<u>We are given:</u>
An even number 'n', multiplied by the next consecutive even number is 168
<u>Solving for n:</u>
From the given statement, we can say that:
n(n+2) = 168 [<em>n multiplied by the next even number 'n+2'</em>]
n² + 2n = 168
n² + 2n - 168 = 0 [<em>subtracting 168 from both sides</em>]
We can see that we now have a quadratic equation, solving using splitting the middle term
n² + 14n - 12n - 168 = 0
n(n + 14) -12(n + 14) = 0 <em>[factoring out common terms</em>]
(n-12)(n+14) = 0
Here, we can divide both sides by either (n-12) OR (n+14)
Checking the result in both the cases:
(n + 14) = 0/(n-12) (n-12) = 0/(n+14)
n + 14 = 0 n - 12 = 0
n = -14 n = 12
Both these values are even and since we are not told if the number 'n' is positive or negative, both 12 and -14 are the possible values of n
The line of best-fit that represents the relationship between velocity and time is:
v = 2.19t + 6.7.
<h3>How to find the equation of linear regression using a calculator?</h3>
To find the equation, we need to insert the points (x,y) in the calculator.
For this problem, the points (t,v) are given as follows:
(0, 6.1), (2.1, 12.2), (5.3, 17.4), (8.2, 26.4), (10, 28.1), (12.1, 32.8).
Hence, inserting these points into a calculator, the equation is given by:
v = 2.19t + 6.7.
More can be learned about a line of best-fit at brainly.com/question/22992800
#SPJ1
Answer: x ≥ 10.833333
Step-by-step explanation:
Answer:
$356
Step-by-step explanation:
To solve this problem, use this: (200 * 3.78) - (200 * 2)
(200 * 3.78) - (200 * 2)
<em>200 * 3.78 is the same as 2 * 378, which is 756.</em>
756 - (200 * 2)
<em>200 * 2 is the same as 4 * 100, which is 400.</em>
756 - 400
<em>Subtract 400 from 756 to get 356.</em>
356
If they brought the pizza last week, the school could have saved $356.
Answer:
0 < x ≤ 200 and 0 < y ≤ 400
Step-by-step explanation:
hope this helps
