Solve 2|x + 2| – 3 ≥ 0 by graphing
Answers
this is the answer of the equation as a graph
Related Questions
How do I determine z ∈ C:
[tex](\frac{3-2i}{1+i} - \frac{5+3i}{1+2i} )z = \frac{1}{2} - \frac{2}{5}i[/tex]
Answers
Simplify the coefficient of z on the left side. We do this by rationalizing the denominators and multiplying them by their complex conjugates:
[tex]\dfrac{3-2i}{1+i} - \dfrac{5+3i}{1+2i} = \dfrac{3-2i}{1+i}\cdot\dfrac{1-i}{1-i} - \dfrac{5+3i}{1+2i}\cdot\dfrac{1-2i}{1-2i}[/tex]
[tex]\dfrac{3-2i}{1+i} - \dfrac{5+3i}{1+2i} = \dfrac{(3-2i)(1-i)}{1-i^2} - \dfrac{(5+3i)(1-2i)}{1-(2i)^2}[/tex]
[tex]\dfrac{3-2i}{1+i} - \dfrac{5+3i}{1+2i} = \dfrac{3 - 2i - 3i + 2i^2}{1-(-1)} - \dfrac{5 + 3i - 10i - 6i^2}{1-4(-1)}[/tex]
[tex]\dfrac{3-2i}{1+i} - \dfrac{5+3i}{1+2i} = \dfrac{3 - 5i + 2(-1)}2 - \dfrac{5 - 7i - 6(-1)}5[/tex]
[tex]\dfrac{3-2i}{1+i} - \dfrac{5+3i}{1+2i} = \dfrac{1 - 5i}2 - \dfrac{11 - 7i}5[/tex]
[tex]\dfrac{3-2i}{1+i} - \dfrac{5+3i}{1+2i} = \dfrac{1 - 5i}2\cdot\dfrac55 - \dfrac{11 - 7i}5\cdot\dfrac22[/tex]
[tex]\dfrac{3-2i}{1+i} - \dfrac{5+3i}{1+2i} = \dfrac{5 - 25i - 22 + 14i}{10}[/tex]
[tex]\dfrac{3-2i}{1+i} - \dfrac{5+3i}{1+2i} = -\dfrac{17 + 11i}{10}[/tex]
So, the equation is simplified to
[tex]-\dfrac{17+11i}{10} z = \dfrac12 - \dfrac{2i}5[/tex]
Let's combine the fractions on the right side:
[tex]\dfrac12 - \dfrac{2i}5 = \dfrac12\cdot\dfrac55 - \dfrac{2i}5\cdot\dfrac22[/tex]
[tex]\dfrac12 - \dfrac{2i}5 = \dfrac{5-4i}{10}[/tex]
Then
[tex]-\dfrac{17+11i}{10} z = \dfrac{5-4i}{10}[/tex]
reduces to
[tex]-(17+11i) z = 5-4i[/tex]
Multiply both sides by -1/(17 + 11i) :
[tex]\dfrac{-(17+11i)}{-(17+11i)} z = \dfrac{5-4i}{-(17+11i)}[/tex]
[tex]z = -\dfrac{5-4i}{17+11i}[/tex]
Finally, simplify the right side:
[tex]-\dfrac{5-4i}{17+11i} = -\dfrac{5-4i}{17+11i} \cdot \dfrac{17-11i}{17-11i}[/tex]
[tex]-\dfrac{5-4i}{17+11i} = -\dfrac{(5-4i)(17-11i)}{17^2-(11i)^2}[/tex]
[tex]-\dfrac{5-4i}{17+11i} = -\dfrac{85 - 68i - 55i + 44i^2}{289-121(-1)}[/tex]
[tex]-\dfrac{5-4i}{17+11i} = -\dfrac{85 - 68i - 55i + 44(-1)}{410}[/tex]
[tex]-\dfrac{5-4i}{17+11i} = -\dfrac{41 - 123i}{410}[/tex]
[tex]-\dfrac{5-4i}{17+11i} = -\dfrac{41 - 41\cdot3i}{410}[/tex]
[tex]-\dfrac{5-4i}{17+11i} = -\dfrac{1 - 3i}{10}[/tex]
So, the solution to the equation is
[tex]z = -\dfrac{1-3i}{10} = \boxed{-\dfrac1{10} + \dfrac3{10}i}[/tex]
What is 5 times 9 divided 5 add 40 subtract 100
Answers
Answer:
-51
Step-by-step explanation:
A die is weighted in such a way that each of 2, 4, and 6 is twice as likely to come up as each of 1, 3, and 5. Find the probability
distribution?
Answers
Considering that each of 2, 4, and 6 is twice as likely to come up as each of 1, 3, and 5, the probability distribution is given by:
[tex]P(X = 1) = 0.1111[/tex]
[tex]P(X = 2) = 0.2222[/tex]
[tex]P(X = 3) = 0.1111[/tex]
[tex]P(X = 4) = 0.2222[/tex]
[tex]P(X = 5) = 0.1111[/tex]
[tex]P(X = 6) = 0.2222[/tex]
The symbolic distribution is:
[tex]P(X = 1) = y[/tex]
[tex]P(X = 2) = x[/tex]
[tex]P(X = 3) = y[/tex]
[tex]P(X = 4) = x[/tex]
[tex]P(X = 5) = y[/tex]
[tex]P(X = 6) = x[/tex]
The sum of all probabilities is 1, hence:
[tex]3x + 3y = 1[/tex]
Simplifying by 3:
[tex]x + y = 0.3333[/tex]
[tex]y = 0.3333 - x[/tex]
2, 4, and 6 is twice as likely to come up as each of 1, 3, and 5, hence:
[tex]x = 2y[/tex]
[tex]x = 2(0.3333 - x)[/tex]
[tex]3x = 0.6667[/tex]
[tex]x = \frac{0.6667}{3}[/tex]
[tex]x = 0.2222[/tex]
Then:
[tex]y = 0.3333 - x = 0.3333 - 0.2222 = 0.1111[/tex]
Hence, the distribution is:
[tex]P(X = 1) = 0.1111[/tex]
[tex]P(X = 2) = 0.2222[/tex]
[tex]P(X = 3) = 0.1111[/tex]
[tex]P(X = 4) = 0.2222[/tex]
[tex]P(X = 5) = 0.1111[/tex]
[tex]P(X = 6) = 0.2222[/tex]
A similar problem is given at https://brainly.com/question/24855677
What is the value of y in the following system of equation3x-4y=-20 -x+2y=10
Answers
3x-4y==20-x+2y=10
2x-2y=-20=10
2x-2y=30
30/2x= 15
15/-2y= -7.5
If you divided 30 by 2y it would be -15 but go with the answer that is one of the answer choices.
At a store, 4 shirts cost $25 and 6 shirts cost $37.50.
Part A:
Is there a proportional relationship between the shirts and their cost? If so, what is the unit rate for one shirt?
Answers
Can someone put an answer for each box plzzzz.
Answers
Marie bought some albums and picture frames as gifts for a party. Each album cost 18$ and each picture frame cost 3$ less. the ratio of picture frames to albums was 4:3 she paid a total of 1026 for all albums and picture frames
Answers
Answer:
36:27
Step-by-step explanation:
18 - 3 = 15$ for each picture frame
15$ (picture frames) : 18$ (albums)
4 picture frames : 3 albums = 114$
1026 divided by 114 = 9
4x9 = 36 picture frames
3x9 = 27 albums
36:27
Answer:
Marie bought 36 frames and 27 albums
Step-by-step explanation:
So is an album is $18 and a picture frame is $3 less that would make picture frames $15. Now if the ratio of picture frames to albums was 4:3 and she paid a total of $1026 for all, the equation would look like this:
15f + 18a = 1026
Now add in the ratio
(15 + 15 + 15 + 15 + 18 + 18 + 18)x = 1026
114x = 1026
x = 9
Now this means the ratio fit 9 times into the end number
Picture Frames: 4 x 9 = 36
Albums: 3 x 9 = 27
And to check we plug back in
15(36) + 18(27) = 1026
540 + 486 = 1026
1026 = 1026
1. Write the equation of a horizontal line that passes through the point (–2, 2). x = –2 y = –2 y = 2 x = 2
Answers
Answer:
x = 2
Step-by-step explanation:
The given point is (-2, 2). A horizontal line passing through this point is x = 2.
A recipe asks for 4 1/2 pounds of chicken.
How many pounds of chicken are needed to make 1/2 of a recipe?
Express the answer in simplest form.
Enter the answer in the box.
Answers
Answer:
2/1/2 you need 2and 1/2 of chicken
D.Solve the following problems.Show your solution
1.A boy ran a distance of 5.8 kilometers. How many meters did he run?
2. Jose walks 378 meters while Rene walks 0.67 kilometers.What is the difference between the distances which they walked,in centimeters
SHOW YOUR SOLOTION PLSSS
I will ggive u points
sana
Answers
2. 29200 centimeters. there are 100 centimeters in a meter, and 1000 meters in a kilometer, so 0.67x1000 gives you 670 meters, which if multiplied by 100 gives you 67000 centimeters, and if you multiply 378 by 100 you get 37800 centimeters. 67000-37800=29200cm
a small square garden has an area of 25 square yards. how long is each side of the garden?
Answers
Answer:
Step-by-step explanation:
A square has an area of base times height which is identical to base.
If x is the length of a side, A = x•x = x²
x² = 25
x = √25
x = 5 yards
what is 282.74 in terms of pi
Answers
Answer:
90π
Step-by-step explanation:
282.74 / π
282.74 / 3.14159 = 90
282.74 = 90π
Which statement is true in the question below?
Answers
Answer:B
Step-by-step explanation:
Mr. Hinkle baked a pie for Thanksgiving. He cut the pie into 6 piece. He and 2 of his friends each at one slice. What percent of the pie did they eat? *
30%
60%
50%
20%
Answers
Answer:
30%
Step-by-step explanation:
Answer:
50
Step-by-step explanation:
please help meeeee c:
Answers
Answer:
x = - 2
Step-by-step explanation:
Don't let the points disturb you. They are actually meant to confuse you.
Answers
1 32 multiplied by 0.32 when rounded to the nearest hundredths
Answers
Answer:
42.20
Step-by-step explanation:
132 ×0.32
=42.24
rounded off it give 42.20
consider the following :
[tex]f(x) = {x}^{2} - x + 2 \div x - 2 = x + 1 + 4 \div x - 2[/tex]
which polynomials do you think we should call the divisor,dividend,quotient and remainder ?
Answers
Step-by-step explanation:
remainder=4
quotient=x+1
divisor=x-2
dividend=x^2 -x +2
PLEASE HELP WILL MARK BRAINEST
If I || m, find the values of x and y.
Answers
Answer:
x = 8, y = 89/9
Step-by-step explanation:
Because of parallel lines, some angles are the same, see the attached image. That also means that (12x-28) + (9y-77) = 180 because they are half of an angle. So:
(12x-28) + (9y-77) = 180 ->
12x + 9y = 185.
Then,
(7x+12) = (12x-28) ->
x = 8.
We can plug that into the last equation:
12(8) + 9y = 185 ->
y = 89/9
:)
The expression on the left side of an equation is shown below.
-4(x-2)+5x=0
If the equation has no solution, which expression can be written in the box on the other side of the equation?
2(x+4) - x
O x + 8
O 4(x + 2) - 5x
Ο Χ
Answers
Answer:
x + 8
Step-by-step explanation:
Expanding the equation
-4(x-2)+5x = -4(x-2)+5x
= -4x+8+5x
= -4x+5x + 8
= x+8
To solve the given system by elimination, what is the first step to take? A) Rewrite each equation in standard form, ax + by = c. B) Multiply 2x + y + 1 = 0 by −3. C) Multiply 2x + y + 1 by −2. D) Combine the equations by adding like terms.
Answers
Answer:
option d
Step-by-step explanation:
Your should have attached the equation for answer to be explained
Repost
A group of tourists are on a three-day hiking trip. They hike ⅛ of the trail on the first day. On the second day, they hike 4/7 of the remaining distance. On the third day, they hike 1/3 of the remaining distance, plus the final 8 km. How many kilometers long is the trail?
Answers
Answer:
You told me to resolve this question
What is the equation for the line in slope-intercept form?
Enter your answer in the box.
Answers
Find the angles of a triangle which are in the ratio 4:3:2.
Answers
Answer:
80o, 60o, 40o
Step-by-step explanation:
The sum has to add up to 180 degrees because of the three sides and this is what matches.
Answer:
Let the given angles of the triangle be 4x, 3x and 2x.
We know that the sum of all interior angles of a triangle is 180°.
Therefore,
4x+3x+2x = 1809x = 180x = 180/9x = 20Hence, the angles of the triangle are -
4x = 4×20 = 80°3x = 3×20 = 60°2x = 2×20 = 40°y=3x+5 what are the missing values
A.) ONLY (2,11)
B.) ONLY (3,13)
C.) BOTH (2,11) and (3,13)
D.) NEITHER
Answers
Answer:
A
Step-by-step explanation:
so first substitute 2 into the x so 3*2=6 then and 5+6= 11 then substitute 11 into the y and boom it works. (3,13) doesnt work because if you substitute them in 3*3=9 then 9+5=14 but we needed 13 so only (2,11) works.
A radio tower is located 425 feet from a building. From a window in the building, a person determines that the angle of elevation to the top of the tower is 30 ∘ ∘ and that the angle of depression to the bottom of the tower is 26 ∘
. How tall is the tower?
Answers
The height of the tower is 452.66 ft
The situation will form 2 right angle triangle. One above the line of sight
and one below the line of sight.
Therefore,
Using trigonometric ratio,
tan ∅ = opposite / adjacent side
tan 30° = h(top of the tower) / 425
h(top of the tower) = tan 30 × 425 = 245.373864406
tan 26° = h(bottom of the tower) / 425
h(bottom of the tower) = 425 × tan 26° = 207.28635014
Therefore,
Height of tower = h(top of the tower) + h(bottom of the tower)
Height of tower = 245.37 + 207.29 = 452.66 ft
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Find the equation for the linear function based upon this table. y = mx + b
y -6 -2 2 6 10
x -4 -2 0 2 4
Answers
Answer:
y = 2x + 2
Step-by-step explanation:
for each rise of 4 in y
there is a run of 2 in x
m = rise/run
m = 4/2
m = 2
when x = 0, y = 2
therefor the y-intercept, b = 2
y = mx + b
y = 2x + 2
On the first three tests, Jhon scored 72 points. On the next test, he got a higher score. On the
third test, his score was 1 more than on the second. His average on the three tests was 83.
What were his grades on the second and third tests?
Answers
Answer:
Second test=88
Third test=89 Hope this helps please mark brainliest it helps a lot! Thanks!
Step-by-step explanation:
According to the question, here we got to know that John scored 72 points in the first test
In the second he scored higher than the 1st test
In the third he scored 1 mark more than the second test
His average in the three tests was 83
So,
Let's the marks scored in the 2nd test be x
Hence, in the third test he got x + 1
Average is 83
[tex] \frak{Average = \frac{{1}^{st} \: test + {2}^{nd} \: test + {3}^{rd} \: test }{3} } \\ \\ \dashrightarrow \frak{83 = \frac{72 + x + x + 1}{3}} \\ \\ \dashrightarrow \frak{83 = \frac{73 + 2x}{3}} \\ \\ \dashrightarrow \frak{249 = 73 + 2x } \\ \\ \dashrightarrow \frak{249 - 73 = 2x} \\ \\ \dashrightarrow \frak{249 = 73 + 2x } \\ \\ \dashrightarrow \frak{x = \frac{176}{2} } \\ \\ \dashrightarrow \frak{249 = 73 + 2x } \\ \\ \dashrightarrow \frak{249 - 73 = 2x} \\ \\ \dashrightarrow \frak{249 = 73 + 2x } \\ \\ \star \qquad \boxed{ \green{\frak{x = 88}}} \\ \\ \sf{ \underline{{2}^{nd} \: test }} : \\ \\ \boxed{ \red{88}} \\ \\ \sf{ \underline{{3}^{rd} \: test }} : \\ \\ \rightarrow x + 1 \\ \\ \rightarrow 88 + 1 \\ \\ \boxed{ \red{ 89 }}[/tex]
How many solutions are there to the equation shown below?
4(2x−3)−2x=6x+8
pls answer ASAP I will give brainliest to the first
Answers
Answer:
0 = 20
Step-by-step explanation:
4(2x−3)−2x=6x+8
8−12−2=6+8
combine like terms.
8x−12−2x=6x+8
6−12=6+8
Add 12 to both sides of the equation
6x−12=6x+8
6−12+12=6+8+12.
: Two manufacturers supply paper cups to a catering service. Manufacturer A supplied 100 packages and 5 were damaged. Manufacturer B supplied 50 packages and 3 were damaged. If a package is damaged, find the probability that it came from Manufacturer A.1 I.e., Find probability P(Manu
Answers
If a package is damaged, the probability that it came from Manufacturer A is 62.5%.
Given that two manufacturers supply paper cups to a catering service, and manufacturer A supplied 100 packages and 5 were damaged, while Manufacturer B supplied 50 packages and 3 were damaged, to determine, if a package is damaged, the probability that it came from Manufacturer A, the following calculation must be performed:
5 + 3 = 100 5 = X 5 x 100/8 = X 62.5 = X
Therefore, if a package is damaged, the probability that it came from Manufacturer A is 62.5%.
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