3/4 and 5/6
Now, you have to find the common denominator to compare the two fractions properly. Let’s see... 12 can be divided by both 4 and 6. So we’re going to convert both denominators to 12.
3*3= 9 and 4*3=12 so 3/4 = 9/12
5*2= 10 and 6*2=12 so 5/6 = 10/12
Bryan’s brother ate more peach.
Answer:
≈ 27 ft
Step-by-step explanation:
using the tangent ratio in the right triangle formed by the building and the ground.
tan15° =
=
( multiply both sides by 100 )
100 × tan15° = ? , then
? ≈ 27 ft ( to the nearest whole number )
For this case we have the following function:
<span>w (x) = - 5 (x-8) (x + 4)
</span><span>Rewriting we have:
</span><span>w (x) = - 5 (x ^ 2 + 4x - 8x - 32)
</span><span>w (x) = - 5x ^ 2 - 20x + 40x + 160
</span><span>w (x) = - 5x ^ 2 + 20x + 160
</span><span>Then, deriving we have:
</span><span>w '(x) = - 10x + 20
</span><span>We equal zero and clear x:
</span><span>0 = -10x + 20
</span><span>10x = 20
</span><span>x = 20/10
</span><span>x = 2 seconds
</span><span>Substituting values:
</span><span>w (2) = - 5 (2-8) (2 + 4)
</span><span>w (2) = - 5 (-6) (6)
</span><span>w (2) = 180 meters
</span>Answer:
The maximum height that the stone will reach is:
w (2) = 180 meters
13
good job. really excelling :)
Answer:

Step-by-step explanation:
We can use the Polynomial Remainder Theorem. It states that if we divide a polynomial P(x) by a <em>binomial</em> in the form (x - a), then our remainder will be P(a).
We are dividing:

So, a polynomial by a binomial factor.
Our factor is (x + k) or (x - (-k)). Using the form (x - a), our a = -k.
We want our remainder to be 3. So, P(a)=P(-k)=3.
Therefore:

Simplify:

Solve for <em>k</em>. Subtract 3 from both sides:

Factor:

Zero Product Property:

Solve:

So, either of the two expressions:

Will yield 3 as the remainder.