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Alika [10]
3 years ago
7

Simplify the following completely, show all work.4 + ✓-27​

Mathematics
1 answer:
V125BC [204]3 years ago
8 0

Answer:

4+3i\sqrt{3}

Step-by-step explanation:

the \sqrt{-27} needs to be simplified

first, I broke it down to\sqrt{-1} and \sqrt{27}

\sqrt{-1} simplifies to i ;and  can be broken down to \sqrt{9} and \sqrt{3}

\sqrt{9} can be simplified further to 3

Now all you have to do is put it together

4(which you didnt have to do anything to)+ 3i( 3 from the sqrt of 9 and i from the sqrt of -1) sqrt 3( which cant be simplified further)

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Delvig [45]
The filled in dot means inclusive and the hallow dot means exclusive. For an inequality, inclusive will mean it can be equal to that number as well as being less or greater than. Exclusive means the opposite.
In terms of x, the number line shows that -2 <= x < 2.

7 0
4 years ago
Your bank is offering a savings account with a nominal rate of 1.5%, compounded continuously. If you deposit $1,000 in 2010, wha
Anastaziya [24]

Answer:

$1,161.83

1.51%

Step-by-step explanation:

Continuously compounded interest is:

A = Pe^(rt)

where A is the final amount,

P is the initial amount,

r is the rate per time,

and t is time.

Given P = 1000, r = 0.015, and t = 10:

A = 1000e^(0.015 × 10)

A = 1000e^(0.15)

A = 1161.83

The effective annual yield is the annually compounded rate needed to have the same yield after the same time.  For continuously compounded interest, he equation for effective annual yield is:

R = -1 + e^r

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R = 0.0151

The effective annual yield is 1.51%.

7 0
4 years ago
If f(x) = 2x2 + 3 and g(x) = x2 – 7, find (f + g)(x).
Reika [66]

Answer:

B.3x2 - 4

Step-by-step explanation:

(f+g)(x) ➡ f(x) +g(x)

add up the functions

2x2 + 3 + x2 - 7 = 3x2 - 4

8 0
4 years ago
When x=8, y=20.Find why when x =42
vichka [17]
X=8
y=20
x=42?
x = 8 So, 8=42
5 0
4 years ago
Two angles are comlementary. the first angle measures x and the second angle measures 3x-10. find x?
ryzh [129]
X=25

4x-10=90
Add 10 to both sides
4x=100
Divide both sides by 4
6 0
3 years ago
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