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2 years ago

Rationalise 1/√7-√3PLEASE GIVE ANSWER IT'S URGENT

1 answer:

5 0

$\dfrac 1{\sqrt 7- \sqrt 3}\\\\\\=\dfrac{\sqrt 7 + \sqrt 3}{\left ( \sqrt 7 -\sqrt 3\right) \left( \sqrt 7 + \sqrt 3\right)}\\\\\\=\dfrac{\sqrt 7 + \sqrt 3}{\left(\sqrt 7 \right)^2 - \left(\sqrt 3 \right)^2}\\ \\\\=\dfrac{\sqrt 7 + \sqrt 3}{7-3}\\\\\\=\dfrac 14\left(\sqrt 7 + \sqrt 3\right)$

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there are 8 students on the minibus. five of the students are boys. what fraction of the students are boy

meriva

Students on the minibus = 8
students that are boys = 5
fraction of the student that are boys = ?
we can write fraction as the numerator and denominator so here the fraction of boys students is = 5/8
this fraction means and shows that there are 5 students are boys from 8 students.

3 0

4 years ago

I need help on this ASAP

BabaBlast [244]

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7 0

3 years ago

I need help I do not understand this at all

Alecsey [184]

3over 7 10 -2 over 2 5=1and 15

5 0

4 years ago

I need to verify identity functions for a one to one function.

Eddi Din [679]

We have the function

$f(x)=(x+6)^3$

1. For f^-1:

Let y = f(x) = (x+6)^3

Switch x and y to get:

$x=(y+6)^3$

And solve for y

$\begin{gathered} x^{\frac{1}{3}}=y+6 \\ x^{\frac{1}{3}}-6=y+6-6 \\ x^{\frac{1}{3}}-6=y \end{gathered}$

And we have y = f^-1(x)

Answer blank 1:

$f^{-1}(x)=x^{\frac{1}{3}}-6$

2. For f o f^-1 (x):

$(f\circ f^{-1})(x)=f(f^{-1}(x))$

And solve

$\begin{gathered} =f(x^{\frac{1}{3}}-6) \\ =(x^{\frac{1}{3}}-6+6)^3 \\ =(x^{\frac{1}{3}})^3 \\ =x \end{gathered}$

answer blank 2

$x^{\frac{1}{3}}-6$

answer blank 3

$x^{\frac{1}{3}}-6$

answer blank 4

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

3. For f^-1 o f:

$(f^{-1}\circ f)(x)=f^{-1}(f(x))$

Solve

$\begin{gathered} =f^{-1}((x+6)^3) \\ =\sqrt[3]{(x+6)^3}-6 \\ =x+6-6 \\ =x \end{gathered}$

answer blank 5

$(x+6)^3$

answer blank 6

$(x+6)^3$

answer blank 7

$x+6$

4 0

1 year ago

What is t?<br><br> 1/4t + 9 = 3

sertanlavr [38]

1/4t + 9 = 3
Subtract 9 from both sides
1/2t= -6
Divide 1/2 on both sides so that the only thing remaining on the left side is the variable t.
Final Answer: t= -12

6 0

3 years ago

Read 2 more answers

Rationalise 1/√7-√3PLEASE GIVE ANSWER IT'S URGENT ​

Rationalise 1/√7-√3PLEASE GIVE ANSWER IT'S URGENT