All categories

3 years ago

Solve equation by completing the square 5n^2-3n-10=15

Mathematics

1 answer:

VARVARA [1.3K]3 years ago

5 0

These are the two answers you could get

You might be interested in

5. A dinner bill of $31.37 had 6% tax added to that total. What was the amount of the tax?

stellarik [79]

$31.37 multipled by 6% (or 0.006)= $1.88 in tax.

The total amount for the dinner bill would be $33.25 including tax.

3 0

3 years ago

The following equation involves a trigonometric equation in quadratic form. Solve the equation on the interval [0,2π).

Effectus [21]

Answer:

$\dfrac{\pi}{6}, \dfrac{5\pi}{6}, \dfrac{3\pi}{2}$

Step-by-step explanation:

Given the quadratic equation as:

$2sin^2x+sinx=1\\OR\\2sin^2x+sinx-1=0$

Let us put $sinx=y$ for simplicity of the equation:

Now, the equation becomes:

$2y^2+y-1=0$

Now, let us try to solve the quadratic equation:

$\Rightarrow 2y^2+2y-y-1=0\\\Rightarrow 2y(y+1)-1(y+1)=0\\\Rightarrow (2y-1)(y+1)=0\\\Rightarrow 2y-1 = 0, y+1 = 0\\\Rightarrow y = \dfrac{1}{2}, y = -1$

So, the solution to the given trigonometric quadratic equation is:

$sinx = \dfrac{1}{2}$

and

$sinx=-1$

Let us try to find the values of $x$ in the interval $[0, 2\pi)$ .

$sin\theta$ can have a value equal to $\frac{1}{2}$ in 1st and 2nd quadrant.

So, $x$ can be

$30^\circ, 150^\circ\\OR\\\dfrac{\pi}{6}, \dfrac{5\pi}{6}$

For $sinx=-1$ ,

$x = 270^\circ\ or\ \dfrac{3 \pi}{2}$

So, the answer is:

$\dfrac{\pi}{6}, \dfrac{5\pi}{6}, \dfrac{3\pi}{2}$

7 0

3 years ago

What is the value of x? 20 35 60 70

agasfer [191]

I think it’s a 20 but I’m not sure you should use a protractor to measure it and look at the angles and then look how much to add 40 with the value of the X to get your answer good luck!

5 0

3 years ago

Read 2 more answers

PLEASE ANYONE?: A number is chosen at random from a set of whole number from 1 to 50. Calculate the probability that the chosen

crimeas [40]

Answer:

Take 10 and add it 5 times

Step-by-step explanation:

5 divided by 50 is 10

8 0

2 years ago

Read 2 more answers