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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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Answer:

The answer is B

Step-by-step explanation:

I took the test and got it right.

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Solve the simultaneous equations<br>4x+3y=1<br>4x^2+3xy+y^2=2​
Fantom [35]

Notice that the second equation,

4<em>x</em> ² + 3<em>xy</em> + <em>y</em> ² = 2

can be written as

<em>x</em> (4<em>x</em> + 3<em>y</em>) + <em>y</em> ² = 2

and the first equation says 4<em>x</em> + 3<em>y</em> = 1, so this reduces to

<em>x</em> + <em>y</em> ² = 2

Solve the first equation for <em>x</em> :

4<em>x</em> + 3<em>y</em> = 1

4<em>x</em> = 1 - 3<em>y</em>

<em>x</em> = (1 - 3<em>y</em>)/4

Substitute this into the reduced second equation to get a quadratic equation in <em>y</em>, which happens to be easily factorized and solved:

(1 - 3<em>y</em>)/4 + <em>y</em> ² = 2

1 - 3<em>y</em> + 4<em>y</em> ² = 8

4<em>y</em> ² - 3<em>y</em> - 7 = 0

(4<em>y</em> - 7) (<em>y</em> + 1) = 0

4<em>y</em> - 7 = 0   <u>or</u>   <em>y</em> + 1 = 0

<em>y</em> = 7/4   <u>or</u>   <em>y</em> = -1

Solve for <em>x</em> :

<em>x</em> = (1 - 3 (7/4))/4   <u>or</u>   <em>x</em> = (1 - 3 (-1))/4

<em>x</em> = -17/16   <u>or</u>   <em>x</em> = 1

So the two solutions are (<em>x</em>, <em>y</em>) = (-17/16, 7/4) and (<em>x</em>, <em>y</em>) = (1, -1).

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Carol has 50 dollars and spends 10 how much is left
melomori [17]
50 dollars - 10 dollars

40 dollars is left.
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A fountain in the park has two circular pools that are the same size. What is the total area of the pools if the radius is 3 yar
mihalych1998 [28]

Answer:

56.6 square yards.

Step-by-step explanation:

Given:

A fountain in the park has two circular pools that are the same size.

<u>Question asked:</u>

What is the total area of the pools if the radius is 3 yards ?

<u>Solution:</u>

First of all we will calculate the area of a circular pool.

As we know:

Area\ of\ circle=\pi r^{2}

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Thus, the total area of the pools are 56.6 square yards.

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Answer:

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