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makvit [3.9K]
3 years ago
12

Please please help asap, will mark brainliest!! (only comment if you know how to solve please)

Mathematics
1 answer:
Dvinal [7]3 years ago
6 0

1) We are told that at 3 hours, the velocity is 53 km/h and at 6 hours, the velocity is 62 km/h. Since we are relating two variables - let's give them names.

Let x = time and y = velocity. Since the velocity depends on the time (that is, the time influences velocity), this is a linear function. Any linear function can be written in slope intercept form as y = mx + b. The problem wants in standard from of Ax + By = C, which can be found from slope intercept form.

So now we can make our line. Consider the ordered pairs of (3, 53) and (6, 62) with them in (x, y) form. Finding the slope, m, between these points is as such:

m = y₂-y₁ / x₂-x₁

m = 62-53 / 6-3

m = 9/3 = 3.

Our slope is 3.

We take m = 3, x = 3, and y = 52 (the goes 52 km/h in 3 hrs) and use those three things to find the y-intercept.

y = mx + b

53 = 3 * 3 + b

53 = 9 + b

44 = b

So our equation of the line is y = 3x + 44. To put the equation into standard form, we need to place all the variables on one side of the equals sign, all the numbers on the other.

y = 3x + 44

-3x + y = 44

3x - y = -44 (multiply through by -1)

So with x = time, y = velocity we have 3x - y = -44 as the standard form to represent this scenario.

***

To find out the velocity at 7 hours, we evaluate our function at x = 7. Either equation (standard form or slope intercept) works; we use standard form.

3x - y = -44

3(7) - y = -44

21 - y = -44

-y = -65

y = 65

At a time of seven hours, the velocity is 65 km/h.

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3 years ago
Which of the following functions I which of the following functions are one to one? Select all that apply there are 3 answers
ivann1987 [24]

Answer:

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Step-by-step explanation:

* Lets explain how to solve this problem

- One to one function is the function that has no reputation in the value

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- That means when you draw a horizontal line at any value of y, then

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- So to solve the problem look to the attached figures

# The red graph of the function f(x)=\frac{x-1}{3x+3} ⇒1st graph

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- Take care there is a horizontal asymptote at y= 1/3, that means

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# The blue graph of the function f(x)=\sqrt{5x+9} ⇒2nd graph

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∴ The function f(x)=\sqrt{5x+9} is one-to-one function

# The green graph of the function f(x)=\frac{1}{2}x^{3} ⇒3rd graph

- In this graph if we draw a horizontal line at any value of y it will

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∴ The function f(x)=3x^{4}+7x^{3} is not one-to-one function

* The answers are 1st , 2nd and 4th functions

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Answer:

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The desired graph has two y-intercepts and one x-intercept. It is not the graph of a function.

Here's one way to get there.

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This function has two x-intercepts at ±3 and one y-intercept at y=5. By swapping the x- and y-variables, we can get an equation for the graph you want:

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<em>Comment on this answer</em>

Since there are no requirements on the graph other than it have the listed intercepts, you can draw it free-hand through the intercept points. It need not be describable by an equation.

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