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3 years ago

5

The zeros of a polynomial function are 1/2, -4 and -1.

1 answer:

mihalych1998 [28]3 years ago

4 0

Answer:

The factors are $(x- \frac {\bf 1} {\bf 2}){\bf (x+4)}{\bf (x+1)}$

Step-by-step explanation:

Given that $\frac{1}{2} ,-4, -1$ are the zeroes of the polynomial

Let the polynomial be $P(x)$

For the polynomial $P(x)$ , If r is a zero of $P(x)$ then $(x-r)$ will be a factor of P(x).

If $(x-r)$ is a factor of P(x) then r will be a zero of P(x).

From the given Zeroes we can write it in form of factors as below:

$P(x) = (x- \frac{1}{2})(x-(-4))(x-(-1))$

$P(x) = (x- \frac{1}{2})(x+4)(x+1)$

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A bird sees a worm on the ground 50 m. below. The bird dives for the worm at a speed of 6 m/sec. The function h\left( t \right)

iragen [17]

<u>Given</u>:

The height of the bird at time t is given by the function $h(t)=-4.9t^2+6t+50$

We need to determine the time it takes the worm to be eaten by the bird.

<u>Time taken:</u>

The time can be determined by substituting h(t) = 0 in the function.

Thus, we have;

$0=-4.9t^2+6t+50$

Switch sides, we get;

$-4.9t^2+6t+50=0$

Let us solve the equation using the quadratic formula.

Thus, we get;

$t=\frac{-6 \pm \sqrt{6^{2}-4(-4.9) 50}}{2(-4.9)}$

Simplifying, we get;

$t=\frac{-6 \pm \sqrt{36+980}}{-9.8}$

$t=\frac{-6 \pm \sqrt{1016}}{-9.8}$

$t=\frac{-6 \pm 31.87}{-9.8}$

The values of t are given by

$t=\frac{-6 + 31.87}{-9.8}$ and $t=\frac{-6 - 31.87}{-9.8}$

$t=\frac{25.87}{-9.8}$ and $t=\frac{-37.87}{-9.8}$

$t=-2.4$ and $t=3.9$

Since, the value of t cannot be negative, then $t=3.9$

Thus, the time taken by the bird to eat the worm is $t=3.9$ seconds.

Hence, Option B is the correct answer.

5 0

3 years ago

The sticker has a base of 6.5cm and a height of 10.1. What is the area of the sticker?

coldgirl [10]

Answer:

65.65

Step-by-step explanation:

1) Carry over the decimals in each number.

2) Multiply. This will give you 6,565.

3) Carry the decimal place and count how many times you moved it over. (2=1+1) Therefore, it gives you 65.65

I hope this helped

4 0

3 years ago

Find the general solution of the given differential equation. cos^2(x)sin(x)dy/dx+(cos^3(x))y=1 g

eimsori [14]

If the given differential equation is

$\cos^2(x) \sin(x) \dfrac{dy}{dx} + \cos^3(x) y = 1$

then multiply both sides by $\frac1{\cos^2(x)}$ :

$\sin(x) \dfrac{dy}{dx} + \cos(x) y = \sec^2(x)$

The left side is the derivative of a product,

$\dfrac{d}{dx}\left[\sin(x)y\right] = \sec^2(x)$

Integrate both sides with respect to $x$ , recalling that $\frac{d}{dx}\tan(x) = \sec^2(x)$ :

$\displaystyle \int \frac{d}{dx}\left[\sin(x)y\right] \, dx = \int \sec^2(x) \, dx$

$\sin(x) y = \tan(x) + C$

Solve for $y$ :

$\boxed{y = \sec(x) + C \csc(x)}which follows from [tex]\tan(x)=\frac{\sin(x)}{\cos(x)}$ .

7 0

2 years ago

Factorise 12u-uv please help lol

max2010maxim [7]

Answer:

u(12-v)

Step-by-step explanation:

12u and -uv both have a factor of <em>u </em>in common, so we can pull it out to give us the factored expression u(12-v).

<em>Note on factoring:</em>

<em>Remember, it's just using the distributive property in reverse! We can get our original expression back by distributing the u to the 12 and the -v.</em>

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3 years ago

Which numerical descriptive measure shows whether two numerical variables have a linear relationship

Brrunno [24]

Answer:

Correlation Coefficient

Step-by-step explanation:

Correlation Coefficient: The correlation coefficient is a numerical measure that measures the strength and direction of a linear relationship between two quantitative variables.

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2 years ago