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inysia [295]
3 years ago
8

Daniel and Stanley leave Stanley's house at the same time. Daniel drives north and Stanley drives west. Daniel's average speed i

s 11 mph slower than Stanley's. At the end of one hour, they are 45 miles apart. Find Stanley's average speed. (Round your answer to the nearest tenth.)
Mathematics
1 answer:
masya89 [10]3 years ago
7 0

Answer: Stanley's average speed is 28 mph.

Step-by-step explanation:

Let x represent Stanley's average speed.

Daniel's average speed is 11 mph slower than Stanley's. This means that Daniel's average speed is

(x - 11) mph.

Distance = speed × time

At the end of one hour, they are 45 miles apart. Distance covered by Stanley after 1 hour would be

x × 1 = x miles

Distance covered by Daniel after 1 hour would be

1 × (x - 11) = (x - 11) miles.

Since the total distance covered is 45 miles, then

x + x - 11 = 45

2x = 45 + 11

2x = 56

x = 56/2

x = 28 mph

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How do you find the difference between 6/8 - 1/7
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Answer:to find the difference between 6/8 and 1/7, you need to make the denominators (the bottom numbers) the same. turn 6/8 into 42/56. then turn 1/7 into 8/56. you’ll then do 42/56-8/56. so it’ll be 42-8=36. so it will come out to 36/56, which is (when simplified) is 9/14. your answer will be 9/14.

Step-by-step explanation:

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3 years ago
1)The table below represents a linear function f(x) and the equation represents a function g(x):
irga5000 [103]
<span>1)The table below represents a linear function f(x) and the equation represents a function g(x):

 x     y
-1  -11
 0   -1
 1    9


g(x) = 5x + 1

Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points)

slope of the data of the table:

slope = rise / run = Δy / Δx = [ 9 - ( - 1) ] / [1 - 0] = 10/1 = 10

Also Δy / Δx =  [-1 - (-11) ] / [ 0 - (-1) ] = 10 / 1 = 10

the slope of the function given in the form f(x) = mx + b is m, so the slope of g(x) = 5x - 1 is 5.

Comparisson: the slope of the function g(x) = 5x - 1 is half the slope of the function f(x) represented by the table.

Part B: Which function has a greater y-intercept? Justify your answer.

The y-intercept is the value of y when x = 0, so it is - 1 for the function represented by the table.

The y-intercept of a function given in the form f(x) = mx + b is b, so the y-intercept of g(x) = 5x - 1 is - 1.

So, both functions have equal y-intercept.

2)The table below shows the values of y for each value of x:

x  y
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Part C: Write an ordered pair to represent the input and output of the function in Part B when Jess is at a distance of p meters from the hoop. (2 points)

input, p         output, f(p)

6                       -6 + 6 = 0

So the ordered pair is (6,0)
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