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andriy [413]
3 years ago
8

What’s the inverse equation? And how you solved it step by step please!

Mathematics
1 answer:
Korvikt [17]3 years ago
7 0

Answer:

The inverse is (x^2-5)/2

Step-by-step explanation:

y =sqrt(2x+5)

Exchange x and y

x = sqrt(2y+5)

Solve for y

Square each side

x^2 = (sqrt(2y+5))^2

x^2 = 2y+5

Subtract 5 from each side

x^2 -5 = 2y-5+5

x^2 -5 = 2y

Divide each side by 2

(x^2-5)/2 = 2y/2

(x^2-5)/2 = y

The inverse is (x^2-5)/2

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PLEASE HELP!!!
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An approximate number, that can be calculated mentally, is by using the rule of 72:  Divide 72 by the interest in % to give the number of years needed to double the money.
In this case, the approximate number of years
n= 72/4=18 years (approximately)

Precise value by compound interest formula:
2P=P*(1.04)^n
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1.04^n=2
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4 years ago
A fair coin is tossed four times. What is the probability that the number of heads appearing on the first two tosses is equal to
alekssr [168]

Answer: 3/8

Step-by-step explanation:

Since it is a fair coin, then generally, P(Head) = P(Tail) = ½

And since we've been asked to find the probability that the number of heads in the first two tosses be equal to the number of heads in the second two tosses, tossing a fair coin four times, the possible outcomes of having equal number of heads in first two tosses and second two tosses becomes:

[HHHH] or [HTHT] or [THTH] or [TTTT] or [HTTH] or [THHT]

=[½*½×½*½] + [½*½×½*½] + [½*½×½*½] + [½*½×½*½] + [½*½×½*½] + [½*½×½*½]

=1/16 * 6

=6/16

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8 0
3 years ago
the autopilot feature on a ship is designed to maintain a set speed if the ship's are actual speed never varies by more than fiv
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3 years ago
The graph of (6-4x)^2/2x^2-5x+12 has a horizontal asymptote at y =
vova2212 [387]

Answer:

y = 8

Step-by-step explanation:

The given rational function is

y =  \frac{ {(6 - x)}^{2} }{ {2x}^{2} - 5x + 12 }

Let us expand the numerator to get;

y =  \frac{(6 - 4x)(6 - 4x)}{2 {x}^{2} - 5x + 12 }

y =  \frac{36 - 48x + 16 {x}^{2} }{2 {x}^{2} - 5x + 12 }

We can observe that, the degree of the numerator is the same as the degree of the denominator.

Therefore the horizontal asymptote is the ratio of the coefficient of the leading terms:

y =  \frac{16}{2}

The horizontal asymptote is

y = 8

3 0
4 years ago
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