When two lines are <em><u>parallel, that means they have the same slope! </u></em>
The slope is the coefficient of x
In the equation y = 3x, <u>the slope is 3 </u>
An example of a line that is above y = 3x is ...
y = 3x + 2
The "+2" <em>shifts the line up </em>by 2 on the y axis
An examples of a line that is below y = 3x is ...
y = 3x - 3
The "-3" <em>shifts the line down</em> by 3 on the y axis
You need to measure the parallel lines on and add them
Answer:
28.749 km
Step-by-step explanation:
in reality
1 foot = 0.3048 meters not 0.37
1 mile = 5,280 feet not 5,180
15 miles = 24.14016 kilometers
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Using the numbers stated in the problem
0.37m/ft * 5180ft/mile * 15mile * 1km/1000m = 28.749 km
<u>x = 3</u>
f(x) = x²+ 10x - 5
f(3) = (3)² + 10(3) - 5
f(3) = 9 + 30 - 5
f(3) = 39 - 5
f(3) = 34
g(x) = 8x + 1
g(3) = 8(3) + 1
g(3) = 25
h(x) = 3x - 4
h(3) = 3(3) - 4
h(3) = 9 - 4
h(3) = 5
<u>x = 6
</u>f(x) = x² + 10x - 5
f(6) = (6)² + 10(6) - 5
f(6) = 36 + 60 - 5
f(6) = 96 - 5
f(6) = 91
g(x) = 8x + 1
g(6) = 8(6) + 1
g(6) = 48 + 1
g(6) = 49
h(x) = 3x - 4
h(6) = 3(6) - 4
h(6) = 18 - 4
h(6) = 14
I would explain to someone that you don't need to do any calculations to know the order of the functions when x is equal to 15 by knowing that f(x) is equal to 370, g(x) is equal to 121, and h(x) is equal to 41 to know that it is easy finding the function of x without calculating the answer.
