Answer:
20
Step-by-step explanation:
12 + 3 = 15
15+5=20
<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 equation that represents the table of values is 
Step-by-step explanation:
We need to find the equation that matches the table of values.
x y
0 | 1
1 | 1/4
2 | 1/16
3 | 1/64
So, when x =0 y=1 and when x=1, y=1/4
if
then putting x=0 we get y=1
x=1, we get y=1/4
x=2, we get y=1/16
x=3, we get y=1/64
So, the equation that represents the table of values is
Kindly check your options, as option D should be
Keywords: Solving Equations
Learn more about Solving Equations at:
#learnwithBrainly
Answer:
6^8
Step-by-step explanation:
6^4 * 6^4
We know that a^b * a^c = a^(b+c)
6^4 * 6^4 = 6^(4+4) = 6^8
Answer:
Solve the equation for s by finding a , b , and c of the quadratic then applying the quadratic formula.
s
=
−
2
Double roots
