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Rzqust [24]
3 years ago
13

During a reading test enq

Mathematics
1 answer:
Irina-Kira [14]3 years ago
7 0

Answer:

thats tuff...

:

You might be interested in
Which fraction do you multiply by to simplify 5/ 4 - 3i ?
Rzqust [24]
So I assume
\frac{5}{4-3i}

If so. Let us begin.

\mathrm{Multiply\:by\:the\:conjugate}\:\frac{4+3i}{4+3i} \ \textgreater \  \frac{5\left(4+3i\right)}{\left(4-3i\right)\left(4+3i\right)} \ \textgreater \  \left(4-3i\right)\left(4+3i\right)

\mathrm{Apply\:complex\:arithmetic\:rule}:\ \left(a+bi\right)\left(a-bi\right)=a^2+b^2
Where\;a=4,\:b=-3 \ \textgreater \  4^2+\left(-3\right)^2 \ \textgreater \  Refine \ \textgreater \  25

\frac{5\left(4+3i\right)}{25} \ \textgreater \  \mathrm{Cancel\:the\:common\:factor:}\:5 \ \textgreater \  \frac{4+3i}{5}

Group\:the\:real\:part\:and\:the\:imaginary\:part\:of\:the\:complex\:number
\frac{4}{5}+\frac{3}{5}i\;is\;our\;answer!

Hope this helps!
3 0
3 years ago
How to find (c,d,e)<br>Please do a step by step working.Thank you.
Natasha2012 [34]
(a)
The inverse is when you swap the variables and solve for y.
g(t) = 2t - 1 (Note: g(t) represents y)
rewrite as: y = 2t - 1
swap the variables: t = 2y - 1
solve for y: t + 1 = 2y
                   \frac{t + 1}{2} = y
Answer for (a): g^{-1}(t) =  \frac{t + 1}{2}

(b)
Same steps as part (a) above:
h(t) = 4t + 3
rewrite as: y = 4t + 3
swap the variables: t = 4y + 3
solve for y: y =\frac{t - 3}{4}

Answer for (b): h^{-1}(t) = \frac{t - 3}{4}

(c)
g^{-1} ( h^{-1}(t)) =  g^{-1} (\frac{t - 3}{4})
replace all t's in the g^{-1}(t) equation with \frac{t - 3}{4}
 g^{-1} (\frac{t - 3}{4}) = \frac{ \frac{t-3}{4} + 1}{2}
= \frac{ \frac{t-3}{4} +  \frac{4}{4}}{2} = \frac{ \frac{t - 3 + 4}{4}}{2} = \frac{ \frac{t + 1}{4}}{2} =  \frac{t + 1}{8}
Answer for (c): g^{-1} ( h^{-1}(t)) = \frac{t + 1}{8}

 (d)
h(g(t)) = h(2t - 1) = 4(2t - 1) + 3 = 8t - 4 + 3 = 8t - 1
Answer for (d): h(g(t)) = 8t - 1

(e)
h(g(t)) = 8t - 1
   y = 8 t - 1
   t = 8y - 1
  t + 1 = 8y
\frac{t + 1}{8} = y
Answer for (e): inverse of h(g(t)) = \frac{t + 1}{8}
 
























8 0
3 years ago
What are the factors of x^2 + 3x -4 ?​
algol13

Answer:

1 and -4

Step-by-step explanation:

cause when you factor the equation its (x-1)(x+4)

4 0
3 years ago
Read 2 more answers
Paige’s back yard has an area of 95.9 square meters of the length of the yard is 14 meters what is the width
Mandarinka [93]
Your answer is 6.85 meters
5 0
3 years ago
Please answer this correctly
musickatia [10]

Answer:

12.5%

Step-by-step explanation:

There is only 1 seven card from the 8 total cards.

1 out of 8.

1/8 = 0.125

P(7) = 12.5%

6 0
3 years ago
Read 2 more answers
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