If 4/3x - 1/2 = 0 then x=
Answers
4/3x = 1/2 Add 1/2 to both sides
x = 3/8 Multiply each side by 3/4
It is important when doing equations like these to remember that you need to multiply by the reciprocal of the fraction, not divide by it. For example, if another you have 1/2x = 1, you need to multiply by 2/1 or 2, not divide by 1/2.
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When a circle (i.e. the cake) is cut through the radius, the parts formed are referred to as the sectors of the circle. The area of the slice in terms of is
Given that
--- the radius
--- central angle
The area of the slice is calculated using the area of a sector, as follows:
So, we have:
Hence, the area of the slice of cake is
Learn more about area of sectors at:
x 1 2 3 4
f(x) 1 8 27 64
If f(x) is shifted 4 units up to obtain g(x), which table of values represents the function g(x)?
x 5 6 7 8
g(x) 5 12 31 68
x 1 2 3 4
g(x) 5 12 31 68
x 5 6 7 8
g(x) 1 8 27 64
x 1 2 3 4
g(x) 4 32 108 256
Answers
The solution is Option B.
x = { 1 , 2 , 3 , 4 }
g(x) = { 5 , 12 , 31 , 68 }
The function g ( x ) = x³ + 4
How does the transformation of a function happen?
The transformation of a function may involve any change.
Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.
If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:
Horizontal shift (also called phase shift):
Left shift by c units: y=f(x+c) (same output, but c units earlier)
Right shift by c units: y=f(x-c)(same output, but c units late)
Vertical shift:
Up by d units: y = f(x) + d
Down by d units: y = f(x) - d
Stretching:
Vertical stretch by a factor k: y = k × f(x)
Horizontal stretch by a factor k: y = f(x/k)
Given data ,
Let the function be represented as A
Now , the value of A is
when x = 1
f ( x ) = 1
when x = 2
f ( x ) = 8
when x = 3
f ( x ) = 27
when x = 4
f ( x ) = 64
So , the equation will be y = x³ be equation (1)
Now , f(x) is shifted 4 units up to obtain g(x)
So , Vertical shift:
Up by d units: y = f(x) + d
Down by d units: y = f(x) - d
Substituting the values in the equation , we get
when x = 1
g ( x ) = 1 + 4 = 5
when x = 2
g ( x ) = 8 + 4 = 12
when x = 3
g ( x ) = 27 + 4 = 31
when x = 4
g ( x ) = 64 + 4 = 68
Therefore , the function is g ( x ) = x³ + 4
Hence , the function is g ( x ) = x³ + 4
To learn more about transformation of a function click :
#SPJ2
Answer:
The second answer is correct.
Step-by-step explanation:
So g(x) = f(x) + 4
If f(x) = 1, 8, 27, and 64 then g(x) = 5, 12, 31, and 68.
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Answer:
The person who created ixl is dead so why is ixl not.My teachers laugh when they give us ixl.
Step-by-step explanation:
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your answer is x > 9
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please leave thanks
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y = x2 + 2
where x represents the horizontal distance from the maximum depth of the mirror and y represents the depth of the mirror as measured from the x-axis
We are asked to solve for the distance from the center of the parabola or simply the value of y given a value of x of 2 inches.
Substituting:
y = 2^2 + 2
y = 6 inches
its not 6 i put that and got it wrong