Create a list of steps, in order, that will solve the following equation.
3(x+2)^2=48
Answers
Answer:
Start with the given equation.
%28x-2%29%5E2=%2848%29%2F%283%29 Divide both sides by 3.
%28x-2%29%5E2=16 Reduce.
x-2=%22%22%2B-sqrt%2816%29 Take the square root of both sides.
x-2=sqrt%2816%29 or x-2=-sqrt%2816%29 Break up the "plus/minus" to form two equations.
x-2=4 or x-2=-4 Take the square root of 16 to get 4.
x=2%2B4 or x=2-4 Add 2 to both sides.
x=6 or x=-2 Combine like terms.
Step-by-step explanation:
Steps: Divide both sides by 3
- Then take square root of both sides
- Separate the equation like this:
x+2= -4
x+2= 4
- Solve for x:
To get -6 subtract -4 and 2
To get 2 subtract 4 and 2
x= -6
x= 2
Related Questions
find the radius of a right cylinder with the volume of 2000 cubic meters and a height of 11 meters round your answer to the nearest hundredth
Answers
Answer:
12
Step-by-step explanation:
Answer:
Right cylinder
Solve for radius
r≈7.61m
h Height
11
m
V Volume
2000
m³
Step-by-step explanation:
FIND the Perimeter of this composite figure.
Answers
Answer:54
Step-by-step explanation:54
At the end of the school year a school system has a table with the total absences and tardies in its 10 schools what is the best way to display these data?
A. Bar Graph
B.Circle Graph
C. Stem and leaf plot
D.Ogive graph
Answers
Answer:
A
Step-by-step explanation:
Tell whether the ordered pair ( -2, -2) is a solution of the system of linear equations.
2x - y = -2
x - 2y = 2
Answers
Answer:
Yes, the ordered pair (-2,-2) is a solution of the system of linear equations.
Step-by-step explanation:
Plug in the x and y value in to the equation and see if the equation is true or not.
Yes, the given ordered pair is the solution of the given system of linear equation.
What is the system of linear equation?
Systems of equations are used to solve applications when there is more than one unknown and there's enough information to set up equations in those unknowns.
Given is a system of lineae equation,
2x-y = -2
x-2y = 2
Putting x = -2 and y = -2 in 2x-y = -2, we get,
2(-2)-(-2)
-4+2 = -2
LHS = RHS
Again, Putting x = -2 and y = -2 in x-2y = 2, we get,
-2-2(-2) =
= -2+4 = 2
LHS = RHS
Since, the ordered pair satisfying the equations.
Hence, Yes, the given ordered pair is the solution of the given system of linear equation.
For more references on system of linear equation, click;
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Desiree has a box of grease pencils. 8 are green, 10 are yellow, 9 are brown, and 5 are blue. What is
the probability of Desiree selecting a green grease pencil at random, replacing it back into the box, and
then selecting a yellow grease pencil?
a 5/62
b 18/64
c 5/64
d 6/20
Answers
Answer:
C, 5/64
Step-by-step explanation:
To solve this problem, first find the ratio of green pencils to all pencils. There are 8 green pencils and 32 total pencils, meaning the ratio is 8:32. As a fraction, 8/32 can be simplified to 1/4.
Then, find the ratio of yellow pencils to all pencils. There are 10 yellow pencils and 32 total pencils, so the ratio is 10:32. As a fraction, 10/32 can be simplifies to 5/16.
Now, multiply 5/16 by 1/4 to get the chance of selecting a green pencil, putting it back, then selecting a yellow pencil.
5/16 * 1/4 = 5/64
Therefore, C is the correct answer.
anyone know how to do 1 & 2 ?
Answers
Answer:
D and F
Step-by-step explanation:
1.
SA and V of 3x4x5 right rectangular prism.
Three pairs of faces, 3×4, 4×5, 3×5, so area
SA = 2(3×4 + 4×5 + 3×5) = 94 sq ft
V = L×W×H = 3×4×5 = 60 cubic ft
Answer: D. SA 94 sq ft, V 60 cu ft
2. Right triangular prism, base legs 3x4, height 7
Two triangular faces, combined area 2×(1/2)×3×4=12, and three rectangular faces, 3x7, 4x7 and 5x7
SA = 12 + 7(3+4+5) = 8(12) = 96
Volume is area of base times height, so (1/2)(3)(4)(7)=42.
Answer: I. SA 96 sq cm, V 42 cu cm
Which functions are increasing?
Select all answers that are correct.
Answers
Explanation: You read graphs like this from left to right and so you follow the line and you could tell if the line is going up (increasing) or going down (decreasing$
whats the mean absolute deviation of 1, 3, 2, 2, 1, 3, 3, 1
Answers
Answer:
Mean Absolute Deviation (MAD): 0.75
Step-by-step explanation:
Total numbers: 8
Mean: 2
Mean absolute deviation: 0.75
35 - (-8) find the difference
Answers
Answer:
43
Step-by-step explanation:
negative + negative = positive
with that rule, you change the - to a +.
35 + 8 = 43
HELP
Explain and show how to find the measurement of angle x and y. Use the word complementary in your explanation.
Answers
Answer:
i believe the answer for X is 25 and Y is 65
Step-by-step explanation:
what i did could be completely wrong but meh anyways if one shape has to add up to 180 degrees you find D which is 90 then add A which is 65 subtract that from 180 and you get your answer for the far left shape. now to find the Y angle subtract 25 from 90 and you get 65 and you already know there is a 90 degree angle so add the subtract that from 180 and then you get 25. also they are the same angles on both shapes just different sizes. i hope i got it right and if i did i hope i helped. =)
Can -0.96 be the probability of an outcome in a sample space?
yes
no
Answers
Answer:
no
Step-by-step explanation:
-4x -4y=-5
12x + 12y =15
What do the following equation represent
Answers
Answer:
x=5/4 -y
Step-by-step explanation:
12x-12x 12x-12x 12 divided by 0 = undefined
subtract 12 from both sides of the equation then divide by 12.
so the answer would be:
y= 5/4 -x
HELP ASAP 100 POINTS!!!!
You start with $1000 and every day you will receive the previous day’s total plus an additional $1000 a day for 30 days. How much money will you have after 30 days?
Answers
Answer: After 30 days, you would have $30,000
Step-by-step explanation: The question clearly gives us a progression which is best described as an arithmetic progression, that is, every term (or every day's amount of money) is determined by adding a fixed amount to what you already have from the previous term (or previous day).
In order to determine the amount earned after a given number of days, we will begin by determining a formula that can be suited for calculating all through any given number of days.
The first amount is fixed already, and we shall call that a. So a equals 1000. The amount added to that is 1000, so for day 2, you shall have 1000 plus 1000 which gives you 2000. The amount added we shall call d, so for day one you earned 1000, for day two you earned 1000 plus 1000. For day three you will earn 2000 plus 1000, which gives you 3000.
Having taken day one as a, and each successive 1000 as d, observe the following trend;
Day 1 = a
Day 2 = a + d
Day 3 = a + (3 - 1)d which gives you a + 2d
Since the first day has been represented by a, the third day shall be less by one common difference which is d. Hence the formula for day n can be expressed as follows;
Day ₙ = a + (n - 1)d
Where n is the number of days, the nth day shall be less by 1 since the term already includes day 1, which is the first term, hence every term shall always be less by 1. In other words, the 30th day (or 30th term) shall be less by 1 shown as follows
Day 30 = 1000 + (30 - 1) 1000
Day 30 = 1000 + (29 x 1000)
Day 30 = 1000 + 29000
Day 30 = 30000
Answer:
You would get 1000 everyday because you would get the previous day, you would have 30,000
Step-by-step explanation:
help me find the interquartile range please
Answers
Answer:
18
Step-by-step explanation:
Interquartile Range = Q3-Q1
First step is to order the data values from least to greatest. Next step is to find the median, the median of this data set is 36.5, then you find the Q1 and Q3, Q1 is the lowest middle of the data set, like the lowest median of the data set. The Q1 is 26. Then you find the Q3, the Q3 is the highest median of the data set. The Q3 is 44.
Now you subtract the Q3 and the Q1,
44-26=18
18 is the interquartile range.
Marcel converts the frequency table to a conditional relative frequency table by row. 4-column table, 3 rows. First column no label with entries less than 30 miles a gallon, greater than or equal to 30 miles a gallon, total. Second column labeled less than 40 dollars a week with entries W, Y, almost equals 0.43. Third column labeled greater than or equal to 40 dollars a week with entries X, Z, almost equals 0.57. Fourth column labeled total with entries 1.0, 1.0, 1.0 Which value should he use for Y? Round to the nearest hundredth. 0.19 0.45 0.82 0.90
Answers
Answer:
0.19
Step-by-step explanation:
____ | <40 | 》40 | Total
< 30 | W | X | 1.0
》30 | Y | Z | 1.0
Total | 0.43 | 0.57 | 1.0
Since W, X, Y and Z are conditions frequency, they can't be negative
Therefore,
W and Y are both less than 0.43
X and Z are both less than 0.57
The only option less than 0.43 is 0.19 (for Y)
Answer:
0.19
Step-by-step explanation:
____ | <40 | 》40 | Total
< 30 | W | X | 1.0
》30 | Y | Z | 1.0
Total | 0.43 | 0.57 | 1.0
Since W, X, Y and Z are conditions frequency, they can't be negative
Therefore,
W and Y are both less than 0.43
X and Z are both less than 0.57
The only option less than 0.43 is 0.19 (for Y)
A laptop is in the shape of a rectangular prism. The laptop has a length of 14 inches, a width 10 inches, and a height of 1 inch. Eryday it's the volume of the laptop?
Answers
Answer: Volume is 140
Step-by-step explanation:
a taxi cab charges a flat fee of $2.00, plus $0.25 for every mile driven. If the fare comes to $7.75, what equation could be used to determine how many miles the taxi drove?
Answers
Answer:
7.75 = .25x + 2
Step-by-step explanation:
Which number is Venezuela on the map? yall
WILL MArk BRAINLEIST IF YOU ASNWER FIRST.
1,000 POINTS TO YOUR ACCOUNT WILL BE ADDED BUT ASNWER THEN I RETURN JUST THAT yall
1
2
5
8
Answers
Answer:
5
Step-by-step explanation:
If a demand curve shown above shift to the left then the________.
.
Answers
Answer:
The quantity demanded goes down
Answer:
Hey ya'll! your answer is D. demand decreased
Thank you so much to the guy above me!
Solve 7^ x-1 = 49 ^4-x
Answers
Answer:
Step-by-step explanation:
Find the distance between (5,2) and (5,0). PLEASE HELP!!
Answers
Answer:
Its 2 bro
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
use the distance formula
y2-y1
_____
x2-x1
2-0
___
In a 5-day work week, Matt puts 175 miles on his car. His wife, Sarah, puts 100 more miles on her car than he does in the same amount of time. How many total miles will they put on their cars in 28 work days?
A. 1560
B. 2520
C. 2780
D. 2940
ASAPPPPP
Answers
Answer:
A. 1560
Step-by-step explanation:
5-day work week, Matt puts 175 miles on his car. His wife, Sarah, puts 100 more and 28 work days
The cost of a shirt is $56. There is a markup of 18%
for the store. Wha t will be the cost of the shirt in the
store?
Answers
Answer:
66.08
Step-by-step explanation:
First find the markup
56 * 18%
56*.18 =10.08
Add this to the original price
56+10.08
66.08
This is the cost in the store
Answer:
$66.08
Step-by-step explanation:
18% of 56= 10.08
56+10.08=66.08
hope this helps :)
if i want to.find out when an object hirs the ground i should _____
Answers
Answer:
You should test out with different objects in different places. But, I would be careful not to use anything that could break!
If you 20 points invested $1,000 this year and the investment return is 7% annually, how much would you have in 20 years? Use this formula: A=P(1+r)^t (P represents initially investment, r represents the rate, and t represents the
time in years)
Answers
Answer:
2400 I'm sorry if im wrong I tried
Step-by-step explanation:
Harold collected data on the daily high temperature in two cities over a period of one week.
He analyzed the data and found the measures below. Which statement is true, based on
these measures?
City Median Temperature Range from Median
Carlton
75°F
5 degrees
Borden
88°F
5 degrees
The daily low temperatures for the two cities were 70°F and 83°F.
Borden had at least one daily high temperature of 98°F.
The temperature in Carlton was always cooler than in Borden.
The difference between the daily high temperature for the two cities was 13 degrees.
Answers
The following statement is true with the given values of median and range.
The temperature in Carlton was always cooler than in Borden.
Median and rangeThe median is the middle number in a sorted ascending or descending list of numbers. The range is the difference between any two numbers.
How to find the median and the range?Check the trueness of each statement with the given table.
First statement-The daily low temperatures for the two cities were[tex]70^{0}F[/tex] and [tex]83^{0}F[/tex].Lowest temperature over a week [tex]=[/tex] Median - Range
Thus, for Carlton, it is [tex](75-5)=70^{0}F[/tex] and for Borden it is [tex](88-5)=83^{0}F[/tex]
So, this statement is not true.
Second statement-Borden of at least one daily high temperature of [tex]98^{0}F[/tex]At least one daily high-temperature [tex]=[/tex] Median + Range
For Borden, it is [tex](88+5)=93^{0}F[/tex]
So, 2nd statement is not true.
Third statement-Temperature in Carlton was always cooler than in Borden.For Carlton, at least one daily highest temperature (75+5)=[tex]80^{0}F[/tex]
For Borden, at least one daily lowest temperature [tex](88-5)=83^{0}F[/tex]
Borden's lowest temperature [tex]83^{0}F[/tex] was even more than Carlton's highest temperature [tex]80^{0}F[/tex].
So, the 3rd statement is true.
Fourth statement-The difference between the daily high temperature for the two cities was [tex]13^{0}F[/tex].If the high temperature for Carlton for one day is [tex]80^{0}F[/tex] and for Borden [tex]83^{0}F[/tex], which is within the given range, then the difference is only [tex]3^{0}F[/tex].
So, the 4th statement is also not true.
Hence, the temperature of Carlton was always cooler than in Borden is the true statement.
Learn more about the median and the range here-
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Which expression can be used to find the surface area of the following triangular prism?
A. 6+6+33+44+55
B. 6+6+55+55+55
C. 12+12+33+44+55
D. 12+55
Answers
Answer:
C
Step-by-step explanation:
3×4=12
3×11=33
5×11=55
The point (5, -2) is rotated 90° about the origin. Its image is
(-2, 5)
(2, 5)
(-5, 2)
Answers
Answer:
(2,5)
Step-by-step explanation:
The rule to 90 degrees about the origin is (x,y) to (-y,x). You basically switch the values of y and x but remember the value of y is negative. The value of y is -2 so -2 is now 2 since the rule changed the sign (-2×-y=2) and 5 isnt affected except it is the x value. Just know that since they r switched, x is now 2 and y is 5 when rotated 90 degrees about the origin.
Answer:
(2,5)
Step-by-step explanation:
Find the area. Will mark brainliest
Answers
Answer:
54 sq in.
Step-by-step explanation: 9x12= 108 108 divided by 2 = 54
so yeah
I will give you all five stars ⭐⭐⭐⭐⭐
Answers
Answer:
<E=<A
Step-by-step explanation:
i think you have the right answer
