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elena-14-01-66 [18.8K]
3 years ago
5

PLEASE HELP ASAAP 25 PTS + BRAINLIEST TO RIGHT/BEST ANSWER

Mathematics
1 answer:
Nutka1998 [239]3 years ago
5 0

Let i = sqrt(-1) which is the conventional notation to set up an imaginary number

The idea is to break up the radicand, aka stuff under the square root, to simplify

sqrt(-8) = sqrt(-1*4*2)

sqrt(-8) = sqrt(-1)*sqrt(4)*sqrt(2)

sqrt(-8) = i*2*sqrt(2)

sqrt(-8) = 2i*sqrt(2)

<h3>Answer is choice A</h3>
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What is the common ratio of the geometic sequence whose second and forth terms are 6 and 54, respectively?
Luda [366]

Answer:

C

Step-by-step explanation:

The n th term formula of a geometric sequence is

a_{n} = a r^{n-1}

where a is the first term and r the common ratio

Using the second and fourth term, then

ar = 6 → (1)

ar³ = 54 → (2)

Divide (2) by (1)

\frac{ar^3}{ar} = \frac{54}{6} = 9

r² = 9 ⇒ r = \sqrt{9} = 3 → C

7 0
2 years ago
Read 2 more answers
Please answer all for 50 points and show the answers thank you
melamori03 [73]
What do you need help with? it helps us to know the question!
6 0
3 years ago
Name the property of real numbers illustrated by the equation -3(x + 4) = -3x -12
vivado [14]

Answer:

Distributive Property

Step-by-step explanation:

They distributed the -3 to x and 4. In this case, to distribute the -3, you multiply it to each term.

-3 × x = -3x.

-3 × 4 = -12.

-3x - 12

5 0
3 years ago
The government taxes a manufacturer $0.20 for a bottle of soda. The manufacturer raises the wholesale price an additional $0.60
alukav5142 [94]

Answer: $0.95

Step-by-step explanation:

Hi, to answer this question we simply have to add all amounts raised by the government, the manufacturer, and the retailer.

Mathematically speaking:

$0.20+$0.60+$0.15 = $0.95

So, a consumer pays $0.95 more per bottle of soda.

Feel free to ask for more if needed or if you did not understand something.

8 0
3 years ago
Suppose the graph of a cubic polynomial function has the same zeroes and passes through the coordinate (0, –5).
Alexeev081 [22]
Zeros are the x values which make the function equal to zero. Set it up as you would for a binomial with a constant multiplier "k" to account for the y-intercept (0, -5) given.

f(x) = k(x-2)(x-3)(x-5)

Use the y-intercept (0,-5) to solve for k.

-5 = k(0-2)(0-3)(0-5)
-5 = -30k
-5/-30 = k
1/6 = k


The cubic polynomial function is then ..

f(x) = (1/6)(x-2)(x-3)(x-5)
 

Linear factors are the linear (line) expressions you can factor out of the polynomial. They are (x-2), (x-3) and (x-5).


5 0
3 years ago
Read 2 more answers
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