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3 years ago

Select the correct solution in each column of the table.

Mathematics

1 answer:

Sophie [7]3 years ago

4 0

Answer:

plz i cant see it well oo

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Solve the following equation by factoring:9x^2-3x-2=0

olya-2409 [2.1K]

Answer:

The two roots of the quadratic equation are

$x_1= - \frac{1}{3} \text{ and } x_2= \frac{2}{3}$

Step-by-step explanation:

Original quadratic equation is $9x^{2}-3x-2=0$

Divide both sides by 9:

$x^{2} - \frac{x}{3} - \frac{2}{9}=0$

Add $\frac{2}{9}$ to both sides to get rid of the constant on the LHS

$x^{2} - \frac{x}{3} - \frac{2}{9}+\frac{2}{9}=\frac{2}{9}$ ==> $x^{2} - \frac{x}{3}=\frac{2}{9}$

Add $\frac{1}{36}$ to both sides

$x^{2} - \frac{x}{3}+\frac{1}{36}=\frac{2}{9} +\frac{1}{36}$

This simplifies to

$x^{2} - \frac{x}{3}+\frac{1}{36}=\frac{1}{4}$

Noting that (a + b)² = a² + 2ab + b²

If we set a = x and b = $\frac{1}{6}\right)$ we can see that

$\left(x - \frac{1}{6}\right)^2$ = $x^2 - 2.x. (-\frac{1}{6}) + \frac{1}{36} = x^{2} - \frac{x}{3}+\frac{1}{36}$

$\left(x - \frac{1}{6}\right)^2=\frac{1}{4}$

Taking square roots on both sides

$\left(x - \frac{1}{6}\right)^2= \pm\frac{1}{4}$

So the two roots or solutions of the equation are

$x - \frac{1}{6}=-\sqrt{\frac{1}{4}}$ and $x - \frac{1}{6}=\sqrt{\frac{1}{4}}$

$\sqrt{\frac{1}{4}} = \frac{1}{2}$

So the two roots are

$x_1=\frac{1}{6} - \frac{1}{2} = -\frac{1}{3}$

and

$x_2=\frac{1}{6} + \frac{1}{2} = \frac{2}{3}$

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2 years ago

An electrician charges $70 dollars per hour and a $40 dollar home-visit fee.

elena-14-01-66 [18.8K]

Answer:

Step-by-step explanation:

The expression will be

(70h+40)$

7 0

4 years ago

Answer the photo below thanks

Eddi Din [679]

Step-by-step explanation:

3 of the 4 options aren't prisms

A is a cuboid

B is a cube

C is a prism

D is a pyramid

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3 years ago

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If a race car averages 35 miles per hour for 4 hours, how far does the car travel?

Mkey [24]

Well how many hours did they drive? we need that info

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The Burlington Tigers are having team shirts made. One option is to pay Edward's Tees a $50 setup fee and then buy the shirts fo

nata0808 [166]

Answer:

$56

Step-by-step explanation:

$40+$16(that is, 8+8)=56 and 50+6=56

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