Answers
Both end points are represented by closed circles, it means both points are included.
The graph is restricted between the end points from left to right and between the end point and the highest point from bottom to top.
Domain, the set of possible x- coordinates:
x ∈ [- 2, 6]Range, the set of possible y- coordinates:
y ∈ [- 3, 7]The graph on the rightBoth end points are represented by arrows directed to left and right, it means both ends are indefinite but lines are parallel to the x-axis.
It makes x-values infinite but y-values restricted between the two lines.
Domain, the set of possible x- coordinates:
x ∈ (- ∞, + ∞)Range, the set of possible y- coordinates:
y ∈ [1, 5]Answer:
1. Domain: [-2, 6]
Range: [-3, 7]
2. Domain: (-∞, ∞)
Range: [1, 5]
Step-by-step explanation:
Definitions
Domain: The set of all possible input values (x-values).Range: The set of all possible output values (y-values).Open circle: The value is not included in the interval.Closed circle: The value is included in the interval.Arrow: The function continues indefinitely in that direction.Note: Assume that each square on the given graphs is 1 unit.
Question 1The domain of the function is restricted since the curve has two distince endpoints. As each endpoint is marked by a closed circle, the x-value of the endpoints is included in the domain.
Domain: [-2, 6]The function has a maximum point at (-1, 7) and a minimum point at (6, -3).
Therefore, the range of the function is restricted.
Range: [-3, 7]Question 2As there are arrows at both endpoints of the function, and the function is continuous between the arrowheads, the domain is unrestricted.
Domain: (-∞, ∞)The maximum y-value is y = 5. When x < 1, the line continues indefinitely at y = 5.
The minimum value is y = 1. When x > 1, the line continues indefinitely at y = 1.
Therefore, the range of the function is restricted.
Range: [1, 5]Related Questions
5–3 3/5 ÷ (–3– –3 3/4)
Answers
Answer:
[tex]0.2[/tex]
Step-by-step explanation:
... .. ... .. .
Dwayne wants to redecorate his bedroom and decides to purchase new furniture. The following graph could be used to represent the value of the new bedroom furniture, f(x), after x years.
A graph of an exponential function which decreases through the points 0 comma 1200 and 2 comma 675.
Which of the following statements is/are true based on the graph and the context of the problem?
The y-intercept (0, 1200) represents the initial cost of the bedroom furniture.
The function is negative on its entire domain.
The domain is x ≥ 0 to represent the number of years after the bedroom furniture was purchased.
Answers
The y-intercept (0, 1200) represents the initial cost of the bedroom furniture option (A) is correct.
What is an exponential function?It is defined as a function that rapidly increases and the value of the exponential function is always positive. It denotes with exponent y = a×
where a is a constant and a>1
The exponential function is of the form:
y = ab×
Plug x = 0 and y = 1200
1200 = a
Plug x = 2, y = 675, and a = 1200
675 = 1200(b)²
b = 0.75
y = 1200(0.75)×
y = 1200
Thus, the y-intercept (0, 1200) represents the initial cost of the bedroom furniture option (A) is correct.
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a waste bin is in the shape of a cylinder. the diameter of the base is 20cm and the height is 25cm. what is the volume of the bin. please help me with the answer.
Answers
Answer:
[tex]250\pi[/tex] cm³
Step-by-step explanation:
If the radius is 20 cm, the diameter is 10 cm.
Thus, the volume is [tex]\pi(10^2)(25)=250\pi[/tex] cm³.
. √-100 rewrite each expression using I
Answers
Answer:
?????
Step-by-step explanation:
Question 7 of 10
Here is a table of values for y = f(x).
X
-2 -1 0 1 2 3
f(x) 5 6
7
Mark the statements that are true.
4
8 9 10 11
5 6
12 13
A. The range for f(x) is all real numbers.
B. f(5) = -2
C. The domain for f(x) is the set (-2,-1, 0, 1, 2, 3, 4, 5, 6).
D. f(-1) = 6
Answers
Option (C) is the correct one and the only true statement is
The domain of the function f(x) is { -2, -1, 0, 1, 2, 3, 4, 5, 6 }.
Given, a table of values for y = f(x)
x -2 -1 0 1 2 3 4 5 6
y 7 8 9 10 11 5 6 12 13
We have to find the correct statements,
as the range of the function f(x) is { 4, 8, 9, 10, 11, 5, 6, 12, 13 }
the image of 5 in the function is 6 i.e. f(5) = 6.
The domain of the function f(x) is { -2, -1, 0, 1, 2, 3, 4, 5, 6 }
the image of -1 in the function is 8 i.e. f(-1) = 8.
Hence, only the option (C) is the correct one and the only true statement is
The domain of the function f(x) is { -2, -1, 0, 1, 2, 3, 4, 5, 6 }.
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Which transformation always preserves distance and angle measures?
Answers
Step-by-step explanation:
Rigid motion
Rigid motion – A transformation that preserves distance and angle measure (the shapes are congruent, angles are congruent).
6. A garbage truck collects trash from
68 trash cans. Another truck collects
trash from 39 fewer trash cans. How
many trash cans do the trucks collect
trash from in all?
trash cans
Answers
The siding of a house is 2250 square feet. The siding needs two coats of paint.
1 quart costs 18 dollars and covers 80 square feet;
1 gallon, costs 29 dollars, covers 320 square feet.
A. What is the minimum cost of the paint needed to complete the job?
B. How much paint is left over when you spend the minimum amount?
Answers
Answer: Minimum cost = $264
Paint left over = 7/8 qt
Step-by-step explanation:
6 gal covers 1920 sf (6 gal x 320 sf/gal)
6 gal x $29/gal = $174
2250 sf - 1920 sf = 330 sf
Need 4.125 qt to cover 330 sf, but you can't buy a partial quart
5 qt x $18/qt = $90
Total cost = $174 + $90 = $264
You have 7/8 qt left over
help me please I am in need of this answer too
Answers
When corresponding angles are congruent, the lines are parallel
Congruent AnglesCongruent angles are two or more angles that are identical to each other. Thus, the measure of these angles is equal to each other. The type of angles does not make any difference in the congruence of angles, which means they can be acute, obtuse, exterior, or interior angles. The angles which occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the corresponding angles are equal.
Examples of the corresponding angle are any angles which are formed on the opposite side of the transversal. Now, it should be noted that the transversal can intersect either two parallel line or two non-parallel lines. Thus, corresponding angles can be of two types:
Corresponding angles formed by parallel lines and transversals
Corresponding angles formed by non-parallel lines and transversals
Looking at the image, angle I is congruent to each other. Angle II is congruent with each other as well as angle III.
When corresponding angles are congruent, the lines connecting them must be parallel. This is the only valid or correct options in the task.
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Please help with the following question.
Answers
The probabilities, using the Poisson distribution, are given as follows:
a) Two earthquakes in a year: 0.0446 = 4.46%.
b) No earthquakes in two consecutive months: 0.3679 = 36.79%.
c) No earthquakes in two consecutive months, given that there were no earthquakes in the previous month: 0.3679 = 36.79%.
What is the Poisson distribution?The Poisson distribution is used when we only have the mean in a given interval and the mass function is given as follows:
[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]
The parameters are listed as follows:
x is the number of successes.e = 2.71828 is the Euler number.[tex]\mu[/tex] is the mean in the given interval or range of values of the input parameter.For one year, the mean number of earthquakes is given as follows:
[tex]\mu = 6[/tex]
The probability of exactly two earthquakes in a year is obtained as follows:
[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]
[tex]P(X = 2) = \frac{e^{-6}6^{2}}{(2)!} = 0.0446[/tex]
For two months, the mean is given as follows:
[tex]\mu = 2 \times 6 \times \frac{1}{12} = 1[/tex]
For items b and c, the probabilities are the same, P(X = 0), as the events are independent, hence:
[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]
[tex]P(X = 0) = \frac{e^{-1}1^{0}}{(0)!} = 0.3679[/tex]
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Complete the square to make a perfect square trinomial. Then, write the result as a binomial squared.
d²-3d
Answers
The trinomial and binomial form of the incomplete algebraic expression is [tex]d^{2}[/tex] -3d + 9/4 and [tex](d-\frac{3}{2}) ^{2}[/tex]
What is a perfect square expression?A perfect square is a quadratic expression that factors into two identical binomials.
For example, if you multiply these two identical binomials factors:
(x + 2)(x + 2)
to complete the square in the expression [tex]d^{2}[/tex] -3d, we square the half of the coefficient of d which is -3/2
so the expression becomes,
[tex]d^{2}[/tex] -3d + [tex](\frac{-3}{2}) ^{2}[/tex] = [tex]d^{2}[/tex] -3d +[tex]\frac{9}{4}[/tex]
The Binomial form of the expression [tex]d^{2}[/tex] -3d + [tex](\frac{-3}{2}) ^{2}[/tex]
can be written by take [tex]d^{2}[/tex] term and the constant and putting them in a bracket and squaring
which becomes
[tex](d - \frac{3}{2} )^{2}[/tex]
In conclusion, the trinomial form of the expression is [tex]d^{2}[/tex] -3d +[tex]\frac{9}{4}[/tex] while the Binomial form of the expression is [tex](d - \frac{3}{2} )^{2}[/tex]
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15) Set up an equation and solve using a FULL sentence.
Erlena has $250. She saves $75/month. Jabril has $400. He
saves $50/month. When will they have the same amount?
How much will each of them have at that time?
Answers
By 6 months both of them have same amount
Each of them have $700 at that 6 months.
What is an equation?In French, an equation is defined as having one or more variables, whereas in English, an equation is any well-formed formula consisting of two expressions linked by an equals sign.
Unknowns are the variables for which the equation must be solved, and equation solutions are the values of the unknowns that satisfy the equality.
Given that, Erlena has $250 and she saves $75/month then,
The equation is,
250+75x
And also given that, Jabril has $400 and he saves $50/month then,
The equation is,
400+50x
250+75x=400+50x
150=25x
x=6
By 6 months they have same amount
250+75(6)=700
400+5(6)=700
They both have $700 at that 6 months
Therefore, By 6 months both of them have same amount
Each of them have $700 at that 6 months.
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Turn into vertex form x^2= 9x-20
Answers
The vertex form of the given equation is (x - 9/2)² - 1/4
Vertex form
The general vertex form is written as
y = a (x - h)² + k
Where, a, h, and k are real numbers, where a ≠ 0.
And x and y are variables where (x, y) represents a points.
Given,
Here we have the equation x² = 9x - 20
Now, we have to convert this equation into vertex form.
In order to convert this into vertex form, first we have to rewrite the given equation as follows:
=> x² - 9x + 20 = 0
Here the coefficient of the x is 9, so now we divide this by 2 :
=> 9 ÷ 2 = 9/2
And then we have to square it (9/2) ² then we get the value 81/4.
So we add and subtract 81/4, then we get,
=> x² - 9x + 81/4 - 81/4 + 20 = 0
Now, we have to rewrite it as,
=> [x² - 9x + 81/4] + [-81/4 - 20]
When we simplify it then we get,
=> (x - 9/2)² - 1/4
Therefore, the vertex form of the equation is (x - 9/2)² - 1/4.
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0.721x10 to the second power
Answers
Answer:
72.1
Step-by-step explanation:
It is 10 to the power of 2 because the exponent is 2. The result is a number bigger than the origin or base number because the exponent is positive. We move the decimal two times to the right to arrive at our conclusion:
0.721--> 72.1
therefore, your answer will be 72.1
QUESTION 1: In the clip, Danny Nguyen is all-in with A 7 against an opponent with A K+. The flop is
5 K 5. After this, the next two cards must both be sevens for Nguyen to win. Compute the probability
of this happening. NOTE: There are three sevens left in the deck and it is no longer a 52 card deck
because the cards shown are removed. Show all calculations in determining your answer
Answers
The probability is 0.00332.
From the given question,
Danny Nguyen has A 7 and opponent has A K+.
The flop is : 5 K 5
As there are two players playing the remaining cards in the deck will be (52 - 2 - 2 - 3 -1(burn)) = 44
For Nguyen to win he needs two of the three 7's left in the deck for turn and river.
For turn we have to select a 7 from the three 7's and for river we have to select a 7 of the remaining two 7's.
So the probability is
P = [tex]\frac{\binom{3}{1}}{\binom{43}{1}}*\frac{\binom{2}{1}}{\binom{41}{1}}[/tex]
P = 0.00332
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The vertices of a triangle are p(-1,4) Q (8,-3) and R(2,-6) Name the vertices of R y-x (PQR)
Answers
The reflection of the points P(-1, 4), Q(8, -3) and R(2, -6) across the line y = x are P'(1, -4), Q'(-8, 3) and R'(-2, 6).
First, let us understand the reflection of a point:
The reflection of a point or set of points across the line y = x results in a point or set of points whose coordinates are the interchange of the x-value and the y-value of the original point or set of points.
We are given:
The vertices of a triangle are P(-1, 4), Q(8, -3) and R(2, -6).
We need to find the reflection of the points across the line y = x.
So,
P(-1, 4) = P'(1, -4)
Q(8, -3) = Q'(-8, 3)
R(2, -6) = R'(-2, 6)
Thus, the reflection of the points P(-1, 4), Q(8, -3) and R(2, -6) across the line y = x are P'(1, -4), Q'(-8, 3) and R'(-2, 6).
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What is the value of the expression m - when m = 3?
1/15
13/15
23/15
Answers
The value of the expression when m = 3 is 13/15. So option(2) is correct.
The equation is defined in its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, x + 3 = 4 is an equation, in which x + 3 and 4 are two expressions separated by an 'equal' sign.
Given the expression as shown below:
2/5 m - 1/3
If m is equal to 3, then the expression will be;
2/5(3) - 1/3
6/5 - 1/3
Find the LCM
6/5 - 1/3 = 3(6)-5/15
6/5 - 1/3 = 18-5/15
6/5 - 1/3 = 13/15
Therefore the value of the expression if m = 3 is 13/15
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A car travels 210 kilometres in 3 hours 30 minutes
Calculate the average speed, in km/h, of the car.
Answers
Answer:
70 km/hr
Step-by-step explanation:
please help me solve this question
Answers
The function on the graph can't be a sin, then the correct option is:
y = A*cos(k*x) + C
Which equation matches the graph?
We know that the graph is either of the equation:
y = B*sin(k*x) - C
Or
y = A*cos(k*x) + C
Now, notice that there is a maximum at x = 0
And we also know that:
sin(0) = 0
cos(0) = 1
Then the option with the sin can be discarded, as it does not have a maximum at x = 0.
The correct option is:
y = A*cos(k*x) + C
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Danny’s home cost $350,000. If the federal government program for flood damage insurance covers only $150,000, what percent of the total value does this represent?
Answers
Amount of $150,000 represents 42.86% of $350,000.
What is Equation Modelling?
Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
We have Danny’s home cost $350,000. The federal government program for flood damage insurance covers only $150,000.
Assume that it represents [x%] percent of the total value. Then, we can write -
x = (150000/350000) x 100
x = 42.86%
Therefore, $150,000 represents 42.86% of $350,000.
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What is the image of (3,3)(3,3) after a dilation by a scale factor of 1/3
centered at the origin?
Answers
The image of (3, 3) after dilation by a scale factor of 1/3 centered at the origin will have coordinate (1, 1)
What is dilation?Dilation refers to the transformation that increases or reduces the image formed after the transformation
When the scale factor is greater that 1 the transformation will lead to magnification when the scale factor is less than 1 the image formed is compressed.
The transformation rule fir dilation is (x, y) → (kx, ky)
where k is the scale factor = 1/3
(3, 3) → (1/3 * 3, 1/3 * 3) → (1, 1)
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two buses leave a station at the same time and travel in opposite directions. One bus travels 15 km/h faster than the other. If the two buses are 1004 kilometers apart after 4 hours, what is the rate of each bus?
Answers
The speed of slower bus is 118 km/hr and speed of faster bus is 133 km/hr
What is speed?Speed is a scalar quantity that refers to "how fast an object is moving".
Given that, two buses leave a station at the same time and travel in opposite directions, one bus travels 15 km/h faster than the other, the two buses are 1004 kilometres apart after 4 hours,
Speed = distance/ time
Let the speed of the slower bus be v and the faster bus be (v+15)
According to the question,
vt + (v+15)t = 1004
vt + vt + 15t = 1004
t = 4
4v + 4v + 60 = 1004
8v = 944
v = 118
Hence, The speed of slower bus is 118 km/hr and speed of faster bus is 133 km/hr
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will give brainiest will give brainiest will give brainiest will give brainiest will give brainiest will give brainiest will give brainiest will give brainiest will give brainiest will give brainiest will give brainiest will give brainiest
Answers
Answer:
28.26
Step-by-step explanation:
Determine the perimeter of the right triangle shown.
Answers
Answer:
27
Step-by-step explanation:
I looked at the graph and added 6+6=12 so the bottom is 12 and for the height i added 1+8=9 and then i added another 12 because the bottom is also 12 and divided that by 2 which is 6 so i got 27.
this may not be right but i am hoping that is it!
Have A Great Day!!!
Bike Cost $800 $600 $400 $200 $0 Bike City Comparing Costs Fast BMX Bike World Bike Store Awesome Bikes How much more is the cost at Fast BMX than Bike World?
Answers
Using the mathematical operation of subtraction, the cost at Fast BMX is $200 more than the cost at Bike World.
How is the difference computed?The difference in the cost of bikes can be computed using the mathematical operation of subtraction.
Subtraction operations involve deducting the subtrahend from the minuend to get the result known as the difference.
Bike Stores Prices
Bike City $300
Fast BMX $500
Bike World $300
Awesome Bikes $400
Difference between Fast BMX and Bike World
= $200 ($500 - $300)
Thus, the cost of bikes is higher at Fast BMX than at Bike World by $200.
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A coach can take 40 passengers.how many passenger can be carried by 18 coaches
Answers
C:P
1:40
18:x
Complete the statement. The drawing is not to scale.
Answers
Answer:
The second option so 54 degrees.
Step-by-step explanation:
The line drawn on angle d in both spots indicates it's congruent so if one side is a number the other side is that same number so in this case, it's 54 degrees.
Write an equation for the quadratic graphed below:
x-intercepts: (-3,0) and (1,0); y-intercept: (0,-3)
Answers
Answer:
y = (x + 3)(x - 1) or y = x² + 2x - 3Step-by-step explanation:
Quadratic equation:
y = a(x - p)(x - q), where a - constant, p and q - x-intercepts.Substitute p and q:
y = a(x - (-3))(x - 1)y = a(x + 3)(x - 1)Find the value of a, using the y-intercept:
- 3 = a(0 + 3)(0 - 1)- 3 = a*3*(-1)-3 = - 3aa = 1The equation is:
y = (x + 3)(x - 1)or
y = x² + 2x - 3Make the subject of
X
16
=
р
Answers
Answer: x= p16
Step-by-step explanation:
Solve the equation without using a calculator
[tex]\displaystyle\\3^\frac{x+2}{3x-4}-2\cdot3^\frac{5x-10}{3x-4}=7[/tex]
Answers
Answer:
x = 2=========================
Rewrite(5x - 10)/(3x - 4) = (6x - 8 - x - 2)/(3x - 4) = 2 - (x + 2)/(3x - 4)Substitute[tex]3^{(x + 2)/(3x - 4)} = t[/tex]New equationt - 2·9/t = 7t - 18/t = 7t² - 7t - 18 = 0t² - 9t + 2t - 18 = 0t(t - 9) + 2(t - 9) = 0(t - 9)(t + 2) = 0t - 9 = 0 and t + 2 = 0t = 9 and t = - 2 (excluded as the power of 3 can't be negative)Substitute back[tex]3^{(x + 2)/(3x - 4)} = 9[/tex][tex]3^{(x + 2)/(3x - 4)} = 3^2[/tex][tex](x + 2)/(3x - 4) = 2[/tex][tex]x + 2 = 6x - 8[/tex][tex]6x - x = 2 + 8[/tex][tex]5x = 10[/tex][tex]x = 2[/tex]