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She wants to create a rectangular area of 1,600 square feet for her pet and can afford to purchase 160 feet of fence. In two or

kap26 [50]

Answer: x = 40 and y = 40

Step-by-step explanation:

We can write the equation for the area as: x*y = 1600

We can write the equation for the perimeter as: 2x + 2y = 160

An easy way to solve a question like this is to graph both equations on a graphing calculator, if you don't have one on you you can use Desmos

Graph both: y = 1600/x

and

y = 80 - x

Turns out you get x = 40 and y = 40

8 0

2 years ago

What is the function for a table with a domain of 5, 10, 15, 20 and a range of 40, 80, 120, and 160

kykrilka [37]

To find the range we need to find the vertex of the parabola which is at (-b/2a , y)

-b/2a would be 2/2 = 1 ... so find the y value at x = 1

12 - 2(1) - 15 = 1-17 = -16

So the vertex is at (1,-16)

Since the parabola opens upward from that point the minimum value of the range is y = -16

The range would include the point -16 so it is actually

R = [-16,infinity)

6 0

2 years ago

What is the smallest positive integer for x so that f(x)=200(2)* is greater than the value of g(x)=500x+400?

Goshia [24]

We have to functions, namely:

$f(x)=200(2)^{x} \ and \ g(x)=500x+400$

So the problem is asking for the smallest positive integer for $x$ so that $f(x)$ is greater than the value of $g(x)$ , that is:

$f(x)\ \textgreater \ g(x) \\ \therefore 200(2)^{x}\ \textgreater \ 500x+400$

Let's solve this problem by using the trial and error method:

$for \ x=1 \\f(1)=400 \\ g(1)=900 \\ Then \ f(1) \ \textless \ g(1) \\ \\ \\ for \ x=2 \\f(2)=800 \\ g(2)=1400\\ Then \ f(2)\ \textless \ g(2) \\ \\ \\ for \ x=3 \\f(3)=1600 \\ g(3)=1900 \\ Then \ f(3)\ \textless \ g(3) \\ \\ \\ for \ x=4 \\f(4)=3200 \\ g(4)=2400 \\ \boxed{Then \ f(4)\ \textgreater \ g(4)}$

So starting $x$ from 1 and increasing it in steps of one we find that:

$f(x)>g(x)$

when $x=4$

That is, the smallest positive integer for $x$ so that the function $f(x)$ is greater than $g(x)$ is 4.

8 0

3 years ago

CE

Ainat [17]

Answer:

1. Transcrie din text enunturile potrivite următoarelor afirmaţii.

a Tocănel vorbeşte şi-l înţelege pe stăpân.

b. In imaginația copilului, cocoşii de lemn au viață.

c In închipuirea lui Bănică, greierul respectă indicaţiile lui.

c is the answer

Step-by-step explanation:

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