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3 years ago

Which of the following correctly shows the quadratic formula?

Mathematics

2 answers:

Gre4nikov [31]3 years ago

7 0

The first option is the correct quadratic formula

muminat3 years ago

3 0

Answer:

A) x = $\frac{-b +/- \sqrt{b^2 - 4ac} }{2a}$

Step-by-step explanation:

The general form a quadratic equation y = $ax^2 + bx + c, where a \neq 0.$ .

We use quadratic formula when we find the solution of a quadratic equation.

The quadratic equation has two solutions.

x = $\frac{-b +/- \sqrt{b^2 - 4ac} }{2a}$

Therefore, the answer is A) x = $\frac{-b +/- \sqrt{b^2 - 4ac} }{2a}$

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Help pleaseeeeeeeeeeeeeeeeeeeeeee

bixtya [17]

Answer: $\bold{(1)\ \dfrac{19,683}{64}\qquad (2)\ 16}$

<u>Step-by-step explanation:</u>

(1) (12, 18, 27, ...)

The common ratio is:

$r=\dfrac{a_{n+1}}{a_n}\quad r =\dfrac{18}{12}=\boxed{\dfrac{3}{2}}\quad \rightarrow \quad r=\dfrac{27}{18}=\boxed{\dfrac{3}{2}}$

The equation is:

$a_n=a_o(r)^{n-1}\\\\Given:a_o=12,\ r=\dfrac{3}{2}\\\\\\Equation:\\a_n =12\bigg(\dfrac{3}{2}\bigg)^{n-1}\\\\\\\\9th\ term:\\a_9=12\bigg(\dfrac{3}{2}\bigg)^{9-1}\\\\\\a_9=12\bigg(\dfrac{3}{2}\bigg)^{8}\\\\\\.\quad =\large\boxed{\dfrac{19643}{64}}$

$(2)\qquad \bigg(\dfrac{1}{16},\dfrac{1}{8},\dfrac{1}{4},\dfrac{1}{2}\bigg)\\\\\\\text{The common ratio is}:\\\\r=\dfrac{a_{n+1}}{a_n}\quad r=\dfrac{\frac{1}{8}}{\frac{1}{16}}=\boxed{2}\quad \rightarrow \quad r=\dfrac{\frac{1}{4}}{\frac{1}{8}}=\boxed{2}$

The equation is:

$a_n=a_o(r)^{n-1}\\\\Given:a_o=\dfrac{1}{16},\ r=2\\\\\\Equation:\\a_n =\dfrac{1}{16}(2)^{n-1}\\\\\\\\9th\ term:\\a_9=\dfrac{1}{16}(2)^{9-1}\\\\\\a_9=\dfrac{1}{16}(2)^{8}\\\\\\.\quad =\large\boxed{16}$

3 0

3 years ago

Can someone help me find what to do

finlep [7]

An example would be:
Standard:12345678
Expanded: 10000000+2000000+300000+40000+5000+600+70+8
Word: twelve million three hundred forty-five thousand six hundred seventy-eight

5 0

3 years ago

a party rental company has chairs and tables for rent. the total cost to rent 3 chairs and 2 tables is $26. the total cost to re

Alexus [3.1K]

Let the cost of renting a chair be x and for renting a table be y than 5x + 3y = 31 and 2x + 6y = 52 2x+ 6y = 52 can be further simplified to x + 3y = 26 now try solving for x and y... best of luck:D

5 0

3 years ago

Read 2 more answers

PLS HELP ME ASAP! The height and width of a rectangular prism are 26 yards and 24 yards respectively. Find the length of the

Allushta [10]

Answer:

The length is 30 cubic yards.

Step-by-step explanation:

To find volume you use equation V=LxWxH

Since we already know the height, width, and volume we can input them into the equation.

18,720=L x 24 x 26

As you can see, the length is still unknown.

To figure it out though, you can multiply the height and width of the prism,

24 x 26 = 624

And then divide the volume, 18,720 by it.

18,720/624 = 30

Thus, your length is 30 cubic yards.

8 0

3 years ago

7/12 x 1/8 Find the product of in simplified form

Vanyuwa [196]

Answer:

7/96

Step-by-step explanation:

to find the answer you need to multiply both numerators together and put that over the product of the denominators, this is going to leave you with a fraction smaller than the original fractions. that is normal, because you are multiplying terms smaller than one together. same applies to decimals less than one

4 0

3 years ago