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avanturin [10]
3 years ago
8

For each function shown:

Mathematics
1 answer:
Basile [38]3 years ago
4 0

Answer:

Given:

Function 1 : y = 0.5+3x

Function 2: y = 3(0.5)x

To find the starting point in each functions:

In function 1;

for x =0

y = 0.5+3(0) = 0.5

(0, 0.5) is the starting point

In function 2;

for x =0

y = 3(0.5)(0)= 0

(0, 0) is the starting point.

Explain how y changes as x increases.

In Function 1:

y = 0.5+3x

As  x increases,  y gradually increases by adding 3.

In Function  2:  

y = 3(0.5)x =\frac{3}{2}x

As x increases, y gradually decreases by dividing by 2.

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Abigail can read 180 words in one minute if she were to read 30 minutes each day how many days would it take to read 32,400 word
Montano1993 [528]

Answer:

It would take Abigail six days to read 32,400 words of a book if she were to read 30 minutes per day.

Step-by-step explanation:

If Abigail reads 180 words per minute, and she reads 30 minutes per day, we need to multiply 180 by 30 to figure out how many words she reads per day.

180 × 30 = 5,400

Abigail reads 5,400 words per day.

Then, we divide 32,400 by 5,400 to figure out how many days it would take Abigail to read 32,400 words.

32,400 ÷ 5,400 = 6

It would take Abigail six days to read 32,400 days.

Hope that helped!

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3 years ago
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Elena-2011 [213]
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A car travels at an average speed of 56 miles per hour. How long does it take to travel 332 miles?
nalin [4]

Answer:

d = 238 miles

Step-by-step explanation:

convert "4 hours and 15 minutes" to "hours":

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therefore:

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d = 56 * 4.25

d = 238 miles

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\left(\dfrac{3a^{-3}b^2}{2a^{-1}b^0}\right)^2

First some simplifying:

\left(\dfrac{3a^1b^2}{2a^3b^0}\right)^2=\left(\dfrac{3b^2}{2a^2}\right)^2=\dfrac{9b^4}{4a^4}

Then with a=-2 and b=-3, we have a^4=(-2)^4=16=4^2 and b^4=(-3)^4=81=9^2, so

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