Answer:
Step-by-step explanation:
This is a third degree polynomial since we have 3 zeros. We find these zeros by factoring the given polynomial. The zeros of a polynomial are where the graph of the function goes through the x-axis (where y = 0). If x = -4, the factor that gives us this value is (x + 4) = 0 and solving that for x, we get x = -4. If x = -2, the factor that gives us that value is (x + 2) = 0 and solving that for x, we get x = -2. Same for the 5. The way we find the polynomial that gave us these zeros is to go backwards from the factors and FOIL them out. That means that we need to find the product of
(x + 4)(x + 2)(x - 5). Do the first 2 terms, then multiply in the third.
, which simplifies to

No we multiply in the final factor of (x - 5):
which simplifies to

If you are aware of the method for factoring higher degree polymomials, which is to use the Rational Root Theorem and synthetic division, you will see that this factors to x = -4, -2, 5. If you know how to use your calculator, you will find the same zeros in your solving polynomials function in your apps.
Answer:
Step-by-step explanation:
<h3>#4</h3>
According to diagram we have
- QR ≅ QT
- QS ≅ QS (common side)
- QSR ≅ QST (both right angles)
Considering above we can state
- QSR ≅ QST by HL (hypotenuse-leg)
<h3>#5</h3>
Two angles are congruent but the order of angles is not same
Triangles are not similar.
<h3>#6</h3>
Two angles and a side are congruent but the order of angles is not same.
Triangles are not similar.
Answer:
k=20.
Explanation: First we find where f(x) has its local extrema: f'(x)=3x2−10x+3. The critical points are roots of the equation: 3x2−10x+3=0.
Step-by-step explanation:
did it gives which answer goes to the letter
x = 30
The distributive property says that we need to multiply what's in the brackets by 1/2 (so 1/2*x and 1/2*6) to get the equation 1/2x + 3 = 18.
Then we need to subtract our constant, 3, from boths sides to get 1/2x = 15.
Multiply both sides by two to isolate x and you get x = 30.
Hope this helps! :)