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ra1l [238]
3 years ago
15

Simplify. 5x^3/7x^3+x^4

Mathematics
1 answer:
gizmo_the_mogwai [7]3 years ago
5 0

Answer:

5x^6/7 + x^4

Step-by-step explanation:

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Divide 29 into two parts so that the sun of the squares of the parts is 425.Find the value of each Part.
Taya2010 [7]

Answer:

13 and 16

Step-by-step explanation:

let the 2 parts be x and y, then

x + y = 29 → (1) and

x² + y² = 425 → (2)

From (1) → x = 29 - y → (3)

substitute x = 29 - y into (2)

(29 - y)² + y² = 425 ( expand factor )

841 - 58y + y² + y² = 425 ( rearrange into standard form )

2y² - 58y + 416 = 0 ← in standard quadratic form

divide all terms by 2

y² - 29y + 208 = 0

Consider the factors of 208 which sum to - 29

These are - 13 and - 16, hence

(y - 13)(y - 16) = 0

equate each factor to zero and solve for y

y - 13 = 0 ⇒ y = 13

y - 16 = 0 ⇒ y = 16

substitute these values into (3)

x = 29 - 13 = 16 and x = 29 - 16 = 13

The 2 parts are 13 and 16


4 0
3 years ago
Read 2 more answers
Sarah borrowed some money from her father at a simple interest rate of 5.5% to pay for her college tuition. At the end of the ye
gavmur [86]
\bf ~~~~~~ \textit{Simple Interest Earned Amount}
\\\\
A=P(1+rt)\qquad 
\begin{cases}
A=\textit{accumulated amount}\to &\$2555\\
P=\textit{original amount deposited}\\
r=rate\to 5.5\%\to \frac{5.5}{100}\to &0.055\\
t=years\to &1
\end{cases}
\\\\\\
2555=P[1+(0.055)(1)]\implies \cfrac{2555}{1+(0.055)(1)}=P
\\\\\\
\cfrac{2555}{1.055}=P\implies 2421.800947867 \approx P
4 0
3 years ago
17/20
Lena [83]

Answer:

2.39 cm

Step-by-step explanation:

6 0
2 years ago
What are the mean and median of these numbers,7, 14, 15, 15, 14, 16, 11, 3
marissa [1.9K]

Answer:

Mean: 11.875 or 11.9

Median: 14

Step-by-step explanation:

Mean = all numbers added up and then divided by the amount of numbers

Median = numbers ordered smallest to largest and then he middle number is your median, if there are two middle numbers then add those and divided by 2

8 0
3 years ago
The slope of a line is undefined, and the x-intercept is -7. what is the equation of the line?​
Andreyy89

The equation of line with undefined slope and x - intercept -7 is x = -7

<em><u>Solution:</u></em>

Given that the slope of line is undefined and the x intercept is -7

To find: Equation of line

If a line has undefined slope, then it is a vertical line

A vertical line has undefined slope because all points on the line have the same x-coordinate

<em><u>The equation of a vertical line always takes the form:</u></em>

x = b

where, "b" is the x - intercept

Given x - intercept is -7

<em><u>Thus the equation of line is:</u></em>

x = -7

Therefore, the equation of line is found

7 0
3 years ago
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