Answers
Step-by-step explanation:
In the given problem, there are two plans that can be represented with a linear function.
Plan A:A = total monthly cost of Plan A for every x number of movies that Sadie watches per month
Slope: $3 = The additional cost for every x number of movies watched per month
Y-intercept: $21 = The monthly cost of Plan A
Combining these elements together, we can establish the following linear function: A(x) = 3x + 21
Plan B:B = total monthly cost of Plan B for every x number of movies that Sadie watches per month
Slope: $1.50 = The additional cost for every x number of movies watched per month
Y-intercept: $27 = The monthly cost of Plan B
Combining these elements together, we can establish the following linear function: B(x) = 1.5x + 27 or [tex]\displaystyle\mathsf{B(x)\:=\:\frac{3}{2}x\:+\:27}[/tex].
Graphing:Plan A:In order to graph Plan A, start with plotting the y-intercept, (0, 21). The y-intercept is the point on the graph where it crosses the y-axis. Then, use the slope, m = 3 (rise 3, run 1), to plot the other points on the graph.
Plan B:Similarly for Plan B, start with plotting the y-intercept, (0, 27).
Then, use the [tex]\displaystyle\mathsf{slope (m)\:=\:1.5\:or\:\frac{3}{2}}[/tex] (rise 3, run 2), to plot the other points on the graph.
Attached is the graphed linear functions, A(x) and B(x). The two lines intersect at point, (4, 33), which means that the total cost of Plans A and B will be the same at $33.
Interval of movies watched:The attached graph also shows that when 0 ≤ x < 4, Plan A is cheaper than Plan B. The interval notation is: [0, 4).
This implies that when Sadie watches 0 - 4 movies per month, she will pay lesser in Plan A than Plan B.
Related Questions
−4x + 3y =7
5x − 2y =35
What is the solution?
Answers
Answer: x = 39/10 y = 29/5
Answer:
(17,25)
Step-by-step explanation:
To find the solution to the system, solve with elimination.
Equation 1.
−4x + 3y =7
Equation 2.
5x − 2y =35
To cancel out the y-variable, multiply the first equation by 2, and the second equation by 3.
2(−4x + 3y =7)
-8x+6y=14
3(5x − 2y =35)
15x-6y=105
Combine both equations.
-8x+6y=14
15x-6y=105
7x=119
x= 17
Plug in x into the first equation to solve for y.
-8x+6y=14
-8(17)+6y=14
-136+6y=14
6y=150
y=25
Solve the following equations. 2x - 7 = 11
help me please it's urgent
Answers
Answer:
X=9
Step-by-step explanation:
2x-7=11
Add 7 each side
2x - 7 +7 =11 + 7
2x=18
Divide by 2 each side
2x/2=18/2
x=9
Answer:
x = 9
Step-by-step explanation:
2x - 7 = 11
Add 7 to both sides: 2x = 18
Divide by 2: x = 9
It takes 5 minutes to fill an empty aquarium to a depth of
5/8
meters. What is the unit rate in minutes per meter?
Answers
Answer:
1/8 meters per minute
Step-by-step explanation:
5/8 ÷ 5
I hope this helps!!
Help figure this out quick!
Answers
12m + 5n is already factored. They cannot be factored any further because they are both rational numbers that do not have like terms.
Which is equivalent to 243 Superscript two-fifths?
3
6
9
12
Answers
Answer:
The answer is 9 ( C on edge)
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
C on edge
I took the test
create a equation to solve for the mid segment with bases x-6 and 2x-9
Answers
Answer:
Step-by-step explanation:
If AD=DB and AE=EC,
then DE¯¯¯¯¯∥BC¯¯¯¯¯ and DE=12BC .
How many feet does each student climb after 10 steps?
Answers
Pilar climb 6.5 feet and Jake climbed 9.5 feet.
What is slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx
where, m is the slope
Given:
slope of pilar = 3-2/3-1 = 1/2
After 10 steps let the height covered by x.
then, slope= x-2/10-1
1/2 = x-2/ 9
9 = 2x -4
13 = 2x
x= 6.5 feet
now, slope of Jake= 8-5/7-1 = 3/6 = 1/2
After 10 steps let the height covered by y.
then, slope= x-5/10-1
1/2 = y-5/9
2y- 10 = 9
2y= 19
y= 19/2
y= 9.5 feet
Learn more about slope here:
https://brainly.com/question/3605446
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How do you solve : 3x^4 - 11x^3 -x^2 + 19x + 6
You can't use long division in this equation.
Answers
Step-by-step explanation:
This is a polynomial so we can use rational roots Theorem to solve the equation.
The rational roots simply states that the roots of a polynomial, in the form of
[tex]p{x}^{n} + ax {}^{n - 1} + bx {}^{n - 2} .....r {}^{0} [/tex]
The possible roots of the polynomial are the factors of
p/r.
We say r^0 to represent the constant and p to represent the leading coeffceint.
So the rational roots states the possible roots of a polynomial is
the factors of leading coeffceint/ the factors of the constant.
In this case, the polynomial leading coeffecient is 3 and its constant is 6 so we do the factors of 3 divided by the factors of 6.
The factors of 3, are plus or minus 1 and 3. divided by factors of 6 which are plus or minus 1,2,3,6. So our possible roots are
positive or negative (1,1/2, 1/3,1/6, 3, 3/2).
Now, we see which of the following roots will that the polynomial, P will equal zero.
It seems that -1 can work so by definition, (x+1) is the a factor of the polynomial. So now we use synetheic or long division to cancel out that factor.
So our factored version of the polynomial is
[tex](x + 1)(3x {}^{3} - 14 {x}^{2} + 13x + 6)[/tex]
Now can we continue and factor the right side of the factors.
3 also works so x-3 is a factor as well so
[tex](3 {x}^{2} - 5x - 2)(x + 1)(x - 3)[/tex]
Now factor the quadratic using factoring by grouping
[tex]3 {x}^{2} - 5x - 2 = 3 {x}^{2} - 6x + x - 2 = 3x(x - 2) + 1(x - 2) [/tex]
So our factor are
[tex](3x + 1)(x - 2)[/tex]
So in conclusion our factors are
[tex](3x + 1)(x - 2)(x + 1)(x - 3)[/tex]
And our x values are -1/3, 2, -1, and 3.
HELPP EASY MATH FOR Y GUYS IM 5 GRADE
Answers
Answer:
Step-by-step explanation:
for number 9.) 9r-45
i need help on this assignment
Answers
Answer:
the answer is 10
Step-by-step explanation:
by the why want to be friends??
Answer:
10
Step-by-step explanation:
$2,000 loan at 8% for 5 years.
Answers
Answer:
$2,800 = Principle + InterestStep-by-step explanation:
Using PRT/100, let's find the interest.
=> 2,000 x 8 x 5/100=> 20 x 8 x 5=> $800Conclusion:
Therefore, the interest plus principle is 2,000 + 800, which is $2,800.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
The first and second terms of an arithmetic sequence are 50 and 100, respectively.
The first and second terms of a geometric sequence are also 50 and 100,
respectively. The sum of the third terms of these two sequences is???
Answers
What Is the answer to the two questions? 18 points! p.s. Brainliest
Answers
Answer:
Look at other page answer is there
Step-by-step explanation:
please help thx
calculate the value of x
calculate the value of y
calculate the value of z
Answers
What is the range of the relation?
Question 9 options:
{–4, –2,–1, 2}
{–4, 4}
{–3, –2, 0, 2}
{–4, –2, –1, 0, –2}
Answers
Step-by-step explanation:
the range of a relation or function is the interval or set of valid result values (y values).
in contrast to the domain, which is the interval or set of valid x values.
so, as y values we have here
-3, -2, 0, 2
so, the third answer option is correct.
2x - 8 algebraic expression
Answers
Answer:
Because. I need to keep this balanced. I just bring down 2x I didn't do anything with him 8 minus 8 is 0 bring down my equal sign and 20 minus 8 is 12.
Step-by-step explanation:
can you me as brainliest if its right? i need 10000 points and 35 brainliest's to rank up to genius
If a = 5, b = 2, c = 4, then 6ab - 2c =
628
52
2
60
Answers
Answer:
52
Step-by-step explanation:
Where you see the letters substitute with the number.
6(5)(2) - 2(4)
60 - 8
=52
Answer: 52 because if you Where you see the letters substitute with the number.
6(5)(2) - 2(4)
60 - 8
=52
like ponitail151 said.
heyyyy I rlly need help on this homework question its overdue and i need to turn it in :(
Tell whether the given value is a solution of the inequality 5+j>8.
Answers
Answer:
j>3
Step-by-step explanation:
hope this helps sorry if it doesn't have a great rest of your night :)❤
which mapping diagram does NOT represent a function from x > y ?
Answers
Answer:
A
Step-by-step explanation:
In a function, each x value must have a singular y value. This means that one x-value (the values on the left) may not have a line pointing to 2 different y-values (the values on the right). In the first relation, the x-value of 6 points to both 4 and 6. This means that the value repeats, and in a function x-values cannot repeat.
However, y-values can repeat. So, situations like that seen in D, where both the x-values of 2 and 4 equal the y-value of 6 are fine.
Answer:
It's A
Step-by-step explanation:
I REALLY NEED HELP ON THIS
Answers
Answer:
It's D. 53.1°
Step-by-step explanation:
Mikayla designed a survey to determine the number of people expected at opening night of a community theater. The community has about 5,000 members. She selected a sample of the first 25 parents dropping off actors during theater rehearsal. Which best explains Mikayla’s sample? random and biased random and unbiased nonrandom and biased nonrandom and unbiased.
Answers
The sample is based on the first 25 parents dropping off actors during theater rehearsal hence the sampling method is non random and biased.
A non random sample refers to a sampling method that is not based on chance alone. A biased sampling is one in which some members of the population are more likely to be selected thereby excluding the others.
Since the sample is based on the first 25 parents dropping off actors during theater rehearsal, the sampling method is non random and biased.
Learn more: https://brainly.com/question/24842573
Answer:
its nonrandom and biased
Step-by-step explanation:
so you don't have to read the other guys answer
If you can buy four bulbs of elephant garlic for $8 how many can you buy with $32?
Answers
Answer:
16
Step-by-step explanation:
16
Step-by-step explanation:
32 ÷ 8 = 4
4 × 4 = 16
[tex] \\ [/tex]
KemberlyJsolve the equation on the interval [0, 2π).
3(sec x)^2 -4=0
Answers
[tex] \: \: \: \: \: [/tex]
[tex]x = \frac{\pi}{6} , \frac{(k)\pi}{6} , \frac{(5)\pi}{6} , \frac{(k)\pi}{6} [/tex]
refer to the attachmenthope it helpsh(x) = 4x + 3; Find h(1)
Answers
Answer:
h(1) = 7
Step-by-step explanation:
h(x) = 4x + 3
h(1) = 4(1) + 3
h(1) = 4 + 3
h(1) = 7
(-5) - (+2) + (+2) - (-5)
Answers
Answer:
the answer will zero for sure
Answer:
0
Step-by-step explanation:
-+ = --- = ++- = -++ = +-5-2+2+5 = 0
HELP ASAP!
The girls soccer team is trying to raise atleast $600 to pay for new uniforms. They have already raised $240 and are holding a car wash to raise the rest of the money. If they charge $8 per car at the car wash, how many cars will it take to raise the rest of the money for the new uniforms? Choose the inequality that beat represents the real-world situation.
Answers
Answer:
It will take at least 45 cars
Step-by-step explanation:
so to start subtract 240 from 600
you get 360 then divide 8
this leaves you with 45
Select all relations that represent function
Answers
Answer:
The last three are all functions.
The first one is not because by defenition of function, an x value cannot have two y values.
The second one is because a function f(x) is the same thing as y
The third one is because x value does not repeat, and that is all that matters.
The fourth one is a function too since x values do not have two y values
PLEASE HELP!! question in picture
Answers
Answer:
you speak English or Espanol? I dont wanna answeri with the wrong language
plsssssssss answer it
Answers
Answer:
Answer is -7
Step-by-step explanation:
coz if -2 equal only
- answer so answer is
-7
If √2 = 1.414, then the value of 1/2 √16200.
please friends koi to solve kar do.
Answers
Given that √2 = 1.414
The value of (1/2)√(16200)
16200 can be written as
16200 = 2×8100
16200 = 2×2×4050
16200 = 2×2×2×2025
16200 = 2×2×2×5×405
16200 = 2×2×2×5×5×81
16200 = 2×2×2×5×5×3×27
16200 = 2×2×2×5×5×3×3×9
16200 = 2×2×2×5×5×3×3×3×3
√16200 = √(2×2×2×5×5×3×3×3×3)
√16200 = √2×(2×2)×(5×5)×(3×3)×(3×3)
√16200 = 2×5×3×3√2
√16200 = 90√2
Now,
(1/2)√16200
⇛(1/2)×90√2
⇛90√2/2
⇛45√2
⇛45×1.414
⇛63.63
Answer: Hence, value of (1/2)√(16200) is 63.63
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If √2 = 1.414 then the value of 5+√2 / 5-√2 is..
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The value of 1/2√16200 given the value of √2 = 1.414 is 63.63
How to use prime factorization to solve square rootPrime factorization of √16200
= 3 × 3 × 5 × √2
= 90√2
Given:
√2 = 1.4141/2√16200
= 1/2 × 90√2
= 90√2 / 2
= 45√2
= 45 × √2
= 45 × 1.414
= 63.63
Therefore, the value of 1/2√16200 is 63.63
Learn more about prime factorization:
https://brainly.com/question/9523814
