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3 years ago

What is the simplest form of

Mathematics

1 answer:

marusya05 [52]3 years ago

7 0

Factor the numerator and factor the denominator.

$\frac{x^2 + 5x - 36}{x^2 - 16} = \frac{(x +9)(x - 4)}{(x + 4)(x - 4)} = \frac{x+9}{x+4}$

Then you divide the numerator and the denominator by the common factor to reduce the fraction.

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olya-2409 [2.1K]

13 pints 5 quarts ihow to do this but I tried );

7 0

3 years ago

Simplify completely*****

san4es73 [151]

Answer:

$\displaystyle \frac{2(x + 4)}{3}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Terms/Coefficients
Factoring

Step-by-step explanation:

Step 1: Define

$\displaystyle \frac{4x + 16}{6}$

Step 2: Simplify

[Fraction] Factor numerator: $\displaystyle \frac{4(x + 4)}{6}$
[Fraction] Reduce: $\displaystyle \frac{2(x + 4)}{3}$

5 0

3 years ago

The price of a cup of coffee was $2.40 yesterday. Today, the price rose to $2.65. Round your answer to the nearest tenth of a pe

Ymorist [56]

To find the percent increase you need to first find how much the price went up: 2.65 - 2.4 = .25 Now divide .25 by the original price.

5 0

3 years ago

Need help on this please

rodikova [14]

Answer: 2√10 - √30

explanation:

ok so they’re asking for the difference between the lengths of the sides of each cube. they have different SA’s (surface areas). all you gotta do is plug in the SA in the given equation to find the length of the side and THEN you subtract the answers and thats how you find the difference between the sides.

given:
s = √(SA/6)
SA1 = 240 m^2
SA2 = 180 m^2

S1 = √(240/6) = 2√10 or 6.32
S2 = √(180/6) = √30 or 5.47

s1 -s2 = 2√10 - √30

4 0

3 years ago

The weight of a radioactive isotope was 96 grams at the start of an experiment. After one hour, the weight of the isotope was ha

zimovet [89]

The starting weight of the radioactive isotope = 96 grams

Weight after one hour is half of the starting weight. So the weight of the radioactive isotope after 1 hour = 48 grams

After 2 hours the weight is half as compared to the weight after previous hour. So weight after 2 hours = 24 grams.

This means, after every hour the weight is being halved. The half life of radioactive isotope is one hour.

Since after every hour, the weight is being halved, the weight of the isotope can be modeled by an exponential equation.

So,

Initial Weight = W₁ = 96
Change factor = 1/2 = 0.5

The general equation of the sequence will be:

$\\ \\ W_{t}=96(0.5)^{t}$

Here t represents the number of hours. Using various values of t we can find the weight of the radioactive isotope at that time.

We can plot the sequence using the above equation. The graph is attached below.

3 0

3 years ago

Read 2 more answers