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3 years ago

Solve the equation (x-3)^3-( x - 1 )^3 + 7x^2 = 7(3x - 4 )

Mathematics

1 answer:

Yakvenalex [24]3 years ago

8 0

Answer:

x= -1 or x = -2

Step-by-step explanation:

Your equation:

(x−3)^3−(x−1)^3+7x^2=7(3x−4)

Step 1: Simplify both sides of the equation.

x^2+24x−26=21x−28

Step 2: Subtract 21x-28 from both sides.

x^2+24x−26−(21x−28)=21x−28−(21x−28)

x^2+3x+2=0

Step 3: Factor left side of equation.

(x+1)(x+2)=0

Step 4: Set factors equal to zero.

x+1=0 or x+2=0

which equals to x=−1 or x=−2

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3 years ago

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4 years ago

A machine produces small cans that are used for baked beans. The probabil- ity that the can is in perfect shape is 0.9. The prob

Elis [28]

Answer:

0.9783 = 97.83% probability that a can that gets shipped for use will be of perfect shape

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Shipped for use

Event B: Perfect shape

Probability of being shipped for use:

Perfect shape(0.9 probability) or unnoticeable dent(0.02 probability). So

$P(A) = 0.9 + 0.02 = 0.92$

Being shipped for use and being in perfect shape.

0.9 probability, so $P(A \cap B) = 0.9$

What is the probability that a can that gets shipped for use will be of perfect shape?

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.9}{0.92} = 0.9783$

0.9783 = 97.83% probability that a can that gets shipped for use will be of perfect shape

8 0

3 years ago

I’m stuck, HELP<br><br> 3(6) + 4(2)^3 - 5

Slav-nsk [51]

Answer:

Step-by-step explanation:

Lets split the problem then add/subtract at the end

3 x 6 = 18

Due to Order of operations we do 2^3 first then multipy by 4

so 2^3 = 8 Then we do 8 x 4 = 32

Now we add/subtract

18 + 32 - 5 = 45

45 is the answer

4 0

3 years ago

Read 2 more answers

Finally, suppose you decide not to finance (get a loan for) the car and to

Alexxandr [17]

<u>Supposing a cost of $30,000</u>, and using proportions, it is found that you would have to save $1,083.30 each month.

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

We suppose a cost of $30,000.

You already have $4,000 saved.
30 - 4 = 26, thus, you would need to save $26,000 in 2 years = 24 months.
How much per month?

We can solve it using proportions, by the following rule of three:

1 month - $x

24 months - $26,000

Applying cross multiplication:

$24x = 26000$

$x = \frac{26000}{24}$

$x = 1083.3$

You would have to save $1,083.30 each month.

A similar problem is given at brainly.com/question/24112433

7 0

3 years ago