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2 years ago

6

What is the slope of the line that contains the points in the table ?

1 answer:

zubka84 [21]2 years ago

6 0

Answer: -2

Step-by-step explanation:

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Write a number sentence that compares 58,219 and 58,231

professor190 [17]

Answer:

<em>58,219 < 58,231</em>

Step-by-step explanation:

58,219 is less than 58,231, so the sentence is

58,219 < 58,231

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2 years ago

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Pedro's goal is to have more than $1200 in savings in the next 12 months. He already has $480 saved and wants to save the same a

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You have found the following ages (in years) of all 4 zebras at your local zoo: 14, 15, 9, 1 What is the average age of the zebr

joja [24]

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9.75 Average age

Step-by-step explanation:

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2 years ago

The length of a rectangle is 5 metres less than twice the breadth. If the perimeter is 50 meters,find the length and breadth

MAXImum [283]

<h3><u>S</u><u> </u><u>O</u><u> </u><u>L</u><u> </u><u>U</u><u> </u><u>T</u><u> </u><u>I</u><u> </u><u>O</u><u> </u><u>N</u><u> </u><u>:</u></h3>

As per the given question, it is stated that the length of a rectangle is 5 m less than twice the breadth.

Assumption : Let us assume the length as "l" and width as "b". So,

$\twoheadrightarrow \quad\sf{ Length =2(Width)-5}$

$\twoheadrightarrow \quad\sf{ \ell=(2b-5) \; m}$

Also, we are given that the perimeter of the rectangle is 50 m. Basically, we need to apply here the formula of perimeter of rectangle which will act as a linear equation here.

$\\ \twoheadrightarrow \quad\sf{ Perimeter_{(Rectangle)} = 2(\ell +b) } \\$

<em>l</em> denotes length
<em>b</em> denotes breadth

$\\ \twoheadrightarrow \quad\sf{50= 2(2b-5+b)} \\$

$\\ \twoheadrightarrow \quad\sf{50= 2(3b-5)} \\$

$\\ \twoheadrightarrow \quad\sf{50= 6b - 10} \\$

$\\ \twoheadrightarrow \quad\sf{50+10= 6b} \\$

$\\ \twoheadrightarrow \quad\sf{60= 6b} \\$

$\\ \twoheadrightarrow \quad\sf{\cancel{\dfrac{60}{6}}=b} \\$

$\\ \twoheadrightarrow \quad\underline{\bf{10\; m = Width }} \\$

Now, finding the length. According to the question,

$\twoheadrightarrow \quad\sf{ \ell=(2b-5) \; m}$

$\twoheadrightarrow \quad\sf{ \ell=2(10)-5\; m}$

$\twoheadrightarrow \quad\sf{ \ell=20-5\; m}$

$\\ \twoheadrightarrow \quad\underline{\bf{15\; m = Length }} \\$

<u>Therefore</u><u>,</u><u> </u><u>length</u><u> </u><u>and</u><u> </u><u>breadth</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>r</u><u>ectangle</u><u> </u><u>is</u><u> </u><u>1</u><u>5</u><u> </u><u>m</u><u> </u><u>and</u><u> </u><u>10</u><u> </u><u>m</u><u>.</u><u> </u>

7 0

3 years ago

What is the inverse of the function f(x)=1/9x+2

Anna35 [415]

Answer:

$f^{-1}(x)=9x-18$

Step-by-step explanation:

we have

$f(x)=\frac{1}{9}x+2$

Let

$y=f(x)$

$y=\frac{1}{9}x+2$

Exchange variables x for y and y for x

$x=\frac{1}{9}y+2$

Isolate the variable y

$x-2=\frac{1}{9}y$

$y=9(x-2)$

$y=9x-18$

Let

$f^{-1}(x)=y$

$f^{-1}(x)=9x-18$ -------> inverse function

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3 years ago

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