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3 years ago

5

D - 41 = 19

1 answer:

DaniilM [7]3 years ago

3 0

Answer:

<u>see explanation</u>

Step-by-step explanation:

add 41; d = 60

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5/x+3 take away 1/x-2 equals to 1. solve two possible answers for x

satela [25.4K]

Answer:

<h3><u>Solution</u><u>:</u><u>-</u></h3>

First write the given equation

$\qquad{:}\longrightarrow$ $\sf \dfrac {5}{x+3}-\dfrac{1}{x-2}=1$

$\qquad{:}\longrightarrow$ $\sf \dfrac {5 (x-2)-1 (x+3)}{(x+3)(x-2)}=1$

$\qquad{:}\longrightarrow$ $\sf \dfrac {5x-10-x }{x^2-6x-6} =1$

use cross multiplication method

$\qquad{:}\longrightarrow$ $\sf 5x-x-10=x^2-6x-6$

$\qquad{:}\longrightarrow$ $\sf x^2-6x-6=4x-10$

$\qquad{:}\longrightarrow$ $\sf x^2-6x-4x-6+10=0$

$\qquad{:}\longrightarrow$ $\sf x^2-10x+4=0$

use quadratic formula

$\qquad{:}\longrightarrow$ $\sf x=\dfrac {-b\underline{+}\sqrt {b^2-4ac}}{2a}$

$\qquad{:}\longrightarrow$ $\sf x=\dfrac {10\underline{+}\sqrt {(-10)^2-4×1×4}}{2×1}$

$\qquad{:}\longrightarrow$ $\sf x=\dfrac {10\underline{+}\sqrt{100-16}}{2}$

$\qquad{:}\longrightarrow$ $\sf x=\dfrac {10\underline{+}\sqrt {84}}{2}$

$\qquad{:}\longrightarrow$ $\sf x=\dfrac {10+\sqrt {84}}{2}\quad or\quad x=\dfrac {10-\sqrt{84}}{2}$

8 0

3 years ago

What is 1 2/3 to the 3rd power

hammer [34]

Answer:

$2\frac{7}{9}$

Step-by-step explanation:

In order to get the answer to this question you must change the mixed number into a improper fraction then multiply the improper fraction as many times as it's exponent.

$1\frac{2}{3} ^3$

Turn the mixed number into a improper fraction:

$1\frac{2}{3} =\frac{5}{3}$

$=\frac{5}{3}^3$

$\frac{5}{3} ^3=\frac{5}{3} \times\frac{5}{3} \times\frac{5}{3}$

Now multiply:

$\frac{5}{3} \times\frac{5}{3} =\frac{25}{9}$

$\frac{25}{9} \times\frac{5}{3} =\frac{75}{27}$

Turn the improper fraction into a mixed number:

$\frac{75}{27} =2\frac{7}{9}$

$=2\frac{7}{9}$

Hope this helps.

5 0

4 years ago

Please help me guys, I'll give brainliest Tysm !!

Yanka [14]

Hello! :)

$\large\boxed{ =7^{8}}$

Use the exponential rule:

$a^{b} * a^{c} = a^{b + c}$

Use this property in this scenario:

$7^{2} * 7^{6} = 7^{2 + 6}$

Simplify:

$= 7^{8}$

3 0

3 years ago

Help please :-))))))))

ira [324]

The answer is A....a=5 b=30

4 0

3 years ago

Free_Kalibri [48]

Answer:

1- not every ratoonal number has to terminate

2- Yes, the profuct of any two consecutive interger is positive

Step-by-step explanation:

2 → -3 × -4 = -12

7 0

2 years ago