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lawyer [7]
2 years ago
6

Simplify the expression

Mathematics
1 answer:
kow [346]2 years ago
4 0

Answer:

<h3>           f(x) = 5x² + 2x</h3><h3>           g(x) = 6x - 6</h3>

Step-by-step explanation:

\dfrac{5x^3-8x^2-4x}{6x^2-18x+12}\\\\6(x^2-3x+2)\ne0\ \iff\ x=\frac{3\pm\sqrt{9-8}}{2}\ne0\ \iff\ x\ne2\ \wedge\ x\ne1\\\\\\\dfrac{5x^3-8x^2-4x}{6x^2-18x+12}=\dfrac{x(5x^2-8x-4)}{6(x^2-3x+2)}=\dfrac{x(5x^2-10x+2x-4)}{6(x^2-2x-x+2)}=\\\\\\=\dfrac{x[5x(x-2)+2(x-2)]}{6[x(x-2)-(x-2)]} =\dfrac{x(x-2)(5x+2)}{6(x-2)(x-1)}=\dfrac{x(5x+2)}{6(x-1)}=\dfrac{5x^2+2x}{6x-6}\\\\\\f(x)=5x^2+2x\\\\g(x)=6x-6

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Which set of numbers could represent the lengths of the sides of a right triangle?
vitfil [10]

in this problem what you are really looking for is which of these sets is a pathagorean triple. That means it will solve the pathagorean theorem. (a sqaured + b squared = c squared) c is always going to be the largest number or the hypotenuse. if you plug all the number sets into the theorem, only one works and that is 7, 24, 25 which is your answer.

4 0
3 years ago
The test scores of 40 students are listed below. Find P85.
SIZIF [17.4K]

Answer:

Option A (89).

Step-by-step explanation:

Percentile is a statistic in which the an element at a certain percentage position is determined. To calculate the percentiles accurately, it is important that the data is present in the ascending order. Percentile is an important concept in data analysis. Interestingly, 50th percentile is the median of the data. The difference between the 75th and the 25th percentile is the interquartile range. To find the 85th percentile of the data, calculate 85% of 40, which is the number of elements in the data set. 40 * 85/100 = 34. The number on the 34th position is the 85th percentile of the data. It can be observed that 89 is on the 34th position. Therefore, Option A is the answer!!!

8 0
3 years ago
What is the area of the rectangle
NISA [10]

Answer:

E. 54cm ^2

Step-by-step explanation:

when finding the area just multiply length over width .for example 9 is the length times it to the width 6 you get 54 so the area will be 54 cm

4 0
3 years ago
Read 2 more answers
A pile of coins, consisting of nickels, dimes, and quarters, is worth $4.55. There are 4 more dimes than nickels and 3 quarters
frozen [14]
Fun

n=number of nickles
q=number of quarters
d=number of dimes


4 more dmes than nickles, 3 more quarters than dimes
d+4=n
q=3+d

total value is 455 cents
10d+5n+25q=455
divide both sides by 5 to simplify
2d+n+5q=91

now we convert all to one coin
q=3+d and n+4=d
subsitute 3+d for q and n+4 for d

2(n+4)+n+5(3+d)=91
2(n+4)+n+5(3+n+4)=91
2(n+4)+n+5(n+7)=91
2n+8+n+5n+35=91
8n+43=91
minus 43 both sides
8n=48
divide both sides by 8
n=6

sub back
n+4=d
6+4=d
10=d

q=3+d
q=3+10
q=13


6 nickles
10 dimes
13 quarters
5 0
3 years ago
A map of a rectangular park has a length of 4 inches and a width olo and a width of 6 inches. It uses a scale of 1 inch for ever
Zielflug [23.3K]

Answer:

The actual area of the park is 21,600 miles square.

Step-by-step explanation:

<u>Step 1: Calculate the area of the park</u>

<em>Area of rectangle = Length x width</em>

Length = 4 inches

Width = 6 inches

Scale factor is given as, 1 inch = 30 miles.

So, converting the length and width in miles by using the scale factor, we get

Length = 4 * 30 = 120 miles

Width =  6 * 30 = 180 miles

The formula of finding the area of an rectangle is:

<em>Area = length x width</em>

By putting the values in equation, we get

Area = 120 x 180

Area = 21,600 miles square

Therefore, the actual area of the park is 21,600 miles square.

8 0
3 years ago
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