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3 years ago

16x 2 + 8x - 15 Mathematics?

1 answer:

5 0

If you're factoring, your answer is

(4x - 3)(4x + 5)

You'll work it out this way:

16x^2 + 8x - 15

Since there's no GCF here, you multiply the first and third terms, giving you -240. Your next step is to find two numbers that have a sum of 8 and a product of -240. These numbers are 20 and -12. Plug those in and you've got:

16x^2 + 20x - 12x - 15

From here you divide it into two binomials. These are (16x^2 + 20x) and (-12x - 15).
When you take out the greatest common factors (4x and -3), they become:

4x(4x + 5) - 3(4x + 5)

Then you group what's outside of the parentheses together (4x - 3)
And bring what's inside of the parentheses down (4x + 5).
This brings your answer to

(4x - 3)(4x + 5)

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Describe how (2 cubed) (2 superscript negative 4) can be simplified.

Varvara68 [4.7K]

<u>Given</u>:

The given expression is $(2^3)(2^{-4})$

We need to determine how the expression can be simplified.

<u>Simplifying the expression:</u>

Let us determine how the expression can be simplified.

The expression is given by

$(2^3)(2^{-4})$

Applying the exponent rule that $a^{b} \cdot a^{c}=a^{b+c}$ in the above expression, we get;

$2^{3} \cdot 2^{-4}=2^{3-4}$

Adding the exponents, we get;

$2^{3} \cdot 2^{-4}=2^{-1}$

Again, applying the exponent rule $a^{-1}=\frac{1}{a}$ , we get;

$2^{3} \cdot 2^{-4}=\frac{1}{2}$

Thus, the simplified expression is $\frac{1}{2}$

Hence, the expression is simplified by adding the exponents and keep the same base. Then find the reciprocal and change the sign of the exponent.

Therefore, Option D is the correct answer.

8 0

3 years ago

Read 2 more answers

Y/4= -19<br> what is y?<br> Find what y is

statuscvo [17]

Answer:

y= -76

Step-by-step explanation:

y/4=-19

*4 *4

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3 years ago

Read 2 more answers

Match the number set or type of number with the correct category

beks73 [17]

An integer is a rational number; 1/2 is a rational ratio with a denominator of 1; 0.4545 is a rational decimal; 0.44 is a irrational decimal and 0 is a rational whole numbers.

<h3>What is the difference between a rational and a irrational number?</h3>

The category irrational number can be applied to numbers that cannot be expresses as ratios or fractions. This includes decimals that do not terminate and are not repeating such as 0.44454...

<h3>On the other hand, rational numbers will include different types of numbers such as:</h3>

Integers: This refers to numbers that are not expressed as fractions.

Rational decimals: This includes repeating decimals such as 0.4545...

Rational ratios: This includes numbers such as 1/2 or 1/4.

Rational whole numbers such as 0,1,2, etc.

Learn more about rational numbers in: brainly.com/question/17450097

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2 years ago

Renting a movie from RedBox costs $1.29 each night, plus a one-time fee of $0.50. How much would it cost to rent a movie for 3 n

vitfil [10]

$4.37 for 3 $11.58 for 10

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3 years ago

Umbers to complete the problems below. 14. Marcy lives 1.15 miles away from her grandmother. What fraction represents the distan

joja [24]

Based on the information given, it should be noted that the fraction to represent the distance will be 1 3/20 miles.

<h3>How to convert decimal to fractions.</h3>

From the information given, it was stated that Marcy lives 1.15 miles away from her grandmother.

Therefore, the fraction that represents the distance between Marcy's house and her grandmother's will be:

= 1 + 15/100

= 1 + 3/20

= 1 3/20

Therefore, the fraction is 1 3/20.

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2 years ago