What is the graph of two variables that are directly proportional to one another?
Answers
The graph is a straight line that passes through the origin.
For instance, the linear equation y = 6x is a direct proportion.
If the line doesn't pass through the origin, then it's not a direct proportion. The equation y = 2x+5 for instance is not a direct proportion.
Related Questions
A college student realized that he was spending too much money on fast food. For the remaining 5 months of the year his goal is to spend a mean of $50 a month towards fast food. How much can he spend in December, taking into consideration that in the other 4 months he spent $100, $25, $80, and $30, respectively? Round your answer to two decimal places, if necessary.
What is one of the solutions to the following equations? y2+x2=53 Y-x=5
Tom sells baseball cards at 10 for 35 cents. Is that a better deal than 12 for 40 cents?
* 16 points *. can somebody help me thanks
Answers
Answer:
138,336 feet
Step-by-step explanation:
To determine the number of feet in a marathon, multiply the number of feet in 1 mile by the number of miles.
If 1 miles has 5,280 feet, then 26.2 miles will have 26.2(5280) = 138,336 feet.
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legnth=15
width=10
height=2
V=15 times 10 times 2
V=300 ft^3
300 cubic feet ofsand
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Answer:
Yes
Step-by-step explanation:
Full price for first course: £8.90
Half price: £4.45
One and one half times
full price is then: £13.35
Since this is less than Craig's £13.40, he can just barely afford to buy two main courses at these prices.
Answers
Answer:
275 bicycles
Step-by-step explanation:
We are given the average cost per bicycle as;
C(x) = 0.2x² - 1.1x + 10.592
We will solve this by finding the derivative of the C(x) function which will give us the instantaneous slope. Thereafter, we will find the extremas which will occur when the instantaneous slope is equal to 0.
Thus, derivative of C(x) is;
C'(x) = 0.4x - 1.1
Equating to zero, we can find the extremas.
Thus;
0.4x - 1.1 = 0
x = 1.1/0.4
x = 2.75
To check if this is minimum of maximum, we will find the second derivative of C(x)
Thus;
C''(x) = 0.4
Thus is a positive value, and so it means the critical point is a minimum.
Thus, X = 2.75
We were told x is in hundreds of bicycles. Thus, X = 2.75 × 100 = 275 bikes
To Optimization minimize the average cost per bicycle, the shop should build 275 bicycles. This is determined by finding the x-coordinate of the vertex ('minimum point') of the parabolic graph represented by the average cost function .
The function is a quadratic function, and represents the average cost per bicycle. The shape of the graph of a quadratic function is a parabola.
In this case, because the coefficient of the x^2 term is positive, the parabola opens upwards,which means it has a minimum point.
Therefore, the minimum average cost per bicycle occurs at the vertex of the parabola.
To find the x-coordinate of the vertex (which is the number of bicycles), we use the formula , where a is the coefficient of the
term (0.2) and b is the coefficient of the x term (-1.1).
Plugging in these values gives hundreds of bicycles or 275 bicycles.
Therefore, the shop should build 275 bicycles to minimize the average cost per bicycle.
Learn more about Optimization here:
#SPJ3
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Answer:add the exponets
Step-by-step explanation:
A.1.5
B.2.7
C.3.0
D.3.8
Answers
Mean shoe size of the students in a math class: µ=7.5
Standard deviation: σ
Most of the shoe sizes (x) fall within 1 standard deviation:
µ-1σ<x< µ+1σµ-σ<x< µ+σ
or between a size 6 and a size 9:
6<x<9
Comparing µ-σ<x< µ+σ with6<x<9:
µ-σ=6 or µ+σ=9
Replacing µ=7.5 above:
7.5-σ=6 or 7.5+σ=9
Solving for σ:
7.5-σ-7.5=6-7.5 or 7.5+σ-7.5=9-7.5
-σ=-1.5 or σ=1.5
σ=1.5 or σ=1.5
Then σ=1.5
SD = square root of (variance)
Variance is the average of the squared differences from the Mean.
Variance = (6-7.5)^2 + (9-7.5)^2 / 2
Variance = 2.25
SD = square root (2.25)
SD = 1.5
The correct answer is A. 1.5