The system of equations representing these costs is y = 7.5x and y = 5..5x + 10
Given,
Anna desires to enroll in fitness courses. She contrasts two gyms to see which offers the best value. Each class at Fit Fast costs a specified amount. Stepping up costs a monthly fee as well as a price for each lesson.
We have to find the system of equations representing these costs;
Fit Fast: a certain number of feet per class = y = Ax
Stepping Up: a monthly charge plus a cost for each additional class = h = Bx + C
The second and fourth systems can be ignored since they lack the form that is implied by the statement.
Given that it reflects a choice that is always preferable to the alternative, the first system produces an obvious result. There is no need to compare because, for any positive value of x, 5.5x will be less than 7.5x + 10,
The third system is
It is necessary to solve the equations y = 7.5x and y = 5.5x + 10 to decide when one rate is more practical than the other.
That is,
The system of equations representing these costs is y = 7.5x and y = 5..5x + 10
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The Watkins family is trying to decide which kind of in-ground pool to install. They are determining whether to put in a saltwater pool or a basic chlorine pool. The graphs below model the average annual cost of owning each type of pool after t years.
If the family plans to move to their retirement home in 10 years, which pool would be more cost effective to install? How do you know?
The chlorine pool is more cost effective because the y-value at 10 years is less on graph B than it is on graph A.
The saltwater pool is more cost effective because the y-value at 10 years is less on graph A than it is on graph B.
They would be equally cost effective because the vertical asymptotes for each graph are the same.
They would be equally cost effective because the horizontal asymptotes for each graph are the same.
Watkins family should install a chlorine pool because it is more cost effective because the y-value at 10 years is less on graph B than it is on graph A.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
If the family plans to move to their retirement home in 10 years, We need to find which pool would be more cost effective to install.
As in the given graph, the x-axis denotes the year while the y-axis denotes the cost of maintaining the pool in that year.
When we compare the two of the given graph we will find the cost of maintaining a chlorine pool is less as compared to a salt water pool at x=10, therefore, after 10 years.
Hence, the Watkins family should install a chlorine pool because it is more cost effective because the y-value at 10 years is less on graph B than it is on graph A.
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Answer:
a
Step-by-step explanation:edge
A SALESMAN BOUGHT A COMPUTER FROM A MANUFACTURER. THE SALESMAN THEN SOLD THE COMPUTER FOR $15,600 MAKING A LOSS OF 25%. WHAT AMOUNT DID THE SALESMAN PAY THE MANUFACTURER FOR THE COMPUTER?
Answer:
20800 dollars
Step-by-step explanation:
15600*(1/0.75)
=20800
the original price was 20800 dollars.
weirdly expensive computer though
2 -3 - > › Solve for x 5(x + 2) = 6x +1 X =
Answer:
the is 20 because you need to multiple
The value of "y" varies directly with "x" and
y = -8 when x = 20.
Find "y" if x = -4.
Now use the value you found for k, in y=kx to
solve for y when x is -4.
k=-²/
y =
Reduce to simplest form.
Answer:
y = 8/5
Step-by-step explanation:
Formula we use,
→ y = kx
Then the value of y will be,
→ y = kx
→ y = (-2/5) × (-4)
→ y = (-2 × -4)/5
→ [ y = 8/5 ]
Hence, the value of y is 8/5.
Choose the correct numbers from the
box below to complete the subtraction
sentence that follows.
The correct numbers from the box below are 5/6 - 1/3 = 1/2.
What is a fraction?A fraction is written in the form of p/q, where q ≠ 0.
Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.
Given, A table with five different fractions.
Now, 5/6 - 1/3 we will check and the result must fall in the fractions given in the table.
5/6 - 1/3.
= (5 - 2)/6.
= 3/6.
= 1/2.
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What integer values satisfy both inequalities? − 2 < x < 3 x < 2
Answer:
-1, 0, 1
Step-by-step explanation:
the weight of football players is normally distributed with a mean of 210 pounds and a standard deviation of 10 pounds. the probability of a player weighing less than 220 pounds is . a. 0.1587 b. .5000 c. 0.3413 d. 0.8413
what is the answer to 3 2/13 + 7/8
Answer:
the exact form is 419/104
decimal for:4.02884615...
mixed number form: 4 3/104
Step-by-step explanation:
calculator
How many solutions are there to the system of equations shown?
Answer:
There are two solutions. The parabola and the line intersect at two different points.
Answer:
Two
Step-by-step explanation:
there are two slope lines, so you need two equations for each lines.
find slope of points (10,8) and (1,1)
Answer: Slope=7/9
Step-by-step explanation:
m=[tex]y_{2} - y_{1} / x_{2} - x_{1}[/tex]
We can insert your equation to get:
m=8-1/10-1
Simplify:
m=7/9
How many natural numbers less than 200 are divisible by 4 but not divisible by 12.
There are 33 numbers that are less than 200 and divisible 4 but not divisible 12. this can be solved with the help of simplification.
What is simplification?
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Main body:
Given that,
To determine how many natural numbers less than 200 are divisible by 4, but not divisible by 12.
Here,
Let the largest number divisible by 4 less than 200 is 198
The total numbers divisible by 4 and less than 200 is,
= 198 / 4 = 49
Similarly
The total number divisible by 12 and less than 200 is,
= 192/ 12 = 16
So the numbers that are less than 200 but divisible 4 not by 12 is,
= 49 - 16
= 33
Hence, there are 33 numbers that are less than 200 and divisible 4 but not divisible 12.
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w+5r use s=2 and b=3
Answer:
Assuming w=2 and r=3, we plug in these values
2+5*3 = 2+15 = 17
Step-by-step explanation:
change this root into a power
Answer:
[tex]2^{\frac{4}{3}}[/tex]
Step-by-step explanation:
we do the reverse of what is in the photo
Denominator of exponent is 3 and numerator 4
2^4/3
hopes this helps please mark brainliest
What is the answer to this question
Answer:
Angle 6 is 78 degrees Angle 7 is 102 degrees
Step-by-step explanation:
Since both lines are parallel, you can assume that Angle 6 plus Angle 7 are a linear pair. Angle 1 corresponds to Angle 5 by the corresponding parts. Angle 5 is congruent to Angle 7 by Vertical angles so therefore Angle 7 is 102. Since Angle 6 + Angle 7 equal 180 degrees, you can put the equation like this,
[tex]Angle 6 + 102 = 108. Angle 6 = 78.[/tex]
Therefore you get your two answers
determine whether the value is a discrete random variable, continuous random variable, or not a random variable. a. the b. the c. the d. the e. the f. the
a. The amount of rain in City Upper B during April
b. The number of statistics students now reading a book
c. The eye color of people on commercial aircraft flights
d. The time it takes for a light bulb to burn out
e. The square footage of a house
f. The time it takes to fly from City Upper A to City Upper B
a) Continuous random variable
b) Discrete variable
c) Discrete random variable
d) Continuous random variable
e) Continuous random variable
f) Continue random variables
A variable is something whose value changes.
A discrete variable is a variable whose value can be obtained by counting.
Example: Number of students in attendance
Number of red marbles in a jar
A continuous variable is a variable whose value is determined by measurements.
Example: Height of a student in a class
Weight of a student in a class
Random variable : A random variable is a variable whose value is the numerical result of a random phenomenon.
Random variables are marked with capital letters.The probability distribution of a random variable X gives the possible values of X and how probabilities are assigned to those values.Random variables can be discrete or continuous.
A discrete random variable X has a countable number of possible values.
Example: Let X be the sum of two dice.
A continuous random variable X takes all values at a specific number interval.
The probability distribution of a continuous random variable is represented by a density curve. The probability that a continuous random variable X is exactly equal to a number is zero.On the basis of above definition we can easily evaluate that the given examples are random variable, continuous random variable or Discrete variable.
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Hannah borrows $999 from her parents to buy a phone. She will repay $225 to start, and then another $43 per week.
A. Write an equation that can be used to determine w, the number of weeks it will take for Hannah to repay the entire amount.
B. What number of weeks will it take Hannah to repay the entire amount?
A. The equation that can be used to determine the number of weeks is $999=225+42w
B. The number of weeks it will take Hannah to repay is 18weeks
What is linear equation?An equation is a mathematical statement, which has an equal sign (=) between the algebraic expression. Linear equations are the equations of degree 1. It is the equation for the straight line. The solutions of linear equations will generate values, which when substituted for the unknown values, make the equation true. In the case of one variable, there is only one solution. For example, the equation x + 3 = 0 has only one solution as x = -2.
the total amount of money Hannah repaid is $225+$43×w, where w is the number of weeks to repay $43.
therefore $999= $225+$43w
$43w=$ (999+225)
$43w= $1224
divide both side by $43
w= $1224/$43
w= 18 weeks
therefore it will take Hannah 18weeks to repay the money.
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examples of a unit rate
A unit rate means a rate for one of something. We write this as a ratio with a denominator of one. For example, if you ran 70 yards in 10 seconds, you ran on average 7 yards in 1 second. Both of the ratios, 70 yards in 10 seconds and 7 yards in 1 second, are rates, but the 7 yards in 1 second is a unit rate.
14. What is the y-intercept on the equation y = 3x - 6*
Answer:
-6 is the y-intercept, as in the point that crosses the y axis
Find the common difference of the arithmetic sequence -4, 1, 6,...
1 3/5+(-2 7/10)= what is this
Answer:
-1.1
Step-by-step explanation:
:)
Please help ASAPPPP!!!!!!!!!!!!! It’s due in 3 mins
The ball hits the ground after x = 6 seconds.
What is an equation?Two or more expressions with an equal sign are defined as an equation.
The given equation is h(x) = -2x² + 8x + 24.
(a) when the ball is thrown, the time is t = 0 sec.
Therefore, the height of the ball when it is thrown is,
h(0) = -2(0)² +8(0) +24
h(0) = 24
(b) The derivative of the function is,
h'(x) = -4x + 8
Substitute h'(x) = 0 into the above equation,
0 = -4x +8
4x = 8
x = 2
The second derivative of the function is,
h''(x) = -4
Since the second derivative of the function is negative, the function is maximum at x = 2.
(c) The maximum height of the ball is,
h(2) = -2(2)² + 8(2) +24
h(2) = -8 +16 +24
h(2) = 32
(d) The ball hits the ground when h(x)= 0, therefore,
0 = -2x² +8x +24
0 = -2x² +12x - 4x + 24
0 = -2x(x - 6) - 4(x - 6)
0 = (x - 6)(-2x - 4)
(x - 6) = 0 or (-2x-4) = 0
x = 6 or x = -2
Since time cannot be negative, it follows, x = 6 seconds.
Hence, the ball hits the ground after x = 6 seconds.
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A recording studio charges musicians an initial fee of $ 100 to record and album. Studio time also coasts an additional $75 per hour
Write a slope intercept form equitation to model this situation
The linear model that represents the total cost of recording is f(x) = 75x + 50.
The initial fee is $50 for recording an album.
There is an additional cost per hour i.e. $75.
number of hours = x
Now based on the above information, the linear model should be f(x)=75x+50
Here 50 represent the initial fee i.e. equivalent to y-intercept
And, 75 represent the slope
Therefore we can conclude that the linear model that represents the total cost of recording is f(x) = 75x + 50.
-2(9x-1)=-(x-9) - 7x
Answer:
Step-by-step explanation: 34
Answer:
x = [tex]\frac{11}{26}[/tex]
Step-by-step explanation
Expand 2(9x - 1): 18x - 2
Expand - ( x - 9 - 7x: -8 + 9
Add 2 to both sides 18x - 2 +2 = -8x + 9 + 2
Simplify
18x = -8x + 11
Add 8x to both sides
18x + 8x = -8x + 11 + 8x
Simplify
26x = 11
Divide both sides by 26
[tex]\frac{26x}{26}[/tex] = [tex]\frac{11}{26}[/tex]
Simplify
x = [tex]\frac{11}{26}[/tex]
If x= 1 is a zero of the polynomial function f(x) = 3x³+4x² - 5x-2, which of the following is another zero of f(x)? (6 points)
Answer: x=1 x=-2 x=-1/3
Step-by-step explanation:
[tex]f(x)=3x^3+4x^2-5x-2\\\\3x^3+4x^2-5x-2=0\\\\3x^3+(-3x^2+7x^2)-5x-2=0\\\\(3x^3-3x^2)+7x^2-5x-2=0\\\\3x^2(x-1)+7x^2+(-7x+2x)-2=0\\\\3x^2(x-1)+(7x^2-7x)+(2x-2)=0\\\\3x^2(x-1)+7x(x-1)+2(x-1)=0\\\\(x-1)(3x^2+7x+2)=0\\\\x-1=0\\\\x=1\\\\3x^2+7x+2=0\\\\3x^2+(6x+x)+2=0\\\\(3x^2+6x)+(x+2)=0\\\\3x(x+2)+(x+2)=0\\\\(x+2)(3x+1)=0\\\\x+2=0\\\\x=-2\\\\3x+1=0\\\\3x=-1\\\\[/tex]
Divide both parts of the equation by 3:
[tex]\displaystyle\\x=-\frac{1}{3}[/tex]
How many pounds of chamomile tea that cost $9 per pound must be mixed with 8 pounds of orange tea that cost $6 per pound to make a mixture that costs $7.80?
The number of pounds of chamomile tea that cost $9 per pound that must be mixed with 8 pounds of orange tea that cost $6 per pound to make a mixture that costs $7.80 from the algebraic equation is; 12 pounds
How to solve algebraic equations?Let x represent the number of pounds of Chamomile tea needed.
We are told to find the number of pounds of chamomile tea that cost $9 per pound that must be mixed with 8 pounds of orange tea that cost $6 per pound to make a mixture that costs $7.80.
Therefore,
9x + 6(8) = 7.8(8 + x)
9x + 48 = 62.4 + 7.8x
9x - 7.8x = 62.4 - 48
1.2x = 14.4
x = 14.4/1.2
x = 12
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Find the slope of the line on the graph.
Write your answer as a fraction or a whole
number, not a mixed number or decimal.
Answer:
Slope: 1
Step-by-step explanation:
If you take 2 points on the graph, for example (0,3) and (-3,0), you can find the slope. Use the rise over run method (y2-y1/x2-x1). 0-3=-3 and -3-0=-3. After I did that, I divided it: -3/-3=1.
Graph the equation y = 2x + 2 Iready
Answer:
picture it to pixilated
Step-by-step explanation:
The x-intercept and y-intercept of the equation will be (-1, 0) and (0, 2). The graph is given below.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
x/a + y/b = 1
Where 'a' is the x-intercept of the line and ‘b’ is the y-intercept of the line.
The linear equation is given below.
y = 2x + 2
Convert the equation into intercept form, then we have
y = 2x + 2
y - 2x = 2
y / 2 - x / 1 = 1
The x-capture and y-block of the situation will be (- 1, 0) and (0, 2). The chart is given beneath.
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Mike's Fitness Center charges $30 per month for a
membership. All-Day Fitness Club charges $22 per month
plus an $80 initiation fee for a membership. After
type your answer...
months will the total amount
paid to the two fitness clubs will be $
type your answer...
For the given fees charged by two fitness clubs , number of months required by two fitness clubs to pay the same total amount is equal to 10 months.
As given in the question,
Number of fitness club = 2
Let 'x' represents the number of months
Charges for a month membership charged by Mike's Fitness center is equal to $30.
Charges for a month membership charged by All-Day Fitness club is equal to $22 plus $80 initiation fee.
Required equation when two clubs have same amount of charges is given by:
30x = 22x + 80
⇒ 30x -22x = 80
⇒ 8x = 80
⇒ x = 10 months
Therefore, number of months required by two fitness clubs to pay the same total amount is equal to 10 months.
The complete question is:
Mikes fitness center charges $30 per month for a membership. All-Day fitness club charges $22 per month plus an $80 initiation fee for a membership. After how many months will the total amount paid to the two fitness clubs be the same?
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Dr. Ellison says that the equation y = -3x + 7 has a solution f(2) = 5/3. Is Dr. Ellison right or wrong?
Dr. Ellison's equation that f(2) = 5/3 is wrong
How to determine if the doctor is right or wrong?From the question, we have the following equation that can be used in our computation:
y = -3x + 7
This equation can be expressed as a function
So, we have
f(x) = -3x + 7
In Dr. Ellison's equation, we have
f(2) = 5/3
This means that
x = 2
So, we have
f(2) = -3 * 2 + 7
Evaluate
f(2) = 1
The calculated value is different from Dr. Ellison's equation
Hence, the solution is wrong
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Aldo purchased a prepaid phone card for $45.75. Calls cost 7 cents a minute using this card. The credit, C (in dollars), left on the card after it is used for x
minutes of calls is given by the following function.
C(x)=45.75-0.07x
How much credit is left on the card after Aldo uses it for 20 minutes of calls?
Answer: 44.35
Step-by-step explanation:
0.07x20=1.4
45.75-1.4