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3 years ago

If x = 3+root8 find the value of :- 1/x

Mathematics

1 answer:

qaws [65]3 years ago

3 0

Answer:

Value is 3 - √8

Step-by-step explanation:

$x = 3 + \sqrt{8} \\ \\ \frac{1}{x} = \frac{1}{3 + \sqrt{8} } \\$

rationalise the denominator:

$= \frac{1}{3 + \sqrt{8} } . \frac{3 - \sqrt{8} }{3 - \sqrt{8} } \\ \\ = \frac{3 - \sqrt{8} }{ {3}^{2} - {( \sqrt{8}) }^{2} } \\ \\ = \frac{3 - \sqrt{8} }{9 - 8} \\ \\ = 3 - \sqrt{8}$

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Meghan has two less dimes as she does nickels and one more than double the amount of quarters as she does nickels for a total of

defon

Answer:

The number of nickel = 3

Number of dime = 1

Number of quarter = 7

Step-by-step explanation:

Let us assume the number of nickels Meghan has = m

So, the number of dimes she has = m -2

And the number of quarters she has = 1 + 2 m

Now, the total amount she has = $2.00

1 nickel = $0.05 ⇒ m nickel = m ($0.05) = 0.05 m

1 dime = $0.10 ⇒ (m -2) dime = m-2 ($0.10) = 0.10 (m-2)

1 quarter = $0.25 ⇒ (1+ 2m) quarter = (1+ 2m) ($0.25) = 0.25 (1+2m)

So, according to the question:

Amount of (nickel + dime + quarter) = $2.00

⇒ 0.05 m + 0.10 (m-2) + 0.25 (1+2m) = 2

or, 0.05 m + 0.10 m - 0.20 + 0.25 + 0.5 m = 2

or, 0.65 m = 2 - 0.05

or, m = 1.95/0.65 = 3

or, m = 3

Hence, the number of nickel = 3

Number of dime = m -2 = 3-2 = 1

and Number of quarter = 2m + 1 = 7

8 0

4 years ago

I will give you brainliest!

Romashka-Z-Leto [24]

Answer:

160

Step-by-step explanation:

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4 years ago

Rewrite the expression 7x^2 + 7x - 42 as THREE factors where one of the factors is an integer value.

kondaur [170]

<h3>Answer: 7(x+3)(x-2)</h3>

========================================

Explanation:

First factor out the GCF 7

7x^2 + 7x - 42

7*x^2 + 7*x + 7*(-6)

7(x^2 + x - 6)

Now focus on factoring x^2+x-6

We need to find two numbers that multiply to -6 and add to 1. Those values are 3 and -2. That means x^2+x-6 factors to (x+3)(x-2).

The 7(x^2 + x - 6) then turns into 7(x+3)(x-2)

The factor out front, the "7", is the integer factor. The other factors (x+3) and (x-2) are binomial factors.

6 0

3 years ago

Solve for : 12 = 15 (z - 1/5)

Ronch [10]

The answer to this problem “12 = 15(z-1/5) is : Z = 1

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3 years ago

What is the slope of the line that passes through the points listed in the table?

shusha [124]

Answer:

Step-by-step explanation:

The slope is given by

m = ( y2-y1)/(x2-x1)

= (7-3)/(10-8)

= 4/2

= 2

4 0

3 years ago

If x = 3+root8 find the value of :- 1/x​

If x = 3+root8 find the value of :- 1/x