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Harlamova29_29 [7]
3 years ago
12

Please help me! I’m begging you I’ll mark you brainly!

Mathematics
1 answer:
Anvisha [2.4K]3 years ago
6 0

Answer:

A = 2x^2 + 11x + 15

B = 3x^2 - x - 2

A-B = -x^2 +12x +17

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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:

<u>Quadratic Formula</u>

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

<u>Given quadratic equation</u>:

5x^2-6x-2=0

<u>Define the variables</u>:

  • a = 5
  • b = -6
  • c = -2

<u>Substitute</u> the defined variables into the quadratic formula and <u>solve for x</u>:

\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 <u>quadratic equation</u> are:

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

Learn more about the quadratic formula here:

brainly.com/question/28105589

brainly.com/question/27953354

3 0
1 year ago
Read 2 more answers
About 13 out of 20 homes have a personal computer. On a street with 60 homes, how many would you expect to have a personal compu
Aleks04 [339]
This can be solved using a ratio. The ratio is: 13/20=x/60 this would then become 20x= 780  divide both sides by 20 and you get x=39. the answer is 39
5 0
3 years ago
Read 2 more answers
In a business, if A can earn $7500 in 2.5 years, find the unit rate of his earning per month
andrew11 [14]

2.5 years = 30 months

7500$ in 30 months

x$ in 1 month

___________________

x = (7500*1)/30 = 250

The answer is 250$/month.

5 0
3 years ago
Read 2 more answers
Suppose that you have $6,000 to invest. Which investment yields the greater return over a 10 year period: 7.44% compounded daily
Nikitich [7]
Hi
Here is you answer mate
But don’t forget to mark me the brainliest


Plug the applicable numbers into the compound interest formula and see which is more.
A = p(1+r/n)nt
A = future amount
p =principal investment
r = interest rate as a decimal
n = number times compounded per year
t = time in years

A = 5000(1+.0743/365)365(10)
= 5000(1.000203562)3650 = $10,510.38

A = 5000(1+.075/4)4(10)
= 5000(1.01875)40 = $10,511.75

As you can see these are practically equal, but the 7.5% quarterly is more.
3 0
3 years ago
To create an entry code you must choose the first three letters and three single digit numbers how many different entry code can
Dmitry_Shevchenko [17]

Answer:

9

Step-by-step explanation:

3*3=9

ABC and 123

A1 B1 C1 A2 B2 C2 A3 B3 C3

7 0
3 years ago
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