you need a picture so someone can answer your question !
The correct answer is 19,200. Hope this helps. :)
Answer:
Step-by-step explanation:
1 inequality will model the number of hours he spends on the carvings per week and the other inequality will model the amount of money he will spend on materials per week.
He spends 3 hours on type X and 2 hours on type Y, so
3X + 2Y models the hours he spends on each. If he can spend up to 36 hours per week, the inequality sign is less than or equal to. Therefore, the inequality for the number of hours he can spend per week on type X and Y carvings is
3X + 2Y ≤ 36
Now for the money inequality.
He spends $4 for type X carvings and $5 for type Y carvings, so 4X + 5Y models that part of the inequality. If he can spend up to $100 per week, the inequality sign is less than or equal to here as well.
4X + 5Y ≤ 100
Those are the 2 inequalities that make up the system.
We must to remember what is the standard form of equation of straight line. It looks like that:
Ax+By+C=0. A,B and C it's coefcients; x and y - it's variables.A and B must not be equal to zero at same time.This condition can be writen like this: (A^2+B^2) not equal to zero.
We know that x=2 ("after two hours") and y=15 ("velocity of the cyclist is 15 km/h")
AND
x=5 ("after five hours") and y=12 ("velocity of the cyclist is 12 km/h").
Lets look at standart form and give the values on variables.1. 2A+15B+C=0
2. 5A+12B+C=0and it is system.let's subtract the bottom equation from the top -3A+3B=03A=3BA=B.So we can choose any value for A and B, just A=B.I choose for A=B=1.Our equation takes the formx+y+C=0
x+y=-C
and if we giving the value to variables, we can find coefficients "C".
5+12=-CC=-17.
Standart form is:x+y-17=0. ---- answer for Part A.
and the graph of this function is a straight line.For find the answer to Part B, we need to prolong our straight line into the perpendicular vertical line wich contain x=12.
In the point of the intersection of the lines, you must to turn at right angle to axis OY and to come at the value in the axis OY, it's will be the velocity after 12 hours
A : for x = 4 y = 16 not 6 FALSE
B : for x = 4 y = 20 not 6 FALSE
C : for x = 4 y = 11 not 6 FALSE
D : for x = 4 y = x + 2 = 6 is
6 The Last one verifying the first row of the table
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