Answer:
A. x < 6 and x > - 28
Step-by-step explanation:
We have been given the following inequality;
| x+11 | < 17
We can replace the absolute value function by re-writing the inequality as;
-17< x+11<17
subtract 11 from both sides;
-17-11<x+11-11<17-11
-28<x<6
splitting this we have;
x<6
x>-28
Answer:
The expression provided by the area (square meters) is given by:
.
Step-by-step explanation:
The area of the algae colony is a function of the radius r (meters), so
.
The radius of the circle formed by the algae colony is a function of time t (in minutes), so
. So,
[Substituting the expression for radius]

Then the expression provided by the area (square meters) is given by:
.
Answer:
zero slope
y-intercept at y = -4
Step-by-step explanation:
-4y = 16 (divide both sides by -4)
y = 16 / (-4)
y = -4
y = -4 represents a horizontal line that is parallel to the x-axis that crosses the y-axis at y = -4
hence the slope of a horizontal line is zero, and the y-intercept is -4
Answer:
A = -1
So, option (B) is the correct answer.
Step-by-step explanation:
The two points on line have coordinates: p (x₁, y₁) = (0, A) and q(x₂, y₂) = (2 , -3)
Slope of line = A
Slope of line = 
Now since the slope of line is A and its has two coordinates (0, A) and (2 , -3), ∴






So, option (B) is the correct answer.
The total number of plants are: 12 tomatoes + 5 cucumbers = 17 plants
The ratio of cucumbers plants to total plants is: 5 cucumbers to 17 plants total
So It can be expressed as: 5/17 or 5:17