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2 years ago

Just need the blank answers

Mathematics

1 answer:

Kamila [148]2 years ago

8 0

Answer:

(x+1)(x-1) and x = -1, 1, 2

Step-by-step explanation:

x^2 - 1 factors to (x+1)(x-1)

x+1 = 0; x = -1

x-1 = 0; x = 1

x-2 = 0; x = 2

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AfilCa [17]

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Step-by-step explanation:

P=5/25=1/5=0.20

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2 years ago

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2 lengths of a rectangle are shown. (N-5) (n+5) what is the area of the rectangle?

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3 years ago

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What is the ratio volume of cylinder a to the volume of cylinder b. A height 3 diameter 3 and B is height 4 diameter 2

DerKrebs [107]

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27/16

Step-by-step explanation:

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2 years ago

Evaluate the function f(x) at the given numbers (correct to six decimal places).

3241004551 [841]

Answer:

The function $f(x) = \frac{x^{2}-4\cdot x}{x^{2}-16}$ has the following set of solutions:

$f(4.1) = 0.506173$ , $f(4.05) = 0.503106$ , $f(4.01) = 0.500624$ , $f(4.001) = 0.500062$ , $f(4.0001) = 0.500006$ , $f(4.0001) = 0.500006$

$f(3.9) = 0.493671$ , $f(3.95) = 0.496855$ , $f(3.99) = 0.499374$ , $f(3.999) = 0.499937$ , $f(3.9999) = 0.499994$

Step-by-step explanation:

Let be $f(x) = \frac{x^{2}-4\cdot x}{x^{2}-16}$ , we proceed to simplify the expression by Algebraic means:

1) $\frac{x^{2}-4\cdot x}{x^{2}-16}$ Given

2) $\frac{x\cdot (x-4)}{(x-4)\cdot (x+4)}$ Associative, commutative and distributive properties/ $a^{2}-b^{2} = (a+b)\cdot (a - b)$

3) $\frac{x}{x + 4}$ Commutative, associative and modulative properties/Existence of multiplicative inverse/Result

Now we evaluate the function for each value:

$x = 4.1$

$f(4.1) = \frac{4.1}{4.1+4}$

$f(4.1) = 0.506173$

$x = 4.05$

$f(4.05) = \frac{4.05}{4.05 + 4}$

$f(4.05) = 0.503106$

$x = 4.01$

$f(4.01) = \frac{4.01}{4.01 + 4}$

$f(4.01) = 0.500624$

$x = 4.001$

$f(4.001) = \frac{4.001}{4.001+4}$

$f(4.001) = 0.500062$

$x = 4.0001$

$f(4.0001) = \frac{4.0001}{4.0001 + 4}$

$f(4.0001) = 0.500006$

$x = 3.9$

$f(3.9) = \frac{3.9}{3.9+4}$

$f(3.9) = 0.493671$

$x = 3.95$

$f(3.95) = \frac{3.95}{3.95+4}$

$f(3.95) = 0.496855$

$x = 3.99$

$f(3.99) = \frac{3.99}{3.99+4}$

$f(3.99) = 0.499374$

$x = 3.999$

$f(3.999) = \frac{3.999}{3.999 + 4}$

$f(3.999) = 0.499937$

$x = 3.9999$

$f(3.9999) = \frac{3.9999}{3.9999 + 4}$

$f(3.9999) = 0.499994$

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2 years ago

What is the 45th digit in the decimal equivalent of 1/7

Luden [163]

1/7<span> = 0.</span><span>142857 since this decimal is repeating divide 45/6(number of repeating numbers) and it gives you 7.5 so you know that it repeats this sequence 7 times plus an extra 3 numbers so the 45th decimal is 2</span>

3 0

2 years ago