The domain and range of the function f(x) = |x-1| +3 are-
domain: (−∞,∞)range: [3,∞)What is defined as the domain and range of the function?The domain of the a function would be the collection of values that can be plugged into it. This set contains the x values inside a function like f(x). A function's range is the number of values which the function can take.For the given expression for the function;
f(x) = |x-1| +3.
Domain: Unless the expression is undefined, the domain of the representation is all real numbers. Because there is no real number in this case, the expression is undefined.
Interval Notation:(−∞,∞)
Set-Builder Notation:{x| x ∈ R}
Range: The range is indeed the collection of all possible y values. To determine the range, consult the graph.
Interval Notation:[3,∞)
Set-Builder Notation:{y| y ≥ 3}
Thus, the domain and the range of the function is estimated.
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Comparing
Compare and contrast interpolations and extrapolations
based on a scatterplot.
Interpolation is the process of foretelling the value of a function f at a location inside the observed range of values for and. Predicting the value of y when it is outside the range indicated by the points and areas where the values and have been observed is known as extrapolation.
What is meant by scatter plots?The values for two different numerical variables are represented by dots in a scatter plot (also known as a scatter chart or scatter graph). Each dot's location on the horizontal and vertical axes represents a data point's values. To view relationships between variables, utilize scatter plots.
Interpolation is the process of foretelling the value of a function f at a location inside the observed range of values for and. Predicting the value of y when it is outside the range indicated by the points and areas where the values and have been observed is known as extrapolation.
For an independent variable that lies outside the range of our data, we use function to forecast the value of the dependent variable. We extrapolate in this situation.
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Answer:
Sample Answer: An interpolation has a result which lies within the scatterplot’s cluster of data points. An extrapolation lies outside the cluster. An interpolation is more reliable than an extrapolation.
Step-by-step explanation:
Write the equation of the line whose slope is -6 and y intercept is (0, -2)
Answer: y = -6x-2
Step-by-step explanation:
y=mx+b
-2=(-6)(0)+b
b= -2
y=-6x - 2
For the figure shown on the right, find the value of the variable and the measures of the angles.
***
R
(3x+15)°
(x-20)
Answer:
x = 37 , ∠ P = 17° , ∠ Q = 126° , ∠ R = 37°
Step-by-step explanation:
the sum of the 3 angles in Δ PQR = 180°
sum the 3 angles and equate to 180
x + x - 20 + 3x + 15 = 180
5x - 5 = 180 ( add 5 to both sides )
5x = 185 ( divide both sides by 5 )
x = 37
Then
∠ P = x - 20 = 37 - 20 = 17°
∠ Q = 3x + 15 = 3(37) + 15 = 111 + 15 = 126°
∠ R = x = 37°
Create an equivalent expression for 17^-7 • 17^5.
Answer:
Answer is in fraction.--> 1/289.
Step-by-step explanation:
[tex]17^{-7} =17^{-7+5}=17^{-2} =\frac{1}{17^{2} } = \frac{1}{289}[/tex]
Which number line and expression show how to find the distance from 4 to 1? A. A number line from -5 to 5 and two points on -1 and 4. B. A number line from -5 to 5 and two points on 1 and 4. C. A number line from -5 to 5 and two points on -4 and -1. D. A number line from -5 to 5 and two points on -4 and 1.
A number line and expression show how to find the distance from 4 to 1 is: B. A number line from -5 to 5 and two points on 1 and 4.
What is a number line?A number line can be defined as a type of graph with a graduated straight line which contains both positive and negative numbers (numerical values) that are placed at equal intervals along its length.
This ultimately implies that, a number line can be used to determine the difference between two numbers such as 4 and 1. Also, a number line typically increases in numerical value towards the right and decreases in numerical value towards the left.
In this context, we can reasonably infer and logically deduce that number line C shows the distance from 4 to 1.
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Which of the following is NOT equivalent to the formula d=rt? The options are in the picture.
Given
Which of the following is NOT equivalent to the formula d=rt?
Procedure
A. d/r=t is equivalent d=rt
B. r=dt is not equivalent
C. d/t=r is equivalent d=rt
D. d/rt=1 is equivalent d=rt
The answer is option B. r=dt that is NOT equivalent to the formula d=rt
. Calculate the circumference of a circle with a radius of 15 inches. Use 3.14 for pi.
Round answer to the nearest tenth, if necessary.
Answer: 94.2
Step-by-step explanation:
C = 2 πr
C = 2 x 3.14 x 15
C = 30 * 3.14
C = 94.2
Which graph represents the function f(x)=√x+4-2?
Answer:
the top right graph
Step-by-step explanation:
I assume you mean the function is
f(x) = sqrt(x + 4) - 2
because for your function as you wrote it
f(x) = sqrt(x) + 4 - 2 = sqrt(x) + 2
none of the graphs apply.
to find the correct one we look at some specific points.
like x = 0, and when the square root will be 0 (x = -4).
normally we can see the right graph latest here already, but if not, then we have to pick a few more points.
so,
for x = 0 we get
sqrt(0 + 4) - 2 = 2 - 2 = 0
that means
f(0) = 0
now, when we look at the graphs, we see we are already finished. there is only one graph that goes through (0, 0).
the top right graph.
Is r=10q+3 a linear function ?
Answer:
Well, if we consider [tex]r[/tex] as y and [tex]q[/tex] as x.
Step-by-step explanation:
So, typically, a linear function is either represented using function notation
[tex]f(x)=mx+b[/tex]
Or in slope-intercept form
[tex]y=mx+b[/tex]
This question is oddly using the variables r and q in place of y and x. If we replace them to be y and x, it will be a linear equation (because the slope is constantly changing).
But, if you aren't allowed to replace r and q to be y and x, then it isn't a linear function.
1 - 3x = 3x + 1
what does x equal?
Answer:
the value of x is -6
Step-by-step explanation:
1-3x= 3x+1
-3x -3x =1-1
-6x=0
-x=6
x= -6
how do you solve i?
9 = i +7
show your work
Answer: i is just a variable I believe so _ + 7 = 9
So i (<- the variable) would = 2
WHAT IS 483 AS A DECIMAL
Answer: 0.483
Step-by-step explanation: add a zero and a point to the right f it
super genius people. here question mark
[tex]3 \sqrt{5} - 2 \sqrt{7} + \sqrt{9 \times 5} - \sqrt{4 \times 7} \\ = 3 \sqrt{5} - 2 \sqrt{7} + ( \sqrt{9} \times \sqrt{5} ) - ( \sqrt{4} \times \sqrt{7} ) \\ = 3 \sqrt{5} - 2 \sqrt{7} + 3 \sqrt{5} - 2 \sqrt{7} \\ = 3 \sqrt{5} + 3 \sqrt{5} - 2 \sqrt{7} - 2 \sqrt{7} \\ = 6 \sqrt{5} - 4 \sqrt{7} [/tex]
OPTION C IS THE ANSWER.
Answer:
6√5 - 4√7
Step-by-step explanation:
hope it helps!!
1. how do we change a similar fraction?
2. how do we add the similar fraction?
Answer:
You add similar fraction by adding the numerators together but since the denominators are the same u keep them as they are
1. Similar fractions are those which have the same denominator. To change dissimilar fraction to similar fractions, you express them as a equivalent with a common denominator. For example 2/12, 3/12
2. To add similar fraction one should ensure that both the numerator are same and then add the numerator and put that on the denominator. If there is need to simply the fraction then you should first simplify the fraction.
For example:- 1/4+4/4= 5/4
Here as we see that bot number denominator are same so it's addition is done easily
mistaking no linear correlation with no correlation b. the conclusion that correlation implies causality c. the use of data based on averages d. correlation does not imply causality
Answer:
B
Step-by-step explanation:
Your sister has 560 and you
have $120. Your sister is
saving $7 per week and you
are saving $5 per week
How many weeks wild be
until you and your anter
have the same amount of
money? Write an equation
and solve
Answer:
After 30 weeks me and my sister will have same amount of money
Step-by-step explanation:
let the week be x
then
60+7x = 120+5x
2x=60
x=30
MODELING REAL LIFE You can use at most 5 gigabytes of data per month on your cell phone. Your data usage so far for the month is 1.24 gigabytes. What are the possible amounts of data you can use for the remainder of the month?
Answer:3.76 gigabytes
Step-by-step explanation:
You subtract the 5.00 by the 1.24
THIS IS EASY!!!!!!!!!!!!!!!
In ΔFGH, the measure of ∠H=90°, GF = 29, FH = 20, and HG = 21. What is the value of the sine of ∠F to the nearest hundredth?
The value of the sine of ∠F to the nearest hundredth is 0.72
Sine rule
A triangle is a figure that has 3 sides and angles. Given the following parameters;
∠H=90°
GF = 29
FH = 20
HG = 21.
Using the SOH CAH TOA identity;
sin theta = opposite/hypotenuse
sin ∠F = HG/GF
Substitute the given parameters
sin ∠F= 21/29
sin ∠F = 0.72
This gives the required value of sin ∠F to the nearest hundredth
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Mike says the opposite of 5 is –5 and the absolute value of 5 is –5. Is he correct?
Use the drop-down menus to explain your answer.
I don't know what the dropdown menus are, but Mike is half-correct. The opposite of a number is the number with the opposite sign, so the opposite of 5 is -5. But the absolute value of a number is its distance from zero on a number line, and distances can't be negative, so the absolute value of 5 is 5, not -5.
Step by step
Please help
Answer:
its 3 because 4^-n=1/256
We move all terms to the left:
4^-n-(1/256)=0
We add all the numbers together, and all the variables
-n+4^-(+1/256)=0
We add all the numbers together, and all the variables
-1n-(+1/256)=0
We get rid of parentheses
-1n-1/256=0
We multiply all the terms by the denominator
-1n*256-1=0
We multiply elements
-256n-1=0
We move all terms containing n to the left, all other terms to the right
-256n=1
n=1/-256
n=-1/256
-4(-6-b)=1/3(B+16) solve for B ANSWER NOW PELASE.
The simplified solution for B in the equation -4 ( - 6 - b) = 1/3 (B + 16) is B = 56 + 12b
Given,
The equation: - 4 (- 6 - b) = 1/3 (B + 16)
We have to simplify the equation and find B.
Lets simplify:
-4 ( - 6 - b) = 1/3 (B + 16)
Here,
(- 4 × - 6) - 4 × - b = 1/3 × B + 1/3 × 16
24 + 4b = B/3 + 16/3
24 + 4b = (16 + B) / 3
Multiply 3 to both sides:
(24 + 4b) × 3 = (16 + B) × 3 / 3
72 + 12b = 16 + B
Add -16 to both sides:
72 + 12b - 16 = 16 + B - 16
Then,
B = 72 + 12b - 16
B = 56 + 12b
That is, the simplified solution for B in the equation -4 ( - 6 - b) = 1/3 (B + 16) is B = 56 + 12b
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I dont even need help with the question.
[tex]32^{\frac{1}{25}}\cdot 2^x ~~ = ~~8^{\frac{1}{4}}\implies (2^5)^{\frac{1}{25}}\cdot 2^x~~ = ~~(2^3)^{\frac{1}{4}}\implies 2^{\frac{5}{25}}\cdot 2^x~~ = ~~2^{\frac{3}{4}} \\\\\\ \stackrel{same~exponent}{\underset{same~base}{2^{\frac{5}{25}+x}~~ = ~~2^{\frac{3}{4}}}}\implies \cfrac{5}{25}+x~~ = ~~\cfrac{3}{4}\implies \cfrac{1}{5}+x~~ = ~~\cfrac{3}{4}[/tex]
[tex]\stackrel{\textit{multiplying both sides by }\stackrel{LCD}{20}}{20\left( \cfrac{1}{5}+x \right)~~ = ~~20\left( \cfrac{3}{4} \right)}\implies 4+20x~~ = ~~15 \\\\\\ 20x=11\implies {\Large \begin{array}{llll} x=\cfrac{11}{20} \end{array}}[/tex]
Does this look right to anyone? Btw the miles on the 4 year old car are -0.9360
it x/383
i myself i dont even knkw hownto do this brk i just want points so please dont listen to this try you hardest dont give up and keep looking for others but i just want sum piote bro i gotta finish my ezam too man so good luck tho.
The three inside angles (A, B and C) of a right-angled triangle are in the ratio 7/18 / 11 The smallest angle is 35 deg Work out angles A, B and C.
A polygon with the three edges and three vertices is called a triangle. It is one of fundamental geometric shapes. The symbol for a triangle containing the vertices A, B, and C is ABC, measures of the right triangles are 35, 90 and 55.
What is a triangle?A polygon with the three edges and three vertices is called a triangle. It is one of fundamental geometric shapes. The symbol for a triangle containing the vertices A, B, and C is ABC.
In Euclidean geometry, any three points that are not collinear produce a singular triangle and a singular plane (i.e. a two-dimensional Euclidean space). In other words, every triangle is contained in a plane, and there is only one plane that contains that triangle. All the triangles are enclosed in a single plane if all of geometry is the Euclidean plane, however this is no longer true in higher-dimensional Euclidean spaces. Except when otherwise specified, this article discusses the triangles in Euclidean geometry, namely the Euclidean plane.
Which is the smallest angle, which is the right angle, and which is the third angle of the triangle are the three inner angles (A, B, C) of a right angled triangle.
sum of the interior angles of a triangle = 180
ratio 7:18:11
so
7+18+11 = 36
180 / 36 = 5
7 x 5 = 35
18 x 5 = 90
11 x 5 = 55
measures of the right triangles are 35, 90 and 55
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Simplify.
6‾√+36‾√
Responses
182‾√
18 2
436‾‾‾√
4 36
18
18
46‾√
Based on the information illustrated, it should be noted that 6 × ✓3 .will be 36.
How to calculate the value?It should be noted that the information that's illustrated has to do with the square root of numbers. It should be noted that a square root simply means a number that when multiplied by itself will be able to give the original number that's given in the question.
Based on the information, the numbers will be illustrated thus:
6 × ✓36
It should be noted that ✓36 = 6
Therefore, 6 × ✓36
= 6 × 6
= 36
Therefore, the correct option is 36.
Note that the options aren't well written.
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how to ask a girl out on a date
Answer:
1. you can ask directly or indirectly
jeremy and his dad are sharing the responsibilities for their new plumbing company. combined, jeremy and his dad worked at least 85 combined hours last week. they collected a total of more than $1000 by charging $20 per hour. let x
The system of inequalities that models the situation is given as follows:
x + y ≥ 85.20(x + y) ≥ 1000.x ≥ 0.y ≥ 0.Which system of inequalities models the situation?Before we build the inequalities, we have to consider that the variables of the system are given as follows:
Variable x: Number of hours worked by Jeremy.Variable y: Number of hours worked by his dad.Jeremy and his dad worked at least 85 combined hours last week, hence the first inequality is:
x + y ≥ 85.
They collected a total of more than $1000 by charging $20 per hour, hence the second inequality is:
20x + 20y ≥ 1000.
20(x + y) ≥ 1000.
The minimum number of hours that each can work is of 0, that is, they cannot work a negative number of hours, hence the constraints are:
x ≥ 0.y ≥ 0.What is the missing information?The problem is incomplete, and it asks for the system of inequalities that models the situation.
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139c. Find the coordinates of the point of intersection of the lines. y=1-2x and y=x-5
PLS HELP ASAP
The coordinates of the point of intersection is equal to (3, 5).
What is a point of intersection?In Mathematics, a point of intersection can be defined as the location on a graph where two (2) lines intersect, meet, or cross each other, which is typically represented as an ordered pair containing the point, x-axis and y-axis.
Next, we would solve the given equations simultaneously to determine the coordinates of the point of intersection as follows:
y = 1 - 2x
y = x - 5
Re-arranging the equation, we have:
y + 2x = 1
y - x = -5
Subtracting, we have:
3x = 6
x = 6/2
x = 3.
For y-coordinate, we have:
y + 2x = 1
y + 2(3) = 1
y + 6 = 1
y = 1 - 6
y = -5.
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Who will win this madden game?
Answer:
Step-by-step explanation:
The one in blue
Question 1
What is a counterexample for the conjecture?
If the perimeter of a rectangle is 40 units, the area must be at least 1 square unit.
OA) A square with a side length of 10 units has a perimeter of 40 units and an
area of 100 square units.
OB) A rectangle with length 19.99 units and width 0.01 unit has a perimeter of
40 units and an area of 0.1999 square unit.
OC) A rectangle with length 15 units and width 5 units has a perimeter of 40
units and an area of 75 square units.
OD) A rectangle with length 40 units and width 0.0125 unit has a perimeter of
80.025 units and an area of 0.5 square unit.
The counterexample for the conjecture If the perimeter of a rectangle is 40 units, the area must be at least 1 square unit is: A rectangle with length 19.99 units and width 0.01 unit has a perimeter of 40 units and an area of 0.1999 square unit.
What is counterexample?The term counterexample refers to an instance or example that makes the statement false. This is used in logic to check if a statement is true or not. Counter example tend to counter the statement being discussed with valid points.
The question wants to show the relationship that may exist between perimeter and area of a rectangle.
The counterexample provided the dimensions that gave the perimeter which is 40 but failed to give area of 1 square unit
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