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Rudik [331]
3 years ago
10

The area of this rectangle is given by the quadratic function

Mathematics
1 answer:
Sonja [21]3 years ago
6 0

<em>The function uses W as the variable but the options show only x's as the variable, so I'm asumming W in the answer</em>

Answer:

0 < W < 50

Correct option: A

Step-by-step explanation:

<u>Domain of functions</u>

Some functions have restricted values of the independent variable x. It can be due to mathematical restrictions, like dividing by 0 or taking the square root of a negative number, of it can be due to practical conditions of the situation being modeled.

In this case, the area of a rectangle is given by the quadratic function.

A=50W - W^2

Since the area of a rectangle cannot be negative (and should be positive, though it could be zero), the practical domain of A is determined when

50W - W^2\geq 0

Taking common factor W

W(50 - W)\geq 0

Since W must be positive W>0

50 - W\geq 0

Or equivalently

50 \geq W

W \leq 50

The total interval is

0 < W

Correct option: A

Please note: The real restriction should be

0 < W\leq 50

if we allowed the area to be positive, but I'm providing the most possible correct available option

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Juli2301 [7.4K]

Answer:

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5 0
3 years ago
What are the X and Y intercepts of y= -2(x-4)2 +3
kari74 [83]

Answer: x-intercepts are ( 2.775,0) and (5.225,0)

And y-intercept is (0,-29)

Step-by-step explanation:

Here the given equation is,

y = -2(x-4)^2+3

For x-intercept, y = 0,

Put y = 0 in the above equation of parabola,

We get, -2(x-4)^2 + 3 = 0

-2(x^2+16+8x) + 3 = 0

-2x^2-32-16x + 3 = 0

-2x^2-16x -29 = 0

By solving this equation,

We get, x = 2.775 or x = 5.225

Therefore, x-intercept of the given parabola are (2.775, 0) and (5.225,0)

Now, for y-intercept, x = 0

By putting x = 0 in the given equation of parabola,

We get, y = -29

Thus, y-intercept of the given parabola = (0,-29)



4 0
3 years ago
A plumber charges $50 for a house call plus an additional $12 per hour for labor
velikii [3]
$62 is both numbers added together
6 0
2 years ago
need help understanding how to solve this. compare f(x)=b^x-c when c&gt;0 to the basic function h(x) = b^x.
Sladkaya [172]

A nonlinear function that can be written on the standard form

<span><span>a<span>x2</span>+bx+c,wherea≠0</span><span>a<span>x2</span>+bx+c,wherea≠0</span></span>

is called a quadratic function.

All quadratic functions has a U-shaped graph called a parabola. The parent quadratic function is

3 0
3 years ago
The glee club is having their annual Spring performance. The equation 5a+2s=48 represents the money collected on the first night
V125BC [204]
First, put them directly above each other.
5a+2s=48
3a+2s=32

You need to combine these, but in order to do so, we want to get rid of one of the letters. The S's line up very well, and all we need to do is multiply the bottom equation by a negative 1. This will look like this,
-3a-2s=-32                        (and add it to the other equation)
5a+2s=48
                         This gives you
2a=16
Divide both sides by 2 to get a by itself.

a=8, is your answer!

If it asked for s, you would put 8 into whichever equation seems easier for you, and then its just simple crunching it out.

Hope this helped!
4 0
3 years ago
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