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:
y=-4x-6
Step-by-step explanation:
y=mx+b, where m is the slope and b is the y-intercept
Slope is given as -4, so:
y=-4x+b
To find b, sub in the point we were given (-2,2):
2=-4(-2)+b
2=8+b
b=2-8=-6
So we have: y=-4x-6
Answer:
sin(70°) =10/x
The distance Jeremy jumps from the ramp to the fire escape is <u>10.6</u> feet
Step-by-step explanation:
From the question shown in the picture attached, the vertical height Jeremy has to jump is: 15 - 5 = 10 ft
A right triangle is formed, where the angle between the hypotenuse (called x) and one of the legs is: 160° - 90° = 70°, and the vertical height Jeremy has to jump, is the leg opposite to that angle.
From sine definition:
sin(70°) = opposite/hypotenuse
sin(70°) = 10/x
x = 10/sin(70°)
x = 10.6 ft
20 pounds of lollipops. 20 x .95 = 19, 10 x 1.1 = 11. sorry i'm awful at explaining math.
We are given the bounds of x so after calculation
144 is the answer
