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4 years ago

Manuel took 2 2/5

Mathematics

1 answer:

yan [13]4 years ago

3 0

1 whole hour... 2 2/5 x 3 - 1 1/3 x 5=2 6/15 - 1 5/15. (Reduced) 1 1/1

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The general term for the sequence 3/4,6/5,9/6,12/7,15/8

Ronch [10]

Answer:

B . $\frac{3 n}{n+3}$

Step-by-step explanation:

<u>Arithmetic sequence</u>:-

Step1:

Given sequence is $\frac{3}{4} ,\frac{6}{5} ,\frac{9}{6} ,\frac{12}{7} ,\frac{15}{8}$

Above sequence taking numerator terms

3,6,9,12,15 are in arithmetic progression

First term a= 3 and difference d = 3

now n t h term of given sequence is

$t_{n} =a+(n-1)d$

now substitute a =3 and d=3

$t_{n} = 3+(n-1)3 = 3+3 n-3=3n$

Step2:-

Above sequence taking denominator

4,5,6,7,8...

here a=4 and d=1

$t_{n} =a+(n-1)d$

$t_{n} =4+(n-1)1$

$t_{n}=3+n$

Final answer is the general term of given sequence is

$t_{n} = \frac{3n}{3+n}$

3 0

4 years ago

Write an equation in slope-intercept form for this line

nlexa [21]

The answer is y=1/2x+12

4 0

3 years ago

Write the matrix equation as a system of linear equations without matrices. [Start 3 By 3 Matrix 1st Row 1st Column 1 2nd Column

ASHA 777 [7]

Answer:

$x-2y-4z=8\\5x-4y+7z=5\\-7x+5y+2z=-3$

Step-by-step explanation:

Given the matrix equation below:

$\left(\begin{array}{ccc}1&-2&-4\\5&-4&7\\-7&5&2\end{array}\right)\left(\begin{array}{ccc}x\\y\\z\end{array}\right) =\left(\begin{array}{ccc}8\\5\\-3\end{array}\right)$

We are required to write the matrix equation as a system of linear equations without matrices.

$\left(\begin{array}{ccc}1&-2&-4\\&&\\&&\end{array}\right)\left(\begin{array}{ccc}x\\y\\z\end{array}\right) =\left(\begin{array}{ccc}8\\&\\&\end{array}\right)$is equivalent to: x-2y-4z=8$

$\left(\begin{array}{ccc}\\5&-4&7\\&&\end{array}\right)\left(\begin{array}{ccc}x\\y\\z\end{array}\right) =\left(\begin{array}{ccc}&\\5\\&\end{array}\right)$ is equivalent to: 5x-4y+7z=5$

$\left(\begin{array}{ccc}&\\&\\-7&5&2\end{array}\right)\left(\begin{array}{ccc}x\\y\\z\end{array}\right) =\left(\begin{array}{ccc}&\\&\\-3\end{array}\right)$ is equivalent to: -7x+5y+2z=-3$