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3 years ago

The zeros of function d are -3 and 8 which expression could be a factor of function d?

Mathematics

1 answer:

galina1969 [7]3 years ago

5 0

Answer:

x + 3

Step-by-step explanation:

When you substitute the x for -3, it will equal 0. This means it's a zero of the function.

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3 years ago

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Sin^2(x/2)=sin^2x <br> Find the value of x

Veronika [31]

$\sin^2\dfrac x2=\sin^2x$
$\dfrac{1-\cos x}2=1-\cos^2x$
$1-\cos x=2-2\cos^2x$
$2\cos^2x-\cos x-1=0$
$(2\cos x+1)(\cos x-1)=0$
$\implies\begin{cases}2\cos x+1=0\\\cos x-1=0\end{cases}$ $\implies\begin{cases}\cos x=-\frac12\\\cos x=1\end{cases}$

The first case occurs in $0\le x$ for $x=\dfrac{2\pi}3$ and $x=\dfrac{4\pi}3$ . Extending the domain to account for all real $x$ , we have this happening for $x=\dfrac{2\pi}3+2n\pi$ and $\dfrac{4\pi}3+2n\pi$ , where $n\in\mathbb Z$ .

The second case occurs in $0\le x$ when $x=0$ , and extending to all reals we have $x=2n\pi$ for $n\in\mathbb Z$ , i.e. any even multiple of $\pi$ .

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3 years ago

Built in 2011, the capital gate tower is 150 meters tall (measured vertically from the ground) and makes a 72 degree angle with

Softa [21]

Answer:

Step-by-step explanation:

You can create a right triangle out of this information and then use right triangle trig to solve.

We are given the height of the triangle as the height of the tower which is 150m.

We are given the angle of inclination as the degree the tower makes with the ground which is 72.

From the angle of 72 degrees, which is also known as the reference angle, we have the side across from it (the height) and we are looking for the side adjacent to it (how far from the base of the tower the keys will land). Side opposite the reference angle over side adjacent to the reference angle is the tangent ratio:

$tan(72)=\frac{150}{x}$ and, solving for x,

$x=\frac{150}{tan(72)}$

Make sure your calculator is in degree mode to solve this. Divide 150 by the tan(72) and find that

x = 48.7 m

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4 years ago

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Answer:

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3 years ago

Factor completely −5x2 + 10x − 15. −5(x2 − 2x + 3) −1(x2 − 10x + 15) −5x(x2 − 2x + 3) −5(x2 − 2x − 3)

Luba_88 [7]

Answer:

-5(x² -2x +3)

Step-by-step explanation:

5 is a factor common to all of the coefficients. It is convenient to have the x² coefficient be positive in the factored form, so the result of factoring out -5 is ...

... -5((-5x²/-5) +(10x/-5) +(-15/-5)) = -5(x² -2x +3)

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3 years ago

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