The equation with only one unique solution is 9 − |2x − 1| = 9, with the solution x = 1/2. D.
To determine which equation has only one unique solution, let's analyze each equation:
|3 − x| = 3
In this equation, the absolute value term represents a distance.
By setting up two cases, where the absolute value is positive and negative, we can find the solutions.
Case 1:
3 - x = 3
Solving for x, we have x = 0.
Case 2:
x - 3 = 3
Solving for x, we have x = 6.
Thus, this equation has two solutions.
|x − 2| − 7 = 7
Similar to equation A, the absolute value term represents a distance.
By adding 7 to both sides, we have |x - 2| = 14.
This equation implies that the distance between x and 2 is 14.
There are two possible values for x: x = 2 + 14 = 16 and x = 2 - 14 = -12.
This equation has two solutions.
-4|x| + 1 = -3
To solve this equation, we isolate the absolute value term:
-4|x| = -4
Dividing both sides by -4:
|x| = 1
The absolute value of any number is always positive or zero.
The equation |x| = 1 has two solutions: x = 1 and x = -1.
9 − |2x − 1| = 9
The absolute value term represents a distance.
Subtracting 9 from both sides, we have |2x - 1| = 0.
The only way the absolute value of a real number can be equal to zero is if the number inside the absolute value is zero.
Thus, we set 2x - 1 = 0 and solve for x:
2x - 1 = 0
2x = 1
x = 1/2
Equation D has only one unique solution: x = 1/2.
For similar questions on unique solution
https://brainly.com/question/14282098
#SPJ8
Pleaseeeee helppp thank you!!
what is this number in standard form:
(3 x 100)+(1 x 1/10)+(4x 1/1,000)
?????????????
pls help
Answer:
300.104
Step-by-step explanation:
3x100=300
1x(1/10)=0.1
4x(1/1,000)=0.004
300+0.1+0.004=300.104
PLEASE ANSWER THIS FAST!!!!!!!!!
If you paint all the walls in a room, how many square feet do you need to cover.
The east wall is 3 yds long
The South wall is 10 ft long but has a window that is a 5x3
The west wall is 3 yds long but has a door, 7x3
The north wall has a closet 6.5 ft wide and a small was that is 0.5 feet wide and extends 2 feet into the room.
PLEASE HELP
Answer:
Step-by-step explanation:
1. 300 square feet
You are selling tickets to your school musical. Student tickets cost $2 and general admission tickets are $3. You sell 17 tickets and collect $42 how many of each type of ticket did you sell?
Answer:
9 student tickets and 8 general admission ticketsStep-by-step explanation:
Let the number of student tickets is s and general admission tickets - g.
Set equations and solve:
s + g = 172s + 3g = 42Double the first equation and subtract from the second to eliminate s:
2s + 3g - 2s - 2g = 42 - 2*17g = 8Find s:
s = 17 - 8 = 9Let the student tickerts and general tickets be x and y respectively
x+y=17=>x=17-y2x+3y=42--(2)From (1) put in (2)
2(17-y)+3y=4234+y=42y=8And
x=17-8=9Determine which is the better buy.
4 gallons of oil for 9.16$ or 11 gallons of oil for 25.30$
HELP ME PLS
Answer:
4 gallons of oil for $9.16
Step-by-step explanation:
[tex] \frac{4}{9.16} = \frac{1}{x} [/tex]
[tex]4x = 9.16[/tex]
x = $2.29
[tex] \frac{11}{25.30} = \frac{1}{x} [/tex]
11x = 25.30
x = $2.30
5 miles in 1 1/2 hours unit rate
Answer: 3.33 miles/hr
Step-by-step explanation:
(5 miles)/(1.5 hr) = 3.33 miles/hr
jeremy swims 5 3··5 kilometers in a 7-day period. He swims the same distance each day. What distance does he swim in a day?
A: 39 1/5 km
C:4/5km
B:1 1/5km
D 4/35km
Eli chose A as the correct answer. How did he get that answer?
Answer:
Jeremy swims 4/5 of a kilometer each day.
Step-by-step explanation:
Since 5 3/5 can be turned into 28/5, then divided by 7/1, you will get 4/5. So Jeremy swims 4/5 of a kilometer each day.
Eli got his answer by multipying 5 3/5 by 7 which was an incorrect process.
Please help I will make you Brainliest (show working)
Answer:
Step-by-step explanation:
6) Area of rectangle = 78.5 sq . cm
length * width = 78.5
15.7 * width = 78.5
Width = 78.5/15.7
= 5 cm
7) circumference of circle = 44 cm
[tex]2\pi r = 44 \\\\2*\dfrac{22}{7}*r=44\\\\r = 44*\dfrac{7}{2*22}\\\\r = 7[/tex]
r = 7 cm
Which segments are parallel?
Select each correct answer.
O EF
O AB
O GH
O CD
Answer:
EF ║ CD and AB ║ CD are the parallel segments.
Step-by-step explanation:
The given question is incomplete without picture; here is the picture attached with the answer.
Since m∠A = m∠D = 42°
Therefore, AB ║ CD and segment AD is the transverse.
Now ∠AEF + ∠IEF = 180° [Supplementary angles]
138° + ∠IEF = 180°
∠IEF = 180 - 138
= 42°
∠IHG + ∠DHG = 180° [ Supplementary angles ]
∠IHG + 122 = 180
∠IHG = 180 - 122
∠IHG = 58°
But ∠IEF ≠ ∠IHG
Therefore, EF and GH are not parallel.
If the segments AB and GH are parallel then ∠IHG = ∠IAB (By the property of alternate angles)
But ∠IHG ≠ ∠IAB
Therefore, AB and GH are not parallel.
Now ∠IEF ≅ ∠IDC ≅ 42° [alternate angles]
which reveals that EF ║ CD
Therefore, EF ║ CD and AB ║ CD
Identify the divisor: 2844/45=63.2
Answer:2844 is divisor of 1
2844 is divisor of 2
2844 is divisor of 3
2844 is divisor of 4
2844 is divisor of 6
2844 is divisor of 9
2844 is divisor of 12
2844 is divisor of 18
2844 is divisor of 36
2844 is divisor of 79
2844 is divisor of 158
2844 is divisor of 237
2844 is divisor of 316
2844 is divisor of 474
2844 is divisor of 711
2844 is divisor of 948
2844 is divisor of 1422
2844 has 17 positive divisors
Step-by-step explanation:
My fingers...
Which number is greater?
2.2 or 15/4 (it is a fraction)
Answer:
15/4
Step-by-step explanation:
15 divided by 4 = 3.75
3.75 is greater than 2.2
Answer:
15/4
Step-by-step explanation:
2.2=22/10=44/20<15/4=75/20
Help me please this is due please help
Answer:
2.8in^2
Step-by-step explanation:
3.2 * 0.875 = 2.8
Hello there!
To find the area of this rectangle, we must multiply the length times the width:
A=[tex]3\frac{1}{5} *\frac{7}{8}[/tex]
Let's convert the mixed number into an improper fraction:
[tex]\frac{16}{5} *\frac{7}{8}[/tex]
Do you see what I see?
16 and 8 can be reduced. Divide by 8:
[tex]\frac{2}{5} *\frac{7}{1}[/tex]
Now multiply:
[tex]\frac{14}{5} \\[/tex]
Hope it helps you!
#HaveAnAmazingDay
~Just a joyful teen
[tex]GraceRosalia :)\\****************************************\\Comment:[/tex]
If my answer was helpful, please mark Brainliest! :)
HELP HELP! Will give brainliest
Answer:
2347897876 my number
Step-by-step explanation:
How many solutions does the following system of equations have?
{4x + 6y = 24
2x + 3y = 12
Answer:
Infinitely many solutions
Step-by-step explanation:
Note that 2(2x+3y=12) is 4x+6y=24, which is the first equation. Therefore, by canceling the equations out, you have 0=0, which means whatever one side equals, the other side ALWAYS equals that.
Which expression is illustrated on the number line 4-2 -2+4 -2+6 4+(6)
The number line shown below is used to illustrate the expression 4 + (-6)
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Number lines are the horizontal straight lines in which the integers are placed in equal intervals. Number lines can be used to show mathematical operations of addition and subtraction
The number line shown below is used to illustrate the expression 4 + (-6)
Find out more on equation at: https://brainly.com/question/2972832
#SPJ1
Simple math.
Question 11.
Answer: By 9.1%
Step-by-step explanation:
Answer:
8.3333....
Step-by-step explanation:
275/300=1/12
1/12=0.083333...
0.083333...=8.3333%
HURRY PLEASE
What is the equation of the line in slope -intercept form ?
Write your answer using intergers , proper fractions , and improper fractions in simplest form .
a researcher studied 30 people ages twenty to forty, 30 people ages forty-one to sixty, and 30 people ages sixty-one to eighty. the researcher set up two rooms—one with a faint rose smell, and one with a faint lemon smell. each participant was asked to enter each room and identify the smell in the room. what research method did the researcher use, and what outcome would be found?
If the researcher set up two rooms—one with a faint rose smell, and one with a faint lemon smell. each participant was asked to enter each room and identify the smell in the room. The research method that the researcher use , and what outcome would be found is: Cross-sectional. The outcome is: As people grow older their sense of smell decrease.
A cross-sectional is a research that is carried out by collecting data from different group of population or by drawing a random sample from a group of population in which the researcher will then study or observe the data collected at a particular period of time.
Based on the given information the researcher is making use of Cross-sectional research method as the researcher what to know how people perceive smell based on their age or how age determine people sense of smell.
The outcome that could be found based on the research is that as people age or grow older their sense of smell decrease or begins to decrease, which simply means that younger people have strongest sense of smell than older people.
Inconclusion If the researcher set up two rooms—one with a faint rose smell, and one with a faint lemon smell. each participant was asked to enter each room and identify the smell in the room. The research method that the researcher use , and what outcome would be found is: Cross-sectional. The outcome is: As people grow older their sense of smell decrease.
Learn more about Cross-sectional here:
https://brainly.com/question/1900606
1) Find the value of x
2) Justify your answer by explaining the series of angle relationships used to prove the value of x.
Answer:
65
Step-by-step explanation:
hello dear!
suppose that y and x are the straight line.
as we know that:
115=y (reason: corresponding sides are equal in parallel lines)
now,
y + x= 180(straight angle)
now we keep the value of y i.e. 115
115+x=180
x=180-115
x=65
as there is parallel lines m and n, the angles between them i.e. corresponding angle are equal to each other .
so therefore, the value of x = 65°
hope it helps!
I need help on the one about slope
5x-13=4x-14
help
please
I really neeed iit
Answer:
5x−13=4x−14
Subtract 4x from both sides.
5x−13−4x=4x−14−4x
x−13=−14
Add 13 to both sides.
x−13+13=−14+13
x=−1
Answer:
x=1
Step-by-step explanation:
This morning, Sarah's team started at zero and earned 5 points for perfect attendance. The team lost 10 points for disruptive behavior at lunch. Write an addition equation to describe how many points Sarah's team earned. Give the
sum.
I don't understand this question can someone help me with this please, please explain!! and thank you for the help!! If u dont know try your best :D
Answer for 33 = 1, 3, 11, 33.
This is because all of those numbers divide into 33 evenly / are factors of 33.
Answer for 93 = 1, 3, 31, 93
This is because all of those numbers divide into 93 evenly / are factors of 93.
Answer:
1) composite: 1, 3 , 11 , 33
2) composite 1, 3, 31, 93
Step-by-step explanation:
1) We know that 33 is divisible by 3 because the whole value is equal to 6, and the last digit is a 3.
2) We know that 93 is divisible by 3 because the last digit was 3, and all of the place values added up to 12, which is also divisible by 3.
-kiniwih426
Suppose you are selling crafts at a craft show. It costs you
$100 to rent a table. Each item costs you $4 to make. You sell
them for $10 each. How many items must you sell to break
even?
The quantity of items you must sell to break even are = 17 items.
To rent a table = $100
The cost of each item = $4
You sold each item at prize = $10
Therefore the gain for each item = 10 - 4
= $6
Therefore, the quantity of items to sell to recover the cost from renting of the table is =
[tex] \frac{100}{6} [/tex]
= 16.6 items
which is approximately = 17 items.
Learn more here:
https://brainly.com/question/21770087
<1 and <2 are complementary angles. m<1=2x+34, and m<2=2x+8. find the measure of each angle
Step-by-step explanation:
2x+34=2x+8=90°
4x+42=90°
-42. -42
4x=. 48
÷4. ÷ 4
x= 12 ( divide both sides by 4)
( you need to substitute x)
2(12)+34
measure of angle 1 is equal to 58
2(12)+8
measure of angle 2 is equal to 32
Find the slope of the line
(15,18) (6,12)
Answer:
slope = [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (15, 18 ) and (x₂, y₂ ) = (6, 12 )
m = [tex]\frac{12-18}{6-15}[/tex] = [tex]\frac{-6}{-9}[/tex] = [tex]\frac{2}{3}[/tex]
Remember, when finding the slope, use this formula: [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1} }[/tex]
We can start by labeling (15, 18) as [tex]x_{1}[/tex] and [tex]y_{1}[/tex] and (6, 12) as [tex]x_{2}[/tex] and [tex]y_{2}[/tex]. Now, we can plug these number into the formula: [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1} }=\frac{12-18}{6-15}=\frac{-6}{-9} =\frac{2}{3}[/tex]
Thus, the slope of the line is [tex]\frac{2}{3}[/tex]. Hope this helps! Let me know if you have any questions related to this problem.
Nick is making a fruit salad. He buys apples for $1,29 per pound and oranges for $1.35 per pound. He spends no more than $12.
Let x represent the number of pounds of apples that Nick buys. Let y represent the number of pounds of oranges that Nick buys.
Which inequality represents this situation?
a.) 1.29x + 1.35y > 12 b.) 1.29x + 1.35y≥ 12 c.) 1.29x + 1.35 < 12 d.) 1.29x + 1.35y ≤ 12
Answer:
D 1.29x+1.35y≤12
Step-by-step explanation:
Nick is making a fruit salad. He buys apples for $1.29 per pound and oranges for $1.35 per pound. He spends no more than $12.
Let x represent the number of pounds of apples that Nick buys. Let y represent the number of pounds of oranges that Nick buys.
1.29x+1.35y≥121.29x+1.35y≥12
1.29x+1.35y>121.29x+1.35y>12
1.29x+1.35y<121.29x+1.35y<12
1.29x+1.35y≤12
-3x-2=
-3x-2=
-3x1.5=
-3x3=
Answer:
a,6. b, 6 c, -4.5. d, -9
Step-by-step explanation:
a, -3*-2
3*2. b/c of -ve * -ve is positive the answer comes 6
b, same as a
c, -3*1.5
- 4.5
d, -3*3
- 9
Please help I will make you Brainliest (show working)
Answer:
Step-by-step explanation:
Garden is in the shape of triangle.
[tex]Area of garden = \dfrac{1}{2}bh = \dfrac{1}{2}*10*6 = 5 *3 = 15 \ m^{2}[/tex]
Drive way:
length = 4 + 10 = 14m
Width = 3 m
Area = length * width = 14 * 3 = 42 sq.m
Perimeter of the property:
Length = 14 m
Width = 3 + 9 + 6 = 18 m
Perimeter = 2*(length + width) = 2*(14 + 18) = 2 * 32 = 64 m
Which number equals (34)−2?
Answer:
32
Step-by-step explanation: