Answer:
Step-by-step explanation:
If you call "5x-2x^2+1" an "equation," then you must equate 5x-2x^2+1 to 0:
5x-2x^2+1 = 0
This is a quadratic equation. Rearranging the terms in descending order by powers of x, we get:
-2x^2 + 5x + 1 = 0. Here the coefficients are a = -2, b = 5 and c = 1.
Use the quadratic formula to solve for x:
First find the discriminant, b^2 - 4ac: 25 - 4(-2)(1) = 25 + 8 = 33
Because the discriminant is positive, the roots of this quadratic are real and unequal.
-b ± √(discriminant)
Applying the quadratic formula x = --------------------------------
2a
we get:
-5 ± √33 -5 + √33
x = ----------------- = --------------------- and
2(-2) -4
-5 - √33
---------------
-4
Answer:
Step-by-step explanation:
must be r and s
because right at in middle of the distance between them is 0
The Factor Theorem says (x - a) is a factor of function p(x) if p(a)=0
so check for p(-2)
= -2^4 +3(-2)^3 + 4(-2)^2 - 8
= 16 - 24 +16 -8
= 0
so (x + 2) is a factor
Using the first derivative test, it is found that the graph is increasing on the interval is (-5, ∞).
<h3>What is Function?</h3>
A function is a process or a relation that associates each element 'a' of a non-empty set A , at least to a single element 'b' of another non-empty set B.
Here, the function is given by:
f(x) = x²/2 + 5x + 6
On differentiating both sides, with respect to x we get
f'(x) = x + 5
Then, we test the signal of the derivative, which is the first derivative test.
x + 5 ≥ 0
x ≥ -5
Thus, It is found that the Function is increasing on the interval is (-5, ∞).
Learn more about Function from:
brainly.com/question/12431044
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Answer:
226.4 m³.
Step-by-step explanation:
The volume of a right cone with a circular base is:
,
where
is the volume of the cone,
is the radius of the cone,- and
is the height of the cone.
The radius of the circular base is one-half its diameter.
.
.
