Answer:
Step-by-step explanation:
Harvey rides his bike at an average speed of 12 miles in 1 hour, 24 miles in 2 hours, and so on. Let h be the number of hours he rides and d be distance traveled. Write the equation for the relationship between distance and time in point-slope form.
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You have three points relating time and distance:
(1,12),(2,24),(3,36)
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The slope for your equation would be (24-12)/(2-1) = 12/1 = 12
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The intercept is the distance you would travel in no time; that would be zero.
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The equation is: distance = 12(time)
d = 12t
Answer:
4 ( 8 - 2 ) = (-3) + 7 -> this is a false statement
Step-by-step explanation:
4 ( 8 - 2 ) = ( -3 ) + 7
Simplify the parenthesis
4 ( 6 ) = (-3) + 7
Multiply;
24 = (-3) + 7
Add, remember, adding a negative number and a positive number is the same as subtracting the negative number from the positive number,
24 = 4
This statement is not true.
9514 1404 393
Answer:
- f(x) = x
- g(x) = -2x+1
- f(x) -(-g(x)) = -x+1
- f(x) +g(x) = -x+1
- f(x)-(-g(x)) = (f+g)(x) is true for all functions f and g, linear or not
Step-by-step explanation:
We can define a couple of linear functions as ...
f(x) = x
g(x) = -2x+1
Then the reflected function -g(x) is ...
-g(x) = -(-2x +1) = 2x -1
And the difference from f(x) is ...
f(x) -(-g(x)) = x -(2x -1) = -x +1 . . . . f(x) -(-g(x))
We want to compare that to the sum of the functions:
f(x) +g(x) = x +(-2x +1) = -x +1 . . . . f(x) +g(x)
The two versions of the function expression have the same value.
These results are <em>a property of addition</em>, so do not depend on the nature of f(x) or g(x). They will hold for every function.
Step-by-step explanation:
Q.282 +15% +750
<em><u>282 +15 </u></em><em><u>/</u></em><em><u>1</u></em><em><u>0</u></em><em><u>0</u></em><em><u>+750</u></em>
<em><u>2</u></em><em><u>8</u></em><em><u>2</u></em><em><u>+</u></em><em><u>3</u></em><em><u>/</u></em><em><u>2</u></em><em><u>0</u></em><em><u>+</u></em><em><u>7</u></em><em><u>5</u></em><em><u>0</u></em>
<em><u>1</u></em><em><u>0</u></em><em><u>3</u></em><em><u>2</u></em><em><u>+</u></em><em><u>3</u></em><em><u>/</u></em><em><u>2</u></em><em><u>0</u></em>
<em><u>2</u></em><em><u>0</u></em><em><u>6</u></em><em><u>4</u></em><em><u>3</u></em><em><u>/</u></em><em><u>2</u></em><em><u>0</u></em>