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tatyana61 [14]
3 years ago
15

3(x- 1) - 8 = 4 (1+ x) = +5

Mathematics
1 answer:
katrin [286]3 years ago
6 0

Answer:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

x = 5 x = 4

Step-by-step explanation:

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What is the following quotient? 5/√11-√3
kati45 [8]

ANSWER

\frac{5( \sqrt{11}  +  \sqrt{3} )} {8}

EXPLANATION

The given rational function is

\frac{5}{ \sqrt{11} -  \sqrt{3}}

We need to rationalize the denominator by multiplying both the numerator and the denominator by the conjugate of

\sqrt{11}  -  \sqrt{3}

which is

\sqrt{11}   +  \sqrt{3}

When we rationalize we obtain:

\frac{5( \sqrt{11}  +  \sqrt{3} )}{(\sqrt{11}  - \sqrt{3} )( \sqrt{11}  +  \sqrt{3} )}

The denominator is now a difference of two squares:

(a - b)(a + b) =  {a}^{2}  -  {b}^{2}

We apply this property to get

\frac{5( \sqrt{11}  +  \sqrt{3} )}{( \sqrt{11}) ^{2}    -  ( \sqrt{3}) ^{2}  )}

\frac{5( \sqrt{11}  +  \sqrt{3} )}{11   -  3}

This simplifies to

\frac{5( \sqrt{11}  +  \sqrt{3} )} {8}

Or

\frac{5 }  {8}\sqrt{11}  + \frac{5 }  {8}\sqrt{3}

8 0
3 years ago
Read 2 more answers
Which of the following statements is the converse of the statement, "If each of two angles has a measure of 28 degrees, then the
kogti [31]

Answer:

  1.) If two angles have equal measures, then the measure of each is 28 degrees.

Step-by-step explanation:

The converse of a statement simply swaps the positions of the "if" and "then" clauses. Without any modification for clarity or readability, the converse would be ...

  if <em>two angles are equal in measure</em>, then <em>each of the two angles has a measure of 28 degrees</em>.

3 0
3 years ago
3) James earned a total of $900 last week. He worked for 5 hours at his usual rate, then earned a bonus of $20 for each hour tha
agasfer [191]

Answer:

$160 hourly rate

Step-by-step explanation:

20 x 5 = 100

900 - 100 = 800

800 ÷ 5 = 160

To check: Multiply 160 by 5 and then add 100

3 0
2 years ago
Pls helppppp 30 minutes left!! If correct I'll give brainliest to who answers correct first.
anygoal [31]

Answer:

it should be 3.) x+2

Step-by-step explanation:

4 0
3 years ago
75=0.25 X 1.33N<br> How do you solve for N
kakasveta [241]

Answer:

N=625/3

Step-by-step explanation:

1) 0.25 ⋅ 1.44N=75

2) 0.36N=75

3) 0.36N/0.36 = 75/0.36

4) N= 625/3

Hope that helps

Have a good day

5 0
3 years ago
Read 2 more answers
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