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2 answers:
Answer:
The third one from left to right
Step-by-step explanation:
Just check that when x = 11
y=
So the graph passes through the point (11,2)
Answer:
<u>The graph that shows a line that connects the coordinates (-5, 6) , (2, 5) and (11, 2) is graph C (in the upper part of the image uploaded) </u>
Step-by-step explanation:
Given the function y = - ∛ x - 3 + 4, let's find the correct graph:
1. What is the value of y if x = - 5?
y = - ∛ x - 3 + 4
y = - ∛ -5 - 3 + 4
y = - ∛ -8 + 4
y = 2 + 4 = 6
2. What is the value of y if x = 2?
y = - ∛ x - 3 + 4
y = - ∛ 2 - 3 + 4
y = - ∛ -1 + 4
y = 1 + 4 = 5
3. What is the value of y if x = 11?
y = - ∛ x - 3 + 4
y = - ∛ 11 - 3 + 4
y = - ∛ 8 + 4
y =- 2 + 4 = 2
<u>The graph that shows a line that connects the coordinates (-5, 6) , (2, 5) and (11, 2) is graph C (in the upper part of the image uploaded) </u>
On graph C, we confirm two important facts:
A. For any given value of x, y remains positive.
B. The value of y is decreasing at the same time that the value of x is increasing.
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<u>Given</u>:
Given that the graph of the equation of the line.
The line that is perpendicular to the given line and passes through the point (2,-1)
We need to determine the equation of the line perpendicular to the given line.
<u>Slope of the given line:</u>
The slope of the given line can be determined by substituting any two coordinates from the line in the slope formula,
Substituting the coordinates (-1,3) and (2,2), we get;
Thus, the slope of the given line is
<u>Slope of the perpendicular line:</u>
The slope of the perpendicular line can be determined by
Substituting , we get;
simplifying, we get;
Thus, the slope of the perpendicular line is 3.
<u>Equation of the perpendicular line:</u>
The equation of the perpendicular line can be determined using the formula,
Substituting and the point (2,-1) in the above formula, we have;
Thus, the equation of the perpendicular line is
Hence, Option d is the correct answer.