Then determine which answer
On a piece of paper, graph f(x) =
(x if x < 1
11 if x 2 1
choice matches the graph you drew.
Answers
The required graph of the function f(x) = {x when x < 1; 1 when x ≥ 1} has been shown.
As mentioned in the question we have to sketch the graph of the function f(x) = {x when x < 1; 1 when x ≥ 1}.
Since the given function is the piece vice function.
The graph of the piece vice function is will be the function y = x for range x < 1, and y = 1 for x greater equal to 1.
Thus, the required graph of the function f(x) = {x when x < 1; 1 when x ≥ 1} has been shown.
Learn more about piece-wise function here:
https://brainly.com/question/16984860
#SPJ7
Related Questions
Which of the following are identities?
Answers
Answer:
A. III only
Step-by-step explanation:
In mathematics, an identity is one of the characteristics of algebraic expressions.
Given variable a and b in an algebraic expression, an identity is defined as an equality that remains the same no matter the values that we choose for either variable a or b.
Identity in mathematics makes it very easy to solve algebraic expressions. The two sides of an identity in an algebra can easily be exchanged for each other.
In the above question, we are given 3 Options.
I) 3(5 + 2x) = 15 + 6x
II) y = x + 3
III) (x² - y²) = (x + y) (x - y)
Option I) 3(5 + 2x) = 15 + 6x
Is showing distributive property in mathematics.
Distributive property is :
a(b + c) = ab + ac
Option I is not an identity , therefore it is wrong.
Option II) y = x + 3 is just an algebraic expression.
Only Option III is an identity. This is because it follows the rule of
(a² - b²) = (a + b) (a - b)
We can prove and confirm this be solving the algebraic expression
(x + y) (x - y)
We expand the bracket
x² - xy +xy - y²
x² - y²
Therefore, option A is the correct option.
What is the distance between the points (4,9) and (14, -11)? Round to the
nearest tenth, if necessary.
Answers
Answer: 22.4
Step-by-step explanation:
The distance formula can be used to solve this problem.
[tex]D=\sqrt{(x_{2}-x_{1} )^2+(y_{2}-y_{1} )^2}[/tex]
We can plug in our x and y values to find the distance.
[tex]D=\sqrt{(14-4)^2+(-11-9)^2}[/tex]
[tex]D=\sqrt{10^2+(-20)^2}[/tex]
[tex]D=\sqrt{100+400}[/tex]
[tex]D=\sqrt{500}[/tex]
[tex]D=22.4[/tex]
Our distance between the points is 22.4.
Owners of a recreation area are filling a small pond with water. Let y represent the total amount of water in the pond (in liters). Let x represent the total number of minutes that water has been added. Suppose that x and y are related by the equation y=400+32x . Answer the questions below. Note that a change can be an increase or a decrease. For an increase, use a positive number. For a decrease, use a negative number. What is the change per minute in the amount of water in the pond? What was the starting amount of water in the pond?
Answers
Answer:
32400Step-by-step explanation:
Lets start by defining the numbers in the equation.
This equation is in slope-intercept form meaning that it is y=mx+b or y = b+mx they are both the same
In slope-intercept form,
m = slope or rateand b = y-intercept
Th equation is y=400+32x so now we know
b=400and m=32For the first question the change per minute is the rate so it is 32.
For the second question the starting amount is the same as the y-intercept so it is 400.
Which statements could he include in his explanation?
Select two options.
Keshawn is asked to compare and contrast the domain
and range for the two functions.
f(x) = 5x
g(x) = 5
The domain of both functions is all real numbers.
The domain of f(x) is x>5.
The domain of g(x) is x > 5.
The range of f(x) is y> 0.
The range of g(x) is y>0.
Answers
Answer:
Option 1: Domain of both functions are all real numbers.
Step-by-step explanation:
f(x) = 5x
Domain: All Real Numbers
Range: All Real Numbers
g(x) = 5
Domain: All Real Numbers
Range: y > 5
Answer: Option 1
Step-by-step explanation:
f(x) = 5x
Domain: All Real Numbers
Range: All Real Numbers
g(x) = 5
Domain: All Real Numbers
Range: y > 5
HELPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answers
Answer:
x=56 degrees interior angle of regular hexagon is 60 degrees
Step-by-step explanation:
The sum of the angles in a hexagon is 720. So the size of an angle in a regular hexagon is 120 degrees.
angle BCA + angle x + angle DCE are equal to 180 degrees when added together.
We can use base angles theorem to find angle DCE : 180-32 = 148 148/2 = 74
Now we know that angle BCA + angle x = 180-74= 106 degrees. Since ABC is equilateral we alread know angle BCA is 60 degrees. Now we can find x from doing 106-60 which equals 56 degrees.
x=56
help will give brainliest
Answers
Answer:
Quadrant 2
Step-by-step explanation:
The answer is quadrant two because the answer is in the form of -x,y. When the x is negative and the y is positive, it is always going to be in quadrant 2. As you can see in the image below, quadrant 1 is going to be all positive, quadrant two is going to be negative then positive, quadrant three is going to be all negative, and quadrant 4 is going to be positive then negative. Use this as a guide for the rest of your question. I hope this helps!
Write the slope-intercept form of the equation that passes through the point (0,-3) and is perpendicular to the line y = 2x - 6 a. y = -2x + 3 b. y = 2x - 3 c. y = -1/2x - 3 d. y = -1/2x + 3
Answers
Answer:
y = (-1/2)x - 3
Step-by-step explanation:
The line y = 2x - 6 has a slope of 2 and so any line perpendicular to it has a slope which is the negative reciprocal of 2: -1/2.
If this perpendicular line passes through (0, -3), then the slope-intercept equation y = mx + b becomes -3 = (-1/2)(0) + b, or -3 = b, and the desired
equation is
y = (-1/2)x - 3
Find the value of x in each case. Give reasons to justify your solutions! e L, M ∈ KN
Answers
Answer:
X=36
Step-by-step explanation:
3x+72=180
3x=180-72
3x=108
x=36
3x-2=16 pls help!!!!!!!
Answers
Answer:
x = 6
Step-by-step explanation:
3x - 2 = 16
3x = 16 + 2
3x = 18
x = 18/3
x = 6
Answer:
x=6
Step-by-step explanation:
3x-2=16
+2 +2
3x = 18
÷3 ÷3
x=6
please help I really need it
1. How much is it estimated that the United States population increased from July 1, 2000 to July 1, 2003? From July 1, 2003 to
July 1, 2007?
Answers
Answer:
2.92%
3.85%
Step-by-step explanation:
The population in 2000 is 282,194,308. The population in 2003 is 290,447,644. This is an increase of 8,253,336.
290,447,644 - 282,194,308 = 8,253,336
To find the percentage in increase, divide the difference by the original number and multiply by 100%. The population increased by 2.92%.
8,253,336/282,194,308 = 0.0292 × 100% = 2.92%
The population in 2003 is 290,447,644. The population in 2007 is 301,621,157. This is an increase of 11,173,513.
301,621,157 - 290,447,644 = 11,173,513
Divide the difference by the original number and multiply by 100%. The population increased by 3.85%.
11,173,513/290,447,644 = 0.0385 × 100% = 3.85%
How do you know if x is on the rhs or the lhs?
Answers
Answer:
Step-by-step explanation:
RHS means on the right hand side
And LHS means on the left hand side
So if x is one the right side of the expression ,it is on the RHS and if it is on the left side of the expression , it is on the LHS
a. 1620
b. 180
c. 38
d. 29
Answers
Answer:
V =1620 pi cm^2
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h
V = pi ( 9)^2 * 20
V =1620 pi cm^2
(NEED HELP ASAP)Determine whether the situation calls for a survey, an observational study, or an experiment. You want to find new car buyers' opinions on the most important options. Question 7 options: survey observational study experiment
Answers
Answer: The answer is "experiment."
Step-by-step explanation:
This procedure is being used in order to validate a hypothesis, particularly in a research study. In the situation above, you have to validate whether a new reading program can increase reading comprehension or not.
The experiment consists of independent, dependent, and controlled variables. The independent variables are the ones being changed by the researcher, while the dependent variables tell whether the changes in the independent variable is significant. The controlled variables are the ones that are constant.
The dependent variable above is reading comprehension, while the new reading program is the independent variable. Examples of controlled variables are the ages of the participants. The age directly affects the reading comprehension, thus it has to be considered.
A factory can work its employees no more than 5 days a week, and no less than 2 days per
week. Create an inequality to represent the range of days an employee can work. Solve the
inequality to determine the range in hours. Show all of your work and explain each of your
steps. Explain your answer.
Answers
Answer: 2 <= X <= 5
Step-by-step explanation:
Given that a factory can work its employees no more than 5 days a week, that is, less than or equal to 5 days.
And no less than 2 days per week. That is, greater than or equal to 2 days.
Let X be the number of days employee can work. Then, according to the first statement, X <= 5 and according to the second statement, X >= 2
An inequality to represent the range of days an employee can work will be
2 <= X <= 5
Therefore, an employee can work for 2 days, 3 days, 4 days and 5 days
please help asap !!!!!!
Answers
Answer:
A.
Step-by-step explanation:
[tex]\sqrt{10} *\sqrt{8}\\ \sqrt{10}*\sqrt{2*4}\\\sqrt{10}*2\sqrt{2}\\2\sqrt{2*10}\\2\sqrt{20}\\ 2\sqrt{4*5} \\4\sqrt{5}[/tex]
Problem situation: Bernie spends $6.50 on ingredients and cups for his lemonade stand. He charges $1.50 for each cup of lemonade. How many cups, x, will Bernie need to sell to make a profit of at least $20? Inequality that represents this situation: 20≤1.50x−6.50 Drag each number to show if it is a solution to both the inequality and the problem situation, to the inequality only, or if it is not a solution.
Answers
Answer:
Answer:
18 cups.
Step-by-step explanation:
We are given that Bernie spends $6.50 on ingredients and cups for his lemonade stand. He charges $1.50 for each cup of lemonade. Inequality that represents this situation: .
To find number of cups x to make a profit of at least $20 we will use our given inequality.
Therefore, in order to make a profit of at least $20 Bernie need to sell 18 cups of lemonade.
Answer:
this the right answer
Step-by-step explanation:
SOLUTION TO BOTH THE INEQUALITY AND THE SITUATION18, 23
SOLUTION TO THE INEQUALITY ONLY17.7, 35.5NOT A SOLUTION 10, -4Please answer this question now
Answers
Answer:
UV and WV
Step-by-step explanation:
Find the area of the shape shown below.
Answers
Answer:8
Step-by-step explanation:area of the triangles is each 2 and the square is 4
Answer:
8 units²
Step-by-step explanation:
we have a trapezium
A = (b+B)×h/2
b = 2
B = 2+2+2 = 6
h = 2
A = (2+6)×2/2 = 8 units²
What is the solution to the system of equations graphed below?
Answers
Answer: C. (1, 4)
Step-by-step explanation:
The point where the two lines meet or intersect is the solution to the system of equations graphed. And in this case, the lines intersect at (1, 4).
Which of the following list of ordered pairs is a function?
Answers
Answer:
C
Step-by-step explanation:
A. (4, 0) and (4, 3) have the same x coordinate (Can't happen in a function).
B. (2, 5) and (2, 1) have the same x coordinate.
C. It passes the vertical line test on a graph and no x is repeated.
D. (2, 3) and (2, 5) share the same x coordinate.
Answer:
c is correct answer.
a function from set A (x coordinate) to set B (y coordinate) a special type of relation defined from set A to set B if every element of set A is mapped with unique element of set B.
What is the name of the geometric term that is described by three points that are not on the same line and has a flat surface that extends without end in all directions? A. point B. ray C. line D. plane
Answers
Answer:
D. plane
Step-by-step explanation:
A. is incorrect because three points don't make a point.
B. is incorrect because all points in a ray are colinear.
C. is incorrect because the three points are not colinear.
D. is correct because, for a given three different points, there is a plane that contains them.
Answer:
D
Step-by-step explanation:
A store sells 3 categories of kitchen items: cups, bowls, and spoons. There are 5 types of cups, 4 types of bowls, and 2 types of spoons. How many different combinations can you buy in this store of: A set of a bowl, cup, and spoon
Answers
What is the explicit formula for this geometric sequence? 64, 16, 4, 1, ...
Answers
Answer:
C.
Step-by-step explanation:
Explicit Formula: an = a1(r)^(n-1)
Our r = 1/4 because to get 64 down to 16 you need to divide by 4 or multiply by 1/4
Our a1 is the 1st term of the sequence, which is 64.
Plug it in: an = 64(1/4)^(n-1)
So our only viable option is C.
Answer:
Option C
Step-by-step explanation:
=> [tex]a_{n} = a_{1} * r^{(n-1)[/tex]
Where a1 = 64, r = 1/4
So,
=> [tex]a_{n} = 64 * (\frac{1}{4}) ^{n-1}[/tex]
Which of the following graphs shows a pair of lines that represents the equations with the solution (4, −1)?
-- FOR ANYONE WITH THIS QUESTION, ITS D --
A coordinate grid is shown from negative 8 to positive 8 on the x axis and also on the y axis. A pair of lines is shown intersecting on ordered pair 1 unit to the right and 4 units down. A coordinate grid is shown from negative 8 to positive 8 on the x axis and also on the y axis. A pair of lines is shown intersecting on ordered pair 4 units to the right and 1 unit down. A coordinate grid is shown from negative 8 to positive 8 on the x axis and also on the y axis. A pair of lines is shown intersecting on ordered pair 4 units to the left and 1 unit up. A coordinate grid is shown from negative 8 to positive 8 on the x axis and also on the y axis. A pair of lines is shown intersecting on ordered pair 1 unit to the left and 4 units up.
Answers
Answer:
Option B.
Step-by-step explanation:
We need to find a pair of lines that represents the equations with the solution (4, −1).
Since (4,-1) is the solution of the equations. It means (4,-1) is the intersection point of lines.
4 on x-coordinate means 4 units right.
-1 on y-coordinate means 1 unit down.
A coordinate grid is shown from negative 8 to positive 8 on the x axis and also on the y axis. A pair of lines is shown intersecting on ordered pair 4 units to the right and 1 unit down.
Therefore, the correct option is B.
Answer:
D
Step-by-step explanation:
The value in the table represent a linear function. What is the common difference of the associated arithmetic sequence? A. 38 B. 1 C. 24 D. 19
Answers
Answer:
D). 19
Step-by-step explanation:
When you subtract
7 - 26 = 19
26 - 45 = 19
45 - 64 = 19
64 - 83 = 19
The common difference is 19
Find an equivalent system of equations for the following system: 3x + 3y = 0 −4x + 4y = −8 3x + 3y = 0 7x − y = 8 3x + 3y = 0 −7x − y = 8 3x + 3y = 0 −7x + 7y = 8 3x + 3y = 0 −4x + 7y = 8
Answers
Answer:
A.
3x + 3y = 0
7x − y = 8
Step-by-step explanation:
Given
3x + 3y = 0
-4x + 4y = -8
Required
Find the equivalent
To solve for the equivalent we simply solve for x and y in the given equation.
Subtract 3x from both sides in 3x + 3y = 0
3x - 3x + 3y = 0 - 3x
3y = -3x
Multiply both sides by ⅓
⅓ * 3y = -3x * ⅓
y = -x
Substitute -x for y in -4x + 4y = -8
-4x + 4(-x) = -8
-4x -4x = -8
-8x = -8
Multiply both sides by -⅛
-⅛ * -8x = -⅛ * -8
x = 1
Recall that y = -x
y = -1
So, we have that x = 1 and y = -1
We'll substitute these values in the list of options;
A.
3x + 3y = 0
7x − y = 8
7(1) - -(1) = 8
7 + 1 = 8 ----- This is equivalent
B.
3x + 3y = 0
−7x − y = 8
-7(1) - (-1) = 8
-7 + 1 = 8
-6 ≠ 8 .... This is not an equivalent expression
C.
3x + 3y = 0
−7x + 7y = 8
-7(1) + 7(-1) = 8
-7 -7 = 8
-14 ≠ 8 .... This is also not an equivalent expression
D.
3x + 3y = 0
-4x + 7y = 8
-4(1) + 7(-1) = 8
-4 -7 = 8
-11 ≠ 8 -_- This is also not an equivalent expression
Answer:
A is the correct one
Step-by-step explanation:
Sara had a baby that weighed 8 pounds at birth. The following graph represents the
average growth in the weight of the baby during the first 6 months of life. Select the
correct statement.
20
Baby's Weight (lb.)
18
16
14
12
10
8
6
2
Time (mo.)
5
6
3
4
Answers
Answer:
need points sorry
Step-by-step explanation:
Answer:
The baby grows at an average of 1.5 pounds each month.
Step-by-step explanation:
I got this correct on my quiz.
Select the function that represents a parabola with vertex at (2,1) and y-intercept (0,3).
Answers
I think its ƒ(x) = 1∕2(x – 2)2 + 1
The function that represents a parabola with vertex at (2,1) and y-intercept (0,3) is f(x) = - x² + 4x - 3.
What is general equations of parabola?
The general equation of a parabola is given by
⇒ y = a(x – h)² + k
A parabola is a U-shaped plane curve where any point is at an equal distance from a fixed point (known as the focus) and from a fixed straight line which is known as the directrix.
According to the question,
⇒ y = a(x – h)² + k
⇒ (h,k) = (2,1)
⇒ y = a(x – 2)² + 1
T find the value of a,
⇒ - 3 = 4a + 1
⇒ a =-1
⇒ y = -1(x – 2)² + 1
⇒ y = -(x² + 4 - 4x) + 1
⇒ y = -x² + 4x - 3
Hence the required function is y = -x² + 4x - 3.
To learn more on equation of parabola click :
https://brainly.com/question/4074088
#SPJ2
Lynn and Lienne tossed a coin 40 times and got heads 24 times. What is the experimental probability of tossing heads using Lynn and Lienne's results?
1/2
3/5
1/40
None of the choices are correct.
Answers
Answer:
it would be 3/5
One day, a person went to a horse racing area. Instead of counting the number of humans and horses, he counted 74 heads and 196 legs. How many humans and horses were there?
Answers
Answer:
Let humans be x and horses be y
Both have one head each,so x+y=74 (1)
Humans have 2 legs each and horses 4 legs each…… so 2x+4y=196 (2)
In first equation x+y=74 then y=74~x (3) ……… .By solving both equations we have as under… x+3y=122 x=122-3y (4)…. Now in equation 4 we put the value of y taken from equation 3 so it will be x=122~3(74-x)…. x=122-222+3x…………. bringing x on one side x-3x=122~222 therefore -2x=~100….. x=50… put the value of x in first equation… x+y=74… 50+y=74… y=74~50…..… y=24… Now it is concluded that Humans are 50 and Horses are 24.. Now you put the values of x & y in 1st and 2nd equation … you will get x+y=74.. 50+24=74………..2x+4y=196…2×50+4×24=196.. it is proved thru equation.