Answers
9514 1404 393
Answer:
[tex]f(x)=\left\{\begin{array}{ccc}3&\text{for}&-5\le x < 0\\1-x&\text{for}&0<x \le 5\end{array}\right.[/tex]
Step-by-step explanation:
The left section is defined at x = -5, but not at x = 0, so the interval for that definition is -5 ≤ x < 0. The function value on that interval is constant: 3.
The right section is defined a x = 5, but not at x = 0, so the interval for that definition is 0 < x ≤ 5. That section is a straight line with a slope of -1 and a y-intercept of 1. The function value on that interval can be written -x+1.
Then the piecewise definition is ...
f(x) = {3, for -5 ≤ x < 0; -x+1, for 0 < x ≤ 5}
Related Questions
what is the deep meaning of slope
Answers
Step-by-step explanation:
the slope or gradient of a line is a number that describes both the direction and the steepness of the line.
PLZ HELP ME What shape is this cross-section?
Answers
Answer:
i'm not sure if i'm right but think is cube
You place a 1-dollar bet on the number 17 at Las Vegas, and your friend places a 1-dollar bet on black (see Exercises 1.1.6 and 1.1.7). Let X be your winnings and Y be her winnings. Compare E(X), E(Y ), and V(X), V(Y). What do these computations tell you about the nature of your winnings if you and your friend make a sequence of bets, with you betting each time on a number and your friend betting on a color
Answers
Answer:
E(x) = -$0.05263
E(y) = -$0.05263
V(x) = 0.9972
V(y) = 32.23
the expectations are the same, both will lose the same amount of money if they play for 38 times.
Though Variance is different. The girl betting on colors has little chance to gain and lose but the boy betting on number has huge deviation
Step-by-step explanation:
Given that; you place a 1-dollar bet on the number 17 at Las Vegas and your friend places a 1-dollar bet on black.
Let x represent your winnings and y represent your friends winnings
we know that, There are 18 black slots, 18 red slots and two green slots (0 and 00) on a US roulette wheel.
so, the chances of getting black(red) = 18/38
now, E(y) = (18/38)$1 + (20/38)(-$1)
E(y) = -$0.05263
Now, bets made on the chart of the various numbers 1 to 36 and zero, Just put a chip down in the middle of the square with the number you select. If it comes up, it pays 35-to-1. It is called a straight up bet.
hence, the chance of getting selected number will be 1/38
so E(x) will be;
E(x) = (1/38)$35 + (37/38)(-$1)
E(x) = -$0.05263
So, V(x) will be;
V(x) = [ 1 - (1/19)² ]
= 1 - 0.00277
V(x) = 0.9972
V(y) = { [ (35)² × (1/38) ] - (1/19)² }
= 32.2368 - 0.00277
V(y) = 32.23
Therefore, the expectations are the same, both will lose the same amount of money if they play for 38 times.
Though Variance is different. The girl betting on colors has little chance to gain and lose but the boy betting on number has huge deviation.
What number is 120% of 16?
Answers
Answer:19.2
Step-by-step explanation:
Find the vertex of the parabola defined by the following equation. 3x^2-12x+11
Answers
Answer:
y= 3(x-2)^2-1
Step-by-step explanation:
A bottle holds 48 teaspoons of vanilla. The amount of vanilla remaining in the bottle decreases by 2 teaspoons per
batch of cookies. How much vanilla remains after 12 batches of cookies
Answers
Answer:
24 teaspoons
Step-by-step explanation:
2 times 12 = 24
48 - 24 = 24
AABC is reflected across the x-axis.
What is the new location of point B?
0 (-4,-2)
0 (4, -2)
O (4,2)
0 (-4,2)
Answers
This is because when every anything is reflected over the x-axis the coordinate goes from (X,Y) to (X,-Y). Since the original coordinate is (4,-2) the new coordinate is (4,2).
Please
All steps
Trigonometry
Answers
Which becomes y=14.2/sin(29) hence =29.28984782 cm. round it as per necessary
Amanda has 5 purple grapes and 8 red grapes. Select the ratios that compare the number of red grapes to the total number
of grapes. Mark all that apply.
8 to 5
8:13
F8
13
Answers
Answer:
8 to 5
dassit
Step-by-step explanation:
bc for every 5 graped u hv 8
How do I go back to my account from Saturday?
Every 3 Sundays my computer has to re-set so I lost my account and I want to go back to it. Can you help me?
Answers
Answer:
Save the password and username of brainly, and the next time it happens you just have to login from the information (password and username) you saved. You won't lose your account then.
Hope this helps you!
Step-by-step explanation:
can someone help plssss
Answers
Answer:
Step-by-step explanation:
11y-36=63
11y=99
y=9
Rachel is purchasing a condominium and is financing $485,000 with a 30-year 6/1 ARM at 4.95% with a 1/10 cap structure. What will her payments be at the beginning of year 7?
Answers
Answer: Rachel's payment will be $2,588.78
Step-by-step explanation:
Given that;
Loan amount L = $485,000
number of months n = 30 × 12 = 360
Interest rate per month C = 4.95 / (100 × 12) = 4.95/1200 = 0.004125
Now, using the formula
P = L[ c ( 1 + c )ⁿ / ( 1 + c )ⁿ - 1 )
we substitute
P = 485,000 × [ 0.004125 ( 1 + 0.004125 )³⁶⁰ / ( 1 + 0.004125 )³⁶⁰ - 1 )]
P = 485,000 × [ 0.01815619 / 3.4015 ]
P = 485,000 × 0.0053377
p = 2,588.78
Therefore, Rachel's payment will be $2,588.78
Answer:
$2845.65
Step-by-step explanation:
yurr
Which of these are like terms in the following expression:
3x + 7 + 9x + 24y + 2x2
O 7, 24y
0 3x, 9x
O 3x, -9x
O 3x. -9x, 2x2
Answers
Answer:
The second one (3x, 9x)
Step-by-step explanation:
Like terms are the terms that either have the same variable or have no variable.
3x and 9x are the like terms in the given expression.
The given expression is 3x+7+9x+24y+2x².
What are like terms?Like terms are those terms whose variables and their exponent power are the same. The coefficient of these variables can be different. Algebraic-like terms are terms that are similar to each other
In the expression 3x+7+9x+24y+2x²
Terms 3x and 9x have the same variables and their exponents also same.
So, 3x and 9x are like terms
Therefore, 3x and 9x are the like terms in the given expression.
To learn more about the like terms visit:
https://brainly.com/question/14557679.
#SPJ2
Write a story that could represent this math problem.
4x 3/8
Answers
Answer:
id.k im sorry
Step-by-step explanation:
Which fraction is in simplest form? 3/12 5/10 2/3 4/6
Answers
Answer:
2/3 is in simplest form, the other three fractions can be reduced
Plz guys help I need help
Answers
Answer:
I'm gonna say C hopefully
Answer:
answer C is correct answer if wrong sory
Find the product of (1)(3)(x).
Your
answer
Answers
Answer:
2/5.
Step-by-step explanation:Start with fractions for which you need to find the product. In this example, we will multiply the fractions 4/6 and 3/5.
Simplify the fractions to the lowest terms. A fraction needs to be simplified if the same number can divide both the numerator and denominator of a fraction. So 4/6 would become 2/3 and you would multiply by 3/5.
Multiply the numerators. Multiply the top number in one fraction by the top number in the other fraction. In this case 2 x 3 = 6.
Multiply the denominators. Multiply the bottom number of one fraction by the bottom number in the other fraction. In this case 3 x 5 = 15
Simplify the product again if necessary. Your product of 6/15 can be converted into 2/5 by dividing both the numerator and denominator by 3. So the product of 4/6 and 3/5
What are the coordinates of the point on the directed line segment from (-7, 10) to
(-2,-5) that partitions the segment into a ratio of 2 to 3?
Answers
a ratio of 2 to 3 means that the line segment is divided into 5 equal pieces
let (x,y) be 2/5 of the way from (-10,-3) to (1,7)
what is the distance of the segment ?
use the distance formula to find the distance of the segment
√(11^2+10^2)=√221
-10 to 1 is 11 units, 2/5(11)=4.4
-3 to 7 is 10 units, 2/5(10)=4
-10+4.4=-5.6
-3+4=1
the point is (-5.6,1)
check:
find the distance from (-10,-3) to (-5.6,1)
find the distance from (-5.6,1) to (1,7)
these distances should add up to √221
first distance:√[(4.4^2)+4^2]=√35.36
second distance:√[(6.6^2)+6^2]=√79.56
√35.56+√79.56=√221
5.946+8.919=14.866
14.865≈14.866
Please help!!!!!!!!!!!!!!!!!!!!!
Answers
You have 2 with mn so 9mn - 9mn =0
You also have 2 with m4n so -19m4n - 12m4n = -31m4n
Put it together:
-31m4n -8m2
So C
Let me know if you have any questions
Seven angles of an octagon measure 105, 139, 131, 115, 155, 138, and 145 degrees. What is the measure of the eighth angle?
Answers
Answer:
105 hopefully this helps you
If you had $20 US, estimate how many Yen and Pounds you would have. Show your work.
please help
Answers
Answer:
$20 USD equal 2094 JPY
Step-by-step explanation:
What is the median of the following data set?
{13, 18, 13, 14, 13, 16, 14, 21, 13}
A. 13
B. 13.5
C. 14
D. 15
Answers
The median of the data is 14
What is median?The median is the middle number in an ordered data set.
Given:
{13, 18, 13, 14, 13, 16, 14, 21, 13}
First all the data according to ascending order, we get
13, 13, 13, 13, 14, 14, 16, 18, 21
So, the median is the 5th term which is 14.
Learn more about median here:
https://brainly.com/question/17126196
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Why is the grandma across the street beating up a dude.
1. She a gangster
2. She was robbed
3. That's her ex she f.cked cause he was young
4. She crazy
Answers
The RMS Titanic has 2,224 people on board ship (including children). There was only enough lifeboat space for 1.178 people.
What is the probability of survival? List as a whole percent
Answers
Answer:31.6
Step-by-step explanation: 31.6 percent survived and 53.4 could have!
The average smoker typically pays 15% higher life insurance costs than the average non-smoker. If the monthly cost to a non-smoker is $500 dollars per month, how much would the average smoker pay per month for the same life insurance policy?
a) $500.15
b) $515.00
c) $533.00
d) $575.00
Answers
Answer:
$75
Step-by-step explanation:
The average smoker pay 15% life insurance than the non-smoker
The monthly cost of a non-smoker is $500 per month
Therefore the amount that would be paid by the average smoker in a month can be calculated as follows
= 500 × 15/100
= 500 × 0.15
= 75
Hence the amount to be paid is $75
8
Fill in the ratio table, where all ratios are equivalent.
А
B
4
9
20
18
24
26
28
99
Answers
Answer:
i think that looks right
Step-by-step explanation:
what do you have to do??
The Kelly Students Council sold holiday swags for $10 for a fundraiser.. They spent $90 on materials to make the swags.. If they want to make at least $400,, how many swags do they need to sell? Write and solve the inequality.
Answers
Answer:
the answer would be 49
Step-by-step explanation:
they need to sell 49 to get their money back and make the 400 dollar goal
When completely factored, 8x + 2y - 4
Answers
Answer:...
-4+8x+2xy
Step-by-step explanation:
The distance a vehicle travels can be found by using the formula d = rt, where d is the total distance traveled, r is the rate of speed, and t is the amount of time spent traveling. Grace drives her truck a distance of 80 miles at a steady speed of 50 miles per hour. To the nearest hour, how many hours does she spend driving?
Answers
Answer:
She spends 2 hours driving.
Step-by-step explanation:
The formula given is:
[tex]d = rt[/tex]
In which d is the distance traveled, r is the rate of speed, and t is the amount of time spent traveling.
Grace drives her truck a distance of 80 miles at a steady speed of 50 miles per hour.
This means that [tex]d = 80, r = 50[/tex]
To the nearest hour, how many hours does she spend driving?
We have to find t. So
[tex]d = rt[/tex]
[tex]50t = 80[/tex]
[tex]t = \frac{80}{50}[/tex]
[tex]t = 1.6[/tex]
Rounding to the nearest hour
She spends 2 hours driving.
Mr. Marlon pays minimum wage to the cashiers in his store. If minimum wage is $7.25 per hour, how much does a cashier make who works 40 hours per week?
Answers
Answer:
$290
Step-by-step explanation:
Because 7.25×40=290