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3 years ago

A tortoise is walking in the desert. It walks for

Mathematics

1 answer:

castortr0y [4]3 years ago

6 0

The tortoise took 122.5 meters per minutes to walk in the desserts.

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What are the roots of the polynomial equation 3x^4+12x^2=6x^3

Dominik [7]

Factor the equation to give
$3x^4+12x^2=6x^3$
$3x^4+12x^2-6x^3=0$
$x^2(3x^2+12-6x)=0$
By the zero product property, either x^2=0 or (3x^2+12-6x)=0 or both.
If x^2=0, then x=0
if (3x^2+12-6x)=0, we use the quadratic formula to solve for x
where x=1 &pm; √ (3) i

Answer: the roots of <span>3x^4+12x^2=6x^3 are {0 (multiplicity 2), 1+√3 i, 1-√3 i}</span>

7 0

3 years ago

How many triangles are shown, including any overlapping triangles?

olga55 [171]

8 triangles in the image

4 0

3 years ago

Read 2 more answers

D) (K<br> If f(x) = x3 and g(x) = 2x + 7, what is g(x)<br> when x = 2?

nadya68 [22]

Answer:

Step-by-step explanation:

g(x) = 2x + 7

Put x as 2 and evaluate.

g(2) = 2(2) + 7

Multiply.

g(2) = 4 + 7

Add the terms.

g(2) = 11

3 0

3 years ago

An object is launched at 29.4 meters per

Lerok [7]

Answer:

The reasonable domain for the scenario is option 'a';

a) [0, 7]

Step-by-step explanation:

For the projectile motion of the object, we are given;

The speed at which the object is launched, v = 29.4 meters per second

The height of the platform from which the object is launched, h = 34.3 meter

The equation for the height of the object as a function of time 'x' is given as follows;

f(x) = -4.9·x² + 29.4·x + 34.3

The domain for the scenario, is given by the possible values of 'x' for the function, which is found as follows;

At the height from which the object is launched, x = 0, and f(x) = 34.3

At the ground level to which the object can drop, f(x) = 0

∴ f(x) = -4.9·x² + 29.4·x + 34.3 = 0

-4.9·x² + 29.4·x + 34.3 = 0

By the quadratic formula, we have;

x = (-29.4 ± √(29.4² - 4 × (-4.9) × 34.3))/(2 × (-4.9)

∴ x = -1, or 7

Given that time is a natural number, we have the reasonable domain for the scenario as the start time when the object is launched, t = 0 to the time the object reaches the ground, t = 7

Therefore, the reasonable domain for the scenario is; 0 ≤ x ≤ 7 or [0, 7].

4 0

3 years ago

The estimate obtained from a sample of which of the following sizes would most likely be closest to the actual parameter value o

SOVA2 [1]

To obtain an estimate of a parameter of a population, we use confidence intervals.

Confidence intervals:

The larger the sample size, the closest the parameter estimate is to the value of the population, as the margin of error of confidence intervals is inversely proportional to the sample size, that is, a greater sample leads to a smaller margin of error.

Thus, you should select the highest sample size in the options.

For more on confidence interval/margin of error, you can check brainly.com/question/22718960

6 0

3 years ago