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2 years ago

(a) Use the fundamental theorem of algebra to determine the number of roots for 2x^2+4x+7 show your work

Mathematics

1 answer:

postnew [5]2 years ago

4 0

Answer:

The answer to your question is: This polynomial does not have root, it does not intercept the x-axis.

Step-by-step explanation:

2x² + 4x + 7

To determine the number of roots of this polinomial, just look at the higher power and that number will be the maximum possible number of roots.

In this exercise, the maximum power is 2, so this polynomial could have at most 2 roots.

b) Find the possible roots of the polynomial, which are multiples of 7

Possible roots: ±1, ±7

2x² + 4x + 7

Use synthetic division to find the roots

2 4 7 1

2 6

2 6 13 +1 is not a root

2 4 7 -1

-2 -2

2 2 5 -1 is not a root

2 4 7 7

14 126

2 18 133 +7 is not a root

2 4 7 -7

-14 70

2 -10 -77 -7 is not a root

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kicyunya [14]

Answer:

Direction of the boat is 43.05° and the speed is 21.66 knot

Step-by-step explanation:

yacht speed = 20 knots

yacht bearing = 185° = 85° below the negative horizontal x-axis

wind speed = 15 knots

wind bearing = 290° = 20° above the negative horizontal x-axis

we find the x and y components of the boat velocities

for yacht,

x component = -20 cos 85° = -1.74 knots

y component = -20 sin 85° = -19.92 knots

for the wind,

x component = -15 cos 20° = -14.09 knots

y component = 15 sin 20° = 5.13 knots

total x component Vx = -1.74 + (-14.09) = -15.83 knots

total y component Vy = -19.92 + 5.13 = -14.79 knots

Resultant speed of the boat = $\sqrt{Vx^{2} + Vy^{2} }$

==> $\sqrt{15.83^{2} + 14.79^{2} }$ = 21.66 knot

direction of boat = $tan^{-1} \frac{Vy}{Vx}$

==> $tan^{-1} \frac{14.79}{15.83}$ = 43.05°

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2 years ago

What is 1-0 i will give brainliest

dmitriy555 [2]

Answer: It’s 1

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Find the value of y in the given triangle

Andre45 [30]

Given:

In the given triangle,

With respect to y, Perpendicular = 10 cm and Base = 8 cm

To find the value of y.

Formula

By Trigonometric Ratio we get,

$tan\theta = \frac{Perpendicular}{Base}$

Now,

Putting the values of perpendicular and base we get,

$tan\theta = \frac{10}{8}$

or, $\theta = tan^{-1} (\frac{10}{8})$

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Rounding off to the nearest tenth, we have;

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2 years ago

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frozen [14]

Answer:

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Step-by-step explanation:

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2 years ago

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