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IRINA_888 [86]
3 years ago
5

. If n(A)=2 n(B)=3 n(AՈB) =24, what is the value of n(AUB)?​

Mathematics
1 answer:
____ [38]3 years ago
8 0

Step-by-step explanation:

The answer is is the picture..

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HHHHHHHHHHHEEEEEEEEEELLLLLLLLPPPPPPP FIRST RIGHT GITS BRAINLEST
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Answer:

300

Step-by-step explanation:

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2 years ago
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Consider the function f(x)= 2/5x-4
Gre4nikov [31]

Answer: a) \frac{5}{2}x+10=f^{-1}(x)=g(x)

Step-by-step explanation:

Since we have given that

f(x)=\frac{2}{5}x-4

a.) Find the inverse of f(x) and name it g(x).

Let f(x) = y

So, it becomes

y=\frac{2}{5}x-4

Switching x to y , we get

x=\frac{2}{5}y-4

5x=2y-20\\\\5x+20=2y\\\\\frac{5x+20}{2}=y\\\\\frac{5}{2}x+10=y\\\\\frac{5}{2}x+10=f^{-1}(x)=g(x)

b) . Use composition to show that f(x) and g(x) are inverses of each other.

\mathrm{For}\:f=\frac{2}{5}x-4\:\\\\\mathrm{substitute}\:x\:\mathrm{with}\:g\left(x\right)=\frac{5}{2}x+10\\\\=\frac{2}{5}\left(\frac{5}{2}x+10\right)-4\\\\=x

Similarly,

\mathrm{g\left(x\right)=\frac{5}{2}x+10,\:f\left(x\right)=\frac{2}{5}x-4,\:g\left(x\right)\circ \:f\left(x\right)}\\\\\mathrm{For}\:g=\frac{5}{2}x+10\:\mathrm{substitute}\:x\:\mathrm{with}\:f\left(x\right)=\frac{2}{5}x-4\\\\=\frac{5}{2}\left(\frac{2}{5}x-4\right)+10\\\\=x

so, both are inverses of each other.

c) Draw the graphs of f(x) and g(x) on the same coordinate plane.

As shown below in the graph , Since for inverse function we need an axis of symmetry i.e. y=x

And both f(x) and g(x) are symmetry to y=x.

∴ f(x) and g(x) are inverses of each other.


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3 years ago
The formula I = PRT where I = Interest, P = Principal, R = Rate, and T = rime use to calculate the amount of simple interest ear
monitta
\bf ~~~~~~ \textit{Simple Interest Earned}
\\\\
I = Prt\qquad 
\begin{cases}
I=\textit{interest earned}\\
P=\textit{original amount deposited}\\
r=rate\to r\%\to \frac{r}{100}\\
t=years
\end{cases}
\\\\\\
I=Prt\implies \cfrac{I}{Pr}=t
3 0
3 years ago
Can someone please help with this maths !!!!!
ioda

Answer:

C)  -3

Step-by-step explanation:

Rearrange your equation so that it is in slope-intercept form (y = mx + b).  The m in the equation is the gradient.

y = 7 - 3x

y = -3x + 7

The m-value is -3.  This means that the gradient is -3.

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