Answer: No
Step-by-step explanation:
![(x-5)(x+7)=12](https://tex.z-dn.net/?f=%28x-5%29%28x%2B7%29%3D12)
Replace x for 5 and -7 separately.
![(5-5)(5+7)=12\\0(12)=12\\0=12](https://tex.z-dn.net/?f=%285-5%29%285%2B7%29%3D12%5C%5C0%2812%29%3D12%5C%5C0%3D12)
![(-7-5)(-7+7)=12\\-12(0)=12\\0=12](https://tex.z-dn.net/?f=%28-7-5%29%28-7%2B7%29%3D12%5C%5C-12%280%29%3D12%5C%5C0%3D12)
Answer:
128
Step-by-step explanation:
483/3.5
M = (t+1)/(t-3)
m(t-3) = t+1
mt-3m = t+1
(m-1)t = 3m+1
t = (3m+1)/(m-1)
ANSWER:
tan(30⁰)=√3/3
cos(30⁰)=√3/2
<h3>switch sides:</h3>
sin(x) /√3/2 =√3/3
<h3>multiply both sides by 3:</h3>
3·sin(x) /√3/2 =3·√3/3
<h3>simplify:</h3>
2√3 sin (x) =√3
<h3>divide both sides by 2√3:</h3>
2√3 sin (x) / 2√3 = √3 / 2√3
<h3>simplify: </h3>
<u><em>sin (x)= 1/2</em></u>
Answer:
<em>a) </em>
<em />
<em>b) Nicki's house is worth $281,143 in 4 years</em>
Step-by-step explanation:
<u>Exponential Growth Function
</u>
The exponential function is commonly used to model natural growing or decaying processes where the change is proportional to the actual quantity.
An exponential growth function is expressed as:
![C(t)=C_o\cdot(1+r)^t](https://tex.z-dn.net/?f=C%28t%29%3DC_o%5Ccdot%281%2Br%29%5Et)
Where:
C(t) is the actual value of the function at time t
Co is the initial value of C at t=0
r is the growth positive rate, expressed in decimal
Nicki paid Co=$245,000 for a house and it's known that home prices increase by r=3.5%=0.035 each year.
a)
Substituting the given values, the equation is:
![C(t)=245,000\cdot(1+0.035)^t](https://tex.z-dn.net/?f=C%28t%29%3D245%2C000%5Ccdot%281%2B0.035%29%5Et)
![\mathbf{C(t)=245,000\cdot(1.035)^t}](https://tex.z-dn.net/?f=%5Cmathbf%7BC%28t%29%3D245%2C000%5Ccdot%281.035%29%5Et%7D)
b) The value of Nicki's house in t=4 years is:
![C(4)=245,000\cdot(1.035)^4](https://tex.z-dn.net/?f=C%284%29%3D245%2C000%5Ccdot%281.035%29%5E4)
![C(4)=245,000\cdot 1.148=281,143](https://tex.z-dn.net/?f=C%284%29%3D245%2C000%5Ccdot%201.148%3D281%2C143)
Nicki's house is worth $281,143 in 4 years