What are the solutions of the equation x6 + 6x3 + 5 = 0? Use factoring to solve.

Answers

Answer 1

Answer: To get the solutions to the equation x^6 + 6x^3 + 5 = 0 using factoring. Expanding x^6 + 6x^3 + 5 = 0 gives x^6 + x^3 + 5x^3 + 5 = 0, Factoring x^6 + x^3 + 5x^3 + 5 = 0 gives x^3(x^3 + 1) + 5(x^3 + 1) = 0, Grouping x^3(x^3 + 1) + 5(x^3 + 1) = 0 gives (x^3 + 5)(x^3 + 1) = 0 Solving (x^3 + 5)(x^3 + 1) = 0 gives x^3 + 5 = 0 or x^3 + 1 = 0 x^3 = -5 or x^3 = -1 x = cube root of -5 or x = cube root of -1 x = -1.71 or x = -1

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Is 5.1 x 10^-8 in scientific notation?

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Starting from a 130 feet away, a person on a bicycle rides towards a checkpoint and then passes it. The rider is traveling at a constant rate of 25 feet per second. The distance between the bicycle and the checkpoint is given by the equation: d = |130 - 25t|. At what times is the bike 15 feet away from the checkpoint? a. 4.6 sec and 9.2 sec

b. 2.9 sec and 5.8 sec

c. 4.6 sec and 5.8 sec

d. 2.9 sec and 3.3 sec

Answers

for this question you can say d = 15 feet so we need the t then you can say :
15 = l 130 - 25t l ⇒ because of the absolute value you should say :
1) 130 - 25t = 15 ⇒ -25t = 15 - 130 ⇒ - 25t = -115 ⇒ t = 115/25 = 4.6 sec

2) 130 - 25t = - 15 ⇒ -25t = -15 - 130 ⇒ -25t = - 145 ⇒ t = 145/25 = 5.8 sec
so the answer is c :))
i hope this is helpful
have a nice day

Answer:

The answer is C - 4.6 sec and 5.8 sec

Step-by-step explanation:

Hope this helps ✿

What is the value of k?

Answers

Answer:

Step-by-step explanation:

recall that the inside angles of a triangle add up to 180°

and also that the angle 115° is the other part of a 180° total

180=115+y

180-115 =65

then the inside angle at Y is 65°

add the three inside (interior of the triangle) angles up

180= 65 + (4k+5) + (6k+10)

180 = 65 + 10k + 15

180 = 80 + 10k

100 = 10k

10 = k

see how I did that?

Of the following numbers ,which one is prime,32,42,29,15!

Answers

only 29,
32,42,15 have more than 2 factors.

Of the following numbers, which one is prime: 32, 42, 29, 15?A. 29

Sneakers cost $63, the sales tax rate is 7.5% what is the total cost if the sneakers to the nearest cent

Answers

$total\ cost=\ cost\ of\ sneakers+ 7.5\%*cost\ of\ sneakers\n\ntotal\ cost= 63+7.5\%*63=63+0.075*63=63+4.725=\n67.7\$\n\nTotal\ cost\ is\ 67.7\$.$

HELP ASAP!!!The markup on candy at the discount store is 45%. A bag of candy has a wholesale cost of $1.15. What will be the retail price for the candy?

A. $1.45
B. $1.60
C. $1.67
D. $1.78