simplify without the absolute value |x+3| ; if x>2
Answer:
[tex]x+3[/tex] if [tex]x>2[/tex]
Step-by-step explanation:
Recall some following basic ideas about absolute value:
[tex]|0|=0[/tex] or I guess [tex]-(0)=0[/tex]
[tex]|3|=3[/tex]
[tex]|-3|=-(-3)[/tex] or just [tex]3[/tex] but there is a reason why I wrote it the way I did.
You see that the absolute value returned the same value if the value was positive.
You see that the absolute value returned the opposite value if the value was negative.
You can include 0 in either.
Let's look at [tex]|x+3|[/tex] alone for a second.
*[tex]|x+3|=x+3[/tex] if [tex]x+3[/tex] is positive or zero.
When is [tex]x+3[/tex] positive or zero? [greater than or equal to 0]
[tex]x+3\ge 0[/tex]
Subtract 3 on both sides
[tex]x\ge -3[/tex]
*[tex]|x+3|=-(x+3)[/tex] if [tex]x+3[/tex] is negative or zero.
When is [tex]x+3[/tex] negative or zero? [less or equal to 0]
[tex]x+3\le 0[/tex]
Subtract 3 on both sides
[tex]x\le -3[/tex]
So looking at the bullet points (the *), [tex]x>2[/tex] fits into the first inequality.
Therefore, [tex]|x+3|=x+3[/tex].
What does this equal 3 7/12 + 4 9/12=
Hope this will help u...
What is the solution of the following system?
y=-x+2
y=-4x – 1
Your answer
Answer:
y = 3
x = -1
Step-by-step explanation:
The idea to start the problem is that we need to cancel x in one equation to find y first, therefore:
y = -x + 2 (let's multiply this entire equation by -4)
y = -4x - 1
We then have .:
- 4y = 4x - 8
y = -4x - 1 (now we sum both equations)
.:
- 3y = -9 (isolate y)
y = -9 / -3
y = 3 (good we have y!)
Now come back to one of the equations, substitute y to find your x!
Substituting on the first equation we have:
3 = -x +2 (isolate x)
3 - 2 = -x
1 = -x (multiply everything by -1)
x = -1
I hope it helps :)
PLZ HELP! WORTH EXTRA POINTS!! PYTHAGREOM THEROEM WITH 3D SHAPES
Answer:
16 units
Step-by-step explanation:
Using the Pythagorean theorem, we can find 1/2 the length of b. We will call it x
15^2 + (x)^2 = 17^2
225 + x^2= 289
Subtract 225 from each side
x^2 = 289-225
x^2 =64
Take the square root of each side
sqrt(x^2) = sqrt(64)
x =8
This is one half the length of b
b= 2*8
b = 16
Answer:
16
Step-by-step explanation:
17² = 15² + (b/2)²
64 = (b/2)²
b/2 = 8
b = 16
Which linear function has a y-intercept at –3?
Answer:
Cant answer
Step-by-step explanation:
Depending on the option choices and without seeing the option choices I can give you an idea of how to solve this.
Using y=mx+b we can find the y intercept by knowing that B is the value of the y Intercept
Answer:
(0,-3)
Step-by-step explanation:
Find the m the slope (Y-y)/(X-x) using the two points given. Step 2 - Find b using slope- intercept y = mx + b and 1 of the points given.
One month Donna rented 5 movies and 6 video games for a total of $48. The next month she rented 3 movies and 2 video games for a total of $18. Find the
rental cost for each movie and each video game.
Rental cost for each movie: s]
x
5
?
Rental cost for each video game: S
Answer:
Cost for each movie: $1.50 Cost for each video game: $6.75
Step-by-step explanation:
Let x be the cost (in dollars) of renting a movie.
Let y be the cost (in dollars) of renting a video game.
The total cost of renting 3 movies and 2 video games is +3x2y dollars.
We're given that this total cost is $18, so we have =+3x2y18.
The total cost of renting 5 movies and 6 video games is +5x6y dollars.
We're given that this total cost is $48, so we have =+5x6y48.
Therefore, we get the following system of equations.
=+3x2y18
=+5x6y48
Multiplying the first equation by −3 and adding gives us the following.
−9 x− 6 y = −54 5 x+ 6 y = 48 −4 x+ 0 y = −6
So we get the equation =−4x−6.
Solving for x, we get the following.
=x1.5
To find y, we can substitute 1.5 for x in =+3x2y18, the first equation in the system.
Then we solve for y.
+31.52y =18
+4.52y =18
2y =13.5
y =6.75
So, we have found that =x1.5 and =y6.75.
This means that the rental cost for each movie is $1.50 and the rental cost for each video game is $6.75.
A group of students were surveyed about their interest in a new International Studies program. Interest was measured in terms of high, medium, or low. 30 students responded high interest; 50 students responded medium interest; 20 students responded low interest. What is the relative frequency of students with high interest? A) 30% B) 50% C) 40% D) Cannot be de
Answer:
Relative frequency is the number of times an envent has occured.
When finding out the number of students with high interest you would take 30/100 because there was 30 students with high frequency and 100 students all together.
30/100=30%
A)30%
Hope this helps ;)
The relative frequency of students with high interest in the new International Studies program is 30%. This is calculated by dividing the number of high interest responses (30) by the total number of responses (100), and multiplying the result by 100.
Explanation:The question asks us to calculate the relative frequency of students with high interest in the new International Studies program. To do this, we divide the number of students with high interest by the total number of students surveyed.
The total number of students polled is 30 (high interest) + 50 (medium interest) + 20 (low interest), which equals 100 students. So, to calculate the relative frequency for students with high interest, we divide the number of students with high interest (30) by the total number of students surveyed (100).
The calculation is as follows: (30 / 100) * 100 = 30%
Therefore, the relative frequency of students with high interest is 30%, which corresponds to option A in your multiple choice question.
Learn more about Relative Frequency here:https://brainly.com/question/32321493
#SPJ2
Circle Q has a circumference of approximately 50 centimeters.What is the approximate length of the diameter, d? Use 3.14 for . Round to the nearest tenth of a centimeter.
Answer:
15.92
Step-by-step explanation:
50 ÷ 3.14 = 15.92
Which point on the number line represent 42?
A.P
B.Q
C.R
D.S
Answer:
Q
Step-by-step explanation:
because 42 square rooted is between 6 and 7.
A \greenD{12\,\text{cm} \times 2\,\text{cm}}12cm×2cmstart color #1fab54, 12, start text, c, m, end text, times, 2, start text, c, m, end text, end color #1fab54 rectangle sits inside a circle with radius of \blueD{8\,\text{cm}}8cmstart color #11accd, 8, start text, c, m, end text, end color #11accd.
What is the area of the shaded region?
Answer:
[tex]177cm^2[/tex]
Step-by-step explanation:
Area of the Shaded region = Area of the Circle - Area of the Rectangle
[tex]=\pi r^2 -(LXB)\\r=8cm, L=12cm, B=2cm\\$Area of the Shaded region$ =[\frac{22}{7}X8^2]-[12X2] \\=201.14-24\\=177.14cm^2\\\approx 177cm^2[/tex]
Hope I was able to help you?
Answer:
the answer is 177.06 cm^2
Step-by-step explanation:
i just did it
If each score in a set of data scores were increased by 8 points, how would this affect the mean and the standard deviation?
A) The mean would increase by 8, and the standard deviation would increase by 8.
B) The mean would increase by 8, but the standard deviation would increase by 64.
C) The mean would increase by 8, and the standard deviation would remain the same.
D) The mean would remain the same, and the standard deviation would increase by 8.
Answer: (C)
Step-by-step explanation:
· So mean is the average number for mean to happen you would need to add then dived by the number of numbers n the question.
· The Standard Deviation is a measure of how spread out numbers are.
hope this help
If each score in a set of data scores were increased by 8 points:
The mean would increase by 8, and the standard deviation would remain the same.
Option C is the correct answer.
What is a mean?It is the average value of the set given.
It is calculated as:
Mean = Sum of all the values of the set given / Number of values in the set
We have,
Mean is the sum of all the values divided by the number of the values.
Example:
1, 2, 3, 4, 5
Mean = (1 + 2 + 3 + 4 + 5) / 5
Mean = 15/5 = 3
Now,
If 1 is increased in each set,
Mean = (2 + 3 + 4 + 5 + 6) / 5
Mean = 20/5 = 4
We see that,
3 + 1 = 4
So,
The Mean is increased by the number we add with each number.
Now,
The standard deviation shows how the values are spread so,
Increasing each number will not change the standard deviation.
Thus,
The mean would increase by 8, and the standard deviation would remain the same.
Learn more about mean here:
https://brainly.com/question/23263573
#SPJ6
If Ezra works less than or equal to 50 hours doing lawn care, he must spend at least __ hours walking dogs.
Final answer:
If Ezra works less than or equal to 50 hours doing lawn care, he must spend at least [answer] hours walking dogs.
Explanation:
To determine the minimum number of hours Ezra must spend walking dogs when he works less than or equal to 50 hours doing lawn care, we need to refer to the given information and apply it to the situation
According to the exercise, Louis requires one hour to cut a typical lawn, while Carrie Anne needs one and one-half hours. Therefore, Louis is more efficient at cutting grass. Carrie Anne, on the other hand, can wash a car in half an hour, while Louis requires three-quarters of an hour. So, Carrie Anne is more efficient at cleaning cars.
If they each specialize in the task they are most efficient at, Louis should cut the grass, and Carrie Anne should wash cars. This way, they can maximize their output in a given amount of time.
Now, if they each work a twelve-hour day, we can calculate how many lawns they can cut and how many cars they can wash based on their efficiency. Louis can cut 12 lawns (since he requires 1 hour per lawn), and Carrie Anne can wash 24 cars (since she can wash a car in 0.5 hours).
Therefore, if they specialize in their most efficient tasks, they can cut 12 lawns and wash 24 cars in a twelve-hour day.
Answer:
IT IS 35
Step-by-step explanation:
What is the surface area of the figure below? Use 3.14 for Pi.
Answer:
132.52 [tex]cm^{2}[/tex]
Step-by-step explanation:
radius=3
Area of circle= 3.14x3 squared
=28.26
28.26x2=56.52
area of rectangle=76
The surface area of the composite figure will be 136.52 square cm.
What is the area?The area of a two-dimensional figure is the area that its perimeter encloses. The quantity of unit squares that occupy a closed figure's surface is its region.
The area is a combination of the area of the rectangle and the area of the circle. Then we have
A = L x W + 2 x πr²
The radius, length, and width will be 3 cm, 20 cm, and 4 cm, respectively.
The area is calculated as,
A = 20 x 4 + 2 x 3.14 x 3 x 3
A = 80 + 56.52
A = 136.52 square cm
More about the area link is given below.
https://brainly.com/question/27683633
#SPJ2
y = |x| translated one unit upward
Answer:
y = |x| + 1
Step-by-step explanation:
Answer:
y = |x| + 1
Step-by-step explanation:
Think about it first just in your head: if we want to translate up, that means every input (x) needs to be increased by one. The way to do this is by adding 1 outside of the absolute value sign!
You can also graph it online or on your calculator if you're confused!
If you flip a coin and roll a six sided die what is the probability that you flip a heads and roll a five?
Answer:
you have a 50-50% of landing heads and a 5 out 6 % chance of rolling a 5
Step-by-step explanation:
Answer: 1/12
Step-by-step explanation:
What is the mode of 50,60,80,60,70,55,85,70,90,50
Answer:
50, 60, 70
Step-by-step explanation:
The mode is the value that appears the most:
2 50s
2 60s
1 80s
2 70s
1 55s
1 85s
1 90s
The modes are 50, 60, and 70
Answer:
The mode is 50,60,70
Step-by-step explanation:
They are the numbers that repeat themselves multiple times but they all repeat the same amount so all 3 are correct
What is the radius of the circle given by the equation below?
x2 + 12x + y2 - 12y = -56
A. 2
B. 16
C. 4
D. 8
Answer:
C
Step-by-step explanation:
First, you gotta complete the square!
x^2+12x+36 = (x+6)^2
y^2-12y+36 = (y-6)^2
So, we have (x+12)^2 + (y-6)^2 = -56 + 36 + 36
The right side of the equation is the radius^2.
Simplify:
-56 + 36 + 36 = 16
The square root of 16 is 4, so the answer is C!
whats 4×5/8 please help
Answer:
5/2 = 2 1/2 = 2.5
Step-by-step explanation:
4 * 5/8 = 4/1 * 5/8 = (5 * 4)/(1 * 8) = 20/8 = 5/2 = 2 1/2 = 2.5
Answer is 2.5 because 4 times 5 is 20 and 20 divided by 8 is 2.5
Which sample size of a population of 200 is most likely to give a reliable conclusion?
Therefore, the sample size of a population of 200 is most likely to give a reliable conclusion is 80.
Answer:
80
Step-by-step explanation:
=
What is the relationship between two concentric circles with congruent radii?
Answer: Search Results
Featured snippet from the web
Congruent circles have congruent radii the plural of radius. Concentric circles have the same center. A central angle has a vertex on the center and endpoints on the circle. given point
Nancy goes out to lunch with. Jason and tim the total bill came to 27 dollars they decided to split the bill how much will each person pay?
Answer:
$13.5
Step-by-step explanation:
27/2 = 13.5
Find the area of this polygon. Answer choices: A 41 square units
B 44 square units
C 52 square units
D 56 square units
Answer:
A
Step-by-step explanation:
Answer:
41 square units
Step-by-step explanation:
It would be easier to split this shape up into a square and a triangle at the y=5 line.
The area of the square would be 16 and the area of the triangle(1/2 base x height) would be 25. 16 + 25=41
Find the distance between the points (4, 2) and (-5, 3).
Hope this will help u....
What’s does X-3 times X+5 equal
Answer:
x² + 2x - 15
Step-by-step explanation:
Given
(x - 3)(x + 5)
Each term in the second factor is multiplied by each term in the first factor, that is
x(x + 5) - 3(x + 5) ← distribute both parenthesis
= x² + 5x - 3x - 15 ← collect like terms
= x² + 2x - 15
how do you select a month of the year at random what is the probability that the month ends with the ER
Answer:
4/12 or 1/3
Step-by-step explanation:
Answer:
1:3 or 1/3
Step-by-step explanation:
September, October, November, December
4 moths out of twelve
4/12 reduces to 1/3
The answer could be written 1/3 or 1:3.
What is the amount of sales tax on a $48 backpack if the sales tax rate is 6%?
Answer: 2.88
Step-by-step explanation:
48 x 0.06 = 2.88 and thats how much tax you will pay!!
Re-write the quadratic function below in Standard Form
y = -7(x + 9) (x - 1)
Answer:
-7x squared -56x+63.
Step-by-step explanation:
Hope this helps!
The bedroom is 13ft. by 10ft. Determine the perimeter and area
Perimeter formula: 2b + 2h
Area formula: b * h
Perimeter:
2(13) + 2(10)
26 + 20
46
Area:
13 * 10
130
The perimeter is 46ft.²
The area is 130ft.²
Best of Luck!
In mathematics, the perimeter of the 13ft by 10ft bedroom would be 46ft and the area would be 130 square feet.
Explanation:The perimeter of a rectangle (which a bedroom is 13ft. by 10ft. mostly is) can be determined by adding up all the sides. So, the formula for a rectangle is: Perimeter = 2(length + width). Given that your length is 13ft and width is 10ft, the calculation would be Perimeter = 2(13ft + 10ft), resulting in a perimeter of 46ft.
The area of a rectangle is calculated by multiplying the length by the width. In this case: Area = length * width, therefore Area = 13ft. * 10ft., resulting in an area of 130 square feet.
Learn more about Calculating Perimeter and Area here:https://brainly.com/question/343443
#SPJ3
A market sels 6 cans of food for every 7 boxes of food. The market sold a total of 26 cars and bones today. How many of
each kind did the market sel?
O 6 cars and 20 boxes
O 12 cans and 14 boxes
14 cans and 12 boxes
20 cans and 6 boures
Answer:
12 Cans and 14 boxes
What is the scale factor ASAP
and why
Answer:
The SF is 2/3
Step-by-step explanation:
You can find this out by creating a ratio between the points and it's image. The one with the apostrophe is the image, and the bigger one is the pre-image.