Answer:
2 batches
Step-by-step explanation:
(72 lb)/(34 lb/bat) = 2 2/17 bat
___
72 ÷ 34 = 2 remainder 4.
Mateo can make 2 full batches, and will have 4 pounds of apples remaining.
The fraction 4/34 can be reduced to 2/17. That is the fraction of a batch that Mateo could make with the extra 4 lbs. of apples.
The equation of parabola is y = -8(x -3)² - 9.
<h3>Define parabola.</h3>
A parabola is an approximately U-shaped, mirror-symmetrical plane curve in mathematics. It corresponds to a number of seemingly unrelated mathematical descriptions, all of which can be shown to define the same curves. A parabola can be described using a point and a line.
Given Data
Focus = (3, -9)
Directrix: y = -5
The focus-passing line has an equation of x = -5 that is perpendicular to the directrix. The symmetry line of a parabola is seen here.
The parameter of the parabola is the separation between the focus and the directrix, so
p = -9 - 3
p = -12
p = 12
The distance between the focus and the directrix is divided into two equal portions by the parabola's vertex, which is located on the line of symmetry. Its coordinates are as follows: (3,-9).
Since a parabola moves in the opposite direction of y, its equation is
y -(-9) = -2(4(x -3)²)
y + 9 = -8(x-3)²
y = -8(x -3)² - 9
The equation of parabola is y = -8(x -3)² - 9.
To learn more about parabola, visit:
brainly.com/question/13804934
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Answer:
14k-8
Step-by-step explanation:
8k - 2(4-3k)
distributive property
8k - 8 + 6k
add like terms
8k + 6k -8
14k - 8
14k - 8
If anyone will look for the value of k, k is 4/7 btw but the answer to simplify the expression would be 14k-8.
Hello from MrBillDoesMath!
Answer:
t = i /(Pr)
Discussion:
i = Prt => (divide both sides by "Pr")
i/(Pr) = (Prt)/(Pr)
= (Pr)t/(Pr)
= t (as (Pr)/(Pr) = 1)
Thank you,
MrB
The simplest form is 1/4 or 0.25
