Option B: ![$y=-\sqrt[3]{x-4}+7$](https://tex.z-dn.net/?f=%24y%3D-%5Csqrt%5B3%5D%7Bx-4%7D%2B7%24)
is the new equation
Explanation:
The given equation is ![$y=-\sqrt[3]{x}$](https://tex.z-dn.net/?f=%24y%3D-%5Csqrt%5B3%5D%7Bx%7D%24)
We need to find the new graph which is shifted 7 units up and 4 units right.
First, we shall shift the graph 7 units up.
The general formula to shift the graph b units up is given by
Thus, to shift the graph 7 units up, let us substitute 
and ![f(x)=-\sqrt[3]{x}](https://tex.z-dn.net/?f=f%28x%29%3D-%5Csqrt%5B3%5D%7Bx%7D)
in the general formula, we have,
![y=$-\sqrt[3]{x}$+7](https://tex.z-dn.net/?f=y%3D%24-%5Csqrt%5B3%5D%7Bx%7D%24%2B7)
Now, we shall shift the graph 4 units right.
The general formula to shift the graph b units right is given by
Thus, to shift the graph 4 units right, let us substitute 
and ![f(x)=$-\sqrt[3]{x}+7$](https://tex.z-dn.net/?f=f%28x%29%3D%24-%5Csqrt%5B3%5D%7Bx%7D%2B7%24)
in the above equation, we have,
Therefore, the new equation is
Therefore, Option B is the correct answer.
We know that the graph goes in units of 1.
We know that the roots are -1 and 4. (Just assume it's accurate and not off by 0.0000000001.)
We can set it up as an equation: -1(x+1)(x-4) = y (I added -1 because there are two parabolas that go through those points on the x-axis, and since this parabola is facing down, I must add a negative a value.
Then multiply (F.O.I.L. - First, Outer, Inner, Last)
x^2 -4x + x - 4 = -(x^2 - 3x - 4) = -x^2 + 3x + 4
Then using -(b/2a) solve for vertex: -(3/-2) = 3/2
Plug 3/2 back into the equation.
-(3/2)^2 + 3(3/2) + 4 = -9/4 + (9/2) + 4 = 25/4
The vertex would be: (3/2, 25/4)
Axis of symmetry would be: x = 3/2
Answer:
PEMDAS
[(30+6)-3^2] ÷ by 9·2
[(30+6)-9] ÷ by 9·2
[(36)-9] ÷ by 9·2
(27) ÷ by 9·2
Division comes first in this equation. Multiplication & Division goes from left to right when using PEMDAS. Same thing goes for Addition & Subtraction.
[(27) ÷ 9] · 2
(3) · 2
Answer: 6
Hopefully that made sense!
Step-by-step explanation:
Answer:
1 : 656250
Step-by-step explanation:
It is given that we need to dissolve 8 tablets of active ingredient B, each containing 3 mg, in 15,750 mL.
Tablets = 8
Weight of each tablet = 3 mg
Total wight of tablets = 8 × 3 = 24 mg
Total volume = 15,750 mL.
1 mL = 1000 mg
Total volume = 15,750000 mg
We need to find the ratio strength (w/v).
Therefore, the ratio strength (w/v) is 1 : 656250.
Answer:
-1
Step-by-step explanation:
y-y=m(x-x)
-3-4=m(7-0)
-7=m(7)
m=-7/7
m=-1
