A)
![\bf \textit{ vertex of a vertical parabola, using coefficients}\\\\ \begin{array}{llccll} y = &{{ -1}}x^2&{{ +28}}x&{{ -192}}\\ &\uparrow &\uparrow &\uparrow \\ &a&b&c \end{array}\qquad \left(-\cfrac{{{ b}}}{2{{ a}}}\quad ,\quad {{ c}}-\cfrac{{{ b}}^2}{4{{ a}}}\right)](https://tex.z-dn.net/?f=%5Cbf%20%5Ctextit%7B%20vertex%20of%20a%20vertical%20parabola%2C%20using%20coefficients%7D%5C%5C%5C%5C%0A%0A%5Cbegin%7Barray%7D%7Bllccll%7D%0Ay%20%3D%20%26%7B%7B%20-1%7D%7Dx%5E2%26%7B%7B%20%2B28%7D%7Dx%26%7B%7B%20-192%7D%7D%5C%5C%0A%26%5Cuparrow%20%26%5Cuparrow%20%26%5Cuparrow%20%5C%5C%0A%26a%26b%26c%0A%5Cend%7Barray%7D%5Cqquad%20%0A%5Cleft%28-%5Ccfrac%7B%7B%7B%20b%7D%7D%7D%7B2%7B%7B%20a%7D%7D%7D%5Cquad%20%2C%5Cquad%20%20%7B%7B%20c%7D%7D-%5Ccfrac%7B%7B%7B%20b%7D%7D%5E2%7D%7B4%7B%7B%20a%7D%7D%7D%5Cright%29)
check the picture below.
b)
![\bf f(x)=-x^2+28x-192\implies 0=-x^2+28x-192 \\\\\\ x^2-28x+192=0\implies (x-16)(x-12)=0\implies x= \begin{cases} 16\\ 12 \end{cases}](https://tex.z-dn.net/?f=%5Cbf%20f%28x%29%3D-x%5E2%2B28x-192%5Cimplies%200%3D-x%5E2%2B28x-192%0A%5C%5C%5C%5C%5C%5C%0Ax%5E2-28x%2B192%3D0%5Cimplies%20%28x-16%29%28x-12%29%3D0%5Cimplies%20x%3D%0A%5Cbegin%7Bcases%7D%0A16%5C%5C%0A12%0A%5Cend%7Bcases%7D)
what does this mean? check the picture below, notice the x-intercepts points.
Answer:
by using 24 oz of each in two separate pot
Step-by-step explanation:
Answer:
300 dollars
Step-by-step explanation:
Let the original amount = x
x - 2/5x was what his mother's share looked.
5/5 x - 2/5 x
3/5x is what is left.
3/5 x - 1/4 * 3/5 x - 2/3x * 3/5 = his sister's share and his brothers
3/5x - 1/4*3/5 x - 2/3 * 3/5 = 15
3/5x * (1 - 1/4 - 2/3) = 15
3/5 x 5/60 = 15
15 / 300 * x = 15
1/20 x = 15
x = 15 * 20
x = 300
Answer:
315
Step-by-step explanation:
If 70 children is 2 parts, one part is 35
35*9 is 315
Answer:
95
Step-by-step explanation:
Because you do parenthesis first left to right so 5 x 3=15 then you'll add 9 x 8=72+15=87 then addition and subtraction is next left to right so add 2=89 then+6=95