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
Statement 1: If √12 - √8 = a, then √12 + √8 is equal to 4/a.
Statement 2: a + √b is called the rationalizing factor of c + √d if their product is 1.
• Statement 1 is true; Statement 2 is true; Statement 2 is the correct explanation of Statement 1.
• Statement 1 is true; Statement 2 is true; 2 is not the correct explanation of Statement 1.
• Statement 1 is true; Statement 2 is false.
• Statement 1 is false; Statement 2 is true.
It is an assertion-reasoning question. Please help me to solve this. Need step-by-step explanation as well. Thank you.
Answers
Answer:
Statement 1 is true; Statement 2 is false.
Step-by-step explanation:
Statement 1:
√12 - √8 = a
Let's use the given value of √12 + √8 ,that is, 4/ a.
If we multiply both the expressions such that their Left Hand Sides get multiplies together and Right Hand Sides together:
=> (√12- √8)(√12 + √8) = a × 4/a
On the LHS,
identity used:
(a-b)(a+b) = a²-b²
On the RHS:
a gets canceled due to its presence in both the numerator as well as the denominator.
=> 12 - 8 = 4
=> 4 = 4
That's it!
We got LHS = RHS, that approves the existence of the given statement.
___________________
Statement 2:
"a + √b is called the rationalizing factor of c + √d if their product is 1"
That's not entirely right!
The correct statement would be:
" a + √b is called the rationalizing factor of c + √d if their product is a rational number ."
Since, rationalizing has got nothing to do with 1, (1 is just another rational number), even if we get 2 by their multiplication, it will be called rationalizing as long as we're getting a rational number.
___________________
Answer:
Hence, I'd say:
Statement 1 is correct but Statement 2 isn't.
That's the third option.
if f(x)= 3x+1 and g(x)= x^2-6 FIND (f+g)(x)
Answers
Answer:
-x² + 3x + 7
Step-by-step explanation:
• f(x) = 3x + 1
• g(x) = x² - 6
Then,
According to th' question :-
(f - g)(x) = f(x) - g(x)
= 3x + 1 - (x² - 6)
= 3x + 1 - x² + 6
= -x² + 3x + 7
The thermostat for a house is set to 68 °F, but the actual temperature may vary
by as much as 2 °F. What is the range of possible temperatures?
Answers
Answer:
the range is 66 to 70 since it can be 2 degrees in either direction
The range of possible temperatures is 66 to 70°F.
It is required to find the range of possible temperatures.
What is Temperature?The degree or intensity of heat present in a substance or object, especially as expressed according to a comparative scale and shown by a thermometer or perceived by touch.
Given:
The thermostat for a house is set to 68 °F, but the actual temperature may vary by as much as 2 °F.
According to given question we have,
∴The range is 66 to 70 °F since it can be 2 degrees in either direction.
Therefore, the range of possible temperatures is 66 to 70°F.
Learn more about temperature here:
https://brainly.com/question/11464844
#SPJ2
is this correct ? if not what’s the correct answer?
Answers
It would be B. X is on a right angle which is 90 degrees and you must take into thinking that all three angles must be 180. Since it is a mirrored shape, corner E is the same as corner C which is 46.
This adds up to 136 and you must subtract 136 from 180 and is 44.
PLEASE NO LINKS AND NO NEGATIVITY!!!
Answers
Answer:
-2x + 8
Step-by-step explanation:
32x + 8 - 34x
(32 - 34)x + 8
-2x + 8
-2x + 8
Explanation:-=> 32x + 8 - 34x
=> (32 - 34)x + 8
=> -2x + 8
While working for a lawn service company, Austin figures he earns $5 for edging 20 feet of curb. If he edges 50 feet of curb at the same rate, how much will Austin earn?
Power Lawn Edger
x=13 1/2 or 13.50$
x=12 1/2 or $12.50
x=14 3/4 or 14.75
x=12 or 1/4 or $12.25
Answers
Hassan picked 5 pounds of strawberries. That afternoon, Hassan's sister ate 1/4 of the strawberries. How many pounds of strawberries did Hassan's sister eat? Write your answer as a fraction or as a whole or mixed number.PLZZZZZZZ HELP
Answers
Answer:
Hassan's sister ate 5/4 pounds of strawberries.
Step-by-step explanation:
=> 5 x 1/4=> 5/4Conclusion:
Therefore, Hassan's sister ate 5/4 pounds of strawberries.
Hoped this helped
[tex]BrainiacUser1357[/tex]
i need help with this question, thx to anyone who helps! :)
Answers
Answer:
Golf balls
Step-by-step explanation:
There is a much higher chance of her picking an even number in the golf ball tank because there are way more golf balls with even numbers. (2, 4, 6, 8, etc.)
When looking at a graph, explain how you would know two variables were not proportional.
Answers
Answer:
a straight line that does not go through the origin.
Need help desperately
Answers
Answer:
a) 4cd²
b) 3a²b³
Step-by-step explanation:
a) 8c⁴d⁵/2c³d³
1: you would divide the 8 by 2
2: subtract the exponents on c so it would be 4-3 = 1
3: subtract the exponents on d so it would br 5-3 = 2
4: put it all together so it would be 4c¹d² but you dont need the 1 above c
b) 1: divide 9 by 3
2: subtract exponents on a so it would be 3-1 = 2
3: subtract exponents on b so it would be 5-2 = 3
4: put it all together so it would be 3a²b³
hope this helped!! :)
Answer:
a. 4cd² b. 3a²b³
Step-by-step explanation:
[tex]\frac{8c^4d^5}{2c^3d^3}[/tex]
= [tex]\frac{8}{2} ( \frac{c^4}{c^3} )(\frac{d^5}{d^3})[/tex]
= [tex]\frac{4}{1} (\frac{c}{1}) (\frac{d^2}{1} )[/tex] Reduce number. Substract exponent largest power
smallest power
= 4cd²
b. [tex]\frac{9a^3b^5}{3ab^2}[/tex]
[tex]\frac{9}{3} (\frac{a^3}{a} ) (\frac{b^5}{b^2} )[/tex]
[tex]\frac{3}{1} (\frac{a^2}{1}) (\frac{b^3}{1} )[/tex] Reduce number. Substract exponent largest power
smallest power
= 3a²b³
Using pennies, nickels, and dimes, how many
ways can you make 16 cents?
Answers
Answer:
16 pennies, one dime and 1 nickel and 1 penny, 3 nickels and 1 penny.
Step-by-step explanation:
Answer:
1 dime, 1 nickel, 1 penny
Step-by-step explanation:
1 dime= 10 cents
1 nickel= 5 cents
1 penny= 1 cent
What does geometric progression mean?
Answers
Step-by-step explanation:
[tex] \large\tt\underline\blue{a} \underline\pink{n} \underline\green{s} \underline\red{w}\underline \purple{e} \underline\orange{r}[/tex]
A geometric progression is a sequence in which any element after the first is obtained by multiplying the preceding element by a constant called the common ratio which is denoted by r.
Which equation represents a line which is parallel to the line y = -7/2x-3
Answers
You do not have the options listed, but I will tell you what the line needs:
[] A parallel line will need the same slope.
- The slope is our m in y = mx + b
[] What will this be for our problem:
- [tex]y=\frac{-7}{2}x-3[/tex]
- Our slope is [tex]\frac{-7}{2}[/tex]
[] So what will the line look like:
- [tex]y=\frac{-7}{2}x +?[/tex]
- Since you do not have the options listed, I cannot tell you the answer, but I can tell you the answer will have a slope of [tex]\frac{-7}{2}[/tex]
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Admission to the gymnastics meet was $2.40 for adults and $1.25 for students. If 540
tickets were sold for a total of $934.90, how many tickets of each were sold? (i’ll give brainliest just answer within the next 15 mins pls!!)
Answers
Answer:
hi friends I need help with the following me
(4+14) divided by 9 ???????
Answers
Answer:
2
Step-by-step explanation:
4+14=18
18/9=2
4th root of 1/16 as a fraction
Answers
Answer:
1/2, or 0.5
Step-by-step explanation:
Bianca, Kelly, and Sara are running a race. They
complete the race in 2.35 hours. If the race was
51.7 miles, calculate their average speed.
Helppppppppp
Answers
Answer:
22 miles per hour
Step-by-step explanation:
1. Formula: speed = distance/time
2. s = 51.7 mi ÷ 2.35 hrs
3. s = 22 miles per hour
The Hayes family and the Cook family each used their sprinklers last summer. The water output rate for the Hayes family's sprinkler was 30L per hour. The water output rate for the Cook family's sprinkler was 20L per hour. The families used their sprinklers for a combined total of 55 hours, resulting in a total water output of 1450L. How long was each sprinkler used?
Answers
Answer:
30 hours of use by Washington family
35 hours of use by Choi family
Step-by-step explanation:
What is the value of the sin each of the following 5607 506 702 803 562
Answers
Answer:
sin(5607) = 0.67641680533
sin(506) = -0.202179403335
sin(702) = -0.989367016834
sin(803) = -0.948263002181
sin(562) = 0.33827666045
Step-by-step explanation:
put sin into a calculator and then put in the number
hope this helps! :)
Which expression has the greatest value when c = 7? 12 - 2C 0R C - 5
please show working
Answers
If c = 7, then
12 - 2c
= 12 - 2(7)
= 12 - 14
= -2
c - 5
= (7) - 5
= 2
=》+2 > -2.
So, c - 5 has greater value than 12 - 2c, if c = 7.
______
Hope it helps ⚜
Jamal finds some dimes and quarters in his change purse. How much money (in dollars) does he have if he has 9 dimes and 4 quarters? How much money (in dollars) does he have if he has xx dimes and yy quarters?
Answers
Answer:
$1.90
10xx+25yy cents
Step-by-step explanation:
9 dimes (10 cents each) = 90 cents = 0.9 dollars
4 quarters (25 cents each) = 100 cents = 1 dollar
Making $1.90
xx dimes (10 cents each) = 10xx cents
yy quarters (25 cents each) = 25yy cents
Making 10xx+25yy cents in total I believe..
Hope this helps :)
Over 27.5 days, a lake's water level changed by an average of −1.37 centimeters each day.
What was the total change in the water level?
Enter your answer as a decimal in the box.
Answers
Answer:
-37.675
Step-by-step explanation:
27.5 X -1.37 = -37.675
Which is the graph of y = [x]-2?
Answers
Answer:
Step-by-step explanation:
number 1
Which function has only one x-intercept at (−6, 0)?
f(x) = x(x − 6)
f(x) = (x − 6)(x − 6)
f(x) = (x + 6)(x − 6)
f(x) = (x + 6)(x + 6)
Answers
Answer:
D: f(x) = (x+6)(x+6)
Step-by-step explanation:
The function has a multiplicity of 2, meaning the factor appears twice. So, x=-6 will be the only x-intercept.
find the zeros of the function f(x) = (x+3)^2-4=0
Answers
Answer:
[tex]x=-1[/tex] and [tex]x=-5[/tex]
Step-by-step explanation:
[tex]f(x)=(x+3)^2-4[/tex]
[tex]0=(x+3)^2-4[/tex]
[tex]0=(x^2+6x+9)-4[/tex]
[tex]0=x^2+6x+5[/tex]
[tex]0=(x+1)(x+5)[/tex]
[tex]x=-1[/tex] and [tex]x=-5[/tex]
Answer:
[tex]x=-1,\:x=-5[/tex]
Step-by-step explanation:
Solve the equation:
[tex]f(x)=\left(x+3\right)^2-4=0[/tex]
[tex]\left(x+3\right)^2-4=0[/tex]
[tex]\mathrm{Add\:}4\mathrm{\:to\:both\:sides}[/tex]
[tex]\left(x+3\right)^2-4+4=0+4[/tex]
[tex]\left(x+3\right)^2=4[/tex]
[tex]x+3=\sqrt{4}:x=-1[/tex]
[tex]x+3=\sqrt{2^2}[/tex]
[tex]x+3=2[/tex]
[tex]x+3-3=2-3[/tex]
[tex]x=-1[/tex]
[tex]x+3=-\sqrt{4}:x=-5[/tex]
[tex]x+3=-\sqrt{4}[/tex]
[tex]x+3=-2[/tex]
[tex]x+3-3=-2-3[/tex]
[tex]x=-5[/tex]
Now, look at the points plotted on the graph:
HELP BTW I NEED THE BOTTOM PART DONE NOTHING RLSE !
Answers
Answer:
0=0 one solution minus three equal to zero no solution
What is the result when the number 15 is increased by 20%
Answers
Answer:
75
Step-by-step explanation:
15 divided by .20 = 75
20% is .20 and
15/.20 = 75 therefore your answer should be 75
How to expand Expand 7n-3+1-2n
Answers
Answer:
5n-2
Step-by-step explanation:
collect like terms
-> (7n-2n)+(-3+1)
simplify
=> 5n-2
David got $130 for his birthday. He spent 20% of that on a pair of shorts. He wants to save ¼ of what he has left. How much does he want to save
Answers
Answer:
26
Step-by-step explanation:
130-20%=104
25% of 104 is=26
F(x)=log2(x+3)+5 what's the x and y int.
Answers
Answer:
x int (-3), y it. (5)
Step-by-step explanation:
x+3=0, just subtract 3 and x = 3
Number to the right of parenthesis is always y int. for this sort of problem
