Answer:
Step-by-step explanation:
Hello,
We know that
[tex]|x|=\begin{cases}x & \text{if } x\geq 0 \\ -x & \text{if } x<0 \end{cases}[/tex]
So we need to take into account two cases
Case 1 - [tex]x-3\geq 0<=> x\geq 3[/tex]
Then, |x-3|=x-3
||x-3|-2|=|x-3-2|=|x-5|
Either x-5 is positive and then |x-5|=x-5 and
[tex]|x-5|\leq 1<=>x-5\leq 1<=>x\leq 6[/tex]
Or x-5 is negative and then, |x-5|=-x+5
[tex]|x-5|\leq 1<=>-x+5\leq 1<=>4\leq x[/tex]
So the solution is [4;6]
Case 2 - [tex]x-3< 0<=> x< 3[/tex]
Then, |x-3|=-x+3
||x-3|-2|=|-x+3-2|=|-x+1|
Either -x+1 is positive and then |-x+1|=-x+1 and
[tex]|-x+1|\leq 1<=>-x+1\leq 1<=>0\leq x[/tex]
Or -x+1 is negative and then, |-x+1|=x-1
[tex]|-x+1|\leq 1<=>x-1\leq 1<=>x\leq 2[/tex]
So the solution is [0;2]
Conclusion
The solution is [0;2]∪[4;6]
Thanks
Can you help me understand all this...
1.1,-0.1,-1.3,-2.5,-3.7,-4.9,-6.1,-7.3
Answer:
Su diferencia es -1.2
Step-by-step explanation:
Analizando la jerarquía de los números esta va de ascendente (mayor) a decendente (menor).
Como se puede ver tu primer número es 1.1 y el que le sigue es -0.1, ahí se podría hacer la primera ecuación que es una resta de números 1.1-0.1=1.2. Vamos a retomar el segundo valor y poner el resultado que nos dio al principio (recordando la ley de los signos:negativo más negativo, pues se suman pero el signo negativo estará presente ahí), para tener sentido aquí hay una explicación.
-0.1-1.2=-1.3 y lo mismo hacemos -1.3-1.2=-2.5
Write the expression in the standard form a+b i
(8-8i) + (1+6i )= (simplify the answer)
Answer:
Step-by-step explanation:
(8 - 8i) + (1 + 6i)
8 + 1 - 8i + 6i
9 - 2i
solve for x
[tex] - 6x + 14 = 32 - 4x[/tex]
how do I solve
Answer:
x = -9
Step-by-step explanation:
add 4x to both sides of the equal sign so then you'd have -2x + 14 = 32
then subtract 14 from both sides to where you have -2x = 18
then divide both sides by -2 and get x= -9
Solve | | 2x + 5 | – 3 | = 8
Find
-/16. (4 points)
a
-4
ob
4
Ос
+4
Od
-8
Answer:
4i
Step-by-step explanation:
I hope its not too complicated
[tex]\sqrt{-16} \\\\\mathrm{Apply\:radical\:rule}:\quad \sqrt{-a}=\sqrt{-1}\sqrt{a}\\\\\sqrt{-16}=\sqrt{-1}\sqrt{16}\\\\\mathrm{Apply\:imaginary\:number\:rule}:\quad \sqrt{-1}=i\\\\=\sqrt{16}i\\\\\sqrt{16}=4\\\\=4i[/tex]
calculate the M.A.D WILL BRAINLIST
Answer:
24/760/7Step-by-step explanation:
For the first dataset ...
d1 = {20, 22, 24, 28, 29, 29, 30}
The deviations from the mean of 26 are ...
d1 -mean(d1) = {-6, -4, -2, 2, 3, 3, 4}
so the total of the absolute values of these is 24. Since there are 7 numbers, the mean of the absolute deviations is ...
mad = 24/7
__
For the second dataset ...
d2 = {12, 15, 21, 30, 33, 35, 36}
The deviations from the mean of 26 are ...
d2 -mean(d2) = {-14, -11, -5, 4, 7, 9, 10}
so the total of the absolute values of these is 60. Again, there are 7 numbers, so the mean of the absolute deviations is ...
mad = 60/7
please solve this question..
Answer:
vertex = (- 1, - 4.5 )
Step-by-step explanation:
Given
f(x) = [tex]\frac{1}{2}[/tex] (x - 2)(x + 4)
The vertex lies on the axis of symmetry which is positioned at the midpoint of the zeros.
To find the zeros let f(x) = 0, that is
[tex]\frac{1}{2}[/tex] (x - 2)(x + 4) = 0
Equate each factor to zero and solve for x
x - 2 = 0 ⇒ x = 2
x + 4 = 0 ⇒ x = - 4
The x- coordinate of the vertex is therefore
x = [tex]\frac{-4+2}{2}[/tex] = [tex]\frac{-2}{2}[/tex] = - 1
Substitute x = - 1 into f(x) for corresponding y- coordinate
f(- 1) = [tex]\frac{1}{2}[/tex] (- 1 - 2)(- 1 + 4) = [tex]\frac{1}{2}[/tex] × - 3 × 3 = 0.5 × - 9 = - 4.5
Coordinates of vertex = (- 1, - 4.5 )
The ages of Edna, Ellie, and Elsa are consecutive integers. The sum of their ages is 114.
What are their ages?
x = Edna's age
x + 1 = Ellie's age
x + 2 = Elsa's age
the sum of their ages = 114
Let's set all of their ages equal to 114
x + x + 1 + x + 2 = 114
Combine like terms
3x + 3 = 114
Subtract 3 from both sides
3x = 111
Divide both sides by 3
x = 37
Edna's age = x = 37 years old
Ellie's age = x + 1 = 37 + 1 = 38 years old
Elsa's age = x + 2 = 37 + 2 = 39 years old
1. Evaluate the following:
a) 249 =
b) - 100
c) 10 + 7169
Answer:
a) 249 = 249 or 2.49 × 10²
b) - 100 = - (10)²
c) 10 + 7169 = 7179
Step-by-step explanation:
The ratio of the width to the length of a rectangle is 1:3. Which of the following ratios represents a rectangle with:______.
a) 5:7.
b) 6:9.
c) 33:100.
d) 21:63.
The question is incomplete. Here is the complete question
The ratio of the width to the length of a rectangle is 1:3. Which of the following ratios represents a rectangle with this same ratio?
Answer:
21:63
Step-by-step explanation:
The ratio of the width to the rectangle is 1:3
= 1/3
= 0.333333
From the options given we have the following ratios
=5:7
= 5/7
= 0.71428
= 6:9
= 6/9
= 0.666666
= 33:100
= 33/100
= 0.33
= 21:63
= 21/63
= 0.3333333
Hence the ratio which represents the rectangle given above is 21:63
Researchers randomly divide participants into groups. Each group takes a different amount of omega-3 fatty acid supplements daily for a month. One group receives a placebo. The researchers measure the impact on cholesterol levels in the blood. What is the purpose of random assignment in this experiment
Answer:
To increase the accuracy of the research results and prevent skewness in the data
Step-by-step explanation:
Random assignment is a measure taken in experiments to ensure that there is no pattern in the qualities of individuals chosen for the study. This would ensure that any results obtained from the experiment can be rightly attributed to the research treatments and not to any other factor. It helps to eliminate bias in choosing the participants of the study. The researcher randomly assigns subjects to the treatment and control groups.
In the experiment described above, random assignment is necessary as it would ensure that participants do not have shared characteristics which could be a possible cause of the results obtained from the study and not the omega-3 fatty acid supplements administered.
i will give u brainlyist plz When 1/3 is written as a repeating decimal, which digits are repeating? A. 27 B. 37 C. 73 D. 28
Answer:
1/3 in decimal format is .333333333333... so none of these are correct
Which y values are represented on the the graph below?
Answer:
The value is of y is 1 . please follow me I will give u more answer
The range of the line segment will be - 3 ≤ y ≤ 3. Then the correct option is A.
What are domain and range?The domain means all the possible values of x and the range means all the possible values of y.
A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
From the graph, the maximum value of the line segment will be 3 and the minimum value of the line segment will be negative 3. Then the range can be given as,
R = [-3, 3]
- 3 ≤ y ≤ 3
The range of the line segment will be - 3 ≤ y ≤ 3. Then the correct option is A.
More about the domain and range link is given below.
https://brainly.com/question/12208715
#SPJ2
the number of hours you work in a week.
Answer:56 hours a week is what you have to work 8 hours a day 7 days a week
A number n minus 10 is no more than 25.
Answer: n - 10 ≤ 25
Step-by-step explanation:
Question 1
4 pts
Three researchers studying the behavior of moose at Isle Royale National Park in Lake Superior collect the
following information about 13 moose near their research station:
• Each moose's gender.
• Each moose's height measured in inches.
• How many hours each moose spends in the water each day.
An estimate of the average total weight of food eaten per day by each moose.
Which of the following best describes the individuals and variables that are being measured?
.
The three researchers are the individuals. There is one categorical variable and four quantitative variables,
The three researchers are the individuals. There are four categorical variables and one quantitative variable.
The 13 moose are the individuals. There is one categorical variable and four quantitative variables.
The 13 moose are the individuals. There are four categorical variables and one quantitative variable.
Next
The correct answer is C. The 13 moose are the individuals. There is one categorical variable and four quantitative variables.
Explanation:
In research, the individuals refer to the participants or population that is being analyzed. For example, if the purpose of the research is to know how many hours highschool students sleep, the individuals are high school students. In this context, the individual or population of this study ae the 13 moose.
Moreover, this research focuses on different variables such as gender, height, the number of hours each moose spends in the water, the weigh of the food eaten on average by each moose, and the average weight of food eaten every day. From these variables, the last four variables are quantitative because they can be measured using numbers, for example, the height is measured in inches. On the other hand, the first variable is categorical because each moose can be classified in only two categories: male or female.
2x-2 ???????????????????????????????????????????????????
a deer stands cast a shadow 15 feet long at the same time that a 4-foot-tall casts a shadow that is 6feet long. how tall is the deer stand
Answer:
10 feet
Step-by-step explanation:
i took the test
NEED HELP ASAP WILL GIVE BRAINLY AWARD
To find the area of the larger figure, let's multiply the length by the width.
9 ft * 4 ft = 36ft^2
Let's do the same thing with the smaller figure.
3 ft * 4 ft = 12ft^2
Let's add the area of both figures together.
36ft^2 + 12ft^2 = 48ft^2
Jamie has 175 in her savings account every year 75 is added to her account tanner has 50 in his savings account every year 100 is added to his account and how many do you have a
Evaluate x^3– y^2 if x = 2 and y= 3/4
Answer:
2³-3/4²
Step-by-step explanation:
A coffee stand sells cups of coffee for $6 and cups of tea for $3. Tuesday a total of 75 cups were sold and the total money collected was $312. How many cups of coffee and how many cups of tea were sold
Answer:
46 Teas and 29 Coffees
Step-by-step explanation:
46×3= 138
29×6= 174
174+138=312
A manufacturing company plans to progressively increase its production capacity over the next few quarters. (A quarter is a period of three months.) The increase in production can be modeled by the equation y = x6 − 25x4 + 199x2, where x is the number of quarters. What is the minimum duration required for the company to reach a production capacity of 4,975 units?
Answer:
5 months
Step-by-step explanation:
We assume that y represents production capacity, rather than increase in production capacity. Then we want to solve the 6th-degree equation ...
x^6 -25x^4 +199x^2 -4975 = 0
This can be factored in groups as ...
x^4(x^2 -25) + 199(x^2 -25) = 0
(x^4 +199)(x^2 -25) = 0
This has 4 complex solutions and 2 real solutions.
x^2 = 25
x = ±5
The duration required for capacity to reach 4975 units is 5 months.
A company produces 4.56 times 10 Superscript 3 light bulbs each week. Written in scientific notation, which is the best estimate of how many light bulbs the company will make in 9.36 times 10 Superscript 2 weeks?
4.5 times 10 Superscript 1 light bulbs
1.4 times 10 Superscript 5 light bulbs
4.5 times 10 Superscript 6 light bulbs
45 times 10 Superscript 6 light bulbs
Answer:
4.5 times 10 Superscript 6 light bulbs
Step-by-step explanation:
I took the test (:
The Lions won 35 out of 40 games this season. What fraction of the games did the Lions win?Write your answer in simplest form.___________________________________
Answer:
7/8
Step-by-step explanation:
Answer:
7/8
Step-by-step explanation:
Divide common factors from both the numerator and denominator. Divide 5 from both top and bottom:
(35/40)/(5/5) = 7/8
7/8 is your answer.
~
Your friend says the solution to the inequality 6X -12X is greater than or equal to -18 are x greater than or equal to 3. Solve the inequality correctly. What air did your friend make?
An angle measuring 3.6 radians is drawn in standard position?
In what quadrant will the terminal side of this angle lie?
Express your answer as a Roman numeral.
Answer:
III
Step-by-step explanation: I just took the quiz
Which subset does 22 belong in
At least one of the numbers must be 0.
1. none
2. Hypothesis
3. Conclusion
Answer:
The answer is 1.) None
Step-by-step explanation:
Hope this helps you :)
write two and six hundreds nineteen thousandths in decimal.
Answer:
Easy .2619
Step-by-step explanation:
hope it helped