The equation that represents the given data is
Option D is the correct answer.
<h3>What is a Function ?</h3>
It is a statement where two variables , one dependent and one independent are related.
It is given that
a cube root function goes through (8, 2), has an inflection point at (0, negative 1), and goes through (8, negative 3).
The equation given in the options are
![\rm f(x) = -\sqrt[3]{x} \\f(x) = -\sqrt[3]{x-1} \\f(x ) =-\sqrt[3]{-x} -1 \\f(x) = -\sqrt[3]{-x}](https://tex.z-dn.net/?f=%5Crm%20f%28x%29%20%3D%20-%5Csqrt%5B3%5D%7Bx%7D%20%5C%5Cf%28x%29%20%3D%20-%5Csqrt%5B3%5D%7Bx-1%7D%20%5C%5Cf%28x%20%29%20%3D-%5Csqrt%5B3%5D%7B-x%7D%20-1%20%5C%5Cf%28x%29%20%3D%20-%5Csqrt%5B3%5D%7B-x%7D)
The function goes through (8,2)
Substituting the values
f(x) = -2
f(x) = ![\sqrt[3]{7}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B7%7D)
f(x) = -3
f(x) = 2
The equation that represents the given data is
Option D is the correct answer.
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Answer:
B. x = 14, y = 14
Step-by-step explanation:
Look up "45 45 90 triangle" to see rules that are consistent between all triangles like this.
John sold 10 hamburgers and 14 cheeseburgers.
Step-by-step explanation:
Given,
Cost of one hamburger = $3
Cost of one cheeseburger = $3.50
Total burgers sold = 24
Total revenue earned = $79
Let,
Number of hamburgers sold = x
Number of cheeseburgers sold = y
According to given statement;
x+y=24 Eqn 1
3x+3.50y=79 Eqn 2
Multiplying Eqn 1 by 3

Subtracting Eqn 3 from Eqn 2

Dividing both sides by 0.50

Putting y=14 in Eqn 1

John sold 10 hamburgers and 14 cheeseburgers.
Keywords: linear equation, elimination method
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Answer:
D. y = 4x - 6
Step-by-step explanation:
The equation that is perpendicular to the line MN should have a slope that when multiplied by the slope of line MN will result to negative one. Therefore,
Therefore,
m₁ × m₂ = -1
Using the 2 coordinates of MN let's find the slope,
(-7, 6)(5, 3)
Therefore,
m₁ = 3 - 6 / 5 - (-7) = -3 / 12 = - 1 / 4
The equation that represent a line perpendicular to the line MN is
y = 4x - 6 because the slope slope(m₂) is 4.
From our formula,
4 × - 1 / 4 = - 1
So, option D meets the requirement.