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3 years ago

If a man sold for an article for rs150 gaining 50% thenn the cost price of the article is

Mathematics

1 answer:

maria [59]3 years ago

8 0

Answer:

Step-by-step explanation:since i helped can i have brainlst please that would be greatly apericated

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Simplify 5+2i/6+i

nlexa [21]

Given problem is $\frac{(5+2i)}{(6+i)}$

To simplify that we need to multiply and divide by conjugate of the denominator

conjugate of denominator 6+i will be 6-i as we just need to change sign of the imaginary part

Now multiply and divide by 6-i

$=\frac{(5+2i)}{(6+i)}\cdot\frac{(6-i)}{(6-i)}$

$=\frac{30-5i+12i-2i^2}{36-6i+6i-i^2}$

$=\frac{30+7i-2i^2}{36-i^2}$

$=\frac{30+7i-2\left(-1\right)}{36-\left(-1\right)}$

$=\frac{30+7i+2}{36+1}$

$=\frac{32+7i}{37}$

$=\frac{32}{37}+\frac{7}{37}i$

Hence final answer is $\frac{32}{37}+\frac{7}{37}i$

3 0

3 years ago

One of the roots of the quadratic equation 4mnx^2 – 6m^2x – 6n^2x + 9mn = 0 (m, n ≠ 0) is a)-3m/2n b)3m/2n c)2m/3n d)-2m/3n

maxonik [38]

Answer:

$B.\ \frac{3m}{2n}$

Step-by-step explanation:

Given

$4mnx^2 - 6m^2x - 6n^2x + 9mn = 0\ (m, n \neq 0)$

Required

Calculate one of the root of the equation

$4mnx^2 - 6m^2x - 6n^2x + 9mn = 0$

Factorize

$2mx(2nx - 3m) -3n(2nx - 3m) = 0$

$(2mx - 3n)(2nx - 3m) = 0$

Split equation

$2mx - 3n = 0\ or\ 2nx - 3m = 0$

Make x the subject of formula in both expressions

$2mx = 3n\ or\ 2nx = 3m$

$x = \frac{3n}{2m}\ or\ x = \frac{3m}{2n}$

<em>From the list of given options, one of the roots of the equation is</em> $\frac{3m}{2n}$

4 0

3 years ago

How did they get the -5? I got -3

Naya [18.7K]

F(x) = x² - 3x
g(x) = √x - 1

f(g(x))= (√x - 1)² - 3(√x - 1) = (√x - 1)(√x - 1 - 3) =(√x - 1)(√x - 4) =
= √x √x -1*√x -4*√x +4 = x -5√x +4

Answer: x -5√x +4

4 0

3 years ago

Choose all the sets containing the number –1.576.

strojnjashka [21]

Answer:

This number belongs to rational number and real number set.

Step-by-step explanation:

The given number is a rational number because it is terminating.

It is also a real number because it does not have any imaginary part.

So, this number belongs to rational number and real number set.

It cannot be an integer or whole number as it has decimal.

It cannot be irrational as well, as it is terminating.

3 0

3 years ago

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Claire says that she can draw an obtuse equilateral triangle. Is she correct? Explain.

notka56 [123]

No, because an equilateral triangle is also equiangular so all sides must be 60° (60+60+60=180) and an obtuse angle is more than 90° so the triangle would not be equilateral.

Hope I Helped (:

7 0

3 years ago

Read 2 more answers