Answer:
[tex] \huge \boxed {y = |x| + 3}[/tex]
Step-by-step explanation:
Similar to Parabola, except this is Modulus Function.
[tex] \boxed {y = a |x - h| + k} \\ a \: = slope \\ h = move \: \: to \: \: x - axis \\ k = move \: \: to \: \: y - axis[/tex]
From the graph. The graph doesn't have any movement/transformation to x-axis, only y-axis. The graph only shifts up 3 units from y = |x|.
Both slopes are also 1 (from rise/run)
Hence, the answer is
[tex]y = |x| + 3[/tex]
Which algebraic expression represents this mathematical statement? 32 more than a number
A. m
B. s
C. d
D. x
The perimeter of a college basket ball court is 96 m and the length is 14m
more than the width. What are the dimensions?
width=17m
length= 31m
Step-by-step explanation:
width = x
length= x+14
perimeter = 96m
2(x+x+14)=96
4x+28=96
4x=68
x=17
width=17m
length= 31m
Simon bought furniture for his apartment for a total of $2,900. The store financed his purchase for 18 months at 0% interest, and there is no minimum monthly payment amount. Simon decides to pay nothing the first month, and then $180 per month after the first month towards the total until it's paid off.
Complete question :
Simon bought furniture for his apartment for a total of $2,900. The store financed his purchase for 18 months at 0% interest, and there is no minimum monthly payment amount. Simon decides to pay nothing the first month, and then $180 per month after the first month towards the total until it's paid off.
Set up an equation such that Tn represents the total amount Simon still owes after n months.
Calculate the amount Simon still owes at the end of one year after his purchase.
Answer:
Tn = 2900 - 180(n - 1)
Tn = $920
Step-by-step explanation:
Cost of furniture = $2900
Assume no interest
Amount paid in first month = 0
Constant amount to be paid after first month = $180
T amount owed after n, months :
Tn = Cost of furniture - amount to be paid per month * (Number of months - 1)
Hence,
Tn = 2900 - 180(n - 1)
Amount owed at the end of one year after purchase :
Tn = 2900 - 180(12 - 1)
Tn = 2900 - 180(11)
Tn = 2900 - 1980
Tn = $920
The Simon decides to pay nothing the first month, and then $180 per month after the first month towards the total until it's paid off is :
Tn = 2900 - 180(n - 1)
Tn = $920
"To understand the calculation, check below."
InterestWhat all information we have ?
Cost of furniture = $2900
Assume no interest
Amount paid in first month = 0
Constant amount to be paid after first month = $180
T amount owed after n, months :
Tn = Cost of furniture - amount to be paid per month * (Number of months - 1)
Tn = 2900 - 180(n - 1)
Tn = 2900 - 180(12 - 1)
Tn = 2900 - 180(11)
Tn = 2900 - 1980
Tn = $920
The Simon decides to pay nothing the first month, and then $180 per month after the first month towards the total until it's paid off is Tn = $920.
Learn more about "Interest":
https://brainly.com/question/26457073?referrer=searchResults
3. Frank is considering two cell phone plans. The first company charges $120 for the
phone and $30 per month for the calling plan that Juan wants. The second company
charges $40 for the same phone but charges $45 per month for the calling plan that
Juan wants. After how many months would the total cost of the two plans be the same?
Representations:
Equations:
Answer:
5.333 months
Step-by-step explanation:
Company A: 120+30x
Company B: 40+ 45x
120+30x=40+45x
80=15x
80/15=x
5.33333=x
Shelby sold 75 raffle tickets for the school fundraiser over a 3-year period. If Kelly sold 15 less tickets than Shelby over the last 3 years, how many did Kelly sell each year on average?
Answer: 20 tickets
Step-by-step explanation:
From the question, we are informed that Shelby sold 75 raffle tickets for the school fundraiser over a 3-year period while Kelly sold 15 less tickets than Shelby. This means that the number of tickets sold by Kelly is:
= 75 - 15
= 60 tickets
The number of tickets sold by Kelly each year on average will be:
= Number of tickets sold / Number of years.
= 60/3.
= 20 tickets
over the last 3 years
Reduce to simplest form.
-7/12 +3/8
Answer:
-5/24
Step-by-step explanation:
here u gooo :).....
I don’t understand, can someone please help.
Answer: 40
Step-by-step explanation:
Answer:
x=20
Step-by-step explanation:
All triangles has the sum of the internal angle equal to 180
2x+10+3x+x+50=180
Combine like terms
6x+60=180
Subtract 60 on both sides
6x=120
Divide 6 on both sides
x=20
Hope it helped :))
Explain why the measure of angle 2 is greater than the measure of angle 3
Answer: number 2 is a obtuse angle and number 3 is a right angle
Can u pls help me with this question
What’s the measure of the other angle?
For each 11 mm of coloured fabric June uses to make her curtains, she also uses 1 cm of white fabric. Express the amount of white fabric to coloured fabric as a ratio in its simplest form
Answer: The amount of white fabric to coloured fabric as a ratio in its simplest form is [tex]\frac{10}{11}[/tex]
Step-by-step explanation:
Given :
Amount of coloured fabric used by June = 11 mm = 1.1 cm (1 mm=0.1 cm)
Amount of white fabric used by June = 1 cm
To find : amount of white fabric to coloured fabric as a ratio in its simplest form
To find the ratio in simplest form , the units of both measurements should be same
Thus [tex]\frac{\text {amount of white fabric}}{\text {amount of coloured fabric}}=\frac{1cm}{1.1cm}=\frac{10}{11}[/tex]
The amount of white fabric to coloured fabric as a ratio in its simplest form is [tex]\frac{10}{11}[/tex]
Suppose that you bought a new car at a price of $27,600.
According to research on this make and model, similar cars
have straight line depreciated to o value after 12 years. How
much will your car be worth after 9 years?
c. What is the equation of the line?
A. y = 2300x + 27600
B.y=-2300x + 27600
C.y= -2300(9) + 27600
D.26700-12 = y
Answer:
b
Step-by-step explanation:
because its minus
i think
Plz sum 1 help quickkkkk
Answer:
D
Step-by-step explanation:
VW = FG
hope this helps...
The aquarium where Evan works has a special tank for the baby sharks. The tank is shaped like a rectangular prism and is 18 meters long by 15 meters wide. It is 8 meters from the bottom of the tank to the top. What is the volume of the shark tank?
Answer:
The volume of the shark tank is [tex]2160 m^3[/tex]
Step-by-step explanation:
The tank is in the shape of a rectangular prism.
The length of the tank, [tex]l=18[/tex] m.
The width of the tank, [tex]w=15[/tex] m.
The height of the tank, [tex]h=8[/tex] m.
We know that, volume of a rectangular prism [tex]=l\times w \times h[/tex].
So, the volume of the tank [tex]=18\times 15\times 8=2160 m^3[/tex]
Hence, the volume of the shark tank is [tex]2160 m^3[/tex].
Consider the line shown on the coordinate plane
What is the equation of the line in the form y = mx + b?
10
Drag numbers to the boxes to complete the equation in the form
y = m + b
8
7
6
y
2
3
PH
-4
.: 2
:: 2
::
:: +2
-10-9-8-7-5-4-3 -2 -1 0
.: +4
-5
-
1
2
3
.
5
8
7
Finish Later
Submit
✓
150 PM
Type here to search
1/15/2021
Answer:
y=1/2x+2
Step-by-step explanation:
hope it helps ^^
factorize: a^4+2xa³+a²x²-y^4
Answer:
(a^2+ax-y) (a^2+ax+y^2)
Step-by-step explanation:
a^4+2xa³+a²x²-y^4
(a^2+ax)^2-y^4
(a^2+ax-y) (a^2+ax+y^2)
9514 1404 393
Answer:
(a^2 +ax -y^2)·(a^2 +ax +y^2)
Step-by-step explanation:
This can be factored as the difference of squares.
a^4 +2a^3x +a^2x^2 - y^4 = a^2(a+x)^2 - y^4
= (a(a+x) -y^2)(a(a+x) +y^2)
= (a^2 +ax -y^2)·(a^2 +ax +y^2)
Plzz help me ill give u brainlist
Answer:
A
Step-by-step explanation:
You can make an infinite number of triangles with those three angle measures, because the side lengths can be different.
A teenager has $20 to spend at the fair. The teenager rides 5 roller coasters and has $13.75 left. Each roller coaster costs the same amount.
How much does each roller coaster cost to ride, in dollars and cents?
Answer:
Each ride costs $1.25
Step-by-step explanation:
$20 - $13.75 = $6.25
$6.25 / 5 = $1.25
Answer:
1.25 per ride
Step-by-step explanation:
Subtract 13.75 from 20. You get 6.25. Divide 6.25 by 5.
PLEASE HELP ASAP IT'S DUE TODAY Use the graph of the function below to answer the questions that follow.
Answer:
So for..
a. from: 2 to: 4
b. from: 0 to: 2 ( I believe this one, may be incorrect- sorry if so)
c. from: 6 to: 10 ( I believe also for this one, sorry if incorrect)
d. from: 5 to: 6 ( I beleive- that is what it looks like- sorry if incorrect)
e. They are staying at a constant rate, not changing, at rest...
Hope this helps!
A passenger jet can travel 600 miles per hour. How long
would it take a jet traveling at that speed to cross 3000 miles of ocean?
Write an equation and solve the problem.
Answer:
the answer would be 5 hours
Step-by-step explanation:
we know he has 3000 miles to travel so if he travels 600 mph than you would have to divide.
3000/600 = 5
another way you could solve it is to take two zeros from each point so that you have 30 and 6, then you divide then.
30/6 = 5
and ta da the question is sloved!!!
Please Help! Freshman in high-school Algerbra 1
Answer:
yes
Step-by-step explanation:
0-10 is obvious because when you look at the chart you can clearly see that theres alot kidsof
express the following ratio in their simplest form 45cent: $2.25
Answer:
$1.80
Step-by-step explanation:
i had this question
solve the inequality j + 6 < 9
Emily wants to buy a new Gucci purse. She goes into the store and sees that they are running a January Blowout Sale and all purses are 60% off! She finds one that she likes and the tag reads $475.00. How much is Emily going to spend?
Answer:
Emily is going to spend $285
Step-by-step explanation:
You need to multiply 475.00 by 0.60 to get 285 spent on Emily's new purse.
A company rents out 10 food booths and 25 game booths at the county fair. The fee for a food booth is
$100 plus $6 per day. The fee for a game both is $50 plus $7 per day. The fair lasts for n days, and all the
booths are rented for the entire time. Enter and simplify an expression for the amount in dollars that the
company is paid.
Answer:
49?
Step-by-step explanation:
(x^3+3x^2-x+2)/(x-1)
Answer:
x^2 + 4x + 3 with a remainder of 5
Which set of expressions below does NOT represent equivalent expressions?
A. 8(3x + 7) and 8(3x) + 8(7)
B. 3(8x + 7) and 11x + 10
C. 7(3x + 8) and 7 ∙ 3x + 7∙ 8
D. 3(7x + 8) and 21x + 24
Answer:
B
Step-by-step explanation:
The other are equal
Directed line segment overline FG has endpoints F(4, 9) and G(- 8, - 9) .On the coordinate plane below , plot a point that partitions the directed line segment in a ratio of Point 1/2 Undo Reda x Reset 10 8 7 65 443 2
Answer:
The coordinates of the point that makes the division in the given ratio is (0,3)
Step-by-step explanation:
Here, we want to find the point on the line segment that divides the line segment in the ratio 1:2
We simply use the internal division formula
That would be;
(x,y) = (nx1 + mx2)/(m + n) , (ny1 + my2)/(m + n)
m = 1 and n = 2
(x1,y1) = (4,9)
(x2,y2) = (-8,-9)
Substituting these values into the formula, we have;
2(4) + 1(-8)/(1 + 2) , 2(9) + 1(-9)/(2 + 1)
= (8-8)/3 , (18-9)/3
= (0,3)
Please help will give brainlist to first answer due at 10 15 An artist mixes yellow paint with blue paint to make a certain shade of green. The ratio of yellow to blue is 3 to 5. How much yellow paint should the artist mix with 20 ounces of blue paint. Write a proportion and solve.
Answer:
12 onces of yellow paint should be use
Step-by-step explanation:
3:5
= 3 x 4 =12 and = 5 x 2 = 20
Answer:
12:20
Step-by-step explanation:
12:20, to have 3:5 get to ?:20 you need to see how many times 5 can go into 20 (4) then you multiply 3x4 to get 12. so 12:20
If Cathy receives all the discounts (30%, 20%, 10%, 15%, and an additional 20% Holiday Bonus Bucks discount, how much will she pay for the $90 sweater?
Answer:
She will pay $30.8448.
Step-by-step explanation:
Consider the provided information.
The price of the sweater is $90.
She gets a discount of 30% it means she needs to pay only (100-30)%=70% of $90.
70% of $90 = [tex]0.7\times 90 = 63[/tex]
Now she gets a discount of 20% it means she needs to only 80% of $63.
[tex]0.8\times 63=50.4[/tex]
If she gets a discount of 10% on $50.4 it means she needs to pay 90% of 50.4
[tex]0.9\times 50.4=45.36[/tex]
If she gets a discount of 15% on 45.36 it means she needs to pay only 85% of 45.36
[tex]0.85\times 45.36 =38.556[/tex]
Now she gets an additional 20% holiday Bones Buck discount it means she needs to pay 80% of 38.556
[tex]0.8\times 38.556=30.8448[/tex]
Hence, she will pay $30.8448.