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3 years ago

True or False. (0,0) is a solution to problem #1. This means that (0,0) is in the solution region.

Mathematics

1 answer:

Oksana_A [137]3 years ago

5 0

True.

A point that is a solution is in the solution region.

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Verify that the roots of 5x²- 6x -2 = 0 are <img src="https://tex.z-dn.net/?f=%5Cfrac%7B3%20%2B%20%5Csqrt%7B19%7D%20%7D%7B5%7D%2

Mice21 [21]

Answer:

Proof below.

Step-by-step explanation:

Quadratic Formula

$x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when }\:ax^2+bx+c=0$

Given quadratic equation:

$5x^2-6x-2=0$

Define the variables:

a = 5
b = -6
c = -2

Substitute the defined variables into the quadratic formula and solve for x:

$\implies x=\dfrac{-(-6) \pm \sqrt{(-6)^2-4(5)(-2)}}{2(5)}$

$\implies x=\dfrac{6 \pm \sqrt{36+40}}{10}$

$\implies x=\dfrac{6 \pm \sqrt{76}}{10}$

$\implies x=\dfrac{6 \pm \sqrt{4 \cdot 19}}{10}$

$\implies x=\dfrac{6 \pm \sqrt{4}\sqrt{19}}{10}$

$\implies x=\dfrac{6 \pm2\sqrt{19}}{10}$

$\implies x=\dfrac{3 \pm \sqrt{19}}{5}$

Therefore, the exact solutions to the given quadratic equation are:

$x=\dfrac{3 + \sqrt{19}}{5} \:\textsf{ and }\:x=\dfrac{3 - \sqrt{19}}{5}$

Learn more about the quadratic formula here:

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3 0

1 year ago

Read 2 more answers

3x to the x power plus 1 equals 9

Pani-rosa [81]

Do you want the answer or it written out? The written out would be down below and the answer is also down below in the x to the power of x equals 8/3 and its written out.

5 0

3 years ago

The population of a small town is 39,668 and has been continuously declining at a 1.5% a year what will the population be in 13

anyanavicka [17]

Answer: 31, 932.74

Step-by-step explanation:

The population of the small town = 39,668

Yearly rate of decline = 1.5%

Therefore, to calculate 1.5% of 39,668 = 1.5 x 39,668

------------------

100

= 595.02

So, the population is declining by 595.02 on yearly basis.

To ascertain what will the population would have declined to in the next 13 years,

We multiply , = 595.02 x 13

=7,735.26

Now population in 13 years = 39,668 - 7,735.26

= 31,932.74

6 0

3 years ago

Read the statement, and identify the expressions that are equivalent.

Digiron [165]

B. (n + 15) x 3--- That seems to be the correct answer. I hope I helped!

5 0

3 years ago

HELP

stiv31 [10]

The Answer Is No Solution!

4 0

2 years ago