Answer:
h(g(n))=4n-9
Step-by-step explanation:
h(g(n))=4*g(n)-5 ( we replace n in the formule of h(n) by g(n).
h(g(n))=4(n-1)-5
h(g(n))=4n-4-5
h(g(n))=4n-9
Hope you understand it
Answer:
Option A - Neither. Lines intersect but are not perpendicular. One Solution.
Option B - Lines are equivalent. Infinitely many solutions
Option C - Lines are perpendicular. Only one solution
Option D - Lines are parallel. No solution
Step-by-step explanation:
The slope equation is known as;
y = mx + c
Where m is slope and c is intercept.
Now, two lines are parallel if their slopes are equal.
Looking at the options;
Option D with y = 12x + 6 and y = 12x - 7 have the same slope of 12.
Thus,the lines are parrallel, no solution.
Two lines are perpendicular if the product of their slopes is -1. Option C is the one that falls into this category because -2/5 × 5/2 = - 1. Thus, lines here are perpendicular and have one solution.
Two lines are said to intersect but not perpendicular if they have different slopes but their products are not -1.
Option A falls into this category because - 9 ≠ 3/2 and their product is not -1.
Two lines are said to be equivalent with infinitely many solutions when their slopes and y-intercept are equal.
Option B falls into this category.
Answer:
D. the object accelerates
Explanation:
Based on Newton's first law: "An object will maintain its state of rest or motion unless an external force acts on it"
An unbalanced forced means that there is a net force acting on the object. This will lead the object to either speed up, slow down, come to rest or change its direction.
This means that the net force caused by the unbalanced force will lead the object to accelerate.
Hope this helps :)
Answer:
125 defective jeans
Step-by-step explanation:
We are told that;
During inspections, 5 defective pairs of jeans are found in a shipment of 200 pairs of jeans .
We are supposed to determine the number of defective jeans in a shipment of 5000 pairs, if the trend continues.
Therefore;
5 defective = 200 pairs
What about in 5000 pairs?
Number of defective pairs = (5000 × 5 ) ÷ 200
= 125 defective pairs
Thus, in a shipment of 5000 pairs of jeans there will be 125 defective pairs