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labwork [276]
2 years ago
14

Find the product. -2x(x2 - 3) -2 x3 - 6 x -2 x2 6 x 6 x3 -2 x3 6 x.

Mathematics
1 answer:
belka [17]2 years ago
6 0

Product of two polynomials can be done by distribution of multiplication over addition. The product of  -2x(x^2 - 3) is -2x^3 + 6x

<h3>What is distributive property of multiplication over addition?</h3>

Suppose a, b and c are three numbers. Then we have:

a(b + c) = a\times b + a\times c

(a(b+c) means a multiplied to (b+c). The sign of multiplication is usually hidden when using symbols and both quantities which are in multiplication are written together without space)

The product result of the given expression is

-2x(x^2 - 3) = -2x^{1 + 2} + 6x = -2x^3 + 6x

It is because when bases are same and there is multiplication, then powers add up, so we have: a^b \times a^c = a^{b+c}

Thus,

The product of  -2x(x^2 - 3) is -2x^3 + 6x

Learn more about product of polynomials here:

brainly.com/question/9106484

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Answer:

(B) The correct interpretation of this interval is that 90% of the students in the population should have their scores improve by between 72.3 and 91.4 points.

Step-by-step explanation:

Confidence interval is the range the true values fall in under a given <em>confidence level</em>.

Confidence level states the probability that a random chosen sample performs the surveyed characteristic in the range of confidence interval. Thus,

90% confidence interval means that there is 90% probability that the statistic (in this case SAT score improvement) of a member of the population falls in the confidence interval.

7 0
3 years ago
An item sells for $30 and is on sale for 15% off and the sales tax is 8.2%. What is the final cost to the nearest cent? (Calcula
mestny [16]

Answer:

$27.59

Step-by-step explanation:

You multiply 30 dollars by 0.85 (1-0.15, with the 0.15 being for the 15 percent off). Which gets you to $25.50, and you then multiply it by 1.082 (the 1.082 being the tax, and the .082 part equating to the 8.2% tax percentage).

8 0
3 years ago
If f(x) = x ² +1 and g(x) =3x+ 1,find [f(4)] ²
guajiro [1.7K]

Answer:

289

Step-by-step explanation:

We don't need g at all for this.

We will need to know f(4) before continuing...

f(4) can be found by replacing x in f(x)=x^2+1 with 4:

f(4)=4^2+1

f(4)=16+1

f(4)=17

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

Now let's find [f(4)]^2:

[f(4)]^2

[17]^2

17(17)

289

3 0
3 years ago
Read 2 more answers
Number 2 says<br> Write the given equation in exponential form.<br><br><br> Log8 1/512=-3
MA_775_DIABLO [31]

In exponential form it is given as, 8⁻³ = $\frac{1}{512}

<u>Step-by-step explanation:</u>

We have to write the given equation in the exponential form, that is in the form of base to the power value.

Given:

log₈ ($\frac{1}{512} ) = -3

Here the base is 8.

In the exponential form, it is written as,

base to the power 3 = 512

Here the reciprocal of 512 is given, so,

base to the power -3 =   $\frac{1}{512}

So the exponential form is given as, 8⁻³ = $\frac{1}{512}

7 0
3 years ago
Which figures are polygons?<br> MORE THAN ONE CORRECT ANSWER<br><br> please explain
Dahasolnce [82]

Answer:

all of them that have more than 4 sides

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2 years ago
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