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dybincka [34]
3 years ago
11

2. Determine if either of the following equations are functions? Draw the graphs and explain how

Mathematics
1 answer:
nekit [7.7K]3 years ago
4 0

Answer:

Both equation represent functions

Step-by-step explanation:

The function is the relation that for each input, there is only one output.

A. Consider the equation

y=-\dfrac{3}{5}x+2

This equation represents the function, because for each input value x, there is exactly one output value y.

To check whether the equation represents a function, you can use vertical line test. If all vertical lines intersect the graph of the function in one point, then the equation represents the function.

When you intersect the graph of the function y=-\dfrac{3}{5}x+2 with vertical lines, there will be only one point of intersection (see blue graph in attached diagram). So this equation represents the function.

B. Consider the equation

y=x-x^2

This equation represents the function, because for each input value x, there is exactly one output value y.

When you intersect the graph of the function y=x-x^2 with vertical lines, there will be only one point of intersection (see green graph in attached diagram). So this equation represents the function.

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A student currently is averaging 65.0% of the points in lecture (worth 60% of total grade) and has a 75.0% in lab (worth 40% of
earnstyle [38]

Answer:

69

Step-by-step explanation:

If she is averaging 65% of the worth of lectures.

the lectures she had was supposedly rated out of 60. Therefore, the 65% will be 65% of 60(total grade)

0.65 * 60 = 39

On the second part, if we apply the same method, we have

0.75 * 40 = 30

All we have to do on add both together

39 + 30 = 69.

therefore, get total grade in the course is 69

6 0
3 years ago
Simon charges an initial fee plus an hourly fee to repair TVs. The table below shows the amounts Simon charges for the first thr
Sedbober [7]

Answer:

Rate of change: 25

Initial value: 25

Equation: y = 25x + 25

Step-by-step explanation:

✔️hours = x

Fee = y

Rate of change (m) = ∆y/∆x

Rate of change (m) = 25/1 = 25

Rate of change (m) = 25

✔️Initial value = y-intercept (b).

To find the initial value, simply substitute (x, y) = (1, 50) and m = 25 into y = mx + b.

Thus:

50 = (25)(1) + b

50 = 25 + b

Subtract 25 from each side

50 - 25 = b

25 = b

b = 25

✔️To write an equation, substitute m = 25 and b = 25 into y = mx + b.

Thus:

y = 25x + 25

4 0
3 years ago
What is .36 repeating expressed as the quotient of two integers in simplest form?
Igoryamba
x=0.\overline{36}\\
100x=36.\overline{36}\\
100x-x=36.\overline{36}-0.\overline{36}\\
99x=36\\
x=\dfrac{36}{99}\\
x=\dfrac{4}{11}
5 0
3 years ago
Simplify -3/2 * 9/6<br><br> A. -4<br> B. -1<br> C. 4<br> D. 1
zalisa [80]

Answer:

-2.25

Step-by-step explanation:

8 0
2 years ago
Need help will give brainlest!!
Evgesh-ka [11]

Answer:

14/20

Step-by-step explanation:

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3 years ago
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