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iVinArrow [24]
3 years ago
5

Simplify the expression

Mathematics
1 answer:
AlexFokin [52]3 years ago
5 0

Answer:

B

Step-by-step explanation:

\frac{3+4\iota}{2+4\iota}=\frac{3+4 \iota}{2+4\iota} \times \frac{2-4 \iota}{2-4 \iota}\\=\frac{6 -12 \iota+8 \iota-16 \iota^2  }{4-16 \iota^2  }\\=\frac{ 6-4 \iota+16}{4+16}\\=\frac{22-4 \iota}{20}

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Dexter rode his bike 9/10 Miles from his house to the store then he rode 4/10 miles his uncle house use the benchmark to estimat
Mnenie [13.5K]

Answer:

Since he rode 9/10 to the store and 4/10 to his uncles house now, total distance covered is

9/10+4/10=13/10miles or 1.3miles

Step-by-step explanation:

First you find the total distance he rode by adding both distance he traveled then devide.

8 0
3 years ago
Consider the functions shown below.
I am Lyosha [343]

Answer: D

<u>Step-by-step explanation:</u>

A. False

f(x): x → -∞, y → -∞

g(x): x → -∞, y → 1  

B. False

at x = -1, f(x) = -7

at x = -1, g(x) = 1.5

C. False

refer to A

g(x) → 1 and f(x) → -∞   so g(x) > f(x)

D. TRUE

It is hard to tell from the graph so plug in a value to check.

f(10) = 5(10) - 2

       = 50 - 2

       = 48

g(10) = 2¹⁰ + 1

        = 1024 + 1

        = 1025

g(10) > f(10)

6 0
3 years ago
Which one is the nth term if a1=15 and d= -3​
levacccp [35]

Answer:

nth term = 18 - 3n

Step-by-step explanation:

nth term = a + (n - 1)d

a1 = 15

d = -3

nth term = a + (n - 1)d

= 15 + (n - 1)-3

= 15 + (-3n + 3)

= 15 - 3n + 3

= 18 - 3n

nth term = 18 - 3n

For instance, if you want to find the 10th term

nth term = 18 - 3n

10th term = 18 - 3(10)

= 18 - 30

= -12

10th term = -12

8 0
3 years ago
Determine the they value of 5(×+2)-4 when x=5
coldgirl [10]
When  x=5 ,

5(x+2) - 4  =  5(5+2) - 4  =  5(7) - 4  =  35 - 4  =  <em>31</em>
6 0
3 years ago
Read 2 more answers
Allison’s cupcake and cookie budget for her party is $105. She would like to have at least 40 cupcakes and cookies combined, and
FinnZ [79.3K]

Answer:

a + b ≥ 40

a + 5 ≤ b

2.50a + 1.50b ≤ 105

Step-by-step explanation:

We are told she would like to have at least 40 cupcakes and cookies combined.

If a is number of cupcakes and b is number of cookies, then this inequality is;

a + b ≥ 40

Secondly, we are told she would like to have at most 5 more cupcakes than cookies.

Thus, the inequality is;

a + 5 ≤ b

Lastly, we are told that cupcakes sell for $2.50 and cookies for $1.50

Thus, the inequality is;

2.50a + 1.50b ≤ 105

Finally, the 3 inequalities are;

a + b ≥ 40

a + 5 ≤ b

2.50a + 1.50b ≤ 105

4 0
3 years ago
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