All categories

2 years ago

Solve: 24x^3 -26x^ 2 +9x -1=0.

Mathematics

1 answer:

hichkok12 [17]2 years ago

3 0

Answer:

x = 1/2 , x = 1/4 , x = 1/3

Step-by-step explanation:

Factor the following equation --> 24x^3 — 26x^2 + 9x — 1 = 0

You will get ----> (2x - 1) (4x - 1) (3x - 1) = 0

Now make all the above expressions = 0 and solve.

2x - 1 = 0 4x - 1 = 0 3x - 1 = 0

+1 +1 +1 +1 +1 +1

------------------ ------------------ ------------------

2x = 1 4x = 1 3x = 1

/2 /2 /4 /4 /3 /3

------------------- ------------------- ----------------------

x = 1/2 x = 1/4 x = 1/3

You might be interested in

2 times -1/4 times 3

NemiM [27]

Answer:

-1.5

Step-by-step explanation:

2 times -1/4 is -0.5. -0.5 times 3 is -1.5

5 0

2 years ago

Help pls!!

nexus9112 [7]

Answer: Choice D

Explanation:

The range is the set of all possible y outputs of a function. The highest y can go is y = 1, which occurs at the vertex. We can have y = 1 or y be smaller than this. Therefore, the range is $y \le 1$

7 0

1 year ago

A coin is tossed 5 times. Find the probability that all are heads. Find the probability that at most 2 are heads.

fenix001 [56]

Answer:

1/32

15/32

Step-by-step explanation:

For a fair sided coin,

Probability of heads, P(H) = 1/2

Probability of tails P(T) = 1/2

For a coin tossed 5 times,

P( All heads)

= P(HHHHH),

= P (H) x P(H) x P(H) x P(H) x P(H)

= (1/2) x (1/2) x (1/2) x (1/2) x (1/2)

= 1/32 (Ans)

For part B, it is easier to just list the possible outcomes for

"at most 2 heads" aka "could be 1 head" or "could be 2 heads"

"One Head" Outcomes:

P(HTTTT), P(THTTT) P(TTHTT), P(TTTHT), P(TTTTH)

"2 Heads" Outcomes:

P(HHTTT), P(HTHTT), P(HTTHT), P(HTTTH), P(THHTT), P(THTHT), P(THTTH), P(TTHHT), P(TTHTH), P(TTTHH)

If we count all the possible outcomes, we get 15 possible outcomes representing "at most 2 heads)

we know that each outcome has a probability of 1/32

hence 15 outcomes for "at most 2 heads" have a probability of

(1/32) x 15 = 15/32

8 0

3 years ago

Read 2 more answers

Jessica's penny bank is 1/3 full. After she adds 80 pennies, it is 1/2 full. How many pennies can Jessica's bank hold?

Ilia_Sergeevich [38]

3x = B
(x + 80 = 1/2B) * -3
-3x-240 = -3/2B

-240 = -1/2B
B=480 pennies

6 0

3 years ago

What is the square root of m^6?

Nastasia [14]

Answer:
If m is nonnegative (ie not allowed to be negative), then the answer is m^3
If m is allowed to be negative, then the answer is either |m^3| or |m|^3

==============================

Explanation:

There are two ways to get this answer. The quickest is to simply divide the exponent 6 by 2 to get 6/2 = 3. This value of 3 is the final exponent over the base m. Why do we divide by 2? Because the square root is the same as having an exponent of 1/2 = 0.5, so
sqrt(m^6) = (m^6)^(1/2) = m^(6*1/2) = m^(6/2) = m^3
This assumes that m is nonnegative.

---------------------------

A slightly longer method is to break up the square root into factors of m^2 each and then apply the rule that sqrt(x^2) = x, where x is nonnegative

sqrt(m^6) = sqrt(m^2*m^2*m^2)
sqrt(m^6) = sqrt(m^2)*sqrt(m^2)*sqrt(m^2)
sqrt(m^6) = m*m*m
sqrt(m^6) = m^3
where m is nonnegative

------------------------------

If we allow m to be negative, then the final result would be either |m^3| or |m|^3.

The reason for the absolute value is to ensure that the expression m^3 is nonnegative. Keep in mind that m^6 is always nonnegative, so sqrt(m^6) is also always nonnegative. In order for sqrt(m^6) = m^3 to be true, the right side must be nonnegative.

Example: Let's say m = -2
m^6 = (-2)^6 = 64
sqrt(m^6) = sqrt(64) = 8
m^3 = (-2)^3 = -8
Without the absolute value, sqrt(m^6) = m^3 is false when m = -2

4 0

3 years ago

Solve: 24x^3 -26x^ 2 +9x -1=0.​

Solve: 24x^3 -26x^ 2 +9x -1=0.