Answer:
Write the absolute value equations in the form
x−b
=c (where b is a number and c can be either number or an expression) that have the following solution sets.
Chapter Reference
a
Two solutions: x=2, x=14.
Step-by-step explanation:
The absolute value equations in the form |x-b|=c is 6.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
We are given that;
Two solutions are x=2 and x=14
Now,
To write an absolute value equation that has these solutions, we need to find a common value of b and c that satisfy the property above. One possible way to do this is to find the midpoint and the distance between the two solutions. The midpoint is the average of the two solutions, and the distance is half of their difference. The midpoint will be the value of b, and the distance will be the value of c.
Using this method, we get:
b = (2 + 14) / 2 = 8
c = (14 - 2) / 2 = 6
Therefore, by the given equation the answer will be 6
Learn more about equations here;
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i need helppppp can u explain this
Answer:
1. 2^5
2. 5^2
3. 3^4
4. 4^3
5. 6^3
6. 3^6
Please give brainliest!!
Answer:
1. 2^5
2. 5^2
3. 3^4
4. 4^3
5. 6^3
6. 3^6
Step-by-step explanation:
Find the area of the blue shaded region in the figure.
A) 80 cm2
B) 112 cm2
C) 120 cm2
D) 160 cm2
Ayuda Por Favor
Help Please
Answer:
160cm^2
The area of the rectangle minus the area of the right angled triangle (20×10-8×10÷2)
Hi everone can you help i will be sending more qusetions each one is 10 points thank you
Answer:
144 cubic inches
Step-by-step explanation:
volume = l x w x h. This = 8 x 6 x 3.
Hope this helps :)
Ages
The ages of 10 different students in a college math class were used to make the box plot shown above. Which of the sets of ages below matches the given box plot?
A.
Ages: 18, 19, 19, 20, 20, 20, 21, 22, 22, 26
B.
Ages: 18, 19, 20, 20, 20, 20, 21, 22, 22, 26
C.
Ages: 18, 19, 19, 20, 21, 21, 21, 22, 22, 26
D.
Ages: 18, 19, 19, 20, 20, 20, 21, 21, 22, 26
Answer: It would be A
Step-by-step explanation:
First: Find Median
18,19,|19|,20,|20,20|,21,|22|,22,26
there is 10 numbers so it would be between 20 and 20. Add 20 and 20 and you will get 40 and divide by 2 to get 20. Your median is 20 and the dot should be on top of the 20.
Second: Find Quartile 1 and 3
Since it’s 5 numbers on each side, the math is friendly. So you count the first 2, then circle the next number and count the last 2. The one you circled is your Quartile 1 and do the same for Quartile 3. Q1 should be 19 and Q3 should be 22. Check if they are underneath that number you got.
Last: now you know that you just have to find the median and the Q1 and Q3 and you should get the answer which is A.
Frank left his house at 7 a.m. and drove to the airport at
a speed of 50 mph. Lance left his house at 6 a.m. and
drove to the same airport at a speed of 55 mph. Frank's
house is 150 miles from the airport and Lance's house
is 220 miles from the airport.
At what time did Lance arrive at the airport?
Answer:
10 AM
Step-by-step explanation:
Frank drove at a speed of 50 mph, and traveled a distance of 150 miles. This means he traveled for 150/50 = 3 hours. 7 AM + 3 hours = 10 AM
The diameter of a circle is 14 in.
What is the radius of the circle?
A. 7 in
B. 21 in
C. 28 in
D. I don't know.
I believe the answer is 7
Step-by-step explanation:
The radius is like half of the diameter and 14/2=7
Hope this helps
i needd helppp plss and tyyy
Answer:
area : 0.0001539 square kilometers (km²) 153.9 square meters (m²)
Step-by-step explanation:
A circle of radius = 7 or diameter = 14 or circumference = 43.98 meters has an area of: 0.0001539 square kilometers (km²) 153.9 square meters (m²)
hope that helps
need helppp i dont know this
This is the graph of a polygon. What is the approximate perimeter of the polygon?
A:18.3 units
B:20.5 units
C:24.3 units
D:28.5 units
NO LINKS OR IMPROPER ANSWERS
Jada makes sparking juice by mixing 2 cups of sparkling water with every 3 cups of apple juice.
How much sparkling water does Jada need if she uses 15 cups of apple juice?
? cups of sparkling water.
How much apple juice does Jada need if she uses 6 cups of sparkling water?
? cups of apple juice.
Let S represent the number of cups of sparkling water and J represent the number of cups of apple juice. Write an equation that shows how S and J are related. Use your answers from the previous question to assist you with your answer.
Answer:
[1] 10
[2] 9
[3] j = 3/2 ⋅ s
Step-by-step explanation:
Jada makes sparking juice by mixing 2 cups of sparkling water with every 3 cups of apple juice.How much sparkling water does Jada need if she uses 15 cups of apple juice?
Answer = 10
Explanation:
Ratio for mixing 2 cups of sparkling water with every 3 cups of apple juice
2 : 3
Thus also means:
2/3 = x/15
Solve for x:
x = 10
-------------------------------------------------------------------------------------------------------------
How much apple juice does Jada need if she uses 6 cups of sparkling water?
Answer = 9
Ratio for mixing 2 cups of sparkling water with every 3 cups of apple juice
2:3
Also means:
2/3 = 6/x
Solve for x
x = 9
-------------------------------------------------------------------------------------------------------------
Let S represent the number of cups of sparkling water and J represent the number of cups of apple juice. Write an equation that shows how S and J are related. Use your answers from the previous question to assist you with your answer.
Answer = j = 3/2 ⋅ s
-------------------------------------------------------------------------------------------------------------
~lenvy~
Sai has a garden on the side of his house that will be enclosed with 196 ft. of fencing. The
rectangular plot will be fenced in on all sides except for the side against the house. What
dimensions will maximize the plot of land? What is the maximum area?
PLEASE DO THESE BELOW
-use written and verbal explanination that justifies each step
-Use at least one representation(ex number sentences, diagrams, charts, etc)
Answer:
49 and 98, with an area of 4802
Step-by-step explanation:
So, let X be one of the sides, and Y be the other
X*Y would be the area of the rectangle since width*length = area, and X is the width and Y is the length
2X+Y would be the perimeter, excluding the wall (since we don't need fencing for the side sticking to the wall)
To find the max area, we can plot our two equations
so, our two equations:
1. 2X+Y=196 (since perimeter)
2. X*Y=area, and we're trying to maximise it
We can re-arrange the first equation to get
3. Y=196-2X
plug our new equation (#3) into the second equation(#2)
to get:
X*(196-2X)=area=196X-[tex]2X^2[/tex]
And now that we have this equation, we can either:
Graph it to see the largest area (the highest point)
Or calculate the max area using calc
We have a quadratic function that goes up, then down as X increases, so we'll try to find the point where the function stops going up, and instead goes down as X increases (image is attached, not to scale). Recall that the first derivative basically tells is the slope of a function/equation at a given X, so when the function is at a slope of 0, we know that the area is at its max point.
Take the first derivative
(196X-2X^2)'=196-2(2X)=196-4X
196-4X is the equation of the slope, so when X = 49, then the slope is 0
This means that one of the side lengths should be 49
To find out which one, we can use trial and error: (there are 2 cases)
1. 49*((196-49)/2)=3601.5
or:
2. 49*(196-2*49)=4802
The second option is correct since the number, or the area is larger.
Side length 1: 49
Side length 2: (196-2*49), or 98
Note: there's definitely another way to do this problem
Use the number line to answer the question.
Answer:
2.23
Step-by-step explanation:
The reason why this is your answer is that this number is between 2 2/10 and 2 3/10. That means that turned into decimals, this number will be somewhere between 2.2-2.3
Now, we can see that this is 3 units away from 2 2/10 on the number line, which tells us that the decimal is 2.23
So hence, your answer is 2.23
-------------------------------------------------------------------------------------------------------------
If you see someone without a smile, give them one of yours!
Thanks!
Have a great day!
:D
A corner store sells 60-watt bulbs in packs of 4.
Write an equation that shows how the number of bulbs in stock, y, depends on the number of packages, x.
Answer: y = -4x + 60
Step-by-step explanation:
we can use a simple linear equation to write this problem:
y = mx + b
The slope is given to be the number of bulbs in each pack, which is 4.
now we have: y = 4x +b
The value of b is the y intercept, or the starting value, 60. From this value, 4x can be subtracted to show our remaining bulbs in stock:
y = 60 - 4x
Writing this in the form y = mx+b gives us the equation:
y = -4x + 60
Answer:
y = 4x
Step-by-step explanation:
A corner store sells 60-watt bulbs in pack of 4.
x = number of packs
y = number of bulbs
y = 4x
Check your answer using the problem:
60 = 4x
/4 /4
12 = x
This means that there are 12 bulbs in each pack.
Hope this helps!
If It's CORRECT I will give BRAINLIEST!!!!!
Answer:
Im pretty sure its C... Step-by-step explanation: what im seeing here is 10 with the small numbers in front so it looks like scientific notation, Maria has 1 million because 1 x a number = that number, 10 multiplied by itself 6 times equals 1 million, 10 x10 = 100 x 10 = 1000 x 10 = 10,000 x 10 = 100,000 x 10 = 1,000,000. so from this we know what Larry's 10 to the power of 5 is, we need to know what 100,000 x whatever equals. If im doing this right, Larry's number is 1 million 2 hundred thousand which is greater than 1 million. (sorry if the explanation is wanky and sorry if it was wrong, im new to brainly.)
The population of a city was 60,000 in 2015 and 63,000 in 2016. The percent increase in the population from 2015 to 2016 was the same as it was from 2016 to 2017. What was the population of the city in 2017?
Answer:
The population will be 66150.
Step-by-step explanation:
3000 / 60000 = 0.05 (5% Increase)
60000 X 1.05 = 66150
Answer: Kentwood, Michigan had a population of 49,000 in the year 2013. The infrastructure of the city allows for a carrying capacity of 60,000 people. rmax ...
and the link mite help
Step-by-step explanation:Hope it helps you.
The boys track team needs to keep a count of how many laps they run at practice so they know the distance. Each lap is 400 meters. What is the difference between the teammate who ran the furthest and the teammate who ran the least distance?
Answer:
I think the difference in distance is 4000 meters / 10 laps.
Step-by-step explanation:
you multiply the number of laps that they ran and then subtract the products with each other and get the meter answer
or you could just subtract the laps and get your lap answer and then multiply that by 400 to also get the same meter answer
im not sure if im right tho so good luck
Determine which is the better buy.
9 straps for $10.25 or 30 straps for $66.00
Answer:
9 straps for $10.25
Step-by-step explanation:
Price rate
9 straps for $10.25 = 10.25/9 = $1.14 per strap30 straps for $66 = 66/30 = $2.20 per strapBetter buy
9 straps for $10.25Less cost per strapbetter buyAnswer:
9 straps
Step-by-step explanation:
If you're selling 30 straps for $66 then you get a 2.2 per each
But 9 straps for $10.25 will get 1.139
So, the value that's smaller which is 9 straps for $1.139 is a better buy
Question belowwwwwww............................
Answer:
I think it's 4 ft.
Step-by-step explanation:
Answer:
i think it c
Step-by-step explanation:
Two cubes with edge lengths of 3 centimeters and 2 centimeters are placed on top of each other is shown. What is the surface area of the resulting figure?
Answer:
I believe the answer is B
Answer:
70 cm2
Step-by-step explanation:
Rebecca had these results when she drew 10 tiles from the bag. The bag has a total of 20 tiles. Her classmates got similar results. What is a good predication for the number of green and red tiles out of 20?
Answer:
10/20
Step-by-step explanation:
if she has 20 in total and there's only two colours I would assume it's an even chance,
For example a coin has two sides, = even chance of getting each side.
Good luck hope this helped
This diagram shows a park's walking path in the shaded area.
The outside circumference of the walking path is 62.8 meters and the inside circumference of the walking path is 31.4 meters.
What is the area of this walking path?
Use 3.14 for π.
Enter your answer as a decimal in the box.
Answer:
197.192
Step-by-step explanation:
62.8x3.14=197.192
if one box has a surface area of 240 inches what is the surface area of 5 boxes??
#answernowuwuplease
Answer:1200
1 box=240
so if you take 240 x5 you get 1200
Step-by-step explanation:
solve for angle 1 i got an answer but i dont know if it’s right
Answer:
73
Step-by-step explanation:
72 - 35 = 107
180 - 107 = 73
107 + 73 = 180
Look at the number 3,939.39 below, as well as the position of each digit in the number.
9
9
Number 3
Position A
3 93
C D
DE
B
F
Fill in each blank below with the correct value. Drag and drop the correct numbers into the blanks.
• The 9 in position B has a value that is
times the value of the 9 in position D
• The 3 in position E has a value that is
times the value of the 3 in position C.
2
HE
11
1
-
3
:: 9
.: 10
100
:: 100
please look at comments i will put an image so you can see
Answer:
1) 100
2) 100
Please mark BRAINLIEST
I need help if anyone could help me solve these problems that would be very helpful!
(I'll give brainliest if you can solve all of them!)
Please lmk which ones you've solved so I know which question it is. thanks!
Answer:Q9 is 12.2. Q10 is C. Q11 is C. Q12 Is 2.8. The level 3-4 thing the hight is 24.
Step-by-step explanation: a^2+b^2=c^2 pythagoras theorem or whatever. Hope this helped.
What is 3/5 divided by (-4/9)?
Answer:
-1.35. As a fraction, it'd be -1 7/20
Step-by-step explanation:
pls help
Sherwin has twice as many stamps as his friends Allan and Gene combined. Allen has 55 stamps in his collection. Sherwin has 200 stamps in his collection.How many stamps does Gene have in his collection?
The equation 2 (x + 55) = 200 models this situation. which choice shows the sequence of operations needed to solve this problem, using both arithmetic and alegbra?
Answer:
1: Gene has 45
2: C
Step-by-step explanation:
C gets you to 45.
I don't have to explain #1 because #2 explains the equation.
A rectangular prism has a length of 4 in., a width of 2 in., and a height of 212 in.
The prism is filled with cubes that have edge lengths of 12 in.
How many cubes are needed to fill the rectangular prism?
Enter your answer in the box.
To fill the rectangular prism, ___ cubes are needed.
Answer:
V = 1696 in3
Step-by-step explanation:
your asking how many cubes are needed to fill the rectangle which just means your asking for the volume, if you multiply L*W*H you'll get the answer
hope that helps
During a sale, a clothing store discounts all prices by the same percentage. A pair of jeans is marked down from $45 to $33.75. What is the sale price for a $65 sweater after the same discount is applied?
Answer:
48.75
Step-by-step explanation:
33.75 is 75% of 45
So price of sweater is 75% of 65, or 25% less which is 48.75
You hang two strands of decorative lights.
a strand of red and blue decorative lights a strand of yellow and green decorative lights
Strand 1: changes color every 18 seconds Strand 2: changes color every 27 seconds
Both strands just changed color. After how many seconds will the strands change color at the same time again?
The strands will change color at the same time again after
seconds.
Answer:
The stands will change color at the same time after 54 seconds.
Step-by-step explanation:
Find the Lcm number of both number (18 and 27)
The answer will be 54