Steve is 1.2 times faster than Paul.
<h3>
What is a ratio?</h3>
The quantitative relationship between two values indicating how frequently one value is contained within the other.
For example: Speed = Distance / Time
Total distance covered by both Steve and Paul = 100m
Total time taken by Steve = 10s
Steve's speed = 100 / 10 = 10m/s
Total time taken by Paul = 12s
Paul's speed = 100 / 12 = 8.33m/s
Ratio of Steve's speed to Paul's speed = 10 / 8.33 = 1.2
Hence we can say that Steve is 1.2 times faster than Paul.
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Answer:
Option B is correct.
The expression which is equivalent to
is; ![(n+22)(n+4)](https://tex.z-dn.net/?f=%28n%2B22%29%28n%2B4%29)
Explanation:
Given the equation:
for all values of n.
The quadratic equation in this form; ![ax^2+bx+c =0](https://tex.z-dn.net/?f=ax%5E2%2Bbx%2Bc%20%3D0)
First find two numbers that multiply to give ac and add to give b.
From the given equation;
a =1 , b = 26 and c =88
then,
the two number that multiply to give ac =88 is, 22 or 4
and they add up to give b=26 (i.e 22+4)
Now, rewrite the middle term i.e 26n with 22n and 4n , we have
![n^2+22n+4n+88=0](https://tex.z-dn.net/?f=n%5E2%2B22n%2B4n%2B88%3D0)
Now, factor the first two terms and last two terms,
![n(n+22)+4(n+22)](https://tex.z-dn.net/?f=n%28n%2B22%29%2B4%28n%2B22%29)
we see that
is common to both terms so, we have;
![(n+22)(n+4)](https://tex.z-dn.net/?f=%28n%2B22%29%28n%2B4%29)
Therefore, the expression
is equivalent to
Check:
(n+4)(n+22) =
=
[ True]
Rewrite 39 as (40-1) and then multiply this result by 5:
200-5 = 195 (answer)
B . Only function g is decreasing on and only f
Answer:
I think the answer is yes, because its graph is a line that passes through the origin
Step-by-step explanation:
hope this helps if not let me know have a blessed day