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3 years ago

What would be the function for this?

Mathematics

1 answer:

coldgirl [10]3 years ago

7 0

Answer:

f(x) = 2x + 4

Step-by-step explanation:

This is an arithmetic sequence

y = a1 + (x - 1)d where a1 = first term and d = common difference so it is

y = 6 + (x - 1)*2

y = 2x + 4 answer

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A pigpen is to be enclosed using 640 m of fencing along three of its sides, the fourth side being a barn. Determine the dimensio

Basile [38]

Answer:

$W_{max}=480m\\ L_{max}=160m$

Step-by-step explanation:

Since we know we only have 640 feet of fence available, we know that L + W + L = 640, $\implies$ 2L + W = 640. This allows us to represent the width, W, in terms of L: W = 640 – 2L

Remember, the area of a rectangle is equal to the product of its width and length, therefore,

$A_{\rm pigpen}=L(640-2L)\implies 640L-2L^2$

Notice that, quadratic has been vertically reflected, since the coefficient on the squared term is negative, so the graph will open downwards, and the vertex will be a maximum value for the area.

recall,

$x_{max}=-b/2a$
$f(x)_{max}=f(x_{max})$

Since our function is A(L)=640L-2L², we get

a=-2
b=640

plug in the value of a and b into the first formula:

$L_{max}=-(640)/2(-2)\implies 160$

$A(L)_{max}=640(160)-2(160)^2\implies 76800$

hence,the dimensions of the pen that will maximize the area are L=160m and W=76800/160=480m

and we're done!

3 0

2 years ago

. Round off the answer correctly.. . 8.7 g + 15.43 g + 19 g = 43.13 g . . a. 43.130 g. b. 43.1 g. c. 43 g. d. None of the abov

arsen [322]

Round off the answer correctly.. . 8.7 g + 15.43 g + 19 g = 43.13 g .
a. 43.130 g.
b. 43.1 g.
c. 43 g.
d. None of the above..
From the above given answers , most appropriate answer is "43.1" g. as according to the rounding rules, if the last number of digit is smaller than 5, then we leave the digit we want to round to alone.

3 0

3 years ago

What is 40 percent of 90 percent

Brums [2.3K]

Answer:0.36

or 36

Step-by-step explan: used calculator

5 0

2 years ago

3z^2-4z+11 -(12z^2+2z-11 find the difference . polynomials functions

Brrunno [24]

Answer:

−135z

−2z
The 2 is representing Square

Step-by-step explanation:

(3z)
2

−4z+11−(12z)
2

+2z−11

Expand (3z)

−4z+11−(12z)

+2z−11

Calculate 3 to the power of 2 and get 9.

−4z+11−(12z)

+2z−11

Expand (12z)

−4z+11−12

+2z−11

Calculate 12 to the power of 2 and get 144.

−4z+11−144z

+2z−11

Combine 9z

and −144z

to get −135z

−135z

−4z+11+2z−11

Combine −4z and 2z to get −2z.

−135z

−2z+11−11

Subtract 11 from 11 to get 0.

−135z

−2z

6 0

2 years ago

I need help with this

LiRa [457]

Answer:

Since

and

have the same denominator, add them by adding their numerators.

Step-by-step explanation:

7 0

2 years ago