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jek_recluse [69]
3 years ago
10

Hiking The scatter plot shows a hiker's elevation above sea level during a hike

Mathematics
1 answer:
san4es73 [151]3 years ago
6 0
The answer is 2,251 if it says to round to the nearest whole number
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I need some help on these 3 questions :)
wlad13 [49]

The factor of the polynomial, the area of the pool and the simplified expression are all algebraic expressions

<h3>How to simplify the expressions?</h3>

<u>Factor of the polynomial</u>

The polynomial is given as:

2x^3 + 6x^2 + 6x + 18

Factor out 2

2x^3 + 6x^2 + 6x + 18 = 2(x^3 + 3x^2 + 3x + 9)

Factorize

2x^3 + 6x^2 + 6x + 18 = 2(x^2(x + 3) + 3(x + 3))

Factor out x + 3

2x^3 + 6x^2 + 6x + 18 = 2(x^2 + 3)(x + 3)

Expand

2x^3 + 6x^2 + 6x + 18 = (2x^2 + 6)(x + 3)

Hence, 2x^2 + 6 is a factor of the polynomial 2x^3 + 6x^2 + 6x + 18

<u>The length of the pool</u>

The given parameters are:

Area = 2x^3 - 29x + 12

Width = x + 4

The length is calculated as:

Length = Area/Width

This gives

Length = 2x^2 - 29x + 12/x + 4

Factorize the numerator

Length = (2x^2 - 8x + 3)(x + 4)/x + 4

Cancel out x + 4

Length = 2x^2 - 8x + 3

Hence, the length of the pool is 2x^2 - 8x + 3

<u>Simplify the expression</u>

The expression is given as:

(3s^2 - 2s + 1) \div (s^2 - s + 2)

Evaluate the quotient

3 + (s - 5)/(s^2 - 5 + 2)

Hence, the simplified expression is 3 + (s - 5)/(s^2 - 5 + 2)

Read more about algebraic expressions at:

brainly.com/question/2164351

3 0
2 years ago
The steps to convert to a decimal are shown below:
iragen [17]

Answer:

The actual answer is 9.25

Step-by-step explanation:

The mistake is in Step 4, as <u>4 × 2 = 8</u>, not 6

8 0
2 years ago
The area of a rectangle is 27 m^2 , and the length of the rectangle is 3 m less than twice the width. Find the dimensions of the
vagabundo [1.1K]
Let L be the length of the rectangle and W be the width. In the problem it is given that L=2W-3. It is also given that the area LW=27. Substituting in the length in terms of width, we have W(2W-3)=27 \\ 2W^2-3W-27=0 \\ (2W-9)(W+3)=0. Using the zero product property, 2W-9=0 \text{ or } W+3=0. Solving these we get the width W=4.5 \text{ or } -3. However, it doesn't make sense for the width to be negative, so the width must be \boxed{4.5 \text{ m}}. From that we can tell the length L=2(4.5)-3=\boxed{6 \text{ m}}. 
3 0
3 years ago
Can someone tell me how to find my weighed grade. I have a 97% for homework which is 15% of my grade and 84% which is 35% of gra
dlinn [17]
I think your weighted grade is 50%
6 0
3 years ago
Read 2 more answers
Given ƒ(x) = −10x + 45, find x when ƒ(x) = 15.
Temka [501]

Answer:

x = 3

Step-by-step explanation:

Given

f(x) = - 10x + 45 and f(x) = 15, then equating gives

- 10x + 45 = 15 ( subtract 45 from both sides )

- 10x = - 30 ( divide both sides by - 10 )

x = 3

5 0
3 years ago
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