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
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
Answer:
c
Step-by-step explanation:
f(x)=-4x+80
A grocery store sells three different quantities of sugar. A 1-pound bag costs $1.08, a 2-pound bag costs
$1.86, and a 3-pound bag costs $2.76. Enter the unit cost in price per pound for each. Complete the
description about how the unit cost changes as the quantity of sugar increases.
Answer:
for every pound is x + 10. x is originally 80
write and equation to solve for x.
what is the value of x?
Can someone tell me the answer, please?
Answer:
Rose bouquets
Step-by-step explanation:
Please mark me branliest?!?!
A plant is already 51 centimeters tall, and it will grow one centimeter every month. The plant's height, H (in centimeters),
after m months is given by the following function.
H (m) - 51+ m
What is the plant's height after 27 months?
Answer:
78 becayse u take 51 and add 27
Answer:
78
Step-by-step explanation:
just add them to get it it might sound hard but it's pretty easy
please find the median!!!
will give brainliest!!!
Answer:
8, 10, 15, 16, 17, 17, 22
16 is the median
Step-by-step explanation:
Answer:
median is 16
Step-by-step explanation:
John belongs to a boating club that rents sailboats for $60 for the first hour and $20 for each additional hour. After renting a boat one day, he owed the boating club a fee of $140.
Write and solve an equation to find how many hours he kept the boat.
Answer:
4 Hours
Step-by-step explanation:
The original boating fee is $60 then you add $20 per hour so 20 x 4 = 80
80+60=140 $140
Answer: 140=60+20x. He kept the boat for 4 hours
Step-by-step explanation:
x=hours
y=final cost and the final cost is $140
to find x you would use the equation: 140=60+20x
you would first subtract 60 from both sides and you would get:
80=20x
Now you would divide 20 from both sides
So x is 4
Original price of an SUV: $42,000.00
Tax: 3%
Answer:15
Step-by-step explanation:
If tan(A + B) = √3 and tan(A - B) = 1/√3; 0° < A + B ≤ 90° ; A > B, find A and B.
Pls answer it correctly..
Sol➜
We have, tan(A + B) = √3
⇒ tan(A + B) = tan60°
∴ A + B = 60° -----[i]
Again, tan(A - B) = 1/√3
⇒ tan(A - B) = tan30°
∴ A - B = 30° -----[ii]
Now, Adding [i] and [ii], we get
A + B + A - B = 60° + 30°
2A = 90° ⇒ A = 45°
Putting the value of A in [i], we have
45° + B = 60°
∴ B = 60° - 45° = 15°
Hence, A = 45° and B = 15°.
Answer:
[tex] \displaystyle A = {45}^{ \circ} \\ B = {15}^{ \circ}[/tex]
Step-by-step explanation:
we are given two equation and condition
[tex]\displaystyle \begin{cases}\tan(A+B)=\sqrt{3} \\ \tan(A - B) = \dfrac{1}{ \sqrt{3} } \end{cases}( {0}^{ \circ} < A+B < {90}^{ \circ} ) \: \text{and} \: A > B[/tex]
let's work with first equation
recall unit circle so A and B should be in Q:I
[tex] \displaystyle \: A+B = \arctan( \sqrt{3} )[/tex]
[tex] \displaystyle \: A+B = {60}^{ \circ} \cdots \: \text{I}[/tex]
let's work with second equation:
[tex] \displaystyle \: \tan(A - B) = \frac{1}{ \sqrt{3} } [/tex]
[tex] \displaystyle \: A - B = \arctan(\frac{1}{ \sqrt{3} } )[/tex]
[tex] \displaystyle \: A - B = {30}^{ \circ} \cdots \: \text{II}[/tex]
now let's use elimination method to figure out A and B
to do so combine equation I and II
[tex] \displaystyle \underline{\begin{array}{c c c}A+B = {60}^{ \circ} \\ A - B = {30}^{ \circ} \end{array}} \\ 2A = {90}^{ \circ} [/tex]
divide both sides by 2:
[tex] \displaystyle \: \frac{2 A}{2} = \frac{ {90}^{ \circ} }{2} \\ A = {45}^{ \circ} [/tex]
substitute the value of A to the second equation:
[tex] \displaystyle \: {45}^{ \circ} - B = {30}^{ \circ} [/tex]
cancel 60° from both sides:
[tex] \displaystyle \: - B = { - 15}^{ \circ} [/tex]
divide both sides by -1
[tex] \displaystyle \: B = {15 }^{ \circ} [/tex]
hence,
[tex] \displaystyle \: A = {45}^{ \circ} \\ B = {15}^{ \circ} [/tex]
Help ASAP!!!!!!! It’s to confusing
Answer:
every one equals 32
Step-by-step explanation:
Every hour equals 32 tickets sold
Answer:
32
Step-by-step explanation:
all equal 32
The system shown is
• Inconsistent
• equivalent
© consistent
Answer:
Consistent
Step-by-step explanation:
Find the value of x.
Answer:
X = 9
okay If I'm wrong sry what's 9x3 it's 45 right ( me not using a caluctalter ) ( I didn't even spell that Right lol ) but anyways it's X=9
PLEASE HELP
What is the area of this trapezoid?
Enter your answer in the box.
Answer:
it would be 44
Step-by-step explanation:
because you do base ×hight ×base
The symbol used in the statement that relates the sides or angles looks like what?
Help........Betty wants to bake the perfect cookie. She wants to determine the ideal temperature at which to bake the cookies. She has enough batter to make 60 cookies. She decides to randomly assign 15 cookies to be baked at 300°, 15 at 325°, 15 at 350°, and 15 at 375°. The baking time for each batch is 12 minutes. Which statement about the randomization for the completely randomized design is correct? Betty should place the first 15 balls of cookie dough that she scoops from the batter on a tray, and those will be baked at 300°. The next 15 will be placed onto a second tray to be baked at 325°. She should continue in this manner until all 60 cookies have been placed on trays. Betty should scoop a ball of cookie dough from the batter, and then roll a die. Numbers 1–4 would indicate at which temperature the cookies will be baked, and 5–6 would indicate that she should roll again. She should repeat this process until all 60 cookies have been allocated. Betty should prepare all 60 cookies. Each cookie will receive a number. The numbers will be written on slips of paper, put into a hat, and shuffled well. The first 15 numbers drawn will indicate the cookies to be baked at 300°, the next 15 will indicate the cookies to be baked at 325°, and so on until all 60 cookies are allocated. Betty should place the first cookie on a tray to be baked at 300°. The second cookie will go on a tray to be baked at 325°, the third will go on a tray to be baked at 350°, and the fourth will go on a tray to be baked at 375°. She will continue placing the cookies in this pattern until all 60 cookies are on trays to be baked.
Answer: Betty should prepare all 60 cookies. Each cookie will receive a number. The numbers will be written on slips of paper, put into a hat, and shuffled well. The first 15 numbers drawn will indicate the cookies to be baked at 300°, the next 15 will indicate the cookies to be baked at 325°, and so on until all 60 cookies are allocated.
Step-by-step explanation: I just got it correct on Edge :)
The true option about the randomized design is (c) Betty should prepare all 60 cookies. Each cookie will receive a number. The numbers will be written on slips of paper, put into a hat, and shuffled well. The first 15 numbers drawn will indicate the cookies to be baked at 300°, the next 15 will indicate the cookies to be baked at 325°, and so on until all 60 cookies are allocated.
The given parameters are:
[tex]\mathbf{n = 60}[/tex]
[tex]\mathbf{Batches = 4}[/tex]
[tex]\mathbf{Cookies= 15}[/tex] ---- the number of cookies in each batch
[tex]\mathbf{Temperature= 300,325,350,375}[/tex]
To randomly assign the cookies to the given temperatures, all cookies have to be subjected to the same conditions (except the difference in the temperature).
This means that, she can bake all the cookies at once at different temperatures, while noting down the cookies with a given number.
Hence, the true option is (c)
Read more about randomization at:
https://brainly.com/question/20046524
Complete the sentences to describe the function f (x) = StartFraction 2 x squared + 16 x Over 16 x cubed minus x EndFraction.
The function is discontinuous at x =
.
To create the extended function, add f(x)=
.
Answer:
0 & -16,x=0
Step-by-step explanation:
The function is discontinuous at x = 0, x = 1/4 and x = -1/4.
To create the extended function, add f(x) = 0.
What does it mean when a function is discontinuous?A function is discontinuous when the f(x) cannot be defined.
What is an extended function?An extended function aims to make the function continuous at some values of the variable.
It is given that:
[tex]f(x)=\frac{2x^{2}+16x}{16x^{3}-x}[/tex]
StepsStep 1 of 2:The function becomes discontinuous when the denominator becomes zero.
∴ 16x³ - x = 0
⇒ x(16x² - 1) = 0
⇒ x = 0 and 16x² -1 = 0
This is further simplified:
16x² -1 = 0
x² = 1/16
x = ±1/4
This means that the function is discontinuous at x = 0, x = 1/4 and x = -1/4.
Step 2 of 2:The function can be extended as follows:
[tex]f(x)=\frac{2x^{2}+16x}{16x^{3}-x}\\f(x)= \lim_{x \to 0} \frac{2x^{2}+16x}{16x^{3}-x}\\= \lim_{x \to 0} \frac{x(2x+16)}{x(16x^{2}-1)}\\= \lim_{x \to 0} \frac{2x+16}{16x^{2}-1}\\[/tex]
We do not have to add anything to f(x) to extend it. Hence zero can be added to it.
Therefore, we have found that the function is discontinuous at x = 0, x = 1/4 and x = -1/4, and that we can create the extended function by adding 0.
Learn more about discontinuity here: https://brainly.com/question/1417220
#SPJ2
which of the following situations has a straight line doesn't pass through the origin?
a) X and Y are in a proportional relationship
b) y= 10 + 250
c) David and $15 to his savings account each month
d) every five t-shirts cost $12
Answer:
a or c
Step-by-step explanation:
hope i helped sorry if not?! have a wonderful day! :)
Find the quotient: 23 ½ ÷ ¼ =
Answers:
23 2/6
23
23 1/8
94
Answer:
The answer is d: 94
Step-by-step explanation:
Does any one know how to do determining the GFC
Answer:
Yes, GCF stands for (greatest common factor)
so to find it do this:
List the prime factors of each number.
Circle every common prime factor — that is, every prime factor that's a factor of every number in the set.
Multiply all the circled numbers. The result is the GCF.
Step-by-step explanation:
what is the 5th significant number of 24.98063
Answer:Look at the 2nd significant digit that the number has.
In a decimal, the first significant digit is the first non-zero digit. The 2nd significant digit is the digit after the first.
if it is less than 5 then round the number down by removing the rest of the number after the 1st significant digit and filling in with zeros;
if it is 5 or more then round the number up by adding one on to the 1st digit and removing the rest of the number and filling in with zeros.
Step-by-step explanation:
8726 rounds up to 9000, because the 2nd significant digit is a 7.
73.283 rounds down to 70 because the 2nd significant digit is a 3.
152 rounds up to 200 because the 2nd significant digit is a 5.
0.003826 rounds up to 0.004 because the 2nd significant digit is an 8.
0.60828 rounds down to 0.6 because the 2nd significant digit is a 0.
Decrease £101 by 43%
Answer:
Step-by-step explanation:
100-43=57%
57/100 x 101
0.57 x 101
£57.57
or
43/100 x 101
0.43 x 101
43.43
100-43.43
=£57.57
Where can parentheses be placed in the expression so that it has a value of 500?
6+23−4 ⋅ 3
Answer:
(6 + 2)³ - 4 x 3
Step-by-step explanation:
Which expression is equivalent to
(r-7)6?
Answer:
Step-by-step explanation:
The expression equivalent to
[tex]( r^{-7})^{6} \\is\\\frac{1}{r^{42} }[/tex]
Hope it helps :)
Answer for brainliest.
Answer:
2880 in^3
Step-by-step explanation:
since 6 times 2 is 12 then you multiply 1440 times 2 as well :)
Mark me brainlyiest pls :)
Answer: [tex]720^{3}[/tex]
Step-by-step explanation: plz mark me brainliest
help agin please number 8
Answer:
G
Step-by-step explanation:
5 + 7 > 9
12 > 9
5 + 9 > 7
14 > 7
7 + 9 > 5
16 > 5
Answer:
G as
5+7 more than 9
5+9 more than 7
7+9 more than 5
Why couldn’t you live without your tv 5 sentences!!!!
Answer:
because would die of boredom .and i wouldn't have Netflix or Hulu.and i would have nothing to look forward. to when i come home from school i would have to just go and do homework. and without TV you would not have a news channel so you wouldn't know things to are important to life.
Step-by-step explanation:
A 960-square-foot apartment in New York City costs $540,000. What is the price per square foot? $
Answer:
The price per square foot is $468.75
Step-by-step explanation:
You would take the price and divide it by the square footage.
540,000
------------- = 468.75
960
3y - 21 = 12x
Help please
find x and y in
(i) 23x- 29y= 98 and 29x -23y =110
(ii) 99x +101y =499 and 101x +99y =501
Answer:
23 x-29y=98.......(1)
29 x-23y=110.......(2)
adding (1) and (2)we get
52 x-52y=208
52(x+y)=208
x-y=4...(3)[we get four by dividing 208 with 52]
subtract (2) from (1) we get
-6 x-6y=-12
x-y=2.....(4)
adding (3) and (4) we get
2x=6
therefore x=3
now from (4) we get
x-y=2 [we substitute xfor 3]
3-y=2
y=2-3
y=-1( that is the answer for your first question)
Step-by-step explanation:
99x+101y=499.....(1)
101x+99y=501.....(2)
add (1) and (2)
(99+101)x+(101+99)=(499+501)
200x+200y=1000
200(x+ y)=1000
x+y=5.....(3)
subtract (2)from(1) we get
2x-2y=2
2(x-y)=2
x+y=1.......(4)
x+y=5
x-y=1(add them together)
2x=6
x=3
substitute x equal to 3 in equation (3)
x+y=5
3+y=5
y=2
y equal to 2 and x equal to 3
hope is not too lateWhich TWO representations show the same function
(picture included)