<h3>
Answer: b = 4 and c = 7.</h3>
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Explanation:
Comparing y = x^2+bx+c to y = ax^2+bx+c, we see that a = 1.
The vertex given is (-2,3). In general, the vertex is (h,k). So h = -2 and k = 3.
Plug those three values into the vertex form below
y = a(x-h)^2 + k
y = 1(x-(-2))^2 + 3
y = (x+2)^2 + 3
Then expand everything out and simplify
y = x^2+4x+4 + 3
y = x^2+4x+7
We see that b = 4 and c = 7.
Answer:
2 people
Step-by-step explanation:
Total number of people (n) = 50
Borderlands II (B) = 20
Fortnite (F) = 33
Minecraft (M) = 19
Borderlands and Fortnite (B&F) = 15
Borderlands and Minecraft (B&M)= 10
All games (B&M&F) = 5
The number of people that claimed more than one game as their favorite (X) is given by:

Those people can be divided in B&F only, B&M only, M&F only and B&M&F:

7 people claimed that Minecraft and Fortnite were their favorites however, 5 of those people claimed all of the games as their favorite. Therefore, only 2 people declared Minecraft and Fortnite (exclusively) as their favorites.
Answer:
Speed = 20 m/s
Step-by-step explanation:
The formula to find the speed of a wave is found by
Speed = Wavelength x Frequency where the frequency is in HZ and the wavelength is in meters
Speed = .80*25
Speed = 20 m/s
Answer:
The interest After 6 years is $ 79.03
Step-by-step explanation:
Given as :
The principal amount deposited in account = $ 700
The rate interest earn = 1.8 % per year
The Time period = 6 years
<u>From Compounded Method </u>
Amount = Principal × 
Or, Amount = $ 700 × 
Or, Amount = $ 700 × 
Or, Amount = $ 700 × 1.1129
∴ Amount = $ 779.03
Now , Interest = Amount - Principal
I.e Interest = $ 779.03 - $ 700 = $ 79.03
Hence The interest After 6 years is $ 79.03 , Answer
600
explanation: well, since 140.3 divided by 600 is equal to 0.233833333... means that is that 140.3 is the 23 percent of 600