Write the linear inequality shown in the graph.
1 answer:
Fist, in the equation y=mx+b, b is the y-intercept. The y-intercept is the poin on the line that crosses the x-axis; the y-intercept is the value of yThese equations follow that format.
Y=mx+b
y
3x-4. <-----In this equation, the slope(m)=3 b= -4.
On the graph, we can see that the line crosses the x-axis at y=-4. Knowing that, we can eliminate the answer choices with +4 in the inequality.
The next step, is to pick an (x,y) coordinate that is in the shaded region and plug it into the remaining 2 inequalities. Which ever inequality is true after you solve it, that is the correct answer.
For example, I'll choose to plug in (-4,4) into the y 3x-4.
y 3x-4.
(4) (3(-4))-4.
(4) (-12)-4.
(4) -16
So, this statement is true becasue -16 is less than positive 4. Therefore, the correct answer would be y 3x-4. Hope that helped! Comment back with any further questions!
Y=mx+b
y
On the graph, we can see that the line crosses the x-axis at y=-4. Knowing that, we can eliminate the answer choices with +4 in the inequality.
The next step, is to pick an (x,y) coordinate that is in the shaded region and plug it into the remaining 2 inequalities. Which ever inequality is true after you solve it, that is the correct answer.
For example, I'll choose to plug in (-4,4) into the y
y
(4)
(4)
(4)
So, this statement is true becasue -16 is less than positive 4. Therefore, the correct answer would be y
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First, according to the information, we build a linear model, and then, the model is used to find the information asked.
a) The linear model is:
b) The depreciated value of the boat after 10 years is of $156,000.
c) The depreciated value falls below $100,000 after 18.24 years.
d) The sketch is given at the end of the answer.
Item a:
- The initial value is of $224,000, thus, the y-intercept of the linear function is of
.
- The value decayed to $115,200 in 16 years, thus, the slope of the linear function is:
Then, the linear model is:
Item b:
The value after 10 years is V(10), so:
Then, the depreciated value of the boat after 10 years is of $156,000.
Item c:
This is t for which: V(t) = 100000. So
The depreciated value falls below $100,000 after 18.24 years.
Item d:
The sketch is appended at the end of this answer.
A similar problem is given at brainly.com/question/24978772
This is a linear equation in slope-intercept form. We can see that the slope is -1 and the y-intercept is -3 -- the line passes through (0, -3).
To graph this, we can simply plot the point (0, -3) and draw a line with slope negative 1 (this means that for every unit right, we have to move 1 unit down.
I have attached a picture of the graph.
