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3 years ago

Add. Simplify the answer to lowest terms before entering the numerator and denominator in their boxes. 47/148+29/148

Mathematics

2 answers:

Anastaziya [24]3 years ago

5 0

Answer:

$\frac{19}{37}$

Step-by-step explanation:

Given expression is,

$\frac{47}{148}+\frac{29}{148}$

$=\frac{47+29}{148}$ ( Adding fractions ),

$=\frac{76}{148}$

Since, HCF(76, 148) = 4,

Divide both numerator and denominator by 4,

$=\frac{76/4}{148/4}$

$=\frac{19}{37}$

Murrr4er [49]3 years ago

4 0

76/148=38/74=19/37 lowest terms

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The quotient of (x^3+3x^2-4x-12)/(x^2+5x+6)

Elis [28]

Answer: The quotient is (x-2).

Step-by-step explanation:

Since we have given that

$f(x)=(x^3+3x^2-4x-12)\\\\and\\\\g(x)=x^2+5x+6\\\\So,\ \frac{\left(x^3+3x^2-4x-12\right)}{\left(x^2+5x+6\right)}$

Now, we have to find the quotient of the above expression.

So, here we go:

$Factorise\ (x^3+3x^2-4x-12)\\\\=\left(x^3+3x^2\right)+\left(-4x-12\right)\\\\=-4\left(x+3\right)+x^2\left(x+3\right)\\\\=\left(x+3\right)\left(x^2-4\right)$

Now, we will divide the above simplest form with g(x):

$\frac{\left(x+3\right)\left(x^2-4\right)}{\left(x+2\right)\left(x+3\right)}\\\\=\frac{x^2-4}{x+2}\\\\=\frac{\left(x+2\right)\left(x-2\right)}{x+2}\ using\ (a^2-b^2)=(a+b)(a-b)\\\\=x-2$

Hence, the quotient is (x-2).

6 0

3 years ago

Read 2 more answers

What is the difference between categorical and quantitative data? Give examples of each of your own for each. Also decide whethe

Snezhnost [94]

Categorical data may or may not have some logical order while the values of a quantitative variable can be ordered and measured.

Categorical data examples are: race, sex, age group, and educational level

Quantitative data examples are: heights of players on a football team; number of cars in each row of a parking lot

a) Colors of phone cover - quantitative

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3 years ago

A park is 4 times as it is wide. If the distance around the park is 12.5 kilometers what is the area of the park

MaRussiya [10]

Answer:

6.25 km

Step-by-step explanation:

Here is the correct question: A park is 4 times as long as it is wide. If the distance around the park is 12.5 kilometers, what is the area of the park?

Given: Perimeter (Distance) of the park= 12.5 km

Considering park is in rectangular shape.

Let the width of park be x

∴ as given length will be 4x.

Formula for perimeter of rectangle = $2\times (length + width)$

Perimeter is given 12.5 km

⇒ $12.5= 2\times (4x+x)$

⇒ $12.5= 10x$

∴ x= 1.25 km, which means width is 1.25 km and length is 5 km.

Now, finding the area of park

Formula; Area of rectangle= $length\times width$

∴ Area of rectangle= $5\times 1.25 = 6.25 km$

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3 years ago

6n- 15 = 6(5)? – 15<br> =

kozerog [31]

Answer:

what

Step-by-step explanation:

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2 years ago

The value -2 is a lower bound for the zeros of the function shown below.

Tju [1.3M]

Answer:

False

Step-by-step explanation:

f(x) = 4x³ - 12x² - x + 15

Set output to 0.

Factor the function.

0 = (x + 1)(2x - 3)(2x - 5)

Set factors equal to 0.

x + 1 = 0

x = -1

2x - 3 = 0

2x = 3

x = 3/2

2x - 5 = 0

2x = 5

x = 5/2

-2 is not a lower bound for the zeros of the function.

7 0

3 years ago