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3 years ago

Given the two expressions shown below:

1 answer:

5 0

Hi there!
The answer is A is irrational, but B is rational.

An irrational number is a number that cannot be written as a fraction.

Expression A.
$\sqrt{64} + \sqrt{5} = 64 + 2.23606...$
This cannot be written as a fraction and therefore the expression is irrational.

Expression B.
$\sqrt{64} + \sqrt{4} = 8 + 2 = 10 = \frac{10}{1}$
This can be written as a fraction and therefore the expression is rational

Your answer:
A is irrational, but B is rational.

~ Hope this helps you!
MarkV

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Please explain and solve

NemiM [27]

Weird question wording. I take it should mean that this is a quadratic equation with solutions of x = -5 and x = 8. Then these are the factors: (x+5) and (x-8).
So

(x+5)(x-8) = 0 is the equation because x = -5 and x = 8 can make left-side equal to 0. But we expand so it becomes x² - 3x - 40 = 0

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3 years ago

Use the quadratic formula to solve the equation -3x2-x-3=0

Novosadov [1.4K]

Answer:

$x=\frac{1+\sqrt{35}i}{-6}\,\, and\,\, x=\frac{1-\sqrt{35}i}{-6}\\$

Step-by-step explanation:

the quadratic formula is:

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

a= -2, b = -1 and c =-3

Putting values in the formula

$x=\frac{-(-1)\pm\sqrt{(-1)^2-4(-3)(-3)}}{2(-3)}\\x=\frac{1\pm\sqrt{-35}}{-6}\\x=\frac{1+\sqrt{-35}}{-6}\,\, and\,\, x=\frac{1-\sqrt{-35}}{-6}\\We\,\, know \,\,that \,\,\sqrt{-1} = i \\x=\frac{1+\sqrt{35}i}{-6}\,\, and\,\, x=\frac{1-\sqrt{35}i}{-6}\\$

So, $x=\frac{1+\sqrt{35}i}{-6}\,\, and\,\, x=\frac{1-\sqrt{35}i}{-6}\\$

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3 years ago

Read 2 more answers

Simplify the expression fully (3x2 + 7y) (2x2 – 3x + 9)

allsm [11]

(3x2 + 7y) (2x2 – 3x + 9)
=(6+7y)(-3x+13)
=-18x+78-21xy+91y

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3 years ago

Describe the difrence between a metroroid metor and a metorite

lys-0071 [83]

Answer: When meteoroids enter Earth's atmosphere (or that of another planet, like Mars) at high speed and burn up, the fireballs or “shooting stars” are called meteors. When a meteoroid survives a trip through the atmosphere and hits the ground, it's called a meteorite.

Step-by-step explanation:

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3 years ago

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Neha used 4 bananas and 5 oranges in her fruit salad. Daniel used 7 bananas and 9 oranges. Did Neha and Daniel use the same rati

allochka39001 [22]

Answer:

Neha and Daniel do not use the same ratio of bananas to oranges

Neha used the grater ratio of bananas to oranges

Step-by-step explanation:

Ratios

The ratio is expressed as a:b, where a and b are whole numbers.

Neha used 4 bananas and 5 oranges in her fruit salad. Daniel used 7 bananas and 9 oranges in his.

We use cross multiplication to find if the ratios of bananas to oranges are the same.

Neha s ratio is 4:5

Daniel s ratio is 7:9

To compare both ratios we use the expression:

$\displaystyle \frac{4}{5} =?\frac{7}{9}$

The question mark means equality could be true or false.

The cross multiplication consists of multiplying the denominator of one side by the numerator of the other side:

$4*9 =? 5*7$

Operating:

$36 =? 35$

The equality is false, thus

Neha and Daniel do not use the same ratio of bananas to oranges

Since the left side of the equality is greater than the second:

Neha used the grater ratio of bananas to oranges

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3 years ago