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3 years ago

Find the zeroes of the following equation:

Mathematics

1 answer:

weqwewe [10]3 years ago

7 0

Answer: $\bold{x=\dfrac{1\pm \sqrt5}{2}}$

both zeros are irrational numbers

Step-by-step explanation:

Note: The question would have made more sense if if it was 2/x = x - 1 but I will answer it as written.

$\dfrac{1}{x}=x-1\qquad \text{Restriction: }x\neq 0\\\\\\\text{Cross multiply, simplify, and set equal to zero:}\\1=x(x-1)\\\\1=x^2-x\\\\0=x^2-x-1\\\\\\\text{This is not factorable so you will need to use Quadratic Formula:}\\\\x=\dfrac{-(-1)\pm \sqrt{(-1)^2-4(1)(-1)}}{2(1)}\\\\\\x=\dfrac{1\pm \sqrt5}{2}$

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Plh help me this is for a unit grade

luda_lava [24]

Answer:

B $\frac{5}{4}s$

Step-by-step explanation:

since last years income is $s$ , and $\frac{4}{4}$ = 1, them $\frac{4}{4}s$ = s.

adding $\frac{1}{4}s$ to $s$ would be equal to $\frac{5}{4}s$ , which is option B.

$\frac{4}{4}s + \frac{1}{4}s = \frac{5}{4}s$

4 0

3 years ago

Read 2 more answers

Round off 15.8% to the nearest whole percent with work shown

Rudik [331]

15.8% would round to 16%

If the number after the decimal point is 5 or greater you round the 5 up to a 6. If it had been less than a 5 it would have rounded down to 15%.

5 0

4 years ago

The height in feet, h, of a model rocket t seconds after launch is given by the equation h(t) = 3+70t - 16t^2. The average rate

andriy [413]

Answer:

The average rate of change

$\frac{dh}{d t} = 70 (1) - 16(2t)$

At t = 1

$\frac{dh}{d t} = 70 (1) - 16(2t) = 38$

at t=3

Step-by-step explanation:

Step(I):-

The given function h(t) = 3+70t - 16t²

$\frac{dh}{d t} = 70 (1) - 16(2t)$

The $\frac{dh}{d t} = 70 (1) - 16(2t) =0$

70 - 32 t = 0

⇒ 70 = 32 t

⇒ $t = \frac{70}{32} = \frac{35}{16}$

Step(ii):-

The average rate of change in h(t) between t = 1 second and t = 3 second

$\frac{dh}{d t} = 70 (1) - 16(2t)$

At t = 1

$\frac{dh}{d t} = 70 (1) - 16(2t) = 38$

At t = 3

8 0

3 years ago

Helpppppppppppppppppppppppppppppppppppppppppppppppppppp

labwork [276]

$y = mx + b\\ 6x + 4y = 8 \\ 4y = - 6x + 8 \\ y = - \frac{6}{4} + 2$
I hope it can help you.

4 0

4 years ago

A country x has a population growth rate of 3%. how many years will it take the population of country x to double? use continuou

Kaylis [27]

$A=Pe^{rt}$
A=future amount
P=present amount
r=rate in decimal
t=time in years

so
when will A=double of original?
or when will A=2P

r=3%=0.03
t=t

$A=Pe^{(0.03)t}$
$2P=Pe^{0.03t}$
divide both sides by P
$2=e^{0.03t}$
take ln of both sides
$ln(2)=ln(e^{0.03t})$
$ln(2)=0.03t ln(e)$
$ln(2)=0.03t (1)$
ln(2)=0.03t
divide both sides by 0.03
(ln(2))/0.03=t
use calculator
23.1049=t
so a little over 23 years, about 23 years and 38.2 days

3 0

4 years ago