Answer:
see explanation
Step-by-step explanation:
(a)
To find the x- intercepts , let y = 0 , that is
6x - x² = 0 ← factor out x from each term
x(6 - x) = 0
Equate each factor to zero and solve for x
x = 0
6 - x = 0 ⇒ x = 6
Coordinates of P (6, 0 )
(b)
The axis of symmetry is a vertical line, positioned at the midpoint of the zeros
x = 
= 
= 3
Equation of axis of symmetry is x = 3
(c)
Given a parabola in standard form y = ax² + bx + c ( a ≠ 0 )
Then the x- coordinate of the vertex is
= - 
y = 6x - x² = - x² + 6x ← is in standard form
with a = - 1, b = 6 , then
= - 
= 3
Substitute x = 3 into y = 6x - x² for y- coordinate
y = 6(3) - 3² = 18 - 9 = 9
coordinates of maximum point = (3, 9 )
Answer:
No solution or x ∈ ∅
Step-by-step explanation:
We have given the equation ⇒ x+12 = (x+14) -3
if we solve this equation ⇒ x+12 = x+14-3
⇒x+12= x+11
⇒12 ≠ 11
which state that x ∈ ∅
i.e. there is no value of x which make the equation true
therefore, No solution
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▹ Answer
You can use a graphing calculator. Attached is a picture of it graphed.
Hope this helps!
CloutAnswers ❁
Brainliest is greatly appreciated!
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First, find the total number of ounces:
(28)(16) = 448 oz (16oz in a lb)
Then divide 448 by 8
448/8 = 56 days of food
Given:
A figure of dilation and the center of dilation is O.
To find:
The value of y.
Solution:
The distance between center and vertex of image (d') is proportional to the distance between center and the corresponding vertex of original figure (d).
Where, k is the scale factor or constant of proportionality.
So, the scale factor for the given dilation is
We know that,
Divide both sides by 9.
Therefore, the value of y is 12.
