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IrinaK [193]
4 years ago
10

Complete the table below to find solutions to the linear equation - 2x +y = 2

Mathematics
1 answer:
svetlana [45]4 years ago
5 0

Answer: for one its linear i just dont get what your looking for

Step-by-step explanation:

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Select ALL the ratios that are equivalent to 16 : 6
givi [52]

Answer:

The answer will be b &c

Step-by-step explanation:

Because it is equivalent to 16:6

6 0
3 years ago
PLEASE HELP! See attachment:
beks73 [17]
\bf f(x)=x^2e^{-2x}\\\\
-----------------------------\\\\
\cfrac{dy}{dx}=2xe^{-2x}+x^2\cdot -2e^{-2x}\implies \cfrac{dy}{dx}=xe^{-2x}(2-2x)
\\\\\\
\cfrac{dy}{dx}=\cfrac{x(2-2x)}{e^{2x}}\implies 0=\cfrac{x(2-2x)}{e^{2x}}
\\\\\\
0=x(2-2x)\implies 
\begin{cases}
0=x\\
0=2-2x\implies 2x=2\implies x=1
\end{cases}

now, bear in mind, that zeroing out the denominator, also gives critical points, usually asymptotic points, where the derivative is undefined, now, in this case, the denominator is never zero, so we don't get any from the denominator, just from the numerator, and are 0 and 1

now check the picture below

running a first-derivative test on it, those are the values on those regions

you get a negative, regardless of what it might be, what matters is the sign
you get a positive, and then a negative

so, f(x) goes down, then up then down

now, you can see, there's on relative minimum and a relative maximum

6 0
3 years ago
Jack has a saving account of value $65,550 at the start. The saving account has an interest rate of 3% that is compounded every
aksik [14]

Given:

Principal value = $65,550

Rate of interest = 3% compounded every six month

To find:

The taken to have $100,000 in Jack's account.

Solution:

The formula for amount is

A=P(1+\dfrac{r}{n})^{nt}

where, P is principal, r is rate of interest, n is number of times interest compounded in an year, t is time in number of years.

Interest compounded every six month. It means, interest compounded 2 times in an year.

Substitute A=100000, r=0.03 and n=2 in the above formula.

100000=65550(1+\dfrac{0.03}{2})^{2t}

\dfrac{100000}{65550}=(1+0.015)^{2t}

1.525553=(1.015)^{2t}

Taking log on both sides.

\log (1.525553)=\log (1.015)^{2t}

\log (1.525553)=2t\log (1.015)

\dfrac{\log (1.525553)}{2\log (1.015)}=t

t=14.1838928

t\approx 14.18

Therefore, after 14.18 year the amount will reach at $100,000 or we can say that in 15th year the amount will reach at $100,000.

3 0
3 years ago
60/8+X + 60/8-X = 16
Anuta_ua [19.1K]

Answer:

<h2>x = -2 or x = 2</h2>

Step-by-step explanation:

Domain:\\8+x\neq0\ \wedge\ 8-x\neq0\\\boxed{D:x\neq-8\ \wedge\ x\neq8}\\\\\dfrac{60}{8+x}+\dfrac{60}{8-x}=16\\\\\dfrac{60(8-x)}{(8+x)(8-x)}+\dfrac{60(8+x)}{(8+x)(8-x)}=16\qquad\text{use}\ a^2-b^2=(a-b)(a+b)\\\\\dfrac{60(8-x)+60(8+x)}{8^2-x^2}=16\qquad\text{use the distributive property}\\\\\dfrac{(60)(8)+(60)(-x)+(60)(8)+(60)(x)}{64-x^2}=16\\\\\dfrac{480-60x+480+60x}{64-x^2}=16\qquad\text{combine like terms}\\\\\dfrac{(480+480)+(-60x+60x)}{64-x^2}=16\\\\\dfrac{960}{64-x^2}=16

\dfrac{960}{64-x^2}=\dfrac{16}{1}\qquad\text{cross multiply}\\\\16(64-x^2)=(960)(1)\qquad\text{use the distributive property}\\\\(16)(64)+(16)(-x^2)=960\\\\1024-16x^2=960\qquad\text{subtract 1024 from both sides}\\\\1024-1024-16x^2=960-1024\\\\-16x^2=-64\qquad\text{divide both sides by (-16)}\\\\\dfrac{-16x^2}{-16}=\dfrac{-64}{-16}\\\\x^2=4\to x=\pm\sqrt4\\\\x=\pm2\in D

3 0
4 years ago
Help me plz due soon
chubhunter [2.5K]
It's exponential decay by 10%
3 0
3 years ago
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