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ahrayia [7]
2 years ago
11

Simplify each radical

Mathematics
1 answer:
const2013 [10]2 years ago
8 0

Answer:

AECG

Step-by-step explanation:

1

sqrt(49) = 7

sqrt(a^2) = a

sqrt(b^2) = b

For every two variables you can take one out from under the root sign and thorough the other one away.

Answer: E

2

sqrt(36) = 6

sqrt(a^2) = a  See comment for 1.

b must be left where it is. There is only 1 of them.

6asqrt(b)

Answer: A

3. sqrt(25) = 5

sqrt(b^2) = b

a must be left alone.  There's only 1 of them.

5b sqrt(a)

answer: C

4

sqrt(81 a b)

sqrt(81) = 9

The variables must be left alone. There's only1 of them

9 sqrt(ab)

Answer G

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A home alarm system randomly assigns a five-character code for each customer. The code will not repeat a character. The characte
ahrayia [7]

Answer:

The total number of codes which can be assigned is, 55440 .

Step-by-step explanation:

According to the question, the home alarm system randomly assigns a five-character code for each customer.The code will not repeat a character and there are 11 distinct characters.

So, the total number of codes that can be randomly assigned is given by,

^{11}{P}_{5}

= \frac {11!}{6!}

= 11 \times 10 \times 9 \times 8 \times 7

= 55440

5 0
3 years ago
The mathematics department at a community college collected data for the number of students enrolled in 40 math classes over the
Colt1911 [192]

Answer:

D.

Step-by-step explanation:

6 0
3 years ago
What is the product?
Lerok [7]
You just have to multiply straight across. Multiply the numerators for the new numerator, and the denominators for the new denominator.
5*3=15
4*8=32
15/32 is the answer (b).
5 0
3 years ago
Read 2 more answers
Add the following using the common denominator method. Show all of your work. <br><br> 2/3 + 2/9
Alekssandra [29.7K]

Answer:

8/9

Step-by-step explanation:

First we need to get both of the fractions to the same denominator.

1. 2/3 + 2/9 = 6/9 + 2/9

Next, we simply just add the fractions.

2. 6/9 + 2/9 = 8/9

8 0
3 years ago
1.the graph of y = x² is moved five units upward
KonstantinChe [14]

Answer:

I guess that we want to find the equation for each case.

First, let's define the translations:

Horizontal translation.

For a function f(x), an horizontal translation of N units is written as:

g(x) = f(x + N)

if N > 0, the translation is to the left

if N < 0, the translation is to the right.

Vertical translation:

For a function f(x), a vertical translation of N units is written as:

g(x) = f(x) + N

if N > 0, the translation is upwards

if N < 0, the translation is downwards.

Now that we know these, we can find the equations for each case:

1. the graph of y = x² is moved five units upward

the graph is given by a vertical translation of 5 units upward.

y = x^2 + 5

2 the graph of y = 5x² is moved six units to the left

this is:

y = 5*(x + 6)^2

3: the graph of y = -2x² is moved seven units downward

this is:

y = -2x^2 - 7

4: the graph of y = -x² is moved two units to the left and four units downward

now we have two translations, first 4 units to the left and then 4 units downwards, this gives:

y = -(x + 4)^2 - 4

5: the graph of y = -3x² is moved two units to the right

Remember that to move the graph to the right, we need to have N negative, then:

y = -3(x - 2)^2

8 0
2 years ago
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