F(x) = - 55x + 330

The domain is the set of possible input-values, i.e. x-values.

You know that f(x) cannot bebigger than 330 not lower than zero, then construct the inequality:

0 ≤ f(x) ≤ 330

0 ≤ - 55x + 330 ≤ 330

Multilply by - 1 and change the inequality signs:

0 ≥ 55x - 330 ≥ -330

Add 330 to all the members

330 ≥ 55x ≥ 0

Divide by 55

6 ≥ x ≥ 0 => 0 ≤ x ≤ 6

The the possible x-values (practical domain) is all the real numbers between 0 and 6 inclusive.

7 0

3 years ago

You design a tree house using a coordinate plane in which the coordinates are measured in feet. The vertices of the floor are (-

Nikitich [7]

Answer:

Perimeter = 28 yards

Area = 49 square yards.

Step-by-step explanation:

Distance formula:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Let as consider the vertices of the floor are A(-2,-3), B(-2,4), C(5,4) and D(5,-3).

Using distance formula, we get

$AB=\sqrt{(-2-(-2))^2+(4-(-3))^2}=\sqrt{(-2+2)^2+(4+3)^2}=\sqrt{0+7}^2=7$

Similarly,

$BC=\sqrt{(5-(-2))^2+(4-4)^2}=7$

$CD=\sqrt{(5-5)^2+(4-(-3))^2}=7$

$AD=\sqrt{(5-(-2))^2+(-3-(-3))^2}=7$

It is conclude that, $AB=BC=CD=AD$ .

From the given points it is clear that all sides lie on either vertical or horizontal lines.

Since all sides are equal, and adjacent sides are perpendicular, therefore, the base is a square with edge 7 yards.

Perimeter of square floor is

$P=4a=4(7)=28\text{ yards}$

Area of square floor is

$A=a^2=7^2=49\text{ sq. yards}$

Therefore, the perimeter is 28 yards and the area is 49 square yards.

7 0

3 years ago

What is the approimate area of the shaded area with 8

JulsSmile [24]

Answer: picture pleasee

Step-by-step explanation:

8 0

3 years ago

Please Help Solve <br> 8 = 7/6 (b)

sukhopar [10]

B=48/7 you simplify 7/b(b) to 7b/6
Then multiply both sides by 6 so 8 x 6 =7b then simplify 8 x 6 =48
And divide both sides by 7 48\7 then switch sides b=48/7

4 0

3 years ago