Jonathan is deciding between two different movie streaming sites to subscribe to.Plan A costs $6 per month plus $2 per movie watched. Plan B costs $16 per monthplus $1 per movie watched. Let A represent the monthly cost of Plan A if Jonathanwatches x per month, and let B represent the monthly cost of Plan B if Jonathanwatches movies per month. Graph each function and determine the number ofmonthly movies watched, 2, that would make the two plans have an equal monthlycost.
Answers
Gigi, this is the solution to the problem:
This is the information provided to us:
Plan A : $ 6 per month + $ 2 per movie wathced
Plan B : $ 16 per month + $ 1 per movie watched
Step 1: Let's calculate the number of movies that would make the two plans to have an equal monthly payment, as follows:
Let x to represent the number of movies watched by Jonathan
Plan A = Plan B
6 + 2x = 16 + 1x
Like terms:
2x - x = 16 - 6
x = 10
If Jonathan watches 10 movies per month the two plans will have an equal monthly cost
Step 2: Let's graph the functions that represent each plan, this way:
Related Questions
The table shows a proportional relationship.
Workout (hours) 1 2 3
Calories Burned 240 480 720
Create a description in words for the table.
The number of calories burned is dependent on the number of hours working out. For a one-hour workout, there are 240 calories burned, and for a two-hour workout, there are 480 calories burned.
The number of calories burned is dependent on the number of hours working out. For every 240-hour workout, there is 1 calorie burned, and for every 480-hour workout, there are 2 calories burned.
The number of hours working out is dependent on the number of calories burned. For a one-hour workout, there are 240 calories burned, and for a two-hour workout, there are 480 calories burned.
The number of hours working out is dependent on the number of calories burned. For every 240-hour workout, there is 1 calorie burned, and for every 480-hour workout, there are 2 calories burned.
Answers
Workout hours are 1 2 3
Calories Burned are 240 480 720
Option B is correct.
Given that,
The table is a proportional relationship.
Workout hours are 1 2 3
Calories Burned are 240 480 720
We can conclude from the form of the question that the quantity of calories we burn is determined by the length of time we spend practicing, making the activity (hours) the independent variable and the calories burned the dependent one. The responses C and D are automatically canceled out by this.
The table's information is all we can then depend on. The assigned hours were 1, 2, and 3, and the corresponding calories were 240, 480, and 720. Just make sure that's reflected in the response.
Therefore, Option B is correct.
The number of hours spent exercising determines the quantity of calories expended. 240 calories are expended during a one-hour workout, and 480 calories are burned after a two-hour workout.
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write a quadratic equation in the form x^2 + bx + c =0 that has the following rootsroots {10,5}
Answers
If the roots are 10 and 5, then the equation can be expressed as:
(x - 10)(x - 5)
Distributing,
x*x - x*5 - 10*x + 10*5 =
= x² - 15x + 50
Brenda drove to her friend's house and back. On the trip there she drove 30 kmh and on the return trip she went 20 km/h. How long did the trip there take if the return trip took three hours?
Answers
Answer: 2 hours
Step-by-step explanation:
If the return trip took 3 hours and she went 20 km/hr she would be going 60 miles because you can use the formula [tex]v*t=d[/tex] to figure it out. Now you have to figure out how much time it took for her to drive 60 miles going 30 miles an hour. Use the formula [tex]\frac{d}{v} =t[/tex] and you will figure out that she is driving for 2 hours.
X^2+y-9=0 test for symmetry
Answers
We have three tests of symmetry. In respect to the y-axis or in respect to the x-axis, or in respect to the origin.
For symmetry with respect to the Y-Axis, check to see if the equation is the same when we replace x with −x:
[tex]x^2+y-9=(-x)^2+y-9=0[/tex]Since the equation remains the same when we change the sign of the x variable, the equation is symmetric in respect to the y-axis.
For symmetry with respect to the X-Axis, check to see if the equation is the same when we replace y with −y:
[tex]x^2+y-9\ne x^2+(-y)-9=x^2-y-9[/tex]Since the equation does not remains the same when we change the sign of the y variable, the equation is not symmetric in respect to the x-axis.
The equation is symmetric with respect to the origin if for every point (x,y) that satisfies the equation, the point (-x, -y) also satisfies the equation.
[tex](-x)^2+(-y)-9=x^2-y-9\ne x^2+y-9[/tex]Since it doesn't satisfies this condition, the equation is not symmetric with respect to the origin.
5x^2+9x+4=0 can someone help me please
Answers
Answer:
x = -4/5 or x = -1
hope this helps
Change the equation to standard form the state from x and y intercepts
Answers
We will have the following:
[tex]y=\frac{3}{2}x-\frac{1}{2}\Rightarrow(2)y=(\frac{3}{2}x-\frac{1}{2})(2)[/tex][tex]\Rightarrow2y=3x-1\Rightarrow3x-2y=1[/tex]So, the equation in standard form is:
[tex]3x-2y=1[/tex]And now, we determine the x & y intercepts:
x-intercept:
[tex]3x-2(0)=1\Rightarrow3x=1[/tex][tex]\Rightarrow x=\frac{1}{3}[/tex]So, the x-intercept is located at:
[tex](\frac{1}{3},0)[/tex]y-intercept:
[tex]3(0)+2y=1\Rightarrow2y=1[/tex][tex]\Rightarrow y=\frac{1}{2}[/tex]So, the y-intercept is located at:
[tex](0,\frac{1}{2})[/tex]Find the distance between -4 and 2.
is it 6 or -2
Answers
Answer:
6
Step-by-step explanation:
-4 -3 -2 -1 0 1 2
using this module predict when it will take to reach approximately 300 female turtles ? how many female turtles will there be in 7 years?
Answers
Answer
a) It will take 3.54 years for the turtle population to hit 300 female turtles.
b) There will be 78,125 female turtles in 7 years.
Explanation
The model has been give to us as
T(t) = 5ᵗ
where
T(t) = Female turtle population at any time t
t = time in years
First part of the question asks us to find when the turtle population will hit 300 female turtles. That is, find t when T(t) = 300
T(t) = 5ᵗ
300 = 5ᵗ
We can rewrite this as
5ᵗ = 300
We will take the natural logarithms of both sides
In 5ᵗ = In 300
t (In 5) = In 300
t (1.6094) = 5.7038
Divide both sides by 1.6094
t = (5.7038/1.6094)
t = 3.54 years = 3 years, 6.5 months
For the second part of the question, we want to calculate the number of female turtles when t = 7 years
T(t) = 5ᵗ
T(7) = 5⁷ = 78,125 female turtles
Hope this Helps!!!
A group of six friends ordered a pizza I wanted to arrive. There were 12 pieces of equal size 4 hours later 3/8 of pizza still remained and was going to be split evenly amongst six friends so they could finish the pizza.
Answers
Using the mathematical operations, the quantity that each of the six friends got from the 3/8 of pizza remaining after 4 hours is 0.75.
What are the mathematical operations?The mathematical operations that are used to perform basic number operations are division, multiplication, subtraction, and addition.
These basic mathematical operations can be used to compute the quantity of pizza that each friend got from the remainder.
For instance, after determining that 4.5 of the pizza is remaining, this value can be shared by 6 to get 3/4 or 0.75 for each friend.
The number of friends in the group = 6
The number of equal pieces of pizza = 12
The quantity of pizza remaining after 4 hours = 3/8 or 4.5 (12 x 3/8)
The quantity received by each friend after the equal splitting of the remainder = 0.75 (4.5/6) or 3/4 (3/8 ÷ 6).
Thus, basic mathematical operations show that each friend will get 3/4 more pizza.
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Question Completion:How much did each of the six friends get from the 3/8 remaining pizza?
dilate the figure about the given point a scale factor of 2.
Answers
1) The first thing to dilate a figure, is to know the scale factor and if it's about the origin or not.
We have k=2, as our scale factor. So the image will be twice larger (scaled) than the pre-image.
2) Since it is not about the origin but about the point, We need to count from the center of dilation (that point).
2.1) Let's locate each point of the vertex, and call them by ABCD for that pre-image, and call E the point which is going to be the center of dilation.
Counting the distances from figure ABCD to point E
Pre-image
A (7,6) ------------------ > A' ( 5 units to the left , 5 down)
B (9,6) ---------------> B' (7 to the left, 5 down)
C (6,3) -----------------> C' (4 to the left, and 2 down)
D (10,3) --------------> D' ( 8 to the left, and 2 down)
The new figure will be at
A ' ( 10 units to the left, 10 units down
B' (14 to the left, 4 down)
C' ( 8 to the left, and 4 down)
D' ( 16 to the left, and 4 down)
L
A' =(-3,-4) B' (-5,2) C' (-2, -1) D' (-6,-1)
Based on the information in the diagram, which trigonometric ratio would help determine the measure of side X? What is the measure of side x to the nearest tenth 0.0 of a centimeter?
Answers
A)
[tex]undefined[/tex]Please help me asap I need assistant
Answers
Answer:
In order from left to right: Apple, Mango, Grapes, Kiwi, Banana
Step-by-step explanation:
The one furthest left is the only one that goes above 50, so it has to be apple at 55. The one next to it falls between 20 and 30, so it is going to be Mango at 25. The one next to it lies between 30 and 40, so it will be Grapes at 35. The next one falls exactly at 10, so it is Kiwi. And finally, the only one left is Banana, which is good because the bar sits at 50.
Hope this helps
Answer:
Red: Apple, Green: Mango, Blue: Grapes, Pink: Kiwi, Purple: Banana
Step-by-step explanation:
The y-axis (Number of votes) shows how many families voted for a specific fruit, using the bar graph you can connect the dots and figure out which graph is which :) Ex: Red is apple because the bar stops right between 60 and 50 showing to be halfway between the two which is 55, and apple received 55 votes.
Rearrange the equation
a = 1/4 b
to make b the subject
Answers
Answer:
b = 4a
Step-by-step explanation:
a = [tex]\frac{1}{4}[/tex] b ( multiply both sides by 4 to clear the fraction )
4a = b
Which values are solutions to the inequality below?Check all that apply.√x ≤ 11choices: 121, 120, 111, -10, 122, no solution
Answers
Consider the given inequality,
[tex]\sqrt[]{x}\leq11[/tex]Note that a square root inequality is defined only if the 'x' is non-negative.
[tex]x\ge0[/tex]Now, squaring both sides will not affect the inequality as both sides are positive terms,
[tex]\begin{gathered} (\sqrt[]{x})^2\leq11^2 \\ x\leq121 \end{gathered}[/tex]Combining the two results,
[tex]0\leq x\leq121[/tex]Thus, the solution set to the inequality is the set of all real numbers from 0 to 121 .
Identify the vertical and horizontal asymptotes of the following rational function…..The rest of option D was cut off, but it says:Vertical asymptotes: x = -3 , x = 6.Horizontal asymptote at y = 0
Answers
The function is given to be:
[tex]h\mleft(x\mright)=\frac{\left(x-2\right)\left(x+3\right)\left(x-6\right)}{\left(x-4\right)\left(x+3\right)^{2}\left(x+2\right)}[/tex]Vertical Asymptotes:
The vertical asymptote of a function is the x value gotten when the denominator is equated to 0.
The denominator of the function given can be equated to 0 as shown below:
[tex](x-4)(x+3)^2(x+2)=0[/tex]Therefore, we can get the values for x using the Zero Factor Principle given to be:
[tex]\begin{gathered} If \\ ab=0, \\ \text{then} \\ a=0,b=0 \end{gathered}[/tex]Therefore, we have
[tex]\begin{gathered} x-4=0,\therefore x=4 \\ x+3=0,\therefore x=-3 \\ x+2=0,\therefore x=-2 \end{gathered}[/tex]Hence, the horizontal asymptotes are at:
[tex]x=4,x=-3,x=-2[/tex]Horizontal Asymptotes:
The horizontal asymptotes can be gotten by checking the degree of the functions that make up the numerator and denominator of the whole function. If the degree of the numerator is less than that of the denominator, then the asymptote is at y = 0.
Degree of Numerator: 3
Degree of Denominator: 4
Therefore, the horizontal asymptote is at:
[tex]y=0[/tex]ANSWER:
The correct option is OPTION B.
Find the area of a rectangle whose length and breadth are 3x²y² and 5xy2 respectively.
Answers
Answer:
A = 15x³[tex]y^{4}[/tex]
Step-by-step explanation:
the area (A) of a rectangle is calculated as
A = length × breadth
= 3x²y² × 5xy²
= 3 × 5 × x² × x ×y² × y²
= 15 × x³ × [tex]y^{4}[/tex]
= 15x³[tex]y^{4}[/tex]
10. Written as the product of two binomials, the expression (x+3)(4x-1)-(x+3)(x-9) is(1) (2x+6) (3x – 10)(3) (x+3)(3x+8)(2) (x+3)(x-10)(4) (2x+6)(3x+8)
Answers
As a product of two binomials, the expression provided in the question would now be written as follows;
[tex]undefined[/tex]Suppose that the functions p and q are defined as follows.
p(x) = 4x-3
g(x) = -5x+5
Find the following.
(g•p) (4) =
(p•g) (4) =
Answers
Following are solutions of the functions:
(p, q)(4) = -103
(g, p)(4) = 70
What are functions?A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. a mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable).
Given Data
p(x) = 4x-3
g(x) = -5x+5
g(x) = -5x +5
g(p(x)) = -5(p(x)) +5
g(p(x)) = -5(p(x)) + 5
Solving,
(g, p)(x) = -5(4x-3) +5
(g, p) (x) = -20x - 15 +5
(g, p)(x) = -20x -10
(g, p)(x) = 20(4) -10
(g, p) (x) = 80 - 10
(g, p)(4) = 70
Function,
p(x) = 4x -3
p(g(x)) = 4(g(x)) -3
(P, q)(x) = 4(-5x +5) -3
(p, q)(x) = -20x - 20 -3
(P, q)(x) = -20x -23
(p, q)(4) = -20(4) - 23
(p, q)(4) = =80-23
(p, q)(4) = -103
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Nicole runs 7 miles in 60 minutes. At the same rate, how many miles would she run in 24 minutes?
Answers
In 24 minutes, Nicole runs the distance of 2.8 miles.
What is miles?
In mathematics, The term 'miles' is a unit of distance. It is used for the calculation of displacement measurement. It is defined as the starting point and endpoints on the graph.
According to the question, Nicole runs 7 miles in 60 minutes. Therefore, the parameters are:
Distance = 7 miles; Time = 60 minutes
Therefore, Speed = Distance/Time = 7/60 miles/minutes
Now, the time is 24 minutes and speed is 7/60 miles/minutes.
The required distance can be calculated as:
Distance = (Speed)(Time) = (7x24/60) = 28/10 = 2.8 miles
Hence, In 24 minutes, Nicole runs 2.8 miles.
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is the median of a data set is the same whether you order the set from greatest to least or least to greatest?
Answers
The value of median will be same.
Given:
The objective is to determine whether the median of a data set is same or not while ordering from greatest to least or least to greatest.
There are two possible data sets, which is even number of sets or odd number of sets.
If the number of sets (n) is even, consider two terms,
[tex]\frac{n}{2}\text{ and }\frac{n+1}{2}[/tex]Then, the average of these two numbers will gives the median of the even sets.
If the number of sets (n) is odd, the median can be calculated as,
[tex]\frac{n}{2}[/tex]Hence, the value of median will be same, even if the order of the sets are arranged greatest to least or least to greatest.
12.3456Val measures the diameter of a ball as 14 inches. How many cubic inches of air does this ball hold, to thenearest tenth? Use 3.14 for it.The ball holds aboutcubic inches of air.
Answers
Volume of a sphere = (4/3) * Pi * r^3
Diameter = 14 inches ==> radius = diameter/2 = 14/2 = 7 ==> r = 7
[tex]V\text{ = }\frac{4}{3}\cdot\pi\cdot r^3=\frac{4}{3}\cdot3.14\cdot7^3=\frac{4}{3}\cdot3.14\cdot343=\frac{4}{3}\cdot1077.02=\frac{4308.08}{2}=2154.04[/tex]Answer:
About 2154 cubic inches
Translate this sentence into an equation: 60 is the product of Mabel’s height and 4 Use the variable m to represent Mabel’s height
Answers
The statement of the question tell us that Mabel's weight times 4 equals 60, we can express this with the equation:
[tex]m\times4=60[/tex]Can someone please help me:
what does X equal in this linear equation?
Directions:
Graph the following linear equation
(I will give 100 points)
please hurry
Answers
X equal to 5 in this linear equation
What is linear equation ?An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation. A linear equation with one variable has the conventional form Ax + B = 0. In this case, the variables x and A are variables, while B is a constant. A linear equation with two variables has the conventional form Ax + By = C. Here, the variables x and y, the coefficients A and B, and the constant C are all present.
0 = x - 5
x = 5
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Solve for the value of 'x' given:5.25 = -log(x)This question will require an answer in scientific notation. For example, 0.0435 would be input as 4.35e-2Answer:
Answers
Solution
Solve for the value of 'x' given:
5.25 = -log(x)
[tex]5.25=-logx[/tex][tex]\begin{gathered} x=\frac{1}{10^{5.25}} \\ x=5.62341...e-6 \end{gathered}[/tex]What is an equation of the line that passes through the point (-3,-5) and isparallel to the line 25 + 3y = 15?
Answers
We have to find the equation of a line that pass through the point (-3,5) and is parallel to the line 25x+3y=15.
All parallel lines to 25x+3y=15 can be written as:
[tex]25x+3y=C[/tex]where C is a constant that allows us to change the position of the line to fit any point.
As the point (-3,5) belongs to the line we are looking for, it has to satisfy the equation. So we can write:
[tex]\begin{gathered} 25x+3y=C \\ 25(-3)+3(5)=C \\ -75+15=C \\ C=-60 \end{gathered}[/tex]With the value of C defined, we can write the equation of the line as:
[tex]25x+3y=-60[/tex]Answer: 25x+3y=-60
Write the equation of the line that is parallel to line m and passes through the point (4, - 5).
Answers
The slope of the line parallel to the given line will be same as that of the given line.
Let 'm' be the slope of the line,
[tex]y-b=m(x-a)[/tex]Substitute a=4 and b=-5 in the above expression.
[tex]\begin{gathered} y-(-5)=m\times(x-4) \\ y+5=mx-4m \\ y=mx-4m-5 \end{gathered}[/tex]Thus, the expression of the parallel line is y=mx-4m-5.
E
B
F
D
NOTE: Angles not necessarily drawn to scale.
Answers
Answer:
75
Step-by-step explanation:
<CGE=<FGD
15=<FGD
x+<FGD=90
x+15=90
x=75
In April, Mrs Ezeaku bought a bag of corn
for N2400. When she wanted to buy more in
June, she found that she could only buy 3/5
a bag for N2400. What was the percentage
increase in price from April to June
Answers
The percentage increase in price from April to June to Mrs Ezeaku, based on the cost of the bag is 66.7%
How to find the percentage increase?First, find the price of a bag in June. If 3/5 of a bag costs N2,400, then a full bag would be:
= Cost of proportion / Proportion of bag
= 2, 400 / (3 / 5)
= N4, 000
The percentage increase from April to June is:
= ( Price in June - Price in April) / Price in April x 100%
= ( 4, 000 - 2, 400) / 2, 400 x 100%
= 1, 600 / 2, 400 x 100%
= 66.7%
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amy, becky, caroline, and dan are each trying to save $200 for a new phone. the chart shows how much each of them currently have and how much they are saving each week. show all work and explain your steps
A. How much money will Amy have in 3 weeks? Write the expression you use to solve.
B. Write an expression telling how much Amy will have in x number of weeks.
C. Who will be the first person to save $200 and how long will it take?
Answers
A) In 3 weeks, Amy will have $121.
B) An equation that shows the amount of savings Amy will have in x number of weeks is 100 + 7x.
C) Becky is the first person to save $200 in 11.5 weeks.
What is an equation?An equation is a mathematical statement that two or more mathematical expressions share equality in their values.
Equations depict the fact that two or more expressions have the same or equivalent values using the equation symbol (=).
The total amount of savings required for a new phone = $200
Amy's savings in x weeks = 100 + 7x
Becky's savings in x weeks = 85 + 10x
Caroline's savings in x weeks = 94 + 8x
Dan's savings in x weeks = 110 + 7x
Amy's savings in 3 weeks = $121 ($100 + 7(3)
Amy:If 100 + 7x = 200
7x = 100
x = 14.3
= 14.3 weeks
Becky:If 85 + 10x = 200
10x = 115
x = 11.5
= 11.5 weeks
Caroline:If 94 + 8x = 200
8x = 106
x = 13.25
= 13.25 weeks
Dan:If 110 + 7x = 200
7x = 90
x = 12.86
= 12.86 weeks
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Combine Like Terms (Basic, Decimals)May 20, 11:17:05 AM?A triangle has side lengths of (4.7u – 2.6) centimeters, (9.4u +9.1) centimeters,and (6.2v - 8.7) centimeters. Which expression represents the perimeter, incentimeters, of the triangle?20.6u - 2.50O 6.5 -2.50 + 14.1uSubmit AnswerO -2.50 + 18,5 + 2.1u0 -2.2 + 14.1u + 6.2v
Answers
Given side lengths:
(4.7u - 2.6)cm , (9.4u + 9.1)cm , (6.2v - 8.7)cm
The perimeter of a rectangle is the sum of the three sides:
[tex]\begin{gathered} (4.7u\text{ - 2.6) + (9.4u + 9.1) + (6.2v - 8.7) } \\ =\text{ 4.7u + 9.4u + 6.2v - 2.6 + 9.1 - 8.7} \\ =\text{ }14.1u\text{ + 6.2v -2.2} \\ =\text{ -2.2 + 14.1u + 6.2v} \end{gathered}[/tex]The correct answer is : -2.2 + 14.1u + 6.2v
