x ^ 2–2x + 1
by splitting this equation
x ^ 2 - x -x + 1
there are a two terms x ^ 2 - x and - x + 1
we take x is common from first and -1 is common from second
x ( x - 1 ) and -1 ( x-1 )
the quadratic roots are (x-1) and (x-1)
x - 1 = 0
x = 1 in both
Therefore , the quadratic roots are 1 , 1 .
24. Janet and Jack are walking in a two-day event to raise money for charity.
Janet asks a friend for a $7.50 donation, plus $0.10 for each mile she
walks. Jack asks a friend for a $5.50 donation, plus $0.15 for each mile
he walks. At how many miles of walking would Janet and Jack collect the
same amount of money?
Answer:
40 miles walk
Step-by-step explanation:
Let the miles walked by both of them be x at which money collected by same
for Janet
Fixed donation asked = $7.50
money asked for walking 1 mile = $0.10
money made by Janet if he walks x miles = x*$0.10 = $0.10x
Total money collected by Janet = Fixed donation asked + money made by Janet if he walks x miles
Total money collected by Janet =7.50 + 0.10x
For Jack
Fixed donation asked = $5.50
money asked for walking 1 mile = $0.15
money made by Janet if he walks x miles = x*$0.15 = $0.15x
Total money collected by Jack = Fixed donation asked + money made by Jack if he walks x miles
Total money collected by Jack =5.50 + 0.15x
we have to find miles at which money collected by both of them be same
and we have decided that it it as x mile walk then
Total money collected by Janet = Total money collected by Jack
7.50 + 0.10x = 5.50 + 0.15x
=> 7.50 - 5.50 = 0.15x - 0.10x
=> 2 = 0.05x
=> x = 2/0.05 = 40
Thus, at 40 miles walk money collected by both of them will be same
Triangle ABC is isosceles. What are the steps you would take to construct the perpendicular bisector for segment AB.
Answer:
look at my Step-by-step explanation
Step-by-step explanation:
The perpendicular bisector of a line segment
open the compass more than half of the distance between A and B, and scribe arcs of the same radius centered at A and B.
Call the two points where these two arcs meet C and D. Draw the line between C and D.
CD is the perpendicular bisector of the line segment AB. Call the point where CD intersects AB E.
Proof. top.
What is the maximum number of turns in the graph of this function? f(x) = x5 – x2 – x+1
Answer:
4
Step-by-step explanation:
Approximate which two integers √210 is between.
Answer:
14 and 15
Step-by-step explanation:
14 - 196
15- 225
Simplify 6(3a - 8b + 2)
Help needed immediately. :( this is my my third time posting and no one is helping
Answer:
I know for a fact its the first and third ones but if there are more than those two I don't know
Step-by-step explanation:
Answer:
triangles ABC and DCB are congruent by the side-angle-side triangle congruence theorem is the correct answer
hope it helps you!
What’s the answer hurry
Answer:
y=12x
Step-by-step explanation:
According to the table
48=12(4) which is true
60=12(5) which is true
96=12(8) which is true
Answer:
12, 60/5 is 12, 48/4 is 12, 96/8 is 12
Complete the following problems.
Amy has $50 in her lunch account. Amy spends $3 a day for lunch. Amy's mother receives a notification when Amy's
account balance reaches $5 or lower. How many lunches can Amy purchase until her mother receives a notification? And what is the equation in slope intercept form
Answer:
Amy can purchase up to 14 lunches until her mother receives the notification. When she has the 15th lunch, the notification will be sent.
Step-by-step explanation:
The balance Amy has in her lunch account is a function of the number of lunches she has consumed.
The initial balance is $50 and it decreases by $3 for every lunch Amy has. Thus, the function that models the balance in her lunch account is:
[tex]B(x)=50-3x[/tex]
Where x is the number of lunches.
Her mother receives a notification when the balance goes at $5 or lower, thus the condition that triggers the notification is:
[tex]B(x) \le 5[/tex]
Or, equivalently:
[tex]50-3x\le 5[/tex]
Subtracting 50:
[tex]-3x\le 5-50[/tex]
[tex]-3x\le -45[/tex]
Multiplying by -1 (and flipping the sign):
[tex]3x\ge 45[/tex]
Solving:
[tex]x\ge45/3[/tex]
[tex]x\ge 15[/tex]
Amy can purchase up to 14 lunches until her mother receives the notification. When she has the 15th lunch, the notification will be sent.
Derek has a bird that weighs 4 pounds. Use the double line diagram below to help you determine approximately how many kilograms this bird weighs. (2 points)
2 lines. The first line is labeled Pounds and has 6 marks, equally spaced apart, and every other mark labeled 3, 5, 7, respectively. The second line is labeled Kilograms and has 6 marks, equally spaced apart, and every other mark labeled, 1, 2, 3, respectively.
Group of answer choices
1.5 kilograms
2 kilograms
5 kilograms
7 kilograms
Answer:
2 killograms
Step-by-step explanation:
hope this helps :)
Answer:
2 2 2 it is 2
Step-by-step explanation:
samantha makes her own soap and sells it at a craft markets. she makes 15 bars of soap in 3 hours. If she works for 6 hours every Saturday for 4 Saturdays, how many bars of soap will she have?
Answer:
120
Step-by-step explanation:
She makes 15 in 3 hours
15÷3= 5
5 bars of soap an hour
if she works 6 hours
5x6=30
every Saturday, 4 Saturdays
30x4=120
solve for x
3(x-2)-2x+3=-12
help plz
Answer:
x = -9
Step-by-step explanation:
First, subtract 3 from both sides of the equation and distribute the 3 to the x and -2.
3x - 6 - 2x = -15
Now, add the 6 to both sides of the equation and combine 3x and -2x.
x = -9
The value of x is -9.
Help me please, this is due in like 20 mins
Answer:
[tex]-\frac{8}{27}[/tex]
Step-by-step explanation:
Use 9 for the denominators since 3 goes into 9
[tex]-\frac{3}{9} *\frac{8}{9}[/tex]
You can simplify 3 and 9 across
[tex]-\frac{1}{9} *\frac{8}{3}=-\frac{8}{27}[/tex]
Question 5
At a soccer tournament, 240 water bottles were sold during the first day. During the second day, the number of water bottles sold was 156. What was the percentage of decrease?
Your answer:
Answer:
i think it 180
Step-by-step explanation:
Please help me! Is the ordered pair, in the form (x, y) x , y , a solution of the equation below?
Ordered Pair: (−1, −12)
Linear Equation: 4x − y = 8
options:
True
False
what ordered pair is the solution
John hosts an art workshop on the weekends. He has an average of 14 students in each session and charges a fee of $12 per session. He estimates that for every $2 increase in the fee, the average number of students reduces by 1.
Complete the equation that models this scenario, where c(x) is the revenue generated and x is the number of $2 fee increases.
Answer: c(x)=-2 x2 + 16x + 168
Step-by-step explanation: I hope this helps if im wrong im srry!
Answer:
[tex]c(x) = - 1(x - 7.5)^{2} + 222.25[/tex]
I apologize if this is the wrong format. It's also extremely complicated to explain.
Which of these equations, when solved, gives a different value of x than the other three? 9.1 = -0.2x + 10 10 = 9.1 + 0.2x 10 – 0.2x = 9.1 9.1 – 10 = 0.2x To prepare for his mountain biking trip, Rhyan bought four tire patches. Rhyan paid using a gift card that had $22.20 on it. After the sale, Rhyan's gift card had $1.90 remaining. Which equations could you use to find the price of one tire patch? Select all that apply. 4x – 1.9 = 22.2 4x – 22.2 = 1.9 4x + 1.9 = 22.2 4x + 22.2 = –1.9 22.2 – 4x = 1.9
Given:
Different equations are given.
Rhyan paid using a gift card that had $22.20 on it. After the sale, Rhyan's gift card had $1.90 remaining.
To find:
The equation which gives a different value of x than the other three.
To find the equations that could you use to find the price of one tire patch.
Solution:
In option A,
[tex]9.1 = -0.2x + 10[/tex]
[tex]0.2x= 10-9.1[/tex]
[tex]0.2x= 0.9[/tex]
Divide both sides by 0.2.
[tex]x=\dfrac{0.9}{0.2}[/tex]
[tex]x=4.5[/tex]
Similarly,
In option B,
[tex]10 = 9.1 + 0.2x[/tex]
[tex]0.9= 0.2x[/tex]
[tex]4.5=x[/tex]
In option C,
[tex]10-0.2x = 9.1[/tex]
[tex]-0.2x = -0.9[/tex]
[tex]x = 4.5[/tex]
In option D,
[tex]9.1 – 10 = 0.2x[/tex]
[tex]-0.9 = 0.2x[/tex]
[tex]-4.5 = x[/tex]
Since option D has difference solution, therefore the correct option is D.
Let price of one tire patch be x.
So, price of 4 tire patches = 4x
Remaining amount in Rhyan's gift card = $1.90
Total amount = $22.20
Price of 4 tire patches + Remaining amount in gift card = Total amount
[tex]4x+1.9=22.2[/tex]
It can be written as
[tex]4x-22.2=-1.9,1.9=22.2-4x,22.2-4x=1.9[/tex]
Therefore, the correct options are C and E.
Answer:
c and e the last and second to last one
Step-by-step explanation:
Find 4.8 x 7.2 show your proof
Answer:
34.56
Step-by-step explanation:
it is what it is
220 miles on 8 gallons. How many miles in one gallon?
Answer:
Tune answer is 27. 5
Step-by-step explanation:
220/8=27. 5
BRAINILEST IF ANSWEED QUICKLY AND CORRECT
(05.01)Which statement best describes the area of the triangle shown below?
A coordinate grid is shown with a triangle. The base is 4 units, and the height is 4 units.
It is one-half the area of a rectangle of length 4 units and width 2 units.
It is twice the area of a rectangle of length 4 units and width 2 units.
It is one-half the area of a square of side length 4 units.
It is twice the area of a square of side length 4 units.
The answer is B. It is one-half the area of a square of side length 4 units.
What is f-1(-3)?
N f(x)
-6
-3
-3
-1
0
1
3
3
6
5
I earn 770.98(R) every week. I have 385.49(R) since I spent the other half on toys. I want extra items on a game, but it's 1,541.72(R). How long will I have to wait until I save enough money for it? 385.49 + 770.98 < 1,541.72. (It's in Russian dollar so lemme translate) 385.49 = 5 US dollar) 770.98 = 10 US dollar) 1,541.72 = 20 US dollar)
Answer:
1.5 weeks
Step-by-step explanation:
Given
[tex]Earnings = 770.98[/tex] weekly
[tex]Amount\ Left = 385.49[/tex]
[tex]Game\ Cost = 1541.72[/tex]
Required
Determine the time taken to save up
Represent the time with t
The relationship between the given parameters can be expressed as:
Amount + Earnings in t weeks = Game Cost
This gives:
[tex]385.49 + 770.98t = 1541.72[/tex]
Collect Like Terms
[tex]770.98t = 1541.72 - 385.49[/tex]
[tex]770.98t = 1156.23[/tex]
Solve for t
[tex]t = 1156.23/770.98[/tex]
[tex]t = 1.49968870788[/tex]
[tex]t = 1.5[/tex] Approximated
which posture or theorem proves that these two triangles are congruent
ASA Congruence
AAS Congruence Theorem
HL Congruence Theorem
SAS Congruence postulate
Answer:
AAS Congruence Theorem
Pls help i don't want to fail
Answer:
27/50
Step-by-step explanation:
Just do 9/10/3/5
Answer:If the question is asking for 9/10/3/5 the answer is 3/50; however, if the question is asking for (9/10) / (3/5), the answer should be 3/2.
Step-by-step explanation: The 3/50 answer comes from 9/10 which equals .9, dividing that by 3. That equates to .3, and then dividing by 5 which measures up to .06. From there you can turn .06 into a fraction being 3/50.
You get the 3/2 by dividing (9/10) by (3/5). .9/.6 is 1.5. When converted to a fraction 1.5=3/2. Hope this could help.
x+2y=8
standard to slope intercept form
Answer:
2x + 8 = y
or
2y = x + 8
Step-by-step explanation:
Explain and correct the error made by a student who simplified this expression
–2x + 7x + 8 (–2 + 7 + 8)x 13x
Answer:
−11(−3−3x) ( i think)
Step-by-step explanation:
“without using technology describe the end behavior of f(x) equals negative 3X to the 4th+ 7X squared -12 X +13” PLEASE HELP!!!!
ethan planted a tree that was 1.85 meters tall. several year later the tree is 5.30 meters tall
42dx - 7dx = 70f solve for x
A leak in a pool causes the height of the water to decrease by 0.25 foot over 2 hours. After the leak is fixed, the height of the water is 4.75 feet. The equation 4.75 = x + (negative 0.25) can be used to find x, the original height of the water in a pool.
What was the original height of the water in the pool in feet?
Answer:
Assuming the leak took 2 hours to fix, the original height of the pool is 5 feet.
Step-by-step explanation:
This is probably the most simple "high school" problem I've seen in a while. All you have to do is move the negative 0.25 to the other side to isolate x. That gives you 4.75 + 0.25, or 5 feet.
The original height of the water in the pool was 5 feet.
Given that there is leak in a pool causes the height of the water to decrease by 0.25 foot over 2 hours.
After the leak is fixed, the height of the water is 4.75 feet.
The equation 4.75 = x - 0.25 can be used to find x, the original height of the water in a pool.
we need to find the original height of water,
To find the original height of the water in the pool, we can use the given information and equation.
Let's break down the equation: 4.75 = x - 0.25
Here, x represents the original height of the water in the pool, and -0.25 represents the decrease caused by the leak.
The equation states that after the leak is fixed, the height of the water in the pool is 4.75 feet. This means that the final height (4.75 feet) is equal to the original height (x) minus the decrease caused by the leak (-0.25 feet).
To solve for x, we can isolate it on one side of the equation.
Adding 0.25 to both sides of the equation, we get:
4.75 + 0.25 = x - 0.25 + 0.25
Simplifying the equation, we have:
5 = x
Therefore, the original height of the water in the pool was 5 feet.
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