Answer:
n = -4
Step-by-step explanation:
2 - 1/2 n = 3n + 16
Combine the constants by subtracting 2 from both sides.
-1/2n = 3n + 14
Combine the variable by subtracting 3n from both sides.
-7/2n = 14
Multiply both sides by 2 to simplify the fraction.
-7n = 28
Isolate n by dividing by -7 on both sides.
n = -4
Check.
2 - 1/2(-4) = 3(-4) + 16
2 + 2 = -12 + 16
4 = 4
Your answer is correct.
It would be (B) because 450+200x4=2620 fence posts
Answer:
Force = - 2.1 Newton
Step-by-step explanation:
According to question ,
The value of Spring constant , K = 7 N/m Newton per meter
And the spring is extended up to 0.3 meter
The Force experience on the spring is calculated from the Hook's Law
<u>The principal state that , the force applied on spring to extend or compress the spring to some distance is proportion to that distance. </u>
Let the force be F
So, F = - K X
where K is spring constant and X is its displacement
Negative sign shows displacement of spring once it is stretched
And K is spring constant
So ,Force = ( - ) 7 × 0.3
I.e Force = - 2.1 Newton Answer
In the future, please post the full problem with all included instructions. After doing a quick internet search, I found your problem listed somewhere else. It mentions two parts (a) and (b)
Part (a) asked for the equation of the line in y = mx+b form
That would be y = -2x+9
This is because each time y goes down by 2, x goes up by 1. We have slope = rise/run = -2/1 = -2. This indicates that the height of the candle decreases by 2 inches per hour. The slope represents the rate of change.
The initial height of the candle is the y intercept b value. So we have m = -2 and b = 9 lead us from y = mx+b to y = -2x+9
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Part (b) then asks you to graph the equation. Because this is a linear equation, it produces a straight line. We only need 2 points at minimum to graph any line. Let's plot (0,9) and (1,7) on the same xy grid. These two points are the first two rows of the table. Plot those two points and draw a straight line through them. The graph is below