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12345 [234]
3 years ago
10

The function f(x) is shown in this graph.

Mathematics
2 answers:
Sladkaya [172]3 years ago
6 0
The function f(x) goes down by two and over by one:
slope = rise/run = -2/1 = -2.

The slope of f(x) is -2, while the slope of g(x) is -6.

Since -2 is a greater number than -6, the answer is:
C) <span>The slope of f(x) is greater than the slope of g(x). </span>
kari74 [83]3 years ago
4 0
You can calculate the slope of the function f(x) shwon in the graph with the formula:

                rise
slope =  -------
                run

rise = change in y-direction = Δy

run = change in x - direction = Δx

                Δy      y2 - y1    [1 - 3]     - 2
slope =   ------ = --------- = -------- =  ----- - 2
                Δx      x2 - x1    [1 - 0]       1

2) The slope of the funtion g(x) defined as - 6x - 5 is the coefficient of x, which is - 6.

So, compare: - 2 > - 6, i.e. the slope of f(x) is greater than the slope of g(x).

Anxwer: the slope of f(x) is greater than the slope of g(x)
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A vegetable garden and a surrounding as a shaped like a square that together a 11 ft wide. The path is 2 feet wide. If one bag o
Alexxandr [17]

Answer:

\displaystyle     4

Step-by-step explanation:

we are given that A vegetable garden and a surrounding as a shaped like a square that together a 11 ft wide. The path is 2 feet wide.since together the width of Vegetable garden and path is 11 ft, the width of the vegetables garden will be the difference between the total width and the width of path Thus,

\displaystyle  \rm W _{ garden} = 11 - 2

simplify substraction:

\displaystyle  \rm W _{ garden} = 9

recall that, every single side of a square is equal to each other therefore the the area of the garden will be

\displaystyle    {9}^{2}

simplify square:

\displaystyle    81

together the garden and path makes a square of every side length 11 ft saying that the area will be:

\displaystyle    {11}^{2}

simplify square:

\displaystyle    121

the area of path will be the difference between the total area and the garden area therefore,

\displaystyle    121 - 81

simplify addition:

\displaystyle    40

to figure out how many bags are needed to cover the path. we just need to divide the area of the path by the area of a bag of gravel and that yields:

\displaystyle     \frac{40}{10}

simplify division:

\displaystyle     \boxed{\rm4}

hence,

<u>4</u> bags are needed to cover the path.

7 0
3 years ago
PLEASE HELP YOU’LL GET 15 POINTS<br><br> 358.41x10^5 in standard form
Aleks04 [339]

Answer:

35,841,000

Step-by-step explanation:

358.41x10^5

Move the decimal 5 places to the right

35,841,000

5 0
3 years ago
a dealership purchase a four door sedan for $17000 and then sold it at a 15% markup. the dealership paid the buyer $4000 for the
postnew [5]
15% markup on $17,000 = 17000*.15=$2550
25% markup on $4,000 = 4000*.25 = $1000

now just add the two markups.

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3 years ago
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tia_tia [17]

Answer:

x=38.5

Step-by-step explanation:

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cos(x)=\frac{18^{2} +23^{2} -205}{2(18)(23)}

x=38.5(correct to the nearest tenth)

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3 years ago
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Find c. Round to the nearest tenth
sergeinik [125]

Answer:

c = <u>0.5 cm</u>

Step-by-step explanation:

Using the Sine rule in the triangle, then

=  ( cross- multiply )

c × sin105° = 2 × sin15° ( divide both sides by sin105°

c =  ≈ 0.5 cm ( to the nearest tenth )

8 0
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