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julia-pushkina [17]
3 years ago
15

Anna is swimming against the ocean current. The following equation models her speed: f(x) = x2 − 6x +1, where x is Anna's speed

relative to land. What is the domain of the function?
x ≥ 1
x ≤ −3
x ≥ −6
All real numbers
Mathematics
2 answers:
REY [17]3 years ago
7 0

Answer:

All real numbers

Step-by-step explanation:

we have the function

f(x)=x^2-6x+1

This is a vertical parabola open upward

The vertex represent a minimum

Remember that

The domain of a function is the set of all possible values of x

The quadratic functions are continuous and defined for all real values of x.

therefore

The domain of the function f(x) is the interval (-∞,∞)

That means

All real numbers

shutvik [7]3 years ago
3 0

Answer: All real numbers

Step-by-step explanation:

I took the test

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Trava [24]

Answer:

8x + 12y = 360

x-intercept = 45

y-intercept = 30

Slope = -3/4

Step-by-step explanation:

To begin, let's start with what we know

8 vans + 12 buses = 360 student

If we have vans as the variable x, having an unknown amount of students, and buses as y, also an unknown amount of students, also making 360 a flat number, we will get the equation

8x + 12y = 360

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The y-intercept can be found when x = 0, so let's substitute that in

8(0) + 12y = 360

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The x-intercept can be found when y = 0, so let's substitute that in

8x + 12(0) = 360

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x                = 45

So, the x-intercept is 45 and the y-intercept is 30.

Next, let's find the slope. We can solve this easily by isolating y and finding the coefficient of x

8x + 12y = 360

-8x                    -8x

       12y = 360 - 8x  

12y / 12 = (360 - 8x) / 12

          y  = 30 - 3/4x

The coefficient of x is -3/4, so the slope will be -3/4

If you have any questions, please let me know in the comments! If you could mark this answer as the brainliest, I would greatly appreciate it!

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