Answers
Answer:
[tex]f(x) = \left \{ {{x + 3} \quad \text{if} \ -3 \leq x < -1\atop {5} \quad \text{if} \ -1 \leq x \leq1} \right.[/tex]
Step-by-step explanation:
You can find the first function if you know the general form of a line:
[tex]y = mx + b[/tex]
where [tex]m[/tex] is the slope and [tex]b[/tex] the intercept point with the [tex]y[/tex]-axis.
So in the first case the slope is 1 because the next formula
[tex]m = \frac{\Delta y}{\Delta x} = \frac{y_2 - y_1}{x_2 - x_1} = \frac{2-0}{-1+3} = 1[/tex]
And you can find the interception point if extend the line, then in our case is 3.
So the function is:
[tex]f(x) = x + 5[/tex]
In the other case is constant function that's mean that the function has the next form
[tex]f(x) = k[/tex]
Where [tex]k[/tex] is a constant.
So you only have to observe what is the value for each point in the interval, in this occasion is 5.
So the final answer is:
[tex]f(x) = \left \{ {{x + 3} \quad \text{if} \ -3 \leq x < -1\atop {5} \quad \text{if} \ -1 \leq x \leq1} \right.[/tex]
Related Questions
it is the onion of set of whole numbers and the opposition of the set counting or natural numbers A. integers B. inverse C. Positive D. Negative
Answers
integers is your answer
Which of the expressions are equivalent to the one below? Check all that apply. (8 + 3) 4
Answers
Answer:
Step-by-step explanation:
would be nice to have a look at the options.
Here's a few I could come up with
44
32 + 12
8(4) + 3(4)
11(4)
Five more than the difference of two numbers
Answers
Answer: (x - y) + 5
Step-by-step explanation: Difference of two numbers means subtraction so we know its x - y. Then, we need five more so addition which means (x - y) + 5.
Would appreciate brainly <3
help help help help!
Answers
Answer:
Is a give number 4 5 is a reflexive property
someone please please help me
Answers
Answer:
11
Step-by-step explanation:
Complete the Statement
Answers
triangle JKL is congruent to triangle TRS
Find the equation of the line passing through the points 7,2 and 9,1
Answers
9514 1404 393
Answer:
y = -1/2x +11/2
Step-by-step explanation:
The slope of the line is ...
m = (y2 -y1)/(x2 -x1)
m = (1 -2)/(9 -7) = -1/2
The y-intercept is ...
b = y -mx
b = 2 -(-1/2)(7) = 11/2
Then the slope-intercept equation is ...
y = -1/2x +11/2
_____
Alternative solution
A general form equation for the line can be ...
(y1 -y2)(x -x1) -(x1 -x2)(y -y1) = 0
(2 -1)(x -7) -(7 -9)(y -2) = 0
x-7 +2y -4 = 0
x +2y -11 = 0 . . . . . general form equation
x +2y = 11 . . . . . . . standard form equation
Note that we want the x-coefficient to be positive, so we chose the order of the points to make that be the case.
y=7x+7 convert in standard form
Answers
Answer:
y/7=x+1
hope this helps you!!
what is the radius and diameter of the following circle ? 5.1 cm ?
Answers
Find the sum of this problem.
Answers
Answer:
34
Step-by-step explanation:
i think
True or false? The point (−5, 0) lies on the y-axis.
Answers
\well the answrnist that brcause if u think it guys up
Multiply or divide. write fractions in simplest form.
2/3 * (-2 1/4) * (-1 1/2)
i really need help with this problem! i will mark you brainliest :)
Answers
Step-by-step explanation:
Okay so, let's turn these into decimals first (rounded to nearest 2 thousandths).
2/3 = 0.66666 (repeating), to the nearest 2 thousandths would be 0.66.
-2 1/4 = -9/4 = -2.25
-1 1/2 = -3/2 = -1.5
then we set up the problem
0.66 × -2.25 × -1.5 = 2.2275 rounded 2.22 as an improper fraction 111/50 and that cannot be simplified any smaller.
write this number in expanded form three hundred thirty nine thousand six
Answers
Answer:
339,006
Step-by-step explanation: i think
Answer:
300,000 + 30,000 + 9,000 + 6
Step-by-step explanation:
hope this helps. . . <3
good luck! UwU
in a supermarket, credit card purchases have an additional charge of 8% of the purchase made. If I bought 2 suitcases that cost s / .165.60 each and paid with a credit card, how much do I have to pay?
Answers
9514 1404 393
Answer:
357.70
Step-by-step explanation:
The final cost will be ...
(number of suitcases) × (cost per suitcase) × (1 +8%)
= 2(165.60)(1.08) = 357.70
3a) A box contains trays of melons, There are 15 melons in a tray. There are 3 trays in a box. A supermarket sells 40 boxes of melons. How many melons does the supermarket sell?
Answers
Answer:
1,800
Step-by-step explanation:
15 x 3 x 40 = 1,800
( A box)
what ordered pair is a solution of 3x - y = 13
Answers
Answer:
x=6,. y=5. is the answer
How do you round 245.456456 to the nearest hundredth?
Answers
Answer: 245.46
Step-by-step explanation:
Hundredth is the 2nd number after the decimal so in this, it would be 245.456456. I'd assume you already know how to round.
What is the unit rate of km per hour in the example below?
You can walk 7/10 km in 1/4 hours.
Answers
Maybe 28kms in 1 hour
Or 2,8kms because 7/10 is 0,7km
What is the value of x in the diagram below? 49 14 2 O A. 7 OB. 8 O C. 9 D. 6
Answers
Answer:
just answered
Step-by-step explanation:
The value of x in the given diagram is 7 because the two triangles are similar
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
The given two triangle are similar
Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .
Let us form a proportional equation to find x
49/x=14/2
49/x=7
49/7=x
We get x=7
Hence, the value of x in the given diagram is 7 because the two triangles are similar
To learn more on Triangles click:
https://brainly.com/question/2773823
#SPJ5
Translate triangle ABC using the vector ( 6, - 2).
Answers
Answer:
Move each vertex 6 to the right, and 2 to the bottom, rest of the triangle will come automatically. It should look similar to the one I drew.
After translation vertices of triangle ABC are (0, 3), (7, 3) and (6, -2).
What is the translation?A translation in math moves a shape left or right and/or up or down. The translated shapes look exactly the same size as the original shape, and hence the shapes are congruent to each other. They just have been shifted in one or more directions.
The given vector is (6, -2).
From the given triangle vertices are (-6, 1), (1, 1) and (0, -4)
From the given vector, it shows 6 units right shift and 2 unit down shift.
Here, vertices of image are
(-6, 1)→(-6+6, 1-(-2))→(0, 3)
(1, 1)→(1+6, 1-(-2))→(7, 3)
(0, -4)→(0+6, -4-(-2))→(6, -2)
Hence, after translation vertices of triangle ABC are (0, 3), (7, 3) and (6, -2).
To learn more about the translation visit:
https://brainly.com/question/17485121.
#SPJ2
41=12d-7 what is the value of d in this equation
Answers
Answer:
d= 4
Step-by-step explanation:
A square hole 7.50 cm along each side is cut in a sheet of copper. (a) Calculate the change in the area of this hole resulting when the temperature of the sheet is increased by 49.0 K. cm2(b) Does this change represent an increase or a decrease in the area enclosed by the hole
Answers
Answer:
it increases the the hole
Step-by-step explanation:
Find the difference between 11/5 and 5/2 on a number line
Answers
9514 1404 393
Answer:
-3/10
Step-by-step explanation:
11/5 plots on a number line at 2.2
5/2 plots on a number line at 2.5
The distance between these points is 2.5 -2.2 = 0.3.
__
If you say the difference is 11/5 -5/2, then that is 2.2 -2.5 = -0.3 = -3/10.
Rewrite without parentheses and simplify.
(check my page and answer my other questions if u can please it would mean alot)
Answers
Answer:
x² +14x +49
Step-by-step explanation:
Use the distributive property and collect terms.
(x +7)² = (x +7)(x +7)
= x(x +7) +7(x +7)
= x² +7x +7x +49
= x² +14x +49
Judy is looking to buy a textbook. The book normally costs $75.82, but it is on sale for 35% below
the regular cost. How much will the book cost before taxes if Judy is to buy it while it is on sale?
Round to the nearest cent.
Answers
Answer:
$49.28 is the sale cost.
Step-by-step explanation:
0.35 x 75.82 = 26.537
75.82 - 26.537
= 49.283 and round
The selling cost of the book will be equal to $49.28.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Judy is looking to buy a textbook. The book normally costs $75.82, but it is on sale for 35% below the regular cost.
The selling cost of the book will be calculated as,
Selling Cost = 0.35 x 75.82 = 26.537
Selling Cost = 75.82 - 26.537
Selling Cost = 49.283
To know more about an expression follow
https://brainly.com/question/2222681
#SPJ2
damon swam 0.68 km in the pool for each day for 2 weeks how many meters did damon swim in those 2 weeks
Answers
Answer:
10,080,000 (because 720×14, the total number of days he swam in two
Step-by-step explanation:
There are 36 green cups in a store display. The number of green cups is 23 of all the cups in the display.
What is the total number of cups in the display?
Enter your answer in the box.
___cups
Answers
Answer:
54
Step-by-step explanation:
The total number of green cups in the display will be equal to 54.
What are arithmetic operations?The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.
They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.
As per the given information in the question,
Total number of green cups in display = 36
The number of green cups is 2/3 of all the cups in the display.
Let the total number of green cups in the store be X.
Then, the equation as per the statement will be,
2/3 of X = 36
X = 36 × 3/2
X = 54 cups.
To know more about arithmetic operations:
https://brainly.com/question/13585407
#SPJ2
regal furniture company allocates its indirect salaries of $22,500 on the basis of sales. Determine the indirect salaries allocated to Departments 1 and 2 using the following information.
Answers
Answer:
$15750 and $6750Step-by-step explanation:
Revenue share of Dept. 1:
182000/260000*100% = 70%Revenue share of Dept. 2:
100% - 70% = 30%Allocate the indirect salary with same ratio.
Dept. 1:
22500*70/100 = 15750Dept. 2:
22500 - 15750 = 6750Find the difference between 11/5 and 5/2 on a number line
Answers
Answer:
Step-by-step explanation:
number line:
11 5
_ = 22/10 _ = 25/10
5 2
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
____________________________________________________________
10 1010 10 1010 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10
5/2 is 3/10's bigger than 11/5
What is
[tex] \frac{4}{60} [/tex]
simplified?
Answers
Answer:
1/15
Step-by-step explanation:
4/60
Divide the top and bottom by 4
4/4 =1
60/4= 15
1/15
