<h3>
Answer: Choice D</h3>
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Explanation:
The inequality sign has an "or equal to", which means the boundary line will be solid. We can rule out choices B and C because they have dashed boundary lines.
A solid boundary line means that points on the boundary are part of the solution set.
Now let's see what happens when we plug in a point like (x,y) = (4,0). This will tell us how to shade the blue region.
![-5x + 4y \ge -1 \\\\-5(4) + 4(0) \ge -1 \\\\-20 \ge -1 \\\\](https://tex.z-dn.net/?f=-5x%20%2B%204y%20%5Cge%20-1%20%5C%5C%5C%5C-5%284%29%20%2B%204%280%29%20%5Cge%20-1%20%5C%5C%5C%5C-20%20%5Cge%20-1%20%5C%5C%5C%5C)
This is false because -20 is not larger than -1. It's the other way around.
This tells us the point (4,0) is not in the blue shaded region, and it's not on the boundary line either. We can rule out choice A because of this.
The only thing left is choice D, which is the final answer. I recommend plugging a point from this region into the inequality to confirm we have a true statement.
Answer:
<h2>
<u>x = 20</u></h2>
Step-by-step explanation:
z = 20
y = 54
w = 54
3/4x - 2/3 = 5/6
3/4x = 5/6 + 2/3
3/4x = 5/6 + 4/6 = 9/6
x = (9/6)/(3/4)
The values of the coefficients a, b and c in the equation is -2, 1 and -1 respectively.
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two numbers and variables.
An independent variable is a variable that does not depend on any other variable for its value whereas a dependent variable is a variable that depend on any other variable for its value.
Given the polynomial:
-2x³ - 7x² + 3x - 4
Simplifying:
= -(2x² - x + 1)(x + 4)
Hence:
-2x³ - 7x² + 3x - 4 = (-2x² + x - 1)(x + 4)
(x + 4)(ax² + bx + c) = −2x³ − 7x² + 3x − 4
The values of the coefficients a, b and c in the equation is -2, 1 and -1 respectively.
Find out more on equation at: brainly.com/question/2972832
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Answer:
60 / 120 is terminating, the rest are repeating.