In elementary algebra, a trinomial is a polynomial consisting of three terms or monomials
hope this helped <3
They estimate that their current (older) fridge, which they got for free, costs them about $17 a month in electricity charges to operate. They found a new fridge that costs $1,050 to purchase and would cost only around $6 a month in electricity charges.
The new fridge comes with a 10-year warranty, so they assume the new fridge to last for 10 years without any extra repair or replacement fees.
If they keep their old fridge, then they assume they will need to pay around $220 sometime over the next 10 years in maintenance costs to keep it running.
(For this comparison, assume they set aside the money to maintain the old fridge right at the beginning of the 10 years, even though they probably won't need the money until several years later.)
Let x represent the number of months. Let y represent total cost in dollars.
Step 3: Apply Quantitative Tools
Set up a system of equations that could be used to help Garrett and Judy Kay decide if buying the new fridge is worth it.
Create functions that describe the total cost in dollars for each fridge.
New Fridge Total Cost Function
Step-by-step explanation:
Step one:
given
current (older) fridge
electricity charges= $17 monthly
maintenance costs= $220
let the number of months be x
and the total cost be yo
the expression for the cost for the old fridge is
yo=220+17x---------1
New fridge
electricity charges= $6 monthly
costs= $1,050
let the number of months be x
and the total cost be yn
the expression for the cost for the old fridge is
yn= 1050+6x---------2
Hence the system of equation for the situation is
yo=220+17x---------1
yn= 1050+6x---------2
Step two
for 10 years there are 12*10= 120 months
put x= 120 in both expressions and compare the total
yo=220+17(120)---------1
yo=220+2040
yo=$2,260
yn= 1050+6(120)---------2
yn=1050+720
yn=$1770
Based on the analysis it will be less expensive to get the new fridge, hence buying the new fridge is worth it.
Carolyn Mills does maintenance work at a golf course. She worked these hours last season: April, 150; in each of the next four months, 200; September, 100. If she gets paid $10.50 an hour, what was her gross pay for the season?
Answer:
$11,025
Step-by-step explanation:
April: 150hrs
May-August: 200hrs x 4 = 800 hrs
September: 100 hrs
$10.50/hr pay rate
150+800+100 = $1,050
$1,050 x $10.50 = $11,025
*Gross pay is the amount of money made before tax
Please answer these questions in the image ( click image to see fully )
9) x= -7
10) x= 10
11) x= 5
12) x= 6
13) x= 4
14) x= -9
15) x= 3
16) x= 9
sorry it took so long! hope this helps!! :)
If –1 is a root of f(x), which of the following must be true?
A factor of f(x) is (x – 1).
A factor of f(x) is (x + 1).
Both (x – 1) and (x + 1) are factors of f(x).
Neither (x – 1) nor (x + 1) is a factor of f(x).
Answer:
B
Step-by-step explanation:
if x=-1
then x+1 is a factor of f(x)
Answer:
B
Step-by-step explanation
A wise man once told me that this do be correct.
Will mark brainliest please help me ASAP thank you it is due soon
Answer:
y = -5/2x + 7
Step-by-step explanation:
The line is perpendicular, so mx is the reciprocal of 2/5 which would be -5/2. Then you plug that and (4, -3) into the equation y = mx + b, which will come out as -3 = (-5/2)(4) + b. Multiply mx to get -3 = -10 + b. Add 10 to both sides to get 7 = b. Plug in mx and b into the equation and you have your answer.
What is the image of -1,-4 after a reflection over the x axis
The image of the point after the reflection over x axis is P' ( -1 , 4 )
What is Reflection?Reflection is a type of transformation that flips a shape along a line of reflection, also known as a mirror line, such that each point is at the same distance from the mirror line as its mirrored point. The line of reflection is the line that a figure is reflected over. If a point is on the line of reflection then the image is the same as the pre-image. Images are always congruent to pre-images.
The reflection of point (x, y) across the x-axis is (x, -y). When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).
Given data ,
Let the point be represented as P
Now , the coordinates of the point P is P ( -1 , -4 )
The point P is reflected over the line x axis ,
So , when you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate is taken to be the additive inverse.
Substituting the values in the equation , we get
The image of the reflected point is P' ( -1 , - ( -4 ) )
The image of the reflected point is P' ( -1 , 4 )
Hence , the reflected point is P' ( -1 , 4 )
To learn more about reflection click :
https://brainly.com/question/4681298
#SPJ2
How many even k-digit numbers can be constructed out of the digits 3, 4, 5, 6, and 7?
a. Assume first that you may use the same digit again.
b. Assume that you cannot use a digit more than once.
Answer:
A. 1562 numbers , B. 130 numbers
Step-by-step explanation:
A) Using same digit again
1 digit nos = 2 ( ie 4 , 6 )
2 digit nos = 5 (ie any no) x 2 ( ie 4 ,6 )
Similarly
3 digit nos = 5 x 5 x 2
4 digit nos = 5 x 5 x 5 x 2
5 digit nos = 5 x 5 x 5 x 5 x 2
Adding all 5 equations
Total = 2 + 10 + 50 + 250 + 1250 = 1562
B) Cant use a digit more than once
1 digit nos = 2 ( ie 4 , 6 )
2 digit nos = 4 ( ie any no other than 4 or 6) x 2 ( ie 4 , 6 )
Similarly
3 digit nos = 4 x 3 x 2
4 digit nos = 4 x 3 x 2 x 2
5 digit nos = 4 x 3 x 2 x 1 x 2
Adding all five equations
Total = 2 + 8 + 24 + 48 + 48 = 130
which phrase should be inserted in the line to correctly compare the two fractions? use the models for help.
6/10______4/6
A) is greater than
B) cannot be compared to
C) is less than
D) is equal to
Answer:
A.
Step-by-step explanation:
A cookie recipe for 12 cookies calls for 4 cups of flour. How much flour is needed to make 90 cookies?
Answer:
30 cups of flour
Step-by-step explanation:
For every 12 cookies you need 4 cups of flour, which represents 1 batch of cookies. You want to figure out how many batches there are in 90 cookies. To do this you divide the total amount of cookies by the number of cookies in a batch.
90 cookies total/12 cookies/batch = 7.5 batches of cookies.
For each batch you need 4 cups of flour so you multiple the number of batches by the number of cups of flour.
7.5 batchs * 4 cups/batch = 30 cups of flour
so you need 30 cups of flour to make 90 cookies
PLS HELP !) POINTS What is the solution to the equation 5 + 9x = 50?
x = 1
x = 4
x = 5
x = 6
what is the distance from -2 to 0 ?
Answer:
B :)
Step-by-step explanation:
110 + 3x +11 = 16x + 4 solve for x
Answer:
x = 9
Step-by-step explanation:
110 + 3x + 11 = 16x + 4
121 + 3x = 16x + 4
-3x -3x
121 = 13x + 4
-4 - 4
117 = 13x
117 ÷ 13 = x
9 = x
Check:
110 + 3(9) + 11 = 16(9) + 4
121 + 27 = 144 + 4
148 = 148
Answer:
x=9
Step-by-step explanation:
Which of the following is the graph of y = sin(0.5x)?
The graph of option B is the graph of y=sin(0.5x).
Period of sin graphThe formula to find the period of the graph of sin(bx) is [tex]P=\dfrac{2\pi}{b}[/tex]
How to find the graph?Use the formula [tex]P=\dfrac{2\pi}{b}[/tex] in order to find the graph of y=sin(0.5x) where we will substitute b=0.5.
We will get,
[tex]P=\dfrac{2\pi}{0.5}\\P=\dfrac{20\pi}{5}\\\\P=4\pi[/tex]
Here the period of the graph y=sin(0.5x) is [tex]4\pi\\[/tex].
So, the graph of option B is the graph of y=sin(0.5x) as it has the period of [tex]4\pi\\[/tex].
Learn more about the period of sin graph here- https://brainly.com/question/7803748
#SPJ2
Answer:
D on edge 2023
Step-by-step explanation:
A square has a side length equal to 6a-2b inches. What is the area of this square
The answer is 36a²+4b²
explain whether the points (13,4), (-7,3), (-1,2), (5,1), (11,0), (17,-1) represents the set of all the solutions for the equation y= -1/6x + 11/6
Answer:
It does represent the equation
Step-by-step explanation:
y=mx + b
y= -1/6x + 11/6
I need help please!:D
Answer:
The first and second one
Step-by-step explanation:
1000=10^3. 1000x0.43 is 430
10=10^1. 10x0.43 is 4.3
what are 4 different slopes
Answer:
negative, positive, zero, and undefined
Step-by-step explanation:
Is this correct
Please let me know if it is or not
Give correct answer
I’ll be giving brainliest
Answer:
yes
Step-by-step explanation:
Jada have a monthly budget for her cell phone bill last month she spent 120% of her budget and the bill was $60 what is Jada monthly budget
Assume that the budget is n.
Now we are given that 120% of the budget is equal to $60.
This means that:
60 = 1.2n
Solve the equation for n to know the budget:
60 = 1.2n
n = 60 / 1.2 = 50
Based on the above calculations, Jada's budget is 50$
Answer:
58.8
Step-by-step explanation:
After walking 1/4 mile from home, Han is 1/3 of his way to school. What is the distance between his home and school?
VERY URGENT NEEDED ASAP
Find the value of X
Answer:
16
Step-by-step explanation:
90=41+3x+1
Jack and Jill are walking to school. After 20 minutes, Jack walked 4/5 mile. After 25 minutes, Jill walked 5/6 mile. What is their speed in miles per hour?
Answer: Jill: 2mph and jack: 2 2/5 I had this in my test lol and tell me if it was right for you all
justin did push ups every day this week. he did 8 push ups monday. 14 push ups on tuesday. 18 push ups wednesday. 6 pushups thursday, and 8 push ups friday. find the mean number of pushups.
Answer:
9
Step-by-step explanation:
if you list them from least to greatest, it would go: 6, 8, 8, 9, 12, 14, 18
Eliminate it one by one on each side and the middle number is 9
Answer:
The mean number is 10.8
Step-by-step explanation:
Since the mean number is the average of all numbers divided by how many there are, then 8+14+18+6+8=54. 54 divided by 5 equals 10.8.
HELPPPP ANSWER IN 2mins AND I WILL GIVE YOU BRAINLY MASTER THING Which of the following number sentences is an example of the identity property? Select all that apply.
x 1
8.7 + 0 = 8.7
1.5 x 4 = 6
+ 11
1 + 1
Answer:
a and c
Step-by-step explanation:
Algebra helppppp nowwww plzzzzzz
James’ dealership pays him a commission of $500 profit on each car sold plus a flat salary of $1500 per month. Find the number of cars James sold if his total salary is $12,000 for the month.
Assume that the mean length of a human pregnancy is 269 days. If 95% of all human pregnancies last between 249 and 289 days, what is the standard deviation of the distribution of lengths of human pregnancies? What percent of human pregnancies are expected to last at least 287 days?
Answer:93% not sure
Step-by-step explanation:
plz explain in a paragraph to get brainliest
Answer:
500 people took the survey.
Step-by-step explanation:
12 divided by 3 is 4 and 15 divided by 3 is 5. that means 4 of every 5 people prefer restaurants. Multiply that by 100 and you get 400 of every 500 people prefer restaurants. Hope this helps!
Riley rakes 1/6 of a lawn in 2/3 hour. How many lawns can Riley rake per hour?
Answer:
Riley rakes 1/4 of the lawns per hour.
Step-by-step explanation:
It is given that,
Riley rakes 1/6 of a lawn in 2/3 hour.
We need to find how many lawns can Riley rake per hour.
In 2/3 hour Riley rakes 1/6 of a lawn
In 1 hour Riley rakes [tex]\dfrac{1}{6}\times \dfrac{3}{2}=0.25[/tex] = 1/4 of a lawn.
Hence, Riley rakes 1/4 of the lawns per hour.
5. What is the surface area of the following shape
Answer:
ummm im pretty sure you mean area.... 2d shapes dont have surface area.... but ok... also is the bottom 10? i think so.... then its 90 MARK AS BRANLIEST BCUZ I SAVED YOU
Step-by-step explanation:
1/2x6x(10+20)
1/2x6(30)
3x30
90