = −4x + 80
f(x) = 4x + 80
Mathematics
1 answer:
Lana71 [14]2 years ago
5 0

Answer:

f(x) = -4x + 80

Step-by-step explanation:

You are given two points,

(5, 60) and (10, 40)

in order to get the equation, let's use the form slope-intercept form

m = (y1 - y2) / (x1 - x2)

m = (60 - 40) / (5 - 10)

m = 20/-5

m = -4

Get the x intercept

y = mx + b

60 = (-4)(5) + b

b = 60+20

b = 80

so the equation is

y = -4x + 80

f(x) = -4x + 80

You might be interested in
Ricky needs 3 1/4 cups of sugar to make muffins. He already has 2 2/4 cups. How many more cups of sugar does he need? (12-9)
Mnenie [13.5K]
As I understood your typing <span>3 1/4 means 3 \frac{1}{4} So,

</span>3  \frac{1}{4} -2 \frac{2}{4} = \frac{13}{4} - \frac{10}{4}= \frac{3}{4}

Is it what you are looking for?

5 0
3 years ago
Determine whether the statement is always true, sometimes true, or never true. Give an example. (a) Both sides of an equation ca
arsen [322]

Answer:

(A) Always true

(B) Seldom true

Step-by-step explanation:

(A) Both sides of an equation can be multiplied by the same number without this action changing the solution of the equation.

Keyword here is "number".

Multiplying both sides of an equation by an equal quantity (same number) will result in same solution after solving for the unknown in the equation. This is because that numeric quantity can always be removed by dividing both sides of the equation by it or by a factor (or multiple) of it.

EXAMPLE:

For a linear equation, 4x - 6 = 15x

let's find the solution, in other words solve for the unknown value X.

4x - 15x = 6

-11x = 6

x = -6/11

Now multiply both sides of the equation by 3.

3(4x - 6) = 3(15x)

12x - 18 = 45x   ___new equation

Solve for X

12x - 45x = 18

-33x = 18

x = -18/33

Reduce the fraction to its simplest form by looking for a number that can divide both numerator and denominator without remainder. In other words, think of a number that is a factor of 18 and a factor of 33.

That common factor or highest common factor (HCF) is 3.

Go ahead and reduce the fraction.

x will be reduced to -6/11

(B) Both sides of an inequality can seldom be multiplied by the same number, without such action changing the solution set of the equation.

Inequalities are more complex. Operational signs even change sometimes, in the course of finding the solution set of the inequality.

Sometimes, multiplying both sides of an inequality by a given numeric quantity will change its solution set and sometimes, it won't.

5 0
3 years ago
What is the surface area of this design ?
Fed [463]

Answer:

384 8x8=64 64x2=128 128x3=384

Step-by-step explanation:

8 0
3 years ago
Help me plsss 16,17,18 ;((((
ArbitrLikvidat [17]

Answer:

  16. -197 < -110

  17. 167 > -65

  18. Mercury, Earth, Mars, Jupiter, Uranus, Neptune

Step-by-step explanation:

It can help to plot these temperatures on a number line. The ones farther to the left are less than ones to their right.

__

16. -197 < -110 . . . Uranus < Jupiter

__

17. 167 > -65 . . . Mercury > Mars

__

18. Reading the graph from right to left, the order greatest to least is ...

  Mercury, Earth, Mars, Jupiter, Uranus, Neptune

Not surprisingly, this is the order of these planets outward from the sun.

6 0
3 years ago
Simplify: |3−8|−(12÷3+1)2
Nonamiya [84]

Answer:

|3-8|-(12/3+1)2

=|-5|-(4+1)2

=5-5x2

=5-10

=-5

You said simplify, but it can be solve.

7 0
3 years ago
Read 2 more answers
Other questions:
  • Expand and Solve MARK BRAINLEST
    12·2 answers
  • Sam had 1 1/2 m of rope. he cut 5/8 m used it for a project. how much rope does sam have left
    12·1 answer
  • Which double angle or half angle identity would you use to verify the following: csc x sec x = 2 csc 2x
    15·2 answers
  • The sum of two numbers is 36. The larger number is three times the smaller number. Find the numbers.
    9·1 answer
  • customer a with a bronze service level package calls in a critical system failure at 9:00 am. customer b with a silver service l
    5·1 answer
  • (6y-10) °+ (6y+10) °
    15·1 answer
  • Connor earns $24 working every 1.5 hours.<br> Complete the table using equivalent ratios.
    14·2 answers
  • Which graph shows the solution set of the inequality 29(x+8) &lt; 26.19<br> 10<br> HELLLLP
    5·1 answer
  • The value of sqrt-9 is not -3 because
    6·2 answers
  • Please help, I am literally freaking out.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!