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2 years ago

6/8 simplified trying to help my sister

Mathematics

1 answer:

lys-0071 [83]2 years ago

4 0

Answer:

the answer is 3/4

Step-by-step explanation: 6/8 divided by 2 is 3/4

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Determine the number of real solutions the equation has.

just olya [345]

Using the quadratic formula, the solutions are x1 = 1.3416 and x2 = -1.3416
So, it has 2 real solutions.

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3 years ago

Liam is paid $25/hr at full rate, and $18/hr at a reduced rate. The hours of work are paid at a ratio of 3:1, full rate : reduce

Lyrx [107]

Answer:

4h30min full rate and 1h30 min reduced rate

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3 years ago

What 3/4 x 5/8 in fraction

astra-53 [7]

Answer: Hi! 15/32, I think!

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3 years ago

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What is the average of 4741, 4261, 4628?

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2 years ago

A: What are the solutions to the quadratic equation x2+9=0? B: What is the factored form of the quadratic expression x2+9? Selec

Paraphin [41]

Answer:

A. The solutions are $x=3i,\:x=-3i$ .

B. The factored form of the quadratic expression $x^2+9=(x-3i)(x+3i)$

Step-by-step explanation:

A. To find the solutions to the quadratic equation $x^2+9=0$ you must:

$\mathrm{Subtract\:}9\mathrm{\:from\:both\:sides}\\\\x^2+9-9=0-9\\\\\mathrm{Simplify}\\\\x^2=-9\\\\\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}\\\\x=\sqrt{-9},\:x=-\sqrt{-9}$

$x=\sqrt{-9} = \sqrt{-1}\sqrt{9}=\sqrt{9}i=3i\\\\x=-\sqrt{-9}=-\sqrt{-1}\sqrt{9}=-\sqrt{9}i=-3i$

The solutions are:

$x=3i,\:x=-3i$

B. Two expressions are equivalent to each other if they represent the same value no matter which values we choose for the variables.

To factor $x^2+9$ :

First, multiply the constant in the polynomial by $i^2$ where $i^2$ is equal to -1.

$x^2+9i^2$

Since both terms are perfect squares, factor using the difference of squares formula

$a^2-i^2=(a+i)(a-i)$

$x^2+9=x^2+9i^2=\left(-3i+x\right)\left(3i+x\right)$

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3 years ago