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3 years ago

In simplest form …..

Mathematics

1 answer:

777dan777 [17]3 years ago

8 0

Answer:

2 $\sqrt[3]{2}$

Step-by-step explanation:

$\sqrt[3]{54} - \sqrt[3]{2}$

$\sqrt[3]{2 * 3 * 3 * 3}$ - $\sqrt[3]{2}$ Prime factorization.

$3\sqrt[3]{2}$ - $\sqrt[3]{2}$ Simplify the radical.

2 $\sqrt[3]{2}$ Subtract.

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Evaluate the expression for x = 3, y=13 , and z = 5.<br><br> 12x−3y/4x−z

Novay_Z [31]

36-39/12-5
31-39/12
31-3.25
27.75

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3 years ago

What is the standard form of (2-4i)(3+5i) divided by (3+i)

jasenka [17]

First we need to simplify the numerator of the fraction

(2 - 4i)(3 + 5i)
= 6 +10i - 12i - 20i²
= 6 - 2i + 20
= 26 - 2i

So now the fraction becomes:

$\frac{26-2i}{3+i}$

In order to convert the fraction to standard form, we need to multiply and divide the fraction by the conjugate of the denominator as shown below:

$\frac{26-2i}{3+i}* \frac{3-i}{3-i} \\ \\ 
= \frac{78-26i-6i+2i^{2} }{9-i^{2} } \\ \\ 
= \frac{78-32i-2}{9+1} \\ \\ 
= \frac{76-32i}{10} \\ \\ 
= \frac{76}{10}- \frac{32i}{10} \\ \\ 
= \frac{38}{5}- \frac{16}{5}i$

4 0

3 years ago

brian’s gas tank is 1/2 full. after he buys 9 gallons of gas, it is 5/6 full. how many gallons can brian’s tank hold?

Mariulka [41]

Answer:

his tank can hold 24 gallons

Step-by-step explanation:

5/6 - 1/2 = 2/6 2/6 of tank = 8 gallons So, tank can hold 24 gallons.

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3 years ago

Which expression is equivalent to One-fourth minus three-fourths x? One-fourth (1 + 3 x) One-fourth (1 minus 3 x) One-fourth (ne

Juli2301 [7.4K]

Answer:

1/4(1 - 3x)

Step-by-step explanation:

Step 1: Write out expression

1/4 - 3/4x

Step 2: Factor out GCF

1/4(1 - 3x)

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4 years ago

Read 2 more answers

Find a counter example for the statement all bears are brown.

Mrac [35]

Although the majority of bears that you see are brown there is also black bears and white polar bears in different parts of the world

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3 years ago