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salantis [7]
3 years ago
8

The function g(x) = \frac{1}{2}\left| {x} \right|g(x)= 21​ ∣x∣ is a transformation of the absolute value parent function. Which

graph shows g(x)?

Mathematics
1 answer:
Alchen [17]3 years ago
6 0

Answer:

A

Step-by-step explanation:

From what we have , it is expected that the parent function is a v-shaped graph that starts from the origin

The expected equation parent function should be;

y = |x|

Now, moving on, the transformed function is 1/2 of the parent function

This shows a direct compression of the initial partner function

So, it is expected that the transformed function is more compressed compared to the initial parent function

so, the correct choice of answer here is first option

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Joel can run around a 14– mi track in 81 sec, and Jason can run around the track in 69 sec. If the runners start at the same poi
Alenkasestr [34]

Answer:37.2 sec

Step-by-step explanation:

Given

Joel takes 81 sec for 14 mile long track

speed of joel \frac{14}{1.35} mi/min=10.37 mi/min

Jason takes 69 sec for 14 mi track

so jason speed is \frac{14}{1.15} mi/min=12.17 mi/min

if both starts from same spot in opposite direction then

\frac{x}{10.37}=\frac{14-x}{12.17}

where x is distance covered by Joel

then x=6.44 miles

therefore time required

t=\frac{6.44}{10.37}=0.621 min\approx 37.2 sec

8 0
4 years ago
The length of a rectangle is three more than twice its width the perimeter of a rectangle is 42 cm what is the length of the rec
Maurinko [17]

Answer:

The length of the rectangle is 15 cm.

Step-by-step explanation:

breadth(b)=?

length(l)= 3+2b

perimeter(P)= 42 cm

Now,

  P = 2 ( l+b )

or, 42= 2 ( 3+2b+b)

or, 42 = 2 ( 3+3b)

or, \frac{42}{2} = 3+3b

or, 21 = 3+3b

or, 21-3 =3b

or, 18 = 3b

or, \frac{18}{3} = b

or, 6 = b

Here, Breadth(b)= 6 cm

Length (l) = 3 + 2*6

              = 3 + 12

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5 0
3 years ago
Randall buys a wooden board that is 5 7/8 feet long. The cost of the wooden board is 0.25 per foot including tax. Enter the tota
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Answer:

Total Cost = $1.47

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Length of the wooden board = 5\frac{7}{8} =\frac{47}{8}

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Total Cost = $1.47

7 0
3 years ago
In this figure, AB || CD and m/1 = 110*. A / What is m/5? 5/6 8/ 7 D Enter your answer in the box.​
pashok25 [27]

Answer:

240°

Step-by-step explanation:

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In △BME 

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In △DMF

∠DMF+∠MDF+∠MFD=180∘ (Angle sum property )

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x=∠DMF+∠BME+∠EMF

x=15∘+45∘+180∘x=240∘

6 0
3 years ago
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