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4 years ago

Multiply and simplify. (x + 3)(x - 8)

Mathematics

1 answer:

Kazeer [188]4 years ago

4 0

Answer:

$x^{2} - 5x - 24$

Step-by-step explanation:

( x + 3 )( x - 8 ) =

$x^{2}$ - 8x + 3x - 24 = $x^{2}$ - 5x -24

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What is the simplified form of the following expression?

USPshnik [31]

Option C:

$$\frac{\sqrt[3]{100 x}}{5}=\sqrt[3]{\frac{4 x}{5}}$

Solution:

Given expression is

$$\sqrt[3]{\frac{4 x}{5}}$

Note: $\sqrt[3]{125}=\sqrt[3]{{5^3}} = 5$

To find the correct expression for the above simplified expression.

Option A: $\frac{\sqrt[3]{4 x}}{5}$

5 can be written as $\sqrt[3]{125}$ .

$$\frac{\sqrt[3]{4 x}}{5}=\frac{\sqrt[3]{4 x}}{\sqrt[3]{125} }$

$$=\sqrt[3]{\frac{4x}{125} }$

It is not the given simplified expression.

Option B: $\frac{\sqrt[3]{20 x}}{5}$

$$\frac{\sqrt[3]{20 x}}{5}=\frac{\sqrt[3]{20 x}}{\sqrt[3]{125} }$

$$=\sqrt[3]{\frac{20x}{125} }$

Cancel the common factor in both numerator and denominator.

$$=\sqrt[3]{\frac{4x}{25} }$

It is not the given simplified expression.

Option C: $\frac{\sqrt[3]{100 x}}{5}$

$$\frac{\sqrt[3]{100 x}}{5}=\frac{\sqrt[3]{100 x}}{\sqrt[3]{125} }$

$$=\sqrt[3]{\frac{100x}{125} }$

Cancel the common factor in both numerator and denominator.

$$=\sqrt[3]{\frac{4 x}{5}}$

It is the given simplified expression.

Option D: $\frac{\sqrt[3]{100 x}}{125}$

$$\frac{\sqrt[3]{100 x}}{125}=\frac{\sqrt[3]{100 x}}{5^3}$

It is not the given simplified expression.

Hence Option C is the correct answer.

$$\frac{\sqrt[3]{100 x}}{5}=\sqrt[3]{\frac{4 x}{5}}$

3 0

3 years ago

A student missed 3 questions on a 30 question test. what percent did she get correct?

Lyrx [107]

Answer:

90%

Explanation: 27/30 ÷ 3 = 9/10

9/10 ⇒ 9 x 10 = 90%

4 0

2 years ago

If p = w then p + s = q + sReflexive propertyMultiplication propertySymmetric propertyAddition property

Alexxandr [17]

I'm not sure what this entire question is, but I believe your answer is:

Symmetric Property.

<em>Please let me know if I'm wrong! I hope this helps anyways, goodluck!</em>

7 0

3 years ago

What is 7/35 converted into a decimal??

zheka24 [161]

Answer:

0.2

Step-by-step explanation:

it works out to be 0.2 as a decimal and 20% as a percentage.

6 0

3 years ago

Read 2 more answers

Which represent geometric sequences? Check all that apply.

Anon25 [30]

The sequence that represents a geometric sequence can be seen in the 1st option and the 4th option in the image attached.

<h3>What is a geometric sequence?</h3>

A geometric sequence is a set of integers that follows a pattern in which the following term is determined by multiplying the previous one by a factor known as the common ratio (r).

$\mathbf{a_n = a_{n-1}\times r}$ or $\mathbf{a_n = a_{1}\times r^{n-1}}$

$\mathbf{a_2 = a_{2-1}\times r}$

$\mathbf{a_2 = a_{1}\times r}$

$\mathbf{ r= \dfrac{a_2}{a_1}}$

From the options given, the options that have geometric sequences are:

3/16, 3/8, 3/4, 3/2

r = (3/8)/(3/16) = (3/4)/(3/8) = 2 (proves that it is a geometric sequence)

3, 9, 27, 81
r = 9/3 = 27/9 = 3 (proves that it is a geometric sequence)

Learn more about geometric sequence here:

brainly.com/question/1509142

#SPJ1

4 0

2 years ago