Answers
Here the question wants to find the range of function. Your answer is incorrect because you are confusing between range and domain.
What is domain?Domain is the set of all x-values. That means any values that are part of x are subset of domain itself. We can find domain two ways which are
Relation methodGraph methodBut we are not talking about domain as we are looking for the range of function.
What is range?Range is the set of all y-values. In the relations or ordered pairs (x, y). Our y is the range. Range can also be called Co-Domain or Output. But of course, we are not talking about finding range using relation method. We are going to find range by looking at the graph.
The range starts from minimum value to maximum value. If there is another point between minimum value and maximum, just ignore it.
Here is a diagram or easier way to understand.
[tex] \boxed{minimum} \Longrightarrow \boxed{maximum}[/tex]
From the graph, our minimum is -5 and our maximum is -1. Notice that there is another opened point at -2 which we are supposed to ignore. Because both minimum and maximum are closed dots. Hence, we use >= or <= only.
Therefore the solution should be
[tex] - 5 \leqslant y \leqslant - 1[/tex]
Answer[tex] - 5 \leqslant y \leqslant - 1[/tex]
......the correct answer is A
Related Questions
help with 4 please thank you
Answers
Answer:
=3x^2+4
Step-by-step explanation:
Subtract 8 from 12.
3x^2+4
f(x) = 2^x
what is the domain ?
range ? asymptote ? and transformation
Answers
y=2x
Step-by-step explanation:
I dont know what else there is sry
At the Football game they expect that for every 4 people that attend 3 hot dogs will be sold. What is the equation
Answers
Answer:
If [tex]p[/tex] is people and [tex]h[/tex] is hot dogs, the equation is [tex]3h=4p[/tex].
The relation among people who attend and hot dog sold is 4x = 3y.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
At the Football game they expect that for every 4 people that attend 3 hot dogs will be sold.
let the are total x people and y number of hot dogs will be sold.
So, the relation among people who attend and hot dog sold is
4x = 3y
Learn more about equation here:
https://brainly.com/question/29538993
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Ethan uses the function f(x) = 2x2 + 2x + 4 to track the temperature of a substance over 8 hours. You know that f(3) = 28 meaning that the temperature of the substance is 28°C when you plug in a 3 for x. What is the domain of Ethan’s function?
Answers
The domain of the function f(x) = 2x² + 2x + 4 is (-∞, ∞).
What is Quadratic equation?The polynomial equation whose highest degree is two is called a quadratic equation or sometimes just quadratics. It is expressed in the form of:
ax² + bx + c = 0
where x is the unknown variable and a, b and c are the constant terms.
You have the quadratic function
f(x) = 2x² + 2x + 4 ,
and remember that all quadratic functions are parabolas opening at point called the vertex.
Since you can plug any real number in our parabola here, its domain is all the real numbers, and this is true for all the quadratic functions of the form ax² + bx + c = 0.
Thus, in interval notation the domain of the function is (-∞, ∞).
Learn more about Quadratic Equation from;
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Are heart rate and age proportional or non proportional for each method
Answers
Answer:
Yes
Step-by-step explanation:
For example
Doctors have two methods of calculating maximum heart rate. With the first method, maximum heart rate, y, in beats per minute is y=220−x, where x is the person’s age.
Are the graphs of the given equations identical lines parallel lines are lines intersecting on a single point
Answers
11k = -143 I need help with this question
Answers
Answer:
k = -13
Step-by-step explanation:
-143/11 = -13
Answer:
11k = -143
k=-143/11=-13 is a required answer
PLEASE HELP 100 POINTS!!! PLEASE DON'T ANSWER IF YOU DON'T KNOW!!
Alana and Kelsa are training for a marathon. To prepare for this marathon they have been training and tracking their progress periodically.
In the first week of training Alana ran an average of 20 minutes per mile. Later, in week seven of training she ran an average of 14 minutes per mile.
In the first week of training Kelsa ran an average of 15 minutes per mile. Later, in week five of training she ran an average of 13 minutes per mile.
Assuming that Alana and Kelsa continue to train and improve their times at the same rate your task is to determine which week they will have the same average minutes per mile. We will assume that the relationship is linear as they will be training for a maximum of 43 weeks. To complete this task follow the steps below.
1. Determine the equation of a line in standard form that represents Alana’s training progress. Her progress corresponds to the points (1, 20) and (7,14).
2. Determine the equation of a line in standard form that represents Kelsa’s training progress. Her progress corresponds to the points (1, 15) and (5,13)
3. Solve the system of equations (you must show all your work to receive full credit).
4. In which week will Alana and Kelsa have the same average minutes per mile?
5. If Alana and Kelsa continue to train until week 30, what will their times be?
6. Do you believe a linear model best represents the relationship of the time of the runners and the weeks that passed?(Hint: look at question 5). What do you think this says about problems in the real world? Justify your thoughts in 3-4 sentences.
Answers
Answer: Alana's training experience in (weeks, minutes per mile) is (1, 12) and (5, 6).
Kelsa's training experience is (1, 10), (11, 5).
Find:
A linear equation in standard form that describes Alana's experience
A linear equation in standard form that describes Kelsa's experience
A solution to the pair of linear equations
The week in which the number of minutes per mile is the same
Minutes per mile for Alana and Kelsa at week 25
Comment on the use of a linear model in this context
Solution:
Please note that in parts 1 and 2 a "standard form" linear equation has a positive leading coefficient and the numbers have no common factor.
1. A linear equation can be written from two points (x1, y1) and (x2, y2) as ...
... (y2 -y1)(x -x1) -(x2 -x1)(y -y1) = 0
Using the given points in order, this becomes
... (6-12)(x -1) -(5 -1)(y -12) = 0 . . . . above equation with values filled in
... -6x +6 -4y +48 = 0 . . . . . . . . . . eliminate parentheses
... 3x +2y -27 = 0 . . . . . . . . . . . . . divide by -2 to make x-coefficient positive
... 3x +2y = 27 . . . . . . . . . . . . . . . . Alana's training experience
2. In similar fashion, we can write the equation for Kelsa's experience.
... (5 -10)(x -1) -(11 -1)(y -10) = 0
... -5x +5 -10y +100 = 0 . . . . . . eliminate parentheses
... x +2y -21 = 0 . . . . . . . . . . . . . divide by -5
... x +2y = 21 . . . . . . . . . . . . . . . . Kelsa's training experience
3. We note that both equations have the term 2y, so we can subtract the second equation from the first to eliminate that term:
... (3x +2y) -(x +2y) = (27) -(21)
... 2x = 6 . . . . . . . simplify
... x = 3 . . . . . . . . divide by 2
... 3·3 +2y = 27 . . . substitute x=3 into Alana's equation
... 2y = 18 . . . . . . . . subtract 9
... y = 9 . . . . . . . . . . divide by 2
The solution is (weeks, minutes) = (x, y) = (3, 9).
4. The solution of part 3 tells us both have an average time of 9 minutes per mile in week 3 of training.
5. Substituting x=25 into the equations of parts 1 and 2, we get ...
... 3·25 +2y = 27
... y = (27 -75)/2 = -24 . . . . Alana's time per mile at week 25
... 25 + 2y = 21
... y = (21 -25)/2 = -2 . . . . . Kelsa's time per mile at week 25
6. A linear model makes no sense in this context. At some point a linear equation for minutes per mile will always have a value of 0. We know that marathon runners will never have a time of zero minutes per mile. Under the best of conditions, we expect training to improve time toward some asymptotic limit determined by body mechanics. A linear model is completely inappropriate for describing such training effects. Not every real-world problem is appropriately represented by a linear equation.
Step-by-step explanation:
What is the sum of all exterior angles in a polygon?
Answers
A bag is filled with green and blue marbles. There are 43 marbles in the bag. If there are 7 more green
marbles than blue marbles, find the number of green marbles and the number of blue marbles in the bag.
Equation (use x as your variable):
The number of blue marbles is:____
The number of green marbles is:____
Answers
Answer:
Blue marbles: 18
Green marbles: 25
Step-by-step explanation:
First off, we have to define our variables.
g = # of green marbles
b = # of blue marbles
We know two equations:
g + b = 43 and g = b + 7
If you're wondering how I got the first equation, it was because the number of green and blue marbles is 43. For the second equation, we know that there are 7 more green marbles than blue marbles.
Now, we have an equation for the number of green marbles. We can plug that equation into the equation g + b = 43.
So, (b + 7) + b = 43.
When we simplify it, we get 2b + 7 = 43.
We subtract 7 from both sides, which gets us 2b = 36.
Now, b = 36/2.
b = 18.
So, we found out the number of blue marbles that we have. We know that g + b = 43. Now, all we have to do is plug in the number of blue marbles into that equation to find out the number of green marbles.
g + 18 = 43.
g = 43 - 18.
g = 25.
Thus, the number of green marbles we have is 25 and the number of blue marbles is 18.
please help will give brainliest
Answers
Answer:
I think it is C.
Step-by-step explanation:
Answer:
volume is length x width x height, the answer is 160 cubed feet.
Step-by-step explanation:
Length x width x height and bam, there is your answer
Question: The table shows pairs of random digits. The pairs in each group simulate the 5 shots taken by the opponent.
The paired digits 00 to 99 represent 100 shots.
Let 00 to 72 = a shot that is saved. Which digits represent a goal scored? Explain.
Answers
Answer:
ANSWER
Step-by-step explanation:
_______divisible by both 2 and 5
Answers
Step-by-step explanation:
____2__divisible by both 2 and 5
Simplify the expression ((x^3 * y^-3))^4/ 2x^1 * y^4
Answers
= (X^12 * Y^-12)/2x * y^4
Suppose that y varies directly with x and inversely with z, and y = 6 when x = 8 and z = 4. Write the equation that models the relationship. Then find y when x = 2 and z = 3
Answers
Answer:
y=18
Step-by-step explanation:
explanation is in the attachment above
Tuition for one year at Tarleton University is about $14,500. McKenzie wants to attend this university and will save money each month for the next 4 years. Her father will give her $6300 for her first year of tuition, and she received a $3,000 Grant. What is the amount of money McKenzie must save per month to have enough money to pay for her first year of tuition?
Answers
Answer:
5200
Step-by-step explanation:
You know that she needs 14,500 for her first year
she has a total of 3000+6300 so far
To find out how much she needs just take the difference
14500-(3000+6300)=5200
In the equation 5b = 45, b = 10
True or False
Answers
Answer:
False b=9
Step-by-step explanation:
In the equation 5b+45, b is equal to 9
The way we get this answer is by dividing each term by 5 and then simplifying
45/5
45/5=9
Hope this helps :)
If you chose to use substitution to solve this system what should your equation look
like?
y=5x-5
y= -4x+22
Answers
Step-by-step explanation:
y=5x-5
y= -4x+22
1- use y=5x-5 solve for y (here you don't really have to do anything)
This stays the same, Therefore y = 5x-5
2- you will substitute y=5x-5 for y in y= -4x+22. The problem should now look like this:
5x-5= -4x+22
Solving for xnow, with the equation above you will solve for x-
5x-5= -4x+22 (add 4x to both sides)
9x-5= 22 (add 5 to both sides)
9x=27 (divide by 9)
x=3
Solving for yNow that you Know that x=3 you can substitute x=3 for x in y=5x-5. The problem should look like this:
y= 5(3)-5
Now with the equation above you can solve for y
y= 5(3)-5 (multiply 5 by 3)
y= 15-5 (subtract)
y=10
Now you have your answers X=3 Y=10
i hope this helps!
Which would be an equivalent way to write y= 2 - 3x ?
a) y= -3x - 2
b) y= -3x + 2
c) y= 3x - 2
d) y= 3x + 2
Answers
10 + 20 = 2(5 + __)
a
11
b
30
c
10
d
7
Answers
Answer:
C=10. They did distributive property. Hope this helped!
Step-by-step explanation:
Courtney is flying a kite and 125 ft of the string is let out. The angle of elevation between the kite and the ground is 48°. Find the approximate height of the kite.
Answers
Answer:
rrrrrrreeeeeeeeeee
Step-by-step explanation:
jjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj
Tony made $208 for 13 hours of work. At the same rate, how many hours would he have ro work to make $144
Answers
Answer:
9 hours
Step-by-step explanation:
208 / 13 = $16 per hour
144 / 16 = 9 hours
Answer:
9 hours
Step-by-step explanation:
208 divided by 13 is 16. So then u take 16 and divide it by 144, and if you do long division you would get 9. Hopefully this helps
Kimberly's family has a dinner bill of $56.95 and wants to leave a 15% tip for their server. How much will this family spend for the meal plus the tip? 50 points!
Answers
Answer:
This family spend for the meal plus the tip : $56.95 + $8.54 = $65.49
The tip = $56.95 x 15% =$8.54
Step-by-step explanation:
A soda costs $1.25 in a vending machine. A 12-pack of the same soda costs $3.49 at a grocery store. How much do you save by buying a dozen cans at the grocery store?
Answers
Answer:
you would save 11.51 dollars
Step-by-step explanation:
12 cans times the vending machine price of 1.25$= $15
15-3.49=11.51
28, 30, 24, 96, 33
Mean
Range =
Median =
IQR =
Mode =
Variance
Midrange=
Standard Deviation=
Answers
Answer:
I know some .
median : 24
Step-by-step explanation:
Mean : you add all of them up then divide by how many numbers there are .
range : the biggest number minus the smallest number .
median : the middle number . the middle number is 24 .
I know what is mode but the answer is not in there
12 1/2 − 9 1/4
This problem comes from subtract mixed numbers
5 3/4 - 2 5/12
7 1/5 - 3 7/10
11 2/3 - 8 1/2
Answers
12 1/2 = 2 * 12 + 1 = 25/2
9 1/4 = 4 * 9 + 1 = 37/4
Multiply 25/2 by 2/2 to have a common denominator:
25/2 * 2/2 = 50/4
50/4 - 37/4 = 13/4 or 4 1/3
If you know this please answer all fake answers will be reported thanks
Answers
Answer:
50.24 inches
Step-by-step explanation:
[tex]3.14 * 4^{2}[/tex]
3.14 * 16
= 50.24
In a family of 6 children what is the probability there are exactly 4 girls?
Answers
Answer:
sonn 12 laalkznjsnl nalslaonhfj. alallkzhdbb nLaojahdnldl
Please help me, i am honestly confused, its about 1am, and i rlly, rlly need help
Answers
y=2
There is no slope because the y value stays constant. When the table is graphed, it is a horizontal line at 2. I hope this helps!
Please help!! 10-15 much appreciated! :)
Answers
Answer:
Step-by-step explanation: sin β = [tex]\frac{oposite }{hypotenuse}[/tex] ; cos β = [tex]\frac{Adjacent}{Hypotenuse}[/tex]
10) sin [tex]32^{0}[/tex] = [tex]\frac{x}{18}[/tex]
18 sin [tex]32^{0}[/tex] = x
18 (0.53) = x
x= 9.5 units
cos [tex]32^{0}[/tex] = [tex]\frac{y}{18}[/tex]
18 cos [tex]32^{0}[/tex] = y
y = 18 (0.85)
y = 15.3 units
You use the same strategy for the rest of the questions. Feel free to reach out if you have more questions.
