Step-by-step explanation:
step 1. 4x + 27 + 3x = 90 (definition of a rectangle)
step 2. 7x = 63 (collect like terms. subtract 27 from both sides)
step 3. x = 9 (divide both sides by 7)
Since 11 out of 55 specials were salmon filet,
The percentage of specials that were salmon filet is 11/55 = 20/100 = 20%.
Answer: Vertex = (2, -15) 2nd point = (0, -3)
<u>Step-by-step explanation:</u>
g(x) = 3x² - 12x - 3
= 3(x² - 4x - 1)
a=1 b=-4 c=-1
Find the x-value of the vertex by using the formula for the axis of symmetry: 


= 2
Find the y-value of the vertex by plugging the x-value (above) into the given equation: g(x) = 3x² - 12x - 3
g(2) = 3(2)² - 12(2) - 3
= 12 - 24 - 3
= -15
So, the vertex is (2, -15) ← PLOT THIS COORDINATE
Now, choose a different x-value. Plug it into the equation and solve for y. <em>I chose x = 0</em>
g(0) = 3(0)² - 12(0) - 3
= 0 - 0 - 3
= -3
So, an additional point is (0, -3) ← PLOT THIS COORDINATE
Answer:
t=7,t=0
Step-by-step explanation:
2t^2-14t+3=3
Subtract 3 from both sides
2t^2 - 14t +3 - 3 = 3-3
Simpilfy
2t^2 -14t = 0