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noname [10]
3 years ago
13

2.2.17 Given the function H(v) = 10v +9, find each of the following. H(3) =

Mathematics
1 answer:
artcher [175]3 years ago
6 0
The answer is H(3) = 39
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A girl ran from her home to a store at the rate of 6 mph, and she walked back home at the rate of 4 mph. if it took 15 minutes f
viva [34]

Home is 0.6 miles away from the store

How to solve such time related questions?

The key concept for solving such questions is the relationship between speed, distance and time.

The relationship between them is Distance = Speed x Time

Given:-

Total time taken by girl to complete the trip = 15 minutes = \frac{1}{4} hours

Speed while riding going = 6 miles per hour

Speed while coming back = 4 miles per hour

Total time taken by girl  =

Time taken while going +   Time taken while coming back      - (1)

  Let x be distance from home to store

       \frac{x}{6} =  Time taken while going

\frac{x}{4} = Time taken while coming back

    Substituting in (1) we get

      \frac{1}{4} =  \frac{x}{6} + \frac{x}{4}

      \frac{1}{4} =  \frac{2x + 3x}{12}

       \frac{1}{4} =  \frac{5x}{12}

      x= \frac{12}{20}

    x = 0.6 miles

Thus home is 0.6 miles away from the store

Learn more about time related  here :

brainly.com/question/12759408

#SPJ4

6 0
2 years ago
A line is defined by the equation y = two-thirds x minus 6. The line passes through a point whose y-coordinate is 0. What is the
DedPeter [7]

y = \cfrac{2}{3}x~~ - ~~6~\hspace{10em} (\stackrel{x}{?}~~,~~\stackrel{y}{0}) \\\\\\ 0=\cfrac{2}{3}x~~ - ~~6\implies 6=\cfrac{2x}{3}\implies 18=2x\implies \cfrac{18}{2}=x\implies 9=x

3 0
2 years ago
Which two numbers of the given data set have the same absolute value? Explain your answer in full sentences. -5, 5, -3, 8
Rus_ich [418]

<u>Answer</u>

-5 and 5

<u>Explanation</u>

Absolute value generally means the considering the magnitude only but not the sign. -5 and 5 have the same magnitude.

/-5/ = 5

/+5/ = 5


7 0
3 years ago
Read 2 more answers
13. Determine the length of BD, given by x in the figure. Give your answer to two decimal places.
gregori [183]

Answer:

6.71

Step-by-step explanation:

Use the Pythagorean Theorem with the triangle:

6^2 + 3^2 = x^2

x = 6.71

7 0
2 years ago
What is the slope of the line given by the equation y=-3X?​
Nookie1986 [14]

Answer:

The slope is -3

Step-by-step explanation:

y=mx+b

m=slope

m=-3

slope=-3

hope this helps!

7 0
3 years ago
Read 2 more answers
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