Answer:
C - f(t) = 4(t − 1)^2 + 2; the minimum height of the roller coaster is 2 meters from the ground.
Step-by-step explanation:
Here we're asked to rewrite the given equation f(t) = 4t^2 − 8t + 6 in the form f(t) = a(t - h)^2 + k (which is known as the "vertex form of the equation of a parabola.") Here (h, k) is the vertex and a is a scale factor.
Let's begin by factoring 4 out of all three terms:
f(t) = 4 [ t^2 - 2t + 6/4 ]
Next, we must "complete the square" of t^2 - 2t + 6/4; in other words, we must re-write this expression in the form (t - h)^2 + k.
(To be continued)
Answer: The Earth makes one rotation every day.
Step-by-step explanation:
Answer:
1.509909034 x10 ^36
Step-by-step explanation:
10 plus 18 is 28
Then you would multiply 28 by 25 numbers of itself.
Let's solve this problem step-by-step.
6+0.1x=0.15x+8
Step 1: Simplify both sides of the equation.
0.1x+6=0.15x+8
Step 2: Subtract 0.15x from both sides.
0.1x+6−0.15x=0.15x+8−0.15x
−0.05x+6=8
Step 3: Subtract 6 from both sides.
−0.05x+6−6=8−6
−0.05x=2
Step 4: Divide both sides by -0.05.
-0.05x/-0.05=2/-0.05
So, the answer for this problem is x=-40
Step-by-step explanation:
x²-11x+32=4
x²-11x+28=0
(x-4)(x-7)=0
x=4 or x=7
_______
x²+8x-5=4
x²+8x-9=0
(x+9)(x-1)=0
x=-9 or x=1
_______
x²+x+4=5x+1
x²-4x+3=0
(x-1)(x-3)=0
x=1 or x=3
________
x²+x-24=-8x-2
x²+9x-22=0
(x+11)(x-2)=0
x=-11 or x=2
