13/17 as a decimal rounded to the nearest tenth
1 answer:
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Answer:
The third option: "A coordinate plane with a line passing through (0, negative 4) and (2, 0)."
Step-by-step explanation:
Use the equation defined by the function: y = 2x - 4 to check the (x, y) values they give you. If they both render true mathematical statements, those are indeed points on the plane that belong to the given line.
For the third case; the pairs (0,-4) and (2,0), both satisfy the equation of the line that is given.
For (0,-4): y = 2x - 4 becomes:
which is a TRUE statement
For (2,0): y = 2x - 4 becomes:
which is also a TRUE statement.
This option is the only one that verifies both given points as truly being part of the given line.
The <u>correct answer</u> is:
6 mph.
Explanation:
We will use the formula d = rt for this, where d is <u>distance</u>, r is <u>rate</u>, and t is <u>time</u>.
We know that the time for both distances is the same; this means we want to isolate t in our formula. To do this, we will cancel r by dividing both sides:
d/r = rt/r
d/r = t
We will write an expression for the time upstream, an expression for the time downstream, and set them equal.
For the time upstream, the distance is 6 and the rate is 24-x; this gives us
For the time downstream, the distance is 10 and the rate is 24+x; this gives us
Together, these give us the equation
We cross-multiply to solve this:
6(24+x) = 10(24-x)
Using the distributive property, we have
6*24 + 6*x = 10*24 - 10*x
144+6x = 240-10x
Adding 10x to each side,
144+6x+10x = 240-10x+10x
144+16x = 240
Subtract 144 from each side:
144+16x-144 = 240-144
16x = 96
Divide both sides by 16:
16x/16 = 96/16
x = 6
6 mph.
Explanation:
We will use the formula d = rt for this, where d is <u>distance</u>, r is <u>rate</u>, and t is <u>time</u>.
We know that the time for both distances is the same; this means we want to isolate t in our formula. To do this, we will cancel r by dividing both sides:
d/r = rt/r
d/r = t
We will write an expression for the time upstream, an expression for the time downstream, and set them equal.
For the time upstream, the distance is 6 and the rate is 24-x; this gives us
For the time downstream, the distance is 10 and the rate is 24+x; this gives us
Together, these give us the equation
We cross-multiply to solve this:
6(24+x) = 10(24-x)
Using the distributive property, we have
6*24 + 6*x = 10*24 - 10*x
144+6x = 240-10x
Adding 10x to each side,
144+6x+10x = 240-10x+10x
144+16x = 240
Subtract 144 from each side:
144+16x-144 = 240-144
16x = 96
Divide both sides by 16:
16x/16 = 96/16
x = 6