Answer:
∠ G = 26°, ∠ F = 154°
Step-by-step explanation:
Express ∠ F in terms of ∠ G, that is
F = 6G - 2
and since the angles are supplementary, then
G + 6G - 2 = 180, that is
7G - 2 = 180 ( add 2 to both sides )
7G = 182 ( divide both sides by 7 )
G = 26
Thus
∠ G = 26° and ∠ F = 6(26) - 2 = 156 - 2 = 154°
Answer:
2
Step-by-step explanation:
well if you get all of the fractions into percentage form they will be 20%for green 8% for blue so in turn it would mean 8% of 15 is 2
![y=2x^2+8x-9\\D=b^2-4ac\\D=64-4(2)(-9)\\D=64+72 > 0](https://tex.z-dn.net/?f=y%3D2x%5E2%2B8x-9%5C%5CD%3Db%5E2-4ac%5C%5CD%3D64-4%282%29%28-9%29%5C%5CD%3D64%2B72%20%3E%200)
There are 2 roots so the only way to complete the square is,
![y=2x^2+8x-9\\y=2[(x^2+4x)]-9\\y=2[(x^2+4x+4)-4]-9\\y=2[(x+2)^2-4]-9\\y=2(x+2)^2-8-9\\y=2(x+2)^2-17](https://tex.z-dn.net/?f=y%3D2x%5E2%2B8x-9%5C%5Cy%3D2%5B%28x%5E2%2B4x%29%5D-9%5C%5Cy%3D2%5B%28x%5E2%2B4x%2B4%29-4%5D-9%5C%5Cy%3D2%5B%28x%2B2%29%5E2-4%5D-9%5C%5Cy%3D2%28x%2B2%29%5E2-8-9%5C%5Cy%3D2%28x%2B2%29%5E2-17)
Just factor 2 out of 2x^2+8x (just ignore the -9) then find the number that will make the terms be able to complete the square.
then complete the square and multiply 2 inside the brackets.
subtraction as you already get the vertex form and know how to complete the square.
Vertex Form: ![y=2(x+2)^2-17](https://tex.z-dn.net/?f=y%3D2%28x%2B2%29%5E2-17)
15 divide 30 by 2 and you have your answer
Answer:
The graph will be discrete because there is no such thing as a partial person to sign up and the booth is set up once each day for sign ups.
Step-by-step explanation:
The difference between continuous and discrete graphs and functions is that a discrete function allows the variables to be only certain points in the interval, usually only integers; meanwhile, a continuous function allows the variables to be any points in the interval. Here, both variables are discrete, that is, the number of people is {0, 1, 2, 3, ...}, and days are {Monday, Tuesday, Wednesday, ...}