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3 years ago

10

A farmer wants to build a rectangular pen using 20 feet of fencing, but the length is to be 4 feet more than the width. What is

the length of the pen, in feet?

1 answer:

laila [671]3 years ago

3 0

Answer:

The length of the rectangular pen is 40ft. The width of the rectangular pen is 20ft

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Express the fraction in the simplest form 36/63.

enyata [817]

The answer is 4/7. Hope I was able to help

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3 years ago

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Let f(x) = Square root x. Find g(x), the function that is f(x) shifted up 7 units and left 1 units.

Rudik [331]

$~\hspace{10em}\textit{function transformations} \\\\\\ \begin{array}{llll} f(x)= A( Bx+ C)^2+ D \\\\ f(x)= A\sqrt{ Bx+ C}+ D \\\\ f(x)= A(\mathbb{R})^{ Bx+ C}+ D \end{array}\qquad \qquad \begin{array}{llll} f(x)=\cfrac{1}{A(Bx+C)}+D \\\\\\ f(x)= A sin\left( B x+ C \right)+ D \end{array} \\\\[-0.35em] ~\dotfill$

$\bullet \textit{ stretches or shrinks horizontally by } A\cdot B\\\\ \bullet \textit{ flips it upside-down if } A\textit{ is negative}\\ ~~~~~~\textit{reflection over the x-axis} \\\\ \bullet \textit{ flips it sideways if } B\textit{ is negative}\\ ~~~~~~\textit{reflection over the y-axis} \\\\ \bullet \textit{ horizontal shift by }\frac{ C}{ B}\\ ~~~~~~if\ \frac{ C}{ B}\textit{ is negative, to the right}\\\\ ~~~~~~if\ \frac{ C}{ B}\textit{ is positive, to the left}$

$\bullet \textit{ vertical shift by } D\\ ~~~~~~if\ D\textit{ is negative, downwards}\\\\ ~~~~~~if\ D\textit{ is positive, upwards}\\\\ \bullet \textit{ period of }\frac{2\pi }{ B}$

keeping in mind that template, let's take a looksie

$f(x) = \sqrt{x}\implies f(x) = A\sqrt{Bx + C}+D\implies f(x) = 1\sqrt{1x+0}+0 \\\\\\ \begin{cases} D = \stackrel{\textit{shifted up}}{+7}\\ C = \stackrel{\textit{left shift}}{+1} \end{cases}~\hspace{4em}g(x) = 1\sqrt{1x+1}+7\implies g(x) = \sqrt{x+1}+7$

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3 years ago

Find the number of real number solutions for the equation. x^2+0x-1=0

larisa86 [58]

<span>x^2 + 0x - 1 = 0

x^2 - 1 = 0

This is a difference of two squares which factors into the product of a sum and a difference with the pattern: a^2 - b^2 = (a + b)(a - b).

(x + 1)(x - 1) = 0

x + 1= 0 or x - 1 = 0

x = -1 or x = 1

Answer: There are two real solutions.</span>

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60 tenths as a decimal

vodka [1.7K]

Answer:

6

Step-by-step explanation:

60 tenths :

60*1/10 = 6

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Murrr4er [49]

Y = mx + c

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