Solution
To determine the vertical translation
We need to determine the amplitude
The amplitude is

Since the minimum is 4
Hence, the Vertical shift is 3+4 = 7
Part B
Given f(x) = 4 sin(θ - 45) + 8
The vertical translation is 8
-5x-12>6x-4
To Solve the inequality we need to get x alone
-5x-12>6x-4
first we remove -12, for that we add 12 on both sides
-5x-12+12>6x-4+12
-5x > 6x +8
Now subtract 6x from both sides
-5x -6x> 6x-6x +8
-11x > 8
Divide by -11. when we divide by -11 we flip the inequality . so > becomes <

We need to give the answer in interval notation.
x is less than -8/11 so x value starts from -8/1 and goes to -infinity(left)
So interval notation is (-∞,
)
I can't answer this question if we don't know by what scale the cylinder's radius was reduced. Luckily, I found the same problem that says the radius was reduced to 2/5. So, we find the ratio of both volumes.
V₁ = πr₁²h₁
V₂ = πr₂²h₂
where r₂ = 2/5*r₁ and h₂ = 4h₁
V₂/V₁ = π(2/5*r₁ )²(4h₁)/πr₁²h₁= 8/5 or 1.6
<em>Thus, the volume has increased more by 60%.</em>
Answer:
x=9
Step-by-step explanation:
isolate the variable by dividing each side by factors that dont contain the variables.
can i get the crown?
Answer:
wdym they all are graphed correctly its a number line.
Step-by-step explanation: