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S_A_V [24]
3 years ago
15

Which is the simplified form of the expression

Mathematics
1 answer:
IrinaVladis [17]3 years ago
4 0
\dfrac{(6^{-4})^{-9}}{6^6}=\dfrac{6^{(-4)(-9)}}{6^6}=\dfrac{6^{36}}{6^6}=6^{36-6}=6^{30}\\\\\text{Used:}\\\\(a^n)^m=a^{n\cdot m}\\\\\dfrac{a^n}{a^m}=a^{n-m}
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Runner a averages 5 mph and run it B rat averages 6 mph these rates how much longer does it take runner A then runner be to run
Kipish [7]
Takes runner A 18 more minutes
8 0
3 years ago
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
2 years ago
Read 2 more answers
What is the solution for the =.
liq [111]

Answer:

solution for n is \frac{-13}{4}

Step-by-step explanation:

Given an equation containing one variable n.

The equation is as follows:

\frac{-5}{2} =\frac{3}{4} +n

To solve for n we can subtract 3/4 from both the sides

The result is

\frac{-5}{2} -\frac{3}{4} =n\\Take LCD as 4\\\\frac{-10-3}{4} =n

Verify:

Substitute the answer in the given equation.

\frac{-5}{2} =\frac{3}{4} -(\frac{13}{4} )

Both sides equal thus proving our correctness of answer.


3 0
3 years ago
Please help!!!
Nuetrik [128]
Mya took out money from the bank. When she went to get a bank statement she saw she had a $-2.00 in her account but she needed the number so she took out $30. So you would do $30+(-2.00)=(-32.00)
4 0
3 years ago
Add 43.688 + 127.859?
yan [13]
171.547 is the answer.
6 0
3 years ago
Read 2 more answers
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