In football a kicker can score one point for the extra point on a touchdown or three points for a field goal Logan is a kicker f
or his high school football team the record number of points scored by a kicker in a single game is 24 Logan is hoping to beat this record in his next game
Write a linear inequality to represent this situation then graph
Write a linear inequality to represent this situation then graph
2 answers:
Let the number of extra points on a touchline scored by Logan on the match be x and the number of field goals scored by Logan be y, then the ineaquality representing the situation wher Logan beats the record number of points scored by a kicker in a single match of 24 is given by:
x + 3y > 24
The graph is attached
x + 3y > 24
The graph is attached
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Answer:
Volume of prism = 3,240 cm³
Step-by-step explanation:
GIven.
Hexagonal prism.
Side of base(b) = 12cm
Height of prism = 9cm
Height of base (h)= 10cm
Find:
The volume of the prism.
Computation:
Area of base of hexagonal prism = n/2[bh]
Area of base of hexagonal prism = 6/2[(12)(10)]
Area of base of hexagonal prism = 360 cm²
The volume of prism = Area of base of hexagonal prism × Height of prism
The volume of prism = 360 × 9
Volume of prism = 3,240 cm³
Answer: 4
Step-by-step explanation:
Let N be the total number of runs.
The microscopes per year will be equal to the total number of runs * microscopes per run
total number of microscopes = total number of runs * microscopes per run
now we have each run to cost 2500, therefore:
run costs = 2500 * total runs = 2500*N
we also have insurance and storage costs (note the average thats why we divide by 2):
storage costs = 20* microscopes per run /2 = 20*N/2
insurance costs = 15 * microscopes per run = 15*N
the costs are:
costs = run costs + storage + insurance
now the comany sells 1600 microscopes a year, so in order to figure out the number of microscopes per run we divide 1600 by the total number of runs N and replace in the costs
costs = 2500N + 40000/N => C(N) = 2500N + 40000/N
now derivate the function with respect to N and equal to 0:
this gives you two solutions, N = -4 which is not eligible (you cant make negative microscopes lol) and N = 4 which is the answer
have a nice day
Answer:
1. Tracie's bus travels towards her home at an average speed of miles per minute.
Step-by-step explanation:
From the graph, we see that,
X-axis represents the time (in minutes) and the Y-axis represents the distance from home (in miles).
Also, the graph of the function is decreasing by 1 miles for every 2 minutes.
That is, the distance from home is decreasing as the time increases.
That is, the bus is getting closer to the home.
Further, as the distance is decreasing by 1 mile for every 2 minutes.
Thus, the rate of decrease is miles per minute.
As we know,
<em>So, the slope represents the speed of the bus travelling towards home.</em>
That is, 'Tracie's bus travels towards her home at an average speed of miles per minute'.