The slope of a line on a graph describes how "steep" the curve is by using the rise divided by the run (y=mx+b). The slope on the line graph usually represents how much of an increase or decrease is occurring per each unit
Answer:
6
Step-by-step explanation:
The order of the polynomial is 6 (look at the highest exponent). So there are 6 roots.
Answer:
Simplifying
6x + -2y = 30
Solving
6x + -2y = 30
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '2y' to each side of the equation.
6x + -2y + 2y = 30 + 2y
Combine like terms: -2y + 2y = 0
6x + 0 = 30 + 2y
6x = 30 + 2y
Divide each side by '6'.
x = 5 + 0.3333333333y
Simplifying
x = 5 + 0.3333333333y
Step-by-step explanation:
<h3>
Answer: 16 miles</h3>
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Explanation:
x = time in hours spent going upstream
5-x = remaining time in hours spent going downstream
Those two quantities add to 5 hours total.
Let's find the expression for how far the fisherman went upstream
distance = rate*time
d = r*t
d = 2x
Do the same for the downstream portion
d = r*t
d = 8(5-x)
d = 40-8x
The values of d refer to the same distance because he came back to the starting point.
Set those right hand sides equal to one another and solve for x.
2x = 40-8x
2x+8x = 40
10x = 40
x = 40/10
x = 4
5-x = 5-4 = 1
He spent 4 hours going upstream, and the remaining 1 hour coming back downstream.
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If he spent 4 hours going upstream at 2 mph, then he traveled d = r*t = 2*4 = 8 miles.
The remaining 1 hour going downstream at 8 mph means he traveled d = r*t = 8*1 = 8 miles, which matches with the previous result. This confirms we have the correct one-way distance of 8 miles.
Therefore, the total round trip distance is 2*8 = 16 miles
Answer:
Tom buys 3 shirts.
Step-by-step explanation:
$36 + $9 = $45
$45 ÷ $15 = 3
(I hope i got this correct, if not please forgive me!)
