Answer:
Step-by-step explanation:
we have
![y=-2x^2+4x+3](https://tex.z-dn.net/?f=y%3D-2x%5E2%2B4x%2B3)
This is the equation of a vertical parabola open downward
The vertex represent a maximum
Convert the quadratic equation into vertex form
step 1
Factor -2
![y=-2(x^2-2x)+3](https://tex.z-dn.net/?f=y%3D-2%28x%5E2-2x%29%2B3)
step 2
Complete the square
![y=-2(x^2-2x+1)+3+2](https://tex.z-dn.net/?f=y%3D-2%28x%5E2-2x%2B1%29%2B3%2B2)
![y=-2(x^2-2x+1)+5](https://tex.z-dn.net/?f=y%3D-2%28x%5E2-2x%2B1%29%2B5)
step 3
Rewrite as perfect squares
----> equation in vertex form
The vertex is the point (1,5)
A phase shift is defined as the a<span>mount of x by which sinusoid is shifted to the left or right.
And yes, </span><span>every sine function be expressed as a phase shifted cosine function:
</span>
sin(t)=cos(90-t)
I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
Answer:
a = 82
b = 130
c = 118
Step-by-step explanation:
A quadrilateral is inscribed in a circle. So, it is a cyclic quadrilateral.
Opposite angles of a cyclic quadrilateral are supplementary.
Therefore,
a° + 98° = 180°
a° = 180° - 98°
a° = 82°
a = 82
By inscribed angle theorem:
a° = 1/2(b° + 34°)
82° * 2 = b° + 34°
164° - 34° = b°
b° = 130°
b = 130
Again by inscribed angle theorem:
76° = 1/2(c° + 34°)
76° *2 = c° + 34°
152° - 34° = c°
c° = 118°
c = 118
B, infinite solutions if x = x
Turn 1% into decimal which is 0.01.
5,000×0.01=50
12 months=1 year
50×12=600
600+5,000=5,600
Answer: He will have $5,600 in his account at the end of one year.
Hope this helps!!!