MATHEMATICS HIGH SCHOOL

Simplify
2x2(4x3 - 3x2 + 6x).

Answers

Answer 1

Answer:

Answer:

The simplified form of the provided expression is $8x^(5) - 6x^(4) + 12x^(3)$

Step-by-step explanation:

Consider the provided expression.

$2x^2(4x^3 - 3x^2 + 6x)$

Use the distributive property:

$a(b+c)=ab+ac$

By using the above property we can simplify it as shown:

$2x^2(4x^3 - 3x^2 + 6x)$

$8x^((2+3)) - 6x^((2+2)) + 12x^((2+1))$

$8x^(5) - 6x^(4) + 12x^(3)$

Thus, the simplified form of the provided expression is $8x^(5) - 6x^(4) + 12x^(3)$

Answer 2

Answer: its hard to show you the steps just gotta payin attention to your teacher
anyway i tried my best to show you the steps
tbh if you needed explanation you should more points

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Evaluate b^2 c ^-1 for b = 8 and c = -4.

-16
1/16
16
256

Answers

Just plug in values:

(8)²·(-4)⁻¹ = 64 · 1/-4 = -16

So answer is -16.

What are the zeros of the function? what are their multiplicities? f(x)=x^4-4x^3+3x^2

Answers

f ( x ) = x² ( x² - 4 x + 3 ) =
= x² ( x² - 3 x - x + 3 ) =
= x² ( x ( x - 3 ) - ( x - 3 ) ) =
= x² ( x - 3 ) ( x - 1 ) = 0
x² = 0 ⇒ x = 0
x - 3 = 0 ⇒ x = 3
x - 1 = 0 ⇒ x = 1
The zeroes of the function are: x = 0, x = 1 and x = 3.
Answer:
B ) The number 0 is a zero of multiplicity 2; the numbers 1 and 3 are zeroes of the multiplicity 1.

If the probability of success during a single event of a geometric experiment is 0.16, what is the probability of success by the 8th event? Round your answer to the nearest tenth of a percent.

Answers

The probability of success by the 8th event is 75.21%.

Probability of success: 0.16
Probability of failure:
= 1 - P (Prob. of success)
= 1 - 0.16
= 0.84
Total probability of failure:
= 0.84 ^ 8 (# of event)
= 0.247875891

Probability of success on the 8th event:
= 1 - Probability of failure on previous events
= 1 - 0.247875891
= 0.7521 or 75.21%

To get either probability, deduct the given from 1 which serves as the 100% probability.

Hope this helps! :)

Answer:...

Step-by-step explanation:

In march, a customer spent $8.55 at an office-supply store for some 12-packs of pens. At that time, the store was selling packages of one dozen pens for $1.35. Any customer who bought more than 4 packages, received a discount of $0.30 on the price of each package in excess of 4 packages. In september, the same customer went back to the store to buy the same number of pens. By then, the price per 12-pack of pens had been raised to $1.50 each, with the same discount for more than 4 packages. How much more did the customer have to pay in September than in March?

Answers

We can start by making an equation from the information given on the month of March to find how many packs he bought.
$4(1.35)+x(1.05)=8.55$ This equation shows that for the first 4 packs he bought, he payed $1.35. Then, consequently, for each pack after that, he payed $0.30 less, and we don't know how many more he bought, so we set it up as shown. Finally, we set it all equal to $8.55 since that's how much he payed that month. We get that x=3, meaning that he bought a total of 7 packs of pens that month.
Knowing this, we can now make an equation for the month of September.
$4(1.50)+3(1.20)=x$ This time, we know the entire left side, that he paid $1.50 for the first 4 packs and $0.30 less for the last 3. We get x=$9.60
Knowing this, we can subtract the amount he paid in September by the amount he paid in March to get the answer... $9.60-$8.55=$1.05

I hope this helped!

Whats four divided by one third??