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1 year ago

According to the Rational Root Theorem, which is a factor of the polynomial f(x) = 3x3 – 5x2 – 12x + 20?

Mathematics

2 answers:

Harlamova29_29 [7]1 year ago

8 0

3x^3 – 5x^2 – 12x + 20

= (3x^3 – 5x^2) – (12x - 20)

= x^2(3x - 5) - 4(3x - 5)

= (3x - 5)(x^2 - 4)

= (3x - 5)(x + 2)(x - 2)

Factors: (3x - 5), (x + 2), and (x - 2)

Answer:

D.) 3x – 5

prisoha [69]1 year ago

6 0

Answer:

D.) 3x – 5

Step-by-step explanation:

I got 100% on the test

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Which describes how to graph h (x) = negative RootIndex StartRoot x + 8 EndRoot by transforming the parent function?

SashulF [63]

Answer:

Reflect the parent function over the x-axis, and translate it 8 units to the left.

Step-by-step explanation:

The given function is

$y = - \sqrt{x + 8}$

The parent function is

$y = \sqrt{x}$

Since there is a negative multiply the transformed function, there is a reflection in the x-axis.

Since 8 is adding, within the square root, there is a horizontal translation of 8 units to the left.

Therefore to graph the given function, reflect the parent function over the x-axis, and translate it 8 units to the left.

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1 year ago

Use the values on the number line to find the sampling error.

pantera1 [17]

Part 1:

Given a number line with the point $\bar{x}=3.8$ and the point $\mu=4.27$

The sampling error is given by:

$\bar{x}-\mu=3.8-4.27=-0.47$

Part 2:

Given a number line with the point $\bar{x}=26.43$ and the point $\mu=24.67$

The sampling error is given by:

$\bar{x}-\mu=26.43-24.67=1.76$

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1 year ago

What is a simplified form of -(14x)^0y^-7z

GenaCL600 [577]

Anything to the power of 0 is one.

Therefore we have:

(1)(y^-7z)

Which simplifies to:

y^-7z

3 0

2 years ago

Read 2 more answers

one side of a right angled triangle is 10cm the other two are both of length x calculate x to 2 decimal place

shepuryov [24]

Answer: $x = 7.07$

Step-by-step explanation:

Using Pythagoras theorem , since it is a right angled triangle ,

side 1 = 10cm

side 2 = x cm

side 3 = x cm

Pythagoras theorem states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides. That is

$10^{2}=x^{2} +x^{2}$

100 = $2x^{2}$

divide through by 2 , we have

50 = $x^{2}$

find the square root of both sides

$x = \sqrt{50}$

$x = 7.07$

8 0

2 years ago

On a website selling books, three paperback books and five hardcover books cost $80.10, and seven paperback books and four hardc

Lisa [10]

To answer this kind of question, you need to insert the first equation into second equation or vice versa. The equation from the question should be:

1. 3 paperback books + 5 hardcover book = $80.10
2. 7 paperback books + 4 hardcover book= $100.65

It would be easier to convert the 1st equation into
5 hardcover book = $80.10- 3 paperback books
hardcover book= $16.02- 0.6 paperback books

Then insert it to 2nd equation:
7 paperback books + 4 ($16.02- 0.6 paperback books)= $100.65
7 paperback books + $64.08- 2.4 paperback books= $100.65
4.6 paperback books = $100.65- $64.08= $36.57
paperback book= $7.95

Insert paperback book price to the first equation to find the hardcover book price
3 paperback books + 5 hardcover book = $80.10
3 ($7.95)+ 5 hardcover book = $80.10
5 hardcover book = $80.10 - $23.85= $56.25
hardcover book = $11.25

Then one paperback and one hardcoverbook= $7.95 + $11.25= $19.20

3 0

1 year ago