<h2>
Hello!</h2>
The answer is:
The slope of the hill is equal to 2.
<h2>Why?</h2>
To solve the problem, we need to remember that the slope of a line, is the rate of increase or decrease of the line.
From the statement we know that the tallest peak of the roller coaster is 310 feet (y), while the roller coaster travels 155 horizontal feet (x), so, calculating we have:
Then, substituting the given information and calculating, we have:
We have that the slope of the hill is equal to 2.
Have a nice day!
Hey!
To start solving equation, we should first distribute the parenthesis. We do this so that we can get rid of the parenthesis.
<em>Original Equation :</em>
3 ( x - 4 ) ≥ 5x + 2
<em>New Equation {Changed by Distribution} :</em>
3x - 12 ≥ 5x + 2
Next, we'd add 12 to both sides of the equation to get rid of the 12 on the left side of the equation.
<em>Old Equation :</em>
3x - 12 ≥ 5x + 2
<em>New Equation {Changed by Adding 12 to Both Sides} :</em>
3x ≥ 5x + 14
Now we subtract 5x from both sides of the equation to get rid of the 5x from the right side.
<em>Old Equation :</em>
3x ≥ 5x + 14
<em>New Equation {Changed by Subtracting 5x From Both Sides} :</em>
-2x ≥ 14
Now we must inverse the inequality. To do that we multiply both sides by -1.
<em>Old Equation :</em>
-2x ≥ 14
<em>New Equation {Changed by Inverse} :</em>
2x ≤ -14
Just by looking at the equation, you can easily tell that it needs to be simplified. So, that's what we'll do next.
<em>Old Equation :</em>
2x ≤ -14
<em>New Equation {Changed by Dividing Both Sides by Two} :</em>
x ≤ -7
Seeing as the equation cannot be simplified any further, we have our answer.
<em>The value of x in the inequality </em><span><em>of 3 ( x – 4 ) ≥ 5x + 2, is </em> x </span>≤ -7.
Hope this helps!
- Lindsey Frazier ♥
Of course! Just study hard, exams are a big part of your grade most of the time! I also have exams
Heres a trick a friend of mine taught me,
When trying to find the number of sig. figs. in a number, first check for a decimal point.
If there is not a decimal point (as in this case) then count each digit from right to left, starting at the first non-zero digit.
Example 1: 34,696 it would be 5 significant figures (6, 9, 6, 4, 3)
Example 2: 34,600 would be 3 sig figs (6, 4, 3), the two 0's in this number do not count as sig figs.
If there IS a decimal point, then count from left to right starting from the first non-zero digit.
Example 1: 0.0001 would be one significant figure (1)
Example 2: 1.02345 would be six sig figs, (1, 0, 2, 3, 4, 5)
Now back to the actual question...
If you were to estimate 34,696 to 2 sig figs, then according the the rules of estimating, because the '6' in the hundreds place is greater or equal to 5, the next digit (in the thousands place) must have one added to it.
So 35,000 would be the proper way to round 34,696.
How to check: Count from left to right, the first non-zero digit is 5, so (5, 3).
Hope this helps! :D
