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Ede4ka [16]
3 years ago
5

Which line represents the direct variation equation y = 1/2x?

Mathematics
2 answers:
Verdich [7]3 years ago
7 0

Answer:

C.

Step-by-step explanation:

y = 1/ x must pass through the origin because when x = 0, y = 0.

So its either B or C.

A positive slope rises to the right ( 1/2  is positive), so its C.

You can also see that the slope of C is 1/2 because it passes through the points (0.0) and (2, 1).

babunello [35]3 years ago
6 0

Answer:

Line C

Step-by-step explanation:

the slope is 1/2 so change in y/ change in x which means 1 is the y and 2 is the x.

the y-intercept is 0.

So up 1 right 2 starting from the origin (0,0)

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Let f(x)=2.912345x^2+3.131579x-0.099999
Rudiy27
A.) Integers are positive and negative counting numbers. So, in order to find the integer coefficients, round off the coefficients in the equation to the nearest whole number. The function for g(x) is:

g(x) = 3x²+3x

B.) Substitute x=4 to the two functions.

f(x) = 2.912345x²<span>+3.131579x-0.099999
</span>f(4) = 2.912345(4)²+3.131579(4)-0.099999
f(4) = 59.023837

g(x) = 3x²+3x
g(4) = 3(4)²+3(4)
g(4) = 60

C.) The percentage error is equal to:

Percentage error = |g(4) - f(4)|/f(4)  * 100
Percentage error = |60 - 59.023837|/59.023837  * 100
Percentage error = 1.65%

D.) If x is a large number, for example x=10 or x=20, then g(x) would be an overestimate. This is because the value of x is raised to the power of 2. So, as the x increases, the corresponding function would increase exponentially. Even at x=4, g(x) is already an overestimate. What more for larger values of x? That means that the gap from the true answer f(x) would increase.
5 0
3 years ago
there were 50 cars parked at the airport car rental lot. Of those 50 cars, 10% were red. How many cars were red?
solmaris [256]
10% of the 50  were red.

10% * 50

(10/100) * 50

(1/10) * 50

= 5

5 were red.
8 0
3 years ago
Read 2 more answers
Finding the speed of the ball.
12345 [234]
Divide the distance by the time and you will get your answer
3 0
2 years ago
I need help plz ???
jasenka [17]

Answer: M=-2 , B= 2 , Equation: Y= -2x+2

Step-by-step explanation:

M is the slope. Slope is "rise / run", so 2 over -1. simplified, that is -2. B is the y-intercept, or where the graph crosses the y-axis. So, b will be 2.

8 0
3 years ago
Derek owns a landscape business. He charges a fixed fee of $30 plus $1 per 1,000 square feet of lawn mowed. Derek's earnings (in
luda_lava [24]

From the given problem statement alone, we can say that the equation relating the area of the lawn mowed and the earnings has a linear relationship. That is because there is a constant increase in the earnings per area which is $1 per 1000 square feet.

Therefore the equation must be in the form of:

y = m x + b

where,

y = is the total earnings

m = is the fee per area = 1 / 1000

x = is the area of the lawn

b = is the fixed fee = 30

 

Therefore the equation becomes:

y = 0.001 x + 30

 

Rewriting this in terms for x since we are to find the area:

x = (y – 30) 1000

 

when y = 204

x = (204 – 30) 1000 = 174,000 square feet

 

when y = 344

x = (344 – 30) 1000 = 314,000 square feet

 

when y = 450

x = (450 – 30) 1000 = 420,000 square feet

 

when y = 482

x = (482 – 30) 1000 = 452,000 square feet

 

when y = 504

x = (504 – 30) 1000 = 474,000 square feet

8 0
3 years ago
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