Roger is paid $50 to sell videos of a play to an audience after the play is performed.
He also receives $2 for each video he sells. The equation E=50+2v
E=50+2v
models the amount of money Roger earns selling v videos. The play's audience consists of 230 people.
What is the practical range of the equation?
Question options:
The set of all even integers greater than or equal to 50 and less than or equal to 510
The set of all integers greater than or equal to 50 and less than or equal to 510
The set of all real numbers greater than 0 and less than 230
The set of all real numbers greater than 50
The set of all even integers greater than or equal to 50 and less than or equal to 510
In other words, [tex]0 \le E \le 510[/tex] where E is an even integer.
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Explanation:
The domain is the set of allowed inputs, while the range is the set of allowed outputs. For now, let's focus on the domain.
In this case, the domain is the set of integers between 0 and 230. We're dealing with the set {0,1,2,..., 229, 230} to represent the possible number of people who bought the video.
Let's plug in the smallest item from the domain (v = 0).
E = 50+2v
E = 50+2*0
E = 50+0
E = 50
This matches with the fact Roger gets paid $50 even if he didn't sell anything. This is the flat up front fee he got.
Now let's plug in the largest value for v (230).
E = 50+2v
E = 50+2*230
E = 50+460
E = 510
This tells us that $510 is the most Roger can get from the audience of 230 people. This is assuming that each person buys only one copy.
So we can see that the range of E values spans from $0 to $510.
Furthermore, notice that 2 can be factored from 50+2v to get 2(25+v). This shows that the expression 50+2v is always even. Therefore, we must clarify that we're dealing with the set of even numbers between 0 and 510
In symbolic form, we'd say [tex]0\le E \le 510[/tex] where E is an even integer.
In roster form, the range of possible E values is {0, 2, 4, ..., 506, 508, 510}.
Answer: the answer is A
Question is in picture please help will mark brainliest
[tex]a(n) = ({n + 1})^{2} - 1[/tex]
please i need help ASAP!!!
72% of ______ days is 18 days.
Answer:
25 days
Step-by-step explanation:
lets the blank = x
Convert 72% to decimal: 0.72
0.72x = 18
x = 18/0.72
x = 25
-Chetan K
3. What percent of 150 is 15?
unknown:
Known:.
Answer:
Step-by-step explanation:
Nancy's nut shop sells cashews for $5.30 per pound and peanuts for $2.80. How many pounds of peanuts must be added to 20 pounds of cashews to make a mix that sells for $3.30 per pound?
Answer:
80 pounds
Step-by-step explanation:
let 'p' = pounds of peanuts to be added
20(5.3) + 2.8p = 3.3(20 + p)
106 + 2.8p = 66 + 3.3p
40 = 0.5p
p = 80
i need help again please n thank you :)
Answer:
A solid line.
Step-by-step explanation:
The line would be dashed if it was either a < or > sign, but the line is dashed when it is just a < or > sign.
Step-by-step explanation:
the answer is Dashed Line
Select True or False to correctly classify each inequality.
Inequality True or False ( will give brainliest)
−2≤−2 true or false
6.1<6.1 true or false
5.6≥5.6 true or false
5.6≥5.6 true or false
−4>4 true or false
Answer:
−2≤−2 True
6.1<6.1 False
5.6≥5.6 True
5.6≥5.6 True
−4>4 False
Step-by-step explanation:
Hence, all the statements are true except option (4).
What is the inequality?
An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.
Here given that,
[tex]-2\leq -2[/tex] is true, because [tex]-2[/tex] is equals to each other.
[tex]6.1 < 6.1[/tex] is true, because [tex]6.1[/tex] is equals to each other.
[tex]5.6\geq 5.6[/tex] is true, because [tex]5.6[/tex] is equals to each other.
[tex]5.6\geq 5.6[/tex] is true, because [tex]5.6[/tex] is equals to each other.
[tex]-4 > 4[/tex] is false, because [tex]-4[/tex] is not greater than [tex]4[/tex].
Hence, all the statements are true except option (4).
To know more about the inequality
https://brainly.com/question/12679763
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please help i will give brainliest
Answer:
because AB//DE
so DÊC=BÂC ( 2 straight lines are parallel and have the same internal angle)
because ACD is the outer angle of the triangle ABC so ACD= ABC+BÂC
because DÊC=BÂC
so ACD= ABC+ DÊC
PLs help me 30 points in total
Answer:
5. 11 1/12 or 133/12
6. 8/15
Step-by-step explanation:
5. make them have a common denominator and then add
6. multiply 2/3 * 4/5
3. Using the number line below, list the following numbers in increasing order:
1.1, -1.9, .4, -.6
Determine whether the given is a polynomial in one variable or not:
Polynomial: 4x^2-3x+7
The polynomial is
[tex] {4x}^{2} - 3x + 7[/tex]
Here all the exponents of x are whole numbers, i.e, 2 and 1 are whole numbers.So, this polynomial is a polynomial in one variable.Its variable is x.So, the given polynomial is a polynomial in one variable.
Hope you could get an idea from here.
Doubt clarification - use comment section.
which algebraic expression has like terms?
a. 9n^3-2n+3-4n^2
b. 7n^3+3n-3-6n^2
c. 7n^3+4n-3n^3-5n^3
d. 6n^3-4n^3+6n-5n^3
Answer:
Answer:
safe speed for the larger radius track u= √2 v
Explanation:
The sum of the forces on either side is the same, the only difference is the radius of curvature and speed.
Also given that r_1= smaller radius
r_2= larger radius curve
r_2= 2r_1..............i
let u be the speed of larger radius curve
now, \sum F = \frac{mv^2}{r_1} =\frac{mu^2}{r_2}∑F=
r
1
mv
2
=
r
2
mu
2
................ii
form i and ii we can write
v^2= \frac{1}{2} u^2v
2
=
2
1
u
2
⇒u= √2 v
therefore, safe speed for the larger radius track u= √2 v
PLEASE HELP!!!! write the equation in slope-intercept form of the line that passes through (6,-11) and is perpendicular to the graph of y=-2/3x+12
Answer:
I believe the equation would be: y=3/2x-20
Step-by-step explanation:
This is true because, first you would need to find the slope from the equation, which is -2/3. But, for perpendicular, you would need to make it the exact opposite (which is this case would leave you with a slope of 3/2)
Ex: if you had -3/4, the slope for one that is perpendicular would be 4/3 (exact opposite)
After finding the slope, you take the points (6,-11) and plug it into the equation "y-y1=m(x-x1)"
y-y1=m(x-x1)
y+11=3/2(x-6)
-distribute the 3/2-
y+11=3/2x-18/2
y+11=3/2x-9
-subtract 11 on both sides-
y=3/2x-20
Im not sure if all calculations are correct, but I hope this helps! :)
How i can answer this question, NO LINKS, if you answer correctly i will give u brainliest!
Answer:
55:5 for the second one, 121:11 for the second one
Step-by-step explanation:
Answer:
55 and 121
Step-by-step explanation:
22/2=11
11=1
11*5=55
11*11=121
HELP!!!
‐6x – 1 = 23
Please do not just post the answer please explain how you got the answer. Whoever explains best gets brainliest!
Answer:
-4
Step-by-step explanation:
23+1=24
24/-6=-4
29. ERROR ANALYSIS Describe and correct the error in
rewriting the expression in rational exponent form.
Answer:
eeeeeeeeeeeeeeeeeeeeeeeeeee nose perdon xd
Help me please ******
Answer:
11 is B then 12 is D
Hoped that helped:P
What is 1/3 of 9/5 please help.
yall i need help asap! its due in 1hr!!
Answer: I can help!
The answer is (B)
The answer is (B) because if you take 921 and remove all the other zeros which are just place holders, you get 9 move in the decimal and now there is 9.21 then you see how many zeros there are ans that gives you 3.
For the second one the answer is (A)
If you were to look up how much 2000% is you would get 20% so therefore that is the answer.
I hope you do good!
My apologies if anything is wrong.
Billy kicks a soccer ball off the ground after taking a quick running start. The graph below shows the height of the ball. What do(es) the solution(s) to the function represent?
From the graph, the solutions of the function represents the instants in which the ball hits the ground.
In the graph, we have that:
The x-axis is the time, ins seconds.The y-axis is the height of the ball, in feet.The solutions are x = 1 and x = 5, which represents the instants in which the ball is in the ground.
For a similar problem, in which we find the times in which an object hits the ground, you can check https://brainly.com/question/16840613
HELP!!!
‐9z = ‐207
Please solve this with math explanations and NOT just the answer! Whoever explains first will get brainly!
Answer:
23
Step-by-step explanation:
this is because
the equation is saying -9time something = -207
so
you would -207 divided by -9
which gives you 23
so
z=23
Please answer number 1.
I have to do 2 pages of homework I need this done I have school tomorrow..
Have no idea how to do this. Please help I beg you.
Answer: The two specific conjectures are in the first image, and the two general conjectures are in the second image.
What is the slope?
x: -3, -5, -9
y: 1, 5, 13
Kelly and her mom like to travel to different states. Kelly's mom has visited 32 states. That is 4 times as many states as Kelly has visited.
How many states has Kelly visited?
32 / 4 = 8
When it states that her mom visited x 4 the amount of states as her, divide the amount her mom has visited by 4 and find out how many states Kelly visited.
32 / 4 = 8
So, Kelly has visited 8 states.
On a coordinate plane, a parabola opens up. It goes through (negative 8, negative 2), has a vertex at (negative 5, negative 6.5), goes through (negative 2, negative 2), and has a y-intercept at (0, 6).
Over which interval is the graph of f(x) = one-halfx2 + 5x + 6 increasing?
(–6.5, ∞)
(–5, ∞)
(–∞, –5)
(–∞, –6.5)
Answer:
The top oneStep-by-step explanation:
Hope it helpsFind the product z1z2 in standard form. (Simplify your answer completely.)
z1 = 9 + 3i, z2 = −9 + 3i
Answer:
See image
Step-by-step explanation:
These are "complex numbers" because they have the imaginary number, i, in the expression.
The 9 (and the -9) is the real part and the 3i is the imaginary part. But when you add or subtract, multiply or divide them you can manipulate them just as if the i was a variable (like x or n or y) If you learned to multiply
(x+2)(x+5)
= x^2 + 7x + 10
This problem will work the same way. You may have learned "FOIL" or using a box to multiply two binomials (two-piece things like x+2)
**SUPER IMPORTANT NOTE: i^2 is equal to -1
These particular complex numbers are called conjugates which means they have the same 'pieces' the 9 and the 3i, with only one sign different. So there is a short cut for this problem and the imaginary number falls out and we get a real number answer. This doesn't happen for every question, only when you multiply conjugates, but the method shown here works for multiplying complex numbers all the time.
Casey, Lawrence, and Zach form a team to compete in a bicycle relay race. Casey bikes
of the relay race, Lawrence bikes of the relay race, and Zach bikes the remaining
part of the race. Zach claims he biked the largest portion of the race.
Is Zach correct or incorrect, and why?
Answer:
he is incorrect
Step-by-step explanation:
it's wrong because it doesn't make sense
Alguien me dice que debo hacer aqui porfavor es para un examen
Answer:
Cuando tenga problemas con una pregunta, venga aquí y también lo ayudaremos si no recibe la pregunta, intente omitirla.
Step-by-step explanation:
11.65×0.23 helpppp plssss
Answer:
2.6795
Step-by-step explanation:
Just ask! :)
(✿◡‿◡) HAPPY HOLIDAYS!!!
Answer:
2.6795
Step-by-step explanation: