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3 years ago

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:

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:

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)

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3 years ago

Add 43.688 + 127.859?

yan [13]

171.547 is the answer.

6 0

3 years ago

Read 2 more answers