Find the roots of the polynomial equation x^2-14x-32=0

PLEASE I'm DESPERATE!. Find a, b, c, and d such that the cubic . f(x) = ax3 + bx2 + cx + d. satisfies the given conditions.. Rel

dimulka [17.4K]

We are given with the equation f(x) = ax3 + bx2 + cx + d

Substituting, (3,11)
11= 27a + 9b + 3c + d
@(5, 9)
9 = 125 a + 25 b + 5c + d
@(4, 10)
10 = 64 a + 16 b + 4c + d

@inflection point, second derivative is equal to zero
f'(x) = 3ax2 + 2bx + c
f''(x) = 6ax + 2b = 0

when x is 4, 24 a + 2b = 0 or 12a + b = 0.

There are 4 equations, 4 unknowns: answer is
0.5 x^3 - 6x^2 + 22.5 - 24 = 0

4 0

2 years ago

Read 2 more answers

Use quadratic regression to find the

umka21 [38]

9514 1404 393

Answer:

y = x^2 +10x -9

Step-by-step explanation:

Quadratic regression generally requires the use of "technology" to aid in finding the equation of the curve of best fit. Use the technology you've been introduced to.

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When only a few data points are provided, I prefer to use the Desmos graphing calculator. It shows the equation to be ...

y = x^2 +10x -9

3 0

2 years ago

Please help! Worth 36 points!

CaHeK987 [17]

Answer:

a. Same Side Interior Angles

b. Corresponding Angle

c. Alternate Exterior Angle

d. Alternate Interior Angles

e. 20

f. 70

Step-by-step explanation:

e. Corresponding angle add up to 90 degrees. Which you have to subtract 110 to 90 and is 20

f. same side interior angle adds up to 180 degrees. Which you have to subtract 180 to 110 and it is 70

6 0

2 years ago

A pyramid has a square base with sides of length s. The height of the pyramid is equal to - of the length of a side on the base.

Vera_Pavlovna [14]

<h3>Question:</h3>

A pyramid has a square base with sides of length s. The height of the pyramid is equal to 1/2 of the length of a side on the base. Which formula represents the volume of the pyramid?

<h3>Answer:</h3>

The formula represents the volume of the pyramid is:

$V=\frac{1}{6}s^3$