Given:
[tex]y=x^2+6x-1[/tex]
[tex]\dfrac{x}{r}=-3[/tex]
To find:
The given equation in terms of r if [tex]\dfrac{x}{r}=-3[/tex].
Solution:
Given that,
[tex]\dfrac{x}{r}=-3[/tex]
[tex]x=-3r[/tex]
We have,
[tex]y=x^2+6x-1[/tex]
Substitute x=-3r in the above equation.
[tex]y=(-3r)^2+6(-3r)-1[/tex]
[tex]y=9r^2-18r-1[/tex]
Therefore, the required equation in terms of r is [tex]y=9r^2-18r-1[/tex].
Harper and her children went into a bakery and will buy cupcakes and brownies.
Each cupcake costs $4.25 and each brownie costs $2.75. Harper has a total of $40 to
spend on cupcakes and brownies. Write an inequality that would represent the
possible values for the number of cupcakes purchased, c, and the number of brownies
purchased, b.
Answer:
4.25c+2.75b_<40
Step-by-step explanation:
Three sisters earned $6.39 at their lemonade stand. They want to share their earnings equally. What amount will each sister receive? Write an equation that shows the solution.
Answer:
$6.39/3=x
x=2.13
Each sister will earn 2 dollars and 13 cents.
Step-by-step explanation:
If 3x+4=-5, what does x equal to?
First subtract 4 from both sides to isolate the 3x.
That leaves us with 3x = -9.
Since x is being multiplied by 3, to get x by itself,
we need to divide both sides of the equation by 3.
So our final answer is x = -3.
Answer:
x = -3
Step-by-step explanation:
3x + 4= -5
Subtract 4 from both sides.
3x = -9
Divide both sides by 3.
x = -3
1) A recipe for cookies calls for 4 cups of flour and 2 cups of sugar. What is
the amount of flour and sugar needed for 1,2,3,4 and 5 batches of cookies
Answer:
4:2 8:4 12:6 16:8 20:10
Step-by-step explanation:
4:2 is the amount needed for each batch so you can multiply that amount by the number of batches.
Devon has 4 1/2bags of soil to put in his flower beds. Each bag of soil will cover 115.4 ft2. How many square feet will Devon be able to cover if he uses all these bags of soil?
Solve each system by using substitution
X= Y - 2 4X + Y = 2
Answer:
10
Step-by-step explanation:
Answer:
(0, 2 )
Step-by-step explanation:
Given the 2 equations
x = y - 2 → (1)
4x + y = 2 → (2)
Substitute x = y - 2 into (2)
4(y - 2) + y = 2
4y - 8 + y = 2
5y - 8 = 2 ( add 8 to both sides )
5y = 10 ( divide both sides by 5 )
y = 2
Substitute y = 2 into (1) for corresponding value of x
x = 2 - 2 = 0
Solution is (0, 2 )
Given two points on a line, explain how you can use point-slope
form to write an equation of the line.
To find the point slope of a line you must first know the slope of the two points. You would substitute the points into the slope formula y2-y1/x2-x1.
Then you would put the slope into the point slope formula:
y-y1=m(x-x1)
"m" is the slope of the formula.
Hope this helped.
Nicole won 85 super bouncy balls playing
the bean bag toss at her school's game
night. Later, she gave four to each of her
friends. She only has 5 remaining. How
many friends does she have?
Answer:
20 friends
Step-by-step explanation:
85 balls - 5 remaining = 80
80 ÷ 4 balls each = 20 friends
Evaluate the expression 4x-17 starting at 5 , ending at 20 , and stepping by 5
Use spreadsheet to Evaluate the expression ??
Answer:
Step-by-step explanation:
A woman buy a pair of shoes at a sale. She pays $60,saving $15 on the regular price. The percentage discount on the shoes is
Answer:
25 percent.
Step-by-step explanation:
15 is 1/4 of 60 and if she gets 1/4 off then that's equal to 25 percent
Sam ordered some books online for $5 each. He paid a total of $4 for shipping. The total cost of the purchase was $89. How many books did he buy?
Part a is the equation and part b is the total
Answer:
17
Step-by-step explanation:
if you subtract 4 from 89, which is the shipping cost. 89 - 4 = 85. Then divided 85 by 5 because that will show how much he paid for them in total, by how much a singular book is. Telling you how many books he bought. 85/5 = 17.
Answer:
A.) 5b+4=89
B.) 17 books
Step-by-step explanation:
To find A.), we must create a linear equation. Let b be the number of books Sam ordered. We write 5b because each book is 5 dollars. Then we add 4 dollars to the equation to represent the shipping fee. Then we write "equals to 89", because it says that is the total cost. So we get the equation 5b+$4=$89
To find B.), we must solve the equation. Isolate the variable, by subtracting 4 from both sides. We then get 5b=$85. Now we divide by 5 to get only the variable and to get rid of the coefficient. We get b=17. So Sam bought 17 books.
guys i need huge help. this isn’t a “brainly” question but i do my work online, and i have over 150 OVERDUE assignments. i’ve been doing them but it’s so so so hard to catch up and REPORT CARDS come out on tuesday. if i don’t have my work completed by then i’ll have all “f’s” HELP ME how can i catch up? any advice? :(
Answer:
Step-by-step explanation:
oh my 150 overdue
you should start with one subject and finish them up. then move on to the next subject. dont switch subjects and focus. youll get them all sooner if you pay attention. dont cheat!
Answer:
ok, so i feel you. i don't have 150 overdue but i do have 13 lol. so today is wednesday, so you have 6 days. 150÷6=25. so try to do 25 assignments a day. i know it feels sooooo stressful, but i mean you have to make up for all those days you didn't do work. make a list of everything you have to do (on paper or in google docs/notes/word). don't do work in your bed; it makes you feel lazy. do it at a table or desk. clean your work area! have a piece of paper and a pencil so you can work out problems. fill up a glass of water right next to you. play some chill music; NOT your favorite songs! they will distract you! ask your alexa/google home/apple homepod to play some study music, or play it from your phone or whatever. just some background music to help you focus. if you play music from your phone, make sure to keep it on silent and do not disturb so you don't get distracted by notifications. work alone, not in a room with other people. just power through your work. take it one at a time; don't overwork yourself. take breaks if you need to, but don't get too distracted. after you complete your 150 assignments, try to work ahead so this never happens again.
Step-by-step explanation:
if you need more help, of course use brainly or quizlet or essay typer. but try not to cheat most of the time; it'll make you feel more proud if you don't. i really hope this helps you. i know you can do it. i wish you the best of luck! <3
The library is 0.96 mile away from Theo’s home. Write this distance as a fraction in simplest form
Answer:
the answer is 24/25
hope it helps have a nice day! :)
Tickets to a 3D movie cost $12.50 for adults and $8.50 for children. The theater can seat up to 180 people. A total of $1826 was collected in ticket sales for the sold out 7:15 PM show. Determine the number of adult tickets and the number of children’s tickets that were sold.
Answer:
74 adult tickets and 106 children tickets
Step-by-step explanation:
let x be the number of adults tickets sold out
and y the number of chlidrens tickets that sold out for the 7:15 pm show
The equations that determine our problem are
x+y=180
12.50x+8.50y=1826
lets separate x from first equation x=180-y and replace at the second equation
12.50(180-y)+8.50y=1826
12.50*180-12.50y+8.50y=1826
2250-4y=1826
4y=2250-1826
y=424/4=106
so x=180-y=180-106=74
Consider the problem of utility over territory. Let’s start simply
with a one-dimensional representation. Consider two actors, 1
and 2, with utility functions defined over a single-dimensional
issue space X = [0, 1], but where the actors can own sections or
“provinces” of the interval. The boundaries between sections are
defined by a vector B = (b1, b2, b3, . . . , bn, 1).
Thus, there are n+ 1 provinces. Define a “size” vector containing the lengths of
each province, S = (b1, b2 − b1, b3 − b2, . . . , 1 − bn). Define for
each actor an “ownership” vector Oi with 1s in the place of the
provinces that it owns and 0s elsewhere.
1. Assume that each actor’s utility function is a simple sum of
how much of the space they own so ui=∑n+1,j=1, oj,sj
(a) Can the players both be made better off by exchanging
existing provinces?
(b) Can the players both be made better off by altering the
boundaries of the existing provinces while preserving the
ownership structure?
(c) Can the players both be made better off by reducing the
number of provinces – for instance, by consolidating
contiguous provinces that are owned by the same actor?
2. Now assume that the utility function is a function of the sum
of the squares of the provinces owned, indicating that there are
increasing returns to the size of a province ui=∑n+1,j=1, (oj,sj)^2
(a) Can the players both be made better off by exchanging
existing provinces (without doing anything else)?
(b) Can the players both be made better off by reducing the
number of provinces – for instance, by consolidating
contiguous provinces that are owned by the same actor?
(c) If the actors are free to adjust both the number of
provinces and the ownership structure, what set of
boundaries is Pareto optimal with this utility function?
2.2 (see formula in the attachments) Consider two states, state 1 and state 2, which can unilaterally
set their tariff rates on imported goods, ti ≥ 0. Each state has an
ideal level for its own tariff, and prefers that the other
side’s tariff be 0, Assume that each side’s utility declines
with the distance between the tariff levels and their ideal point,
as follows
1. Draw the t1, t2 quadrant and draw in the ideal points for each
player.
2. Draw in sample indifference curves for the two states around
their ideal points. What shape are they?
3. Draw in the contract curve between the two ideal points. What
shape is it and why? What equation describes it?
4. The contract curve divides the t1, t2 quadrant into two regions.
How do they differ in terms of how the players could realize
joint gains in each region?
2.3 Consider the utility function u(x) = xρ, where ρ > 0 and x ∈ [0,
1]. Under what conditions would a player with such preferences
be risk acceptant, risk neutral, and risk averse?
PLZZZZ YALLLL I NEEDDD HELPPPPP
I'm pretty sure its 17. If 11+7=18
If f(x)=x+12 and g(x)=x−5, find f(x)⋅g(x).
A) x^2+17x−60
B) x^2−7x+60
C) x^2+7x−60
D) x^2+7x−7
Answer:
C
Step-by-step explanation:
f(x).g(x) is
(x+12).(x-5)=x^2-5x+12x-60(add like terms)
=x^2+7x-60, the answer is C
2 Review Homework 2.2.4 Question Help A town has accumulated 5 inches of snow, and the snow depth is increasing by 5 inches every hour. A nearby town has accumulated 7 inches, and the depth is increasing by 2 inches every hour. In about how many hours will the snowfall of the towns be equal?
Answer:
You need to find the equations for each scenario and set them = to each other
Step-by-step explanation:
A) S = 5t + 5
B) S = 7t + 2
Now set them = and solve for t
5t + 5 = 7t + 2
3 = 2t
t = 3/2 of an hr
To check plug in 3/2 into both equations and you should get same answer.
Hope this helps and never stop striving to learn more!
Jim's car repair charges $50 plus $16 for every pint of oil. Sam's car repair charges $80 plus $14 for every pint of oil. At how many pints of oil would the cost be the same?
Answer:
5 pints of oil for 8 dollars
Step-by-step explanation:
1.65 dollars for 1 pint
3.4/2=1.7 dollars for 1 pint
8/5=1.6 dollars for 1 pint
17.6/10=1.76 dollars for 1 pint
33/20=1.65 dollars for 1 pint
A class walked 2.5 miles for a walk-a-thon.
How many yards did the class walk?
Answer:
4400 Yards
Step-by-step explanation:
A mile equals 1,760 yards. 2.5 times 1,760 gives you 4,400
It is given that A class walked 2.5 miles for a walk-a-thon then the class walked 4400 yards.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
It is given that A class walked 2.5 miles for a walk-a-thon.
WE are asked How many yards did the class walk.
A mile equals 1,760 yards.
If one mile is 1760 yards, then the answer should be
= 1760 times the number of miles.
So 1760*2.5 = 4400
Hence, the class walked 4400 yards.
Learn more about the unitary method;
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Can I have help with an algebraic equation?
Answer:
What is the equation?
Step-by-step explanation:
Answer:
Step-by-step explanation: what is the probelm i can help.
For the following equation, find a solution for the variable. Show all of your work and use complete sentences to explain the solving process that you used to find a solution for the equation. Be sure to include at least two terms from the word bank.
6 = 3 x - 9
Answer:
x=5
Step-by-step explanation:
solution;
6=3x-9(carry alike terms to the same side that'd be +6-9)
+9+6=3x
15=3x(divide both sides by 3)
5=x
(thanks,sorry and welcome)
The solution to the given equation 6 = 3x - 9 would be variable x = 5.
What is the equation?The equation is defined as a mathematical statement that has a minimum of two terms containing variables or numbers that are equal.
To determine a solution for the variable in equation 6 = 3x - 9, we can begin by isolating the variable on one side of the equation. To do this, we can add 9 to both sides, giving us:
6 + 9 = 3x
This simplifies to:
15 = 3x
The next step is to divide both sides of the equation by 3, which will give us the value of x.
15/3 = 3x/3
Simplifying we get
5 = x
Thus, the solution for the variable is x = 5.
Learn more about the equations here:
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Which of the following equations represents the graph shown
F(x)=x + 1
F(x)=2/3x
F(x)=3/2x
f(x) = 3/2x
we know this cause if u use the rise/run rule which is used to find slope, it goes up 3 and over 2 so it's positive 3/2 and the y intercept is 0 so u don't have to say +0
Answer:
the correct answer is C. f(x)=3/2x
Step-by-step explanation:
0dysseyware
Sharon wants to make cookies for her class bake sale. She found a recipe that calls for 2/3 cups of flour for each batch of cookies. How many batches can she make using 12 cups of flour?
Answer:
18
Step-by-step explanation:
Multiply 12 and 2 by 3 to get the "easier to work with" fraction
[tex]\frac{12}{1}[/tex] = [tex]\frac{36}{3}[/tex]
Now, multiply two until you get 36
2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36
It takes 18 times to get to 36.
That means the answer is 18.
please help me solve this
will award brainliest!!!
Consider the equation below.
The equation was solved using the following steps.
Answer:
Step-by-step explanation:
Step 1: -3 to 4x and -7 (Multiply)
Step 2: 2x (Add)
Step 3: 21 (Subtract)
Step 4: -10 (Divide by)
I hope this helps!
What does the word “keep” mean in “keep change flip” a) keep everything the same b) keep the first fraction the same c) keep the second fraction the same d) keep the sing the same.
Answer:
That's the rule used to divide fractions.
So keep the first fraction, change the sign from divide to multiply, then flip the second fraction.
Example:
1/2 ÷ 3/5 --> 1/2 x 5/3
Hugo says that some whole numbers have no common factors. Jasmine says any two whole numbers will always have at least one common factor. Who is correct? Explain.
Answer:
Jasmine is correct
Step-by-step explanation:
The reason why Jasmine is correct is because, for all whole numbers, there must be a common factor of 1.
So since 1 is a factor of all whole numbers, it means that all numbers have a factor in common which is 1
We can thus conclude that all whole numbers( integers) must have at least one common factor which is 1
Solve
12x + 5 = 4x + 37
Answer: 4 is the correct answer
Step-by-step explanation:
12x+5=4x+37
12x-4x=37-5
8x=32
x=32/8
x=4
Answer:
x = 4
Step-by-step explanation:
First you look at the two values of the equation, so the difference between the difference of the two variables is 32, ( 37 - 5 ) then we know that ( 12x - 4x ) 8x . So we know that 8x equals to 32, so ( 32/8 ) equals to x = 4.
I do not know which formula is being used for this question, please answer step by step thanks!
The Hudson Record Store is having a going-out-of-business sale.CDs normally sell for $18.00.During the first week of the sale, all CDs will sell for $15.00.Written as a fraction, what is the rate of discount?What is the rate expressed as a percent?Round your answer to the nearest hundredth of a percent.During the second week of the sale, the same CDs will be on sale for 25% off the original price.What is the price of a CD during the second week of the sale?
Original Price = $18
Discounted Price = $15
Discount is $3 as 18-15 is 3.
As a fraction, the discount rate is $3/$18 also equal to $1/$6
What is the rate expressed as a percent? Round your answer to the nearest hundredth of a percent.1/6 is approximately 0.167
0.167 = 16.67%
As a percent, the discount rate is 16.67%
During the second week of the sale, the same CDs will be on sale for 25% off the original price. What is the price of a CD during the second week of the sale?Using the formula, Amount of Discount = Discount Rate · Original Price we can find the amount of discount for the 2nd week.
Let x be the amount of discount.
x = 25% · $18
x = $4.50
The amount of discount is $4.50
Calculate the cost of the CDs during the second week: $18 - $4.50 = $13.50
The price of a CD during the second week of the sale is $13.50