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3 years ago

8

Round 199.532 to the nearest tenth

2 answers:

kicyunya [14]3 years ago

6 0

Answer:

199.5

Step-by-step explanation:

3 is not greater than 5

ivolga24 [154]3 years ago

3 0

Answer:

199.5

Step-by-step explanation:

The tenth place is the first number to the right of the decimal, in this case, it is 5. In order to know whether or not to raise it to 6 or keep it as 5, we have to look at the hundredth's value. If the number is 5 or higher, we change 5 to 6. If the number is 4 or lower, we keep the 5. In this case, the number is 3, which is 4 or lower. We keep the 5 as it is and get rid off all the numbers behind it. Resulting in:

199.5

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If f(x)=x^3-12x^2+35x-24f(x)=x 3 −12x 2 +35x−24 and f(8)=0f(8)=0, then find all of the zeros of f(x)f(x) algebraically.

Neporo4naja [7]

Answer:

The zeros of f(x) are: (x - 1), (x - 3) and (x - 8)

<em></em>

Step-by-step explanation:

Given

$f(x)=x^3-12x^2+35x-24$

$f(8) = 0$

Required

Find all zeros of the f(x)

If $f(8) = 0$ then:

$x = 8$

And $x - 8$ is a factor

Divide f(x) by x - 8

$\frac{f(x)}{x - 8} = \frac{x^3-12x^2+35x-24}{x - 8}$

Expand the numerator

$\frac{f(x)}{x - 8} = \frac{x^3 - 4x^2 -8x^2 + 3x + 32x - 24}{x - 8}$

Rewrite as:

$\frac{f(x)}{x - 8} = \frac{x^3 - 4x^2 + 3x - 8x^2 +32x - 24}{x - 8}$

Factorize

$\frac{f(x)}{x - 8} = \frac{(x^2 - 4x + 3)(x - 8)}{x - 8}$

Expand

$\frac{f(x)}{x - 8} = \frac{(x^2 -x - 3x + 3)(x - 8)}{x - 8}$

Factorize

$\frac{f(x)}{x - 8} = \frac{(x - 1)(x - 3)(x - 8)}{x - 8}$

$\frac{f(x)}{x - 8} = (x - 1)(x - 3)$

Multiply both sides by x - 8

$f(x) = (x - 1)(x - 3)(x - 8)$

<em>Hence, the zeros of f(x) are: (x - 1), (x - 3) and (x - 8)</em>

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2 years ago

True or False? The segments shown below could form a triangle?

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Answer:

True

Step-by-step explanation:

First start at B point than go to C point than go to A point

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3 years ago

Read 2 more answers

The parallel line of the AC line intersects the sides AB and BC of the triangle ABC, respectively, at the points M and N, AM: MB

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Answer:

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Step-by-step explanation:

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3 years ago

2. Which algebraic expression represents the following phrase?

oksian1 [2.3K]

The algebraic expression which represents the square of the difference of s and 6 is (s - 6)²

Step-by-step explanation:

Let us represent some words by mathematics expressions

Square a number ⇒ x²
Square the sum of two numbers ⇒ (x + y)²
Sum of the squares of two numbers ⇒ x² + y²
Square of difference of two numbers (x - y)²
The difference of square two numbers x² - y²

∵ The expression is the square of the difference of s and 6

- That means find the difference between s and 6 at first,

then square the difference

∵ The difference of s and 6 = s - 6

- Square this difference means but the difference in a bracket

and then square the bracket

∴ The square of the difference = (s - 6)²

The algebraic expression which represents the square of the difference of s and 6 is (s - 6)²

Learn more:

You can learn more about the algebraic expressions in brainly.com/question/10771256

#LearnwithBrainly

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