What fraction of two pounds is fifty pence?

Mathematics

1 answer:

EastWind [94]2 years ago

5 0

1/4

There are 100 pence in a pound, so 2 pounds is 200 pence. 50 is 1/4 of 200.

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How many extraneous solutions does the equation below have? StartFraction 9 Over n squared 1 EndFraction = StartFraction n 3 Ove

BigorU [14]

The equation has one extraneous solution which is n ≈ 2.38450287.

Given that,

The equation;

$\dfrac{9}{n^2+1} =\dfrac{n+3}{4}$

We have to find,

How many extraneous solutions does the equation?

According to the question,

An extraneous solution is a solution value of the variable in the equations, that is found by solving the given equation algebraically but it is not a solution of the given equation.

To solve the equation cross multiplication process is applied following all the steps given below.

$\rm \dfrac{9}{n^2+1} =\dfrac{n+3}{4}\\\\9 (4) = (n+3) (n^2+1)\\\\36 = n(n^2+1) + 3 (n^2+1)\\\\36 = n^3+ n + 3n^2+3\\\\n^3+ n + 3n^2+3 - 36=0\\\\n^3+ 3n^2+n -33=0\\$

The roots (zeros) are the x values where the graph intersects the x-axis. To find the roots (zeros), replace y

with 0 and solve for x. The graph of the equation is attached.

n ≈ 2.38450287

Hence, The equation has one extraneous solution which is n ≈ 2.38450287

For more information refer to the link.

brainly.com/question/15070282

5 0

2 years ago

The millers are going to put a pool in their backyard this summer. The pool will have a depth of 5 feet, and the dimensions show

erica [24]

Answer:

D : 510 units

Step-by-step explanation:

NOTE:

Something to consider when solving problems like this is to break the large shape down into smaller, more managable shapes. So for this problem, you can break down this irregular shape into two rectangles. This will make solving problems similar to this easier in the future :)

WORK:

I broke down this shape into two rectangles with the following dimensions:

- 12 meters by 5 meters

- 3 meters by 14 meters

You also know that the depth has to be 5 feet (the problem itself did not account for differences in feet and meters, as when I converted the 5 feet to meters and solved that way, none of the answers were correct)

Using this information, you can now solve for the volume of each of the rectangles

12*5*5 = 300 units

3*14*5 = 210 units

Then, you simply add the two volumes together to find the total volume needed to fill the pool which equals

510 units

3 0

2 years ago

The relative extrema of f(×)=x³-x+1

NISA [10]

The answer is in the picture
Sorry I can’t copy and pasted it here