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2 years ago

Simplify. (2x5+x3−3x4−x+8)−(7x5+2x4−12+6x−5x3+x2) Enter your answer, in standard form, in the box.

Mathematics

1 answer:

Murrr4er [49]2 years ago

8 0

Answer:

-5 x^5 - 5 x^4 + 6 x^3 - x^2 - 7 x + 20

Step-by-step explanation:

(2x^5+x^3−3x^4−x+8)−(7x^5+2x^4−12+6x−5x^3+x^2)

Distribute the minus sign

(2x^5+x^3−3x^4−x+8)−7x^5-2x^4+12-6x+5x^3-x^2

Put them in order from largest exponent to smallest exponent

2x^5−7x^5−3x^4-2x^4+5x^3+x^3-x^2-6x−x+8+12

Combine like terms

-5x^5 -5x^4 +6x^3 -x^2 -7x +20

Standard form is from largest exponent to smallest exponent

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An event manager recorded the number of people in different age groups who attended a music concert:

Vesnalui [34]

Answer:

Age Group Number of People 18–24 80 25–31 120 32–38 40 39–45 20

The data in each bar is how many people in that group.

So 18-24 has 80 people

25-31 has 120 people

32 -38 has 40 people

39-45 has 20 people

Step-by-step explanation:

3 0

1 year ago

Five added to a number gives the sum of 39. what is the unknown number?

gregori [183]

Answer:

The unknown number is 34.

Step-by-step explanation:

x+5=39

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6 0

3 years ago

Find the area of the trapezoid A. 168 in^2 B. 94.5 ft^2 C. 72 ft^2 D. 84 ft^2

Rainbow [258]

Answer:

D. 84 ft^2

Step-by-step explanation:

Formula for area of a trapezoid:

$A=\frac{a+b}{2} h$

where a and b = bases and h = height

The trapezoid shown has the following dimensions

base 1 = 9ft

base 2 = 12ft

height = 8ft

Using the following information we plug in the values into the formula

$A=\frac{9+12}{2} \\9+12=21\\\frac{21}{2} =10.5\\10.5*8=84$

Hence, the area of the trapezoid is 84ft² and your answer is D

4 0

2 years ago

Hokiris ladder has two legs that are each 8 feet long. When the ladder is opened safely and locked for use, the legs are 4 feet

guajiro [1.7K]

To solve this problem you must apply the proccedure shown below:

1- The ladder forms an isosceles triangle, because it has two equal sides.

2- Let's call the angle $\alpha$ . To calculate it , you can divide the triangle into two equal right triangles and the angle $\alpha$ will be divided into two equal parts too. Therefore, you can calculate the half of the angle and then multiply it by two, as following: