So its 20t+1.75 because each ticket is 20 dollars, so when you substitute 3 into t, the answer is 61.75
Answer:
x=-4
Step-by-step explanation:
X would be -4 because if you distribute 2 to (-3x-4) it would give you (-6x-8) and then collecting like terms you would get (x-8=-12) then you would add 8 to -12 whih would equal -4.
Answer:
letter d
Step-by-step explanation:
because 3.16 is close to number 3
Answer: Two sides are 7in, and the two other sides are 9.5 in.
Step-by-step explanation:
Since there are two sides that will be longer than the other two, 2.5 will be subtracted twice:
33in -2.5in -2.5in = 28in
Since there are 4 sides, 28in is divided by 4:
28in/4 = 7in
To find the 2 larger sides, add 2.5 back to the side length:
7in +2.5in = 9.5in
The given function is
f(x) = ![8x^{2}+2x-5](https://tex.z-dn.net/?f=%208x%5E%7B2%7D%2B2x-5%20)
Comparing with
![ax^{2}+bx+c](https://tex.z-dn.net/?f=%20ax%5E%7B2%7D%2Bbx%2Bc%20)
We get
a = 8, b = 2 & c = -5
Now if (h,k) is the vertex
then h =![-\frac{b}{2a}=-\frac{2}{2(8)}=-\frac{1}{8}](https://tex.z-dn.net/?f=%20%20-%5Cfrac%7Bb%7D%7B2a%7D%3D-%5Cfrac%7B2%7D%7B2%288%29%7D%3D-%5Cfrac%7B1%7D%7B8%7D%20)
Substituting the value of h in place of x in the function we get
k=![8(-\frac{1}{8})^2+2(-\frac{1}{8})-5 = -\frac{41}{8}](https://tex.z-dn.net/?f=%208%28-%5Cfrac%7B1%7D%7B8%7D%29%5E2%2B2%28-%5Cfrac%7B1%7D%7B8%7D%29-5%20%3D%20-%5Cfrac%7B41%7D%7B8%7D%20)
Now the vertex form of a quadratic equation is
f(x)= a(x-h)² + k
Substituting the values of a, h & k we get
f(x) = 8![8(x-(-\frac{1}{8}))^2+(-\frac{41}{8})](https://tex.z-dn.net/?f=%208%28x-%28-%5Cfrac%7B1%7D%7B8%7D%29%29%5E2%2B%28-%5Cfrac%7B41%7D%7B8%7D%29%20)
The vertex form of f(x) = 8x² +2x-5 is
f(x) = ![8(x+\frac{1}{8})^2-\frac{41}{8}](https://tex.z-dn.net/?f=%208%28x%2B%5Cfrac%7B1%7D%7B8%7D%29%5E2-%5Cfrac%7B41%7D%7B8%7D%20)
Answer