Answer:
Option D.(60, 135)
Step-by-step explanation:
Let
x -----> the number of acres of peas
y ----> the number of acres of carrots
we know that
The inequality that represent the problem is equal to

so
<em>Verify each case</em>
case A) (-50,160)
substitute the value of x and the value of y in the inequality and then compare the result

----> is true
The point is a solution for the inequality, but is not a viable solution because the number of acres can not be a negative number
case B) (80,160)
substitute the value of x and the value of y in the inequality and then compare the result

----> is not true
therefore
The point is not a solution
case C) (75,-200)
substitute the value of x and the value of y in the inequality and then compare the result

----> is true
The point is a solution for the inequality, but is not a viable solution because the number of acres can not be a negative number
case D) (60,135)
substitute the value of x and the value of y in the inequality and then compare the result

----> is true
therefore
The point is a viable solution
The linear equation used to represent this situation is y = -75x + 6000
A linear equation is in the form:
y = mx + b;
where y, x are variable, m is the slope of the line and b is the y intercept.
Let y represent the amount of deer present in x years. There are 6000 deer presently, hence a = 6000. Also 75 more deer die than are born each year. Hence m = -75.
The linear equation is given by:
y = -75x + 6000
In 3 years:
y = -75(3) + 6000
y = 5775
For there to be 5325 deer:
5325 = -75x + 6000
x = 9 years
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Answer:
<u>Step 1: Determine why circle 1 is similar to circle 2</u>
The reason why circle 1 is similar to circle 2 is that they both expand at the same rate. While x grows larger, both circle 1 and circle 2 grow at a proportional rate. Circle 2 grows is 5 times bigger than circle 1 given any value 5.
<u>When x = 3:</u> circle 1 = 6 and circle 2 = 30
<u>When x = 10:</u> circle 1 = 20 and circle 2 = 100
Answer:
The x intercept is (-3,0)
The y intercept is (0,-6/5)
Step-by-step explanation:
To find the x intercept, set y =0 and solve for x
2x+5y=-6
2x+0 = -6
Divide by 2
2x/2 = -6/2
x = -3
The x intercept is (-3,0)
To find the y intercept, set x =0 and solve for y
2x+5y=-6
0+5y = -6
Divide by 5
5y/5 = -6/5
y = -6/5
The y intercept is (0,-6/5)