The equation of the parabola in the vertex form is y = (x - 3 - 5 with ( 3, -5) is the vertex of the parabola and 1 is the multiplier
In the above question, A parabolic equation is given as follows:
Y = x^2 - 6x + 4
The equation of the parabola in the vertex form is :
y = a (x - h + k
Where a is a multiplier in the equation and (h,k) are the coordinates of the vertex
So, in order to obtain this form, we will use the method of completing square :
Y = x^2 - 6x + 4
y = - 6x + (9 -9) + 4
y = (x - 3 + ( -9 + 4)
y = (x - 3 - 5
where, ( 3, -5) is the vertex of the parabola and 1 is the multiplier
Hence, The equation of the parabola in the vertex form is y = (x - 3 - 5 with ( 3, -5) is the vertex of the parabola and 1 is the multiplier
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The answer to that is: X = 8.
40 divided by 5 = 8.
To check we can do 5 x 8 = 40.
X = 8
Answer:
First dimension= 12ft Second dimension= 12×2.5=30ft
Step-by-step explanation:
From the question, I was able to deduce that the swimming pool is a cuboid, and the formula for finding the volume of a cuboid is Length×Breadth×Height.
let the first dimension be the length and the second dimension be the breadth.
Therefore, the length=L , Breadth= 2.5×L= 2.5L and Height= 8ft. L×2.5L×8 = 2880 cubic feet.
2.5L²×8= 2880 cubic feet. Therefore, L²= 2880/(2.5×8)=144. L²=144. L=√144. L=12ft. and breadth= 2.5×Length= 2.5×12ft=30ft.
In a nutshell the first dimension is 12ft, and the second is 30ft.
Answer:
f(x)=-1/3x+7 2/3
Step-by-step explanation:
Find the slope:
m= -1/3
Find the y-intercept:
b= -7 2/3
Answer:
Step-by-step explanation:
The question relates to the evaluation of an expression given the values of the variables of the expression;
The given expression is
The values of the terms at which the given expression is to be evaluated are;
f = -4 and j = 2
By plugging in the values, we get;
At f = -4 and j = 2,
(-4)⁰ = 1
2⁻³ = 1/8
We get;
Therefore;