For this problem we will use the complex numbers 3 - 6i and 9 + i
What is the conjugate of each complex number?
What is the sum of the complex numbers? Show all work.
What is the sum of the conjugates of the complex numbers? Show all work.
If G(x)=5x-2, find G^-1(x).
A.-5x+2
B.(x+2)/5
C.(x/5)+2
Answer:
C.
Step-by-step explanation:
G(x) = 5x - 2
G^-1 = everything will become a fraction with one as the numerator and all negatives on the bottom become a positive constant.
G^-1(x) = (x/5) + 2
Need help with question 4
9514 1404 393
Answer:
16/7
Step-by-step explanation:
If the segments are congruent, their lengths are equal:
(1/2)x -3 = 5 -3x
(3 1/2)x = 8
x = 8/(3.5) = 16/7
The value of x is 16/7.
_____
Comment on the question
This value of x makes the lengths of the segments be -13/7 units. Usually, negative lengths are considered impossible for line segments.
The graph represents function 1, and the equation represents function 2:
6
3
2
1
0
0 1
2
3
4
5 6 7 8 9
Function 2
y = 8x + 12
How much more is the rate of change of function 2 than the rate of change of function 1? (4 points)
O 3
O4
O 5
Answer:
Please check the explanation.
Step-by-step explanation:
We know that the slope or rate of change of the function can be:
positivenegativezero, orundefinedFunction 1
From the function 1 graph, it is clear that the graph is a horizontal line. We must note that the horizontal line has a slope or rate of change zero. The reason is that the horizontal line can not rise vertically. i.e. y₂-y₁=0
so using the slope formula
Rate of change = m = y₂-y₁ / x₂-x₁
Taking two points (x₁, y₁) = (0, 4), (x₂, x₁) = (1, 4)
Rate of change = m = 4-4 / 1-0
Rate of change = m = 0/1
Rate of change = m = 0
Thus, the rate of change of function 1 is zero.
Function 2
We know the slope-intercept form of linear equation is
[tex]y = mx+b[/tex]
where m is the rate of change or slope of the function and b is the y-intercept
Given the function
[tex]y = 8x+12[/tex]
comparing with the slope-intercept form i.e. y = mx+b
Therefore, the rate of change of function 2 = m = 8
Conclusion
The rate of change of function 1 = 0
The rate of change of function 2 = 8
as
8 - 0 = 8Therefore, function 2 has 8 more rate of change of function than the rate of change of function 1.
Which graph shows the following system of equations and its solutions? -0.1x-0.3y=1.2 and 0.2x-0.5y=2
Answer:
Option b is the correct answer as both the equations are true for given solution.
Step-by-step explanation:
Given equations are:
-0.1x-0.3y=1.2
0.2x-0.5y=2
We can observe each graph and find the point that is the solution and put the point in the equations to know if that point is the solution
For option A:
(0,4)
Putting x=0 and y = 4 in both equations
[tex]-0.1(0)-0.3(4)=1.2\\0-1.2 =1.2\\-1.2 \neq 1.2\\0.2(0)-0.5(4)=2\\0-2 = 2\\-2 \neq 2[/tex]
This is not the correct answer as both equations are not true with this solution
For Option B:
(0,-4)
Putting x = 0 and y = -4 in both equations
[tex]-0.1(0)-0.3(-4)=1.2\\0+1.2 = 1.2\\1.2 = 1.2\\0.2x-0.5y=2\\0.2(0)-0.5(-4) = 2\\2 = 2[/tex]
Both equations are true for (0,-4) hence it is the solution of the system.
For Option C:
(4,0)
[tex]-0.1(4)-0.3(0)=1.2\\-0.4-0 = 1.2\\-0.4 \neq 1.2\\0.2x-0.5y=2\\0.2(4)-0.5(0) = 2\\0.8 \neq 2[/tex]
Not true for both equations
Hence,
Option b is the correct answer.
neeeeddd helppp asap
Max is building a model of the Washington Monument which is 555 feet tall if it's model must fit in his Mom's car, what scale must he use?
Answer:
1 foot=1 milimeter
Step-by-step explanation:
have a great day
HELP FAST PLEASE!!! PLEASE
Indentify the interval on which the function is increasing.
what is 7/9 of 1 1/14
Answer:
1.5555556
1 5/9
14/9
Step-by-step explanation:
Plz help with question
Answer:
1
Step-by-step explanation:
in an equilateral triangle all the sides are equal
Helppp asappp I need help with 4
Answer:
Step-by-step explanation:
1. Write the equation in point slope form. Remember, point slope form looks like this: y-y1=m(x-x1), with m representing slope. With this equation, you plug in the y coordinate for y1 and the x coordinate for x1. So, it will look like this
y+6=2/3(x+5)
2. Then, convert that into slope intercept form, which is y=mx+b.
y+6=2/3x+10/3 (2/3 * 5)
y= 2/3x - 8/3 (10/3 - 6)
Therefore, your slope-intercept form of the equation is: y=2/3x - 8/3
3. From there, you can graph the line. See the graph in the image attached.
The owner of 12 book stores is buying 32 copy's of a book for each of his stores. How many books will he buy in all?
Answer:
384
Step-by-step explanation:
12 book stores and 32 copies of a book for each book store
12 times 32 = 384 books
Which number line best represents the solutions to 7 < -2x + 3?
Answer:
B or D
Step-by-step explanation:
Apply the distributive property to convert the expression to the greatest common factor multiplied by a term in parenthesis.
36a+9=
40+50d=
28-7f=
Answer:
9(4a+1)=
10(4+5d)=
7(4-f)=
Step-By-Step Solution:
The greatest common factor is the largest number that both numbers can be divided by. For example, in #1, 36 and 9 can both be divided by 9 to become 4 and 1.
Please answer: A A piece of wood that is 7.07 centimeters long. Then she sawed 0.7 centimeters off the end. How long is the piece of wood now?
Answer:
6.37 cm
Step-by-step explanation:
Are all electrolytes the same in their indications? Explain
The cost of painting a wall that is 5 meters wide and 2 1/2 meters tall is $50. How many square meters can be painted for $1?
Point A(6,9) is diluted by scale factor K(2/3) and center at the coordinate (0,0). What are the coordinates of the image?
(25 points, i couldn't find anything with all subjects so i just put mathematics)
Answer:
16/24
Step-by-step explanation: Multiply the fractions....( / )
By one by one then divided them together.
anyone know this two questions I can't figure this out
Answer:
22) x - 46 = 74
23) 20 portions
Step-by-step explanation:
21)
Let x = the number of cars Sara sold.
Jerry sold 46 cars fewer than Sara, so Jerry sold x - 46 cars.
Jerry sold 74 cars, so the equation is
x - 46 = 74
Answer: x - 46 = 74
22)
Let the number of 1/3 lb portions = x
The weight of x number of 1/3-lb portions is 1/3 * x, or simply x/3.
The full bag weighs 6 2/3 lb.
The equation is
x/3 = 6 2/3
Now we solve for x.
x/3 = 20/3
Multiply both sides by 3.
x = 20
Answer: 20 portions
Answer:
let 's' = Sara's amount
let 's-46' = Jerry's amount
equation: s - 46 = 74
s = 120
Step-by-step explanation:
2nd question: [tex]\frac{20}{3}[/tex] ÷ [tex]\frac{1}{3}[/tex] = [tex]\frac{20}{3}[/tex]· [tex]\frac{3}{1}[/tex] = 20
Which calculation and answer show how to convert 11/25 to a decimal?
Answer:
this is the answer
Step-by-step explanation:
1125=11×425×4=44100=0.44
Mr. and Mrs. Brown went to two movies. The first one lasted 3 1/2 hours and the second one lasted 1 1/3 hours . How much longer was the first than the second movie?
Answer:
2 1/6 longer
Step-by-step explanation:
3 1/2-1 1/3
7/2 - 4/3
21/6-8/6
13/6 or 2 1/6
so 2 1/6 longer.
Hope this helps :D
Answer:
2 1/6 hours longer
Step-by-step explanation:
Hope the helps!
Which ordered pairs match the graph?
(0, 0), (2, 2), (2, 3), (2, 4), (3, 3.5)
(0, 0), (0, 2.5), (2, 2), (2, 3), (2, 4)
(0, 0), (1, 1), (2, 2), (3.5, 4), (2, 0)
(0, 0), (1, 3.5), (2, 3), (2, 2), (3, 2)
Answer:
We can't see the graph i can help if you insert it
Step-by-step explanation:
What are the possible degrees for the polynomial function?
Answer:
and "Bumps"
Purplemath
Graphs of polynomials don't always head in just one direction, like nice neat straight lines. Instead, they can (and usually do) turn around and head back the other way, possibly multiple times. Each time the graph goes down and hooks back up, or goes up and then hooks back down, this is a "turning" of the graph.
I refer to the "turnings" of a polynomial graph as its "bumps". This isn't standard terminology, and you'll learn the proper terms (such as "local maximum" and "global extrema") when you get to calculus, but, for now, we'll talk about graphs, their degrees, and their "bumps".
For instance, the following graph has three bumps, as indicated by the arrows:
y = (1/50)(x + 5)(x^2)(x – 5), crossing at x = –5 and x = 5, and just touching at x = 0
Corinna is taking a test in which short-answer questions are worth 10 points each and essay questions are worth 15 points each. She estimates that it takes 3 min to answer each short- answer question and 6 min to answer each essay question. The total time allowed is 60 min, and no more than 16 questions can be answered. Assuming that all her answers are correct, how many questions of each type should Corinna answer in order to get the best score?
Perform the following operation
and express the answer in
scientific notation.
4.0x105 x 3.0x103
[ ? ]x10!?)
Answer:
Step-by-step explanation:
first step, multiply 4 and 3
4x3=12 , we write is 1.2x10
10^5 x10^3=10^8
4 x10^5 x 3 x 10^3= 1.2x10^9
The required answer is 1.20 x 10⁹ in scientific notation.
What is scientific notation?Scientific notation is a method of writing extremely large or extremely small numbers. When a number between 1 and 10 is multiplied by a power of 10, it is written in scientific notation.
Here,
To multiply two numbers in scientific notation, we multiply their coefficients and add their exponents. Applying this rule, we get:
= (4.0 x 10⁵) x (3.0 x 10³)
= (4.0 x 3.0) x (10³ x 10⁵)
= 12.0 x 10⁵⁺³
= 12.0 x 10⁸
However, the answer is not yet in proper scientific notation form because the coefficient 12.0 is not between 1 and 10. To express the answer in scientific notation, we need to adjust the coefficient and exponent so that the coefficient is between 1 and 10. We can do this by dividing the coefficient by 10 and increasing the exponent by 1. Doing this, we get:
12.0 x 10⁸ = 1.20 x 10⁹
Therefore, the answer is 1.20 x 10⁹ in scientific notation.
Learn more about scientific notation here: https://brainly.com/question/13091583
#SPJ7
8 gallons equals how many pints?
Answer:
38
Step-by-step explanation:
Answer:
8 gallons equals 64 pints since there are 8 pints in a gallon
Step-by-step explanation:
take care
A company that makes hair care products had 9,000 people try a new shampoo. Of the 9,000 people,
18 had a mild allergic reaction. What percent of the people had a mild allergic reaction?
Answer:
0.2%
Step-by-step explanation:
18/9000×100%
now use calculator
Answer: 0.2 percent
Step-by-step explanation:
This is the number of people who were allergic to the shampoo/ total people
18/9000
Simplify!
1/500=0.02=0.2 percent of people
A consumer group is testing camp stoves. To test the heating capacity of a stove, they measure the time required to bring 2 quarts of water from 50 degrees to boiling.
Two competing models are under consideration. Thirty-six stoves of each model were tested and the following results were obtained.
Model 1: mean time is 11.4 and standard deviation is2.5
Model 2: mean time is 9.9 and standard deviation is 3.0
Is there any difference between the performances of these two models? {use a .05 level of significance}. Find the p-value of the sample statistic and do a significance test.
Find a 95% confidence interval for the difference of the means.
Answer:
a
The decision rule is
Reject the null hypothesis
The conclusion is
There is sufficient evidence to show that there is a difference between the performances of these two models
b
The 95% confidence interval is [tex] 0.224 < \mu_1 - \mu_2 < 2.776 [/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 36
The first sample mean is [tex]\= x_1 = 11.4[/tex]
The first standard deviation is [tex]s_1 = 2.5[/tex]
The second sample mean is [tex]\= x_2 = 9.9[/tex]
The second standard deviation is [tex]s_2 = 3.0[/tex]
The level of significance is [tex]\alpha = 0.05[/tex]
The null hypothesis is [tex]H_o : \mu_1 - \mu_2 = 0[/tex]
The alternative hypothesis is [tex]H_a : \mu_1 - \mu_2 \ne 0[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{ (\= x_1 - \= x_2 ) - (\mu_1 - \mu_2 ) }{ \sqrt{ \frac{s_1^2 }{n} + \frac{s_2^2 }{ n} } }[/tex]
=> [tex]z = \frac{ ( 11.4 - 9.9) - 0 }{ \sqrt{ \frac{2.5^2 }{36} + \frac{ 3^2 }{36 } } }[/tex]
=> [tex]z = 2.3[/tex]
From the z table the area under the normal curve to the left corresponding to 2.3 is
[tex]P( Z > 2.3 ) = 0.010724[/tex]
Generally the p-value is mathematically represented as
[tex]p-value = 2 * P( Z > 2.3 )[/tex]
=> [tex]p-value = 2 * 0.010724[/tex]
=> [tex]p-value = 0.02[/tex]
From the value obtained we see that [tex]p-value < \alpha[/tex] hence
The decision rule is
Reject the null hypothesis
The conclusion is
There is sufficient evidence to show that there is a difference between the performances of these two models
Considering question b
From the question we are told the confidence level is 95% , hence the level of significance is
[tex]\alpha = (100 - 95 ) \%[/tex]
=> [tex]\alpha = 0.05[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \sqrt{ \frac{s_1^2 }{n } + \frac{s_2^2}{n}} [/tex]
=> [tex]E = 1.96 * \sqrt{ \frac{2.5^2 }{ 36 } + \frac{ 3^2}{36}} [/tex]
=> [tex]E = 1.276 [/tex]
Generally 95% confidence interval is mathematically represented as
[tex]( \= x_1 - \= x_2) -E < \mu_1 - \mu_2 < ( \= x_1 - \= x_2) + E [/tex]
=> [tex]( 11.4 - 9.9 ) -1.276 < \mu_1 - \mu_2 < ( 11.4 - 9.9 ) + 1.276 [/tex]
=> [tex] 0.224 < \mu_1 - \mu_2 < 2.776 [/tex]
Oblicz ile wynosi niewiadoma (a+1)-(-8)= -9
Step-by-step explanation:
I don't understand your language but if it's the solution;
(a+1)-(-8)= -9
Remove the parentheses
a+1+8= -9
Collect the like terms
a= -9-8-1
a= -18
Which calcuation and answer show how to convert 5/16 to a decimal?
Solve the following equations | 3x + 3/7 | = 2 1/3
Answer:
X∈[tex]\frac{5}{63}, -\frac{23}{63}[/tex]
Step-by-step explanation:
Ms. Jackson emptied 16 boxes of crayons into a classroom crayon bucket in each box 2/9 The crayons were green how many crayon boxes could she filled with all the green crayons?
Answer:
2 boxes
Step-by-step explanation:
do 16 times 2 you get 32 so there are 32 green crayons 32/9 9 times 3 is 36 which is over 32 so you cant fill 3 boxes 9 times 2 equals 27 so the answer would be she can fill 2 boxes