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trapecia [35]
2 years ago
8

4. (i) Solve the equation 2x2 – 7x + 4 = 0, giving

Mathematics
1 answer:
Colt1911 [192]2 years ago
6 0

????????????????????????????Step-by-step explanation:

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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
1 year ago
Which equation represents the same line as the points in the table
vodomira [7]

Answer:

y=\frac{-3}{4} x+2

Step-by-step explanation:

First, we can find the slope using the slope equation and two of the points.

Slope equation:

m=\frac{y2-y1}{x2-x1}

I'm going to use the first two points just so I can avoid the fraction... Substitute the x and y values into the equation.

m=\frac{2-5}{0--4}

Simplify:

m=\frac{-3}{4}

Now that we have the slope, all we need is the y-intercept. Luckily, it gives it to us in the table. The x value of y-intercepts will always be 0. Looking at the table, we see that the point where x=0 is (0,2). Thus, the y-intercept is 2. Your final equation is

y=\frac{-3}{4} x+2

7 0
3 years ago
Read 2 more answers
The domain of a function is always equal to which one of the following options?
Ivanshal [37]

Answer:

all possible input values to the function

Step-by-step explanation:

The domain is the input to the function and the range is the output of the function

3 0
2 years ago
Read 2 more answers
What are the solutions to the equation
skelet666 [1.2K]

Step-by-step explanation:

4) y²-1=48

y²=49

y=±7

option C -7 and 7

5) x²=289

x=±17

-17 and 17

8 0
3 years ago
Read 2 more answers
Anita collects shells and stones in a ratio of 1:2.
omeli [17]

Answer:

The answer is 16 stones

Step-by-step explanation:

It's 8:16 because

8/1 = 8

and

2 x 8 = 16

To check your answer to see if its correct :

1/2 = 2

16/2=8

Hope this helps!! ;)

8 0
2 years ago
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