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Nutka1998 [239]
3 years ago
14

I'll give you 25 points if you can give me 3 crowns

Mathematics
1 answer:
Anni [7]3 years ago
4 0

Answer:

This is 3 crowns.

Step-by-step explanation:

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State the domain of the rational function. f(x) = seventeen divided by quantity five minus x
alexandr1967 [171]

If we are going to write the equation in its mathematical form, we will see that it becomes,

<span>                                        f(x) = 17/(x – 5)</span>

The domain of the function is the number of x that would allow us to solve the equation and get a real value for f(x). In this equation, x can take any real numbers so long as it is not 5. This is because 5 – 5 in the denominator will lead to 0 which in turn makes the equation indefinite.

<span> </span>

4 0
3 years ago
What is the domain and range of f(x)=2.5x when x goes up to 800
Mandarinka [93]

Answer:

Domain:  all real numbers.  Range:  (-∞, 2000]

Step-by-step explanation:

f(x)=2.5x is a simple "ramp" function, a linear function and a polynomial.  As such, its domain contains "all real numbers."  That value 800 defines the largest value that this f(x) can have:  f(800) = 2.5(800)  = 2000.  

Thus, the range is "all real numbers from -∞ through and including 2000."

3 0
3 years ago
Please help i really need help <br> thanks
Grace [21]

Answer:

B. 31.62

Step-by-step explanation:

First, find the distance of the line using the distance formula, d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1} )^2   }. Plug the two points (-1,0) and (5,2) into the formula and solve. This gives you 6.32, then this is only one line of a pentagon, which has 5 sides, so you need to multiply. Since you are finding the perimeter, which is all of the sides added together, multiply the one side by 5. 6.32*5=31.62.

6 0
3 years ago
4ab (a -b) + b (2b -2a²) for a = 1 and b= -1<br> simplify it
aleksley [76]

Answer:

Step-by-step explanation:

4ab(a-b)+b(2b-2a^2)

=4*1*-1[1-(-1)]+(-1){2(-1)-2*1^2}

=-4(1+1)-1{-2-2}

=-4*2-1(-4)

=-8+4

=-4

3 0
3 years ago
Read 2 more answers
A homeowner has an octagonal gazebo inside a circular area. Each vertex of the gazebo lies on the circumference of the circular
Tcecarenko [31]

If we draw the diagonals of the octagonal gazebo, the 4 diagonals divide the octagon into 8 triangles.

Note that each triangle is an isosceles triangle whose equal sides are x, the radius of the circle.

The top angle of each triangle is obtained by dividing the full angle by 8.

So, each top angle = \frac{360}{8}

= 45°

Now, in fig., consider one of the triangles Δ OAB. Draw an altitude OC from O to the opposite side AB.

This altitude OC bisects the top angle 45°.

Therefore, ∠ AOC = 22.5°.

Now, in Δ AOC,

sin 22.5=\frac{AC}{OA}

=\frac{AC}{x}

So, AC = x sin 22.5°

Note that, AB = 2 AC.

Therefore, AB = 2x sin 22.5°.

Also, cos 22.5=\frac{OC}{OA}

=\frac{OC}{x}

So, OC = x cos 22.5°.

Area of Δ AOB = \frac{1}{2}(AB)(OC)

= \frac{1}{2} × (2x sin 22.5°) × (x cos 22.5°)

= \frac{1}{2} x^{2} (2 sin 22.5° cos 22.5°)

= \frac{1}{2} x^{2} sin 45°

= x^{2} / 2\sqrt{2}

Area of the octagonal gazebo = 8 × one triangular area

= 8 × (x^{2} / 2\sqrt{2})

=2\sqrt{2} x^{2}

=2.828x^{2}

Area required for mulch = circular area - area of the gazebo

=3.14x^{2} -2.828x^{2}

=0.312x^{2}

Now, cost per unit area = $1.50.

Hence, total cost g(m) = area × cost per unit area

Total cost g(m) = 0.312x^{2} × 1.5

=0.468x^{2}

Hence, total cost g(m) = 0.468x^{2}.

4 0
3 years ago
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